# UNITED STATES TAX COURT

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## Record

- **Collection:** Agency decision
- **Document type:** Agency decision

## Text

120 T.C. No. 11

UNITED STATES TAX COURT

BANK ONE CORPORATION (SUCCESSOR IN INTEREST TO FIRST
CHICAGO NBD CORPORATION, FORMERLY NBD BANCORP, INC.,
SUCCESSOR IN INTEREST TO FIRST CHICAGO CORPORATION)
AND AFFILIATED CORPORATIONS, Petitioner v.
COMMISSIONER OF INTERNAL REVENUE, Respondent

Docket Nos. 5759-95, 5956-97.

Filed May 2, 2003.

F, a financial institution, enters into bilateral
contracts which are a type of derivative financial
product known as interest rate swaps. Most of F’s
swaps are of the plain vanilla type where one party
(first party) agrees to pay to the other party (second
party) amounts ascertained as of certain dates by
applying a fixed rate of interest to a set notional
amount. The second party agrees to pay to the first
party amounts ascertained as of the same dates by
applying a floating rate of interest (e.g., LIBOR rate)
to the same notional amount. For purpose of the
mark-to-market rule of sec. 475(a)(2), I.R.C., which
applies to taxable years ended after Dec. 30, 1993, F
reported that the fair market value of its swaps as of
Dec. 31, 1993, equaled their mid-market values; i.e.,
the values derived through a net cashflow/present value
analysis that was based on the average of each swap’s

-2market bid and ask rates. In addition, F deferred the
recognition of the difference between its valuation and
the bid or ask prices which it paid or received for the
swaps, treating that difference as deferred income
designed to compensate it for (1) the perceived credit
risks of its counterparties and (2) the estimated
administrative costs to be incurred on holding and
managing the swaps until maturity. F used a similar
method to report its swaps income for 1990 through
1992. F ascertained the values of its swaps for each
of the years 1990 through 1993 as of a date that was
approximately 10 days before the last day of F’s
taxable year and reported that value as the swaps’ fair
market value as of the last day of that year. R
determined that F’s method of reporting its swaps
income did not clearly reflect F’s swaps income for any
of the years from 1990 through 1993. R determined that
a proper method values F’s swaps as of the end of each
year at the midmarket values and does not take into
account any deferral for credit risk or future
administrative costs. Pursuant to sec. 446(b), I.R.C.,
R changed F’s method of accounting for its swaps income
to R’s “proper” method.
Held: The mark-to-market rule of sec. 475(a)(2),
I.R.C., including the valuation requirement subsumed
therein, is a method of accounting that is subject to
the clear reflection of income standard of sec. 446(b),
I.R.C.
Held, further, F’s method of accounting for its
swaps income does not clearly reflect its swaps income
under sec. 475, I.R.C., in that F’s values were not
determined at the end of its taxable years and did not
properly reflect adjustments to the midmarket values
which were necessary to reach the swaps’ fair market
value.
Held, further, R’s “proper” method of accounting
for F’s swaps income does not clearly reflect that
income under sec. 475, I.R.C., in that a swap’s
mid-market value without adjustment does not reflect
the swap’s fair market value.
Held, further, to arrive at the fair market value
of a swap and other like derivative products, it is
acceptable to value each product at its midmarket value
as properly adjusted on a dynamic basis for credit risk
and administrative costs. A proper credit risk
adjustment reflects the creditworthiness of both
parties, with due respect to netting and other credit

-3enhancements. A proper administrative costs adjustment
is limited to incremental costs.

Jay H. Zimbler, John L. Snyder, Michael A. Clark, Michael R.
Schlessinger, Bradford L. Ferguson, David M. Schiffman, John
Wester, Kevin R. Pryor, Michael M. Conway, Marilyn D. Franson,
and Hille R. Sheppard, for petitioner.*
Marjory A. Gilbert, Marsha A. Sabin, Joseph P. Ferrick, John
W. Rogers III, Charles W. Culmer, Michael O’Donnell, and William
Merkle, for respondent.
CONTENTS
FINDINGS OF FACT............................................. 14
I.

II.

Background....................................... 14
A.

Stipulations of Fact........................... 14

B.

Briefs on CD-ROM With Appropriate Hyperlinks... 14

C.

Relevant Taxpayers............................. 15
1. FCC....................................... 15
2. First Chicago NBD Corp.................... 15
3. FNBC...................................... 15
4. Bank One Corp............................. 16

The Swaps Business............................... 17
A.

Swaps in General............................... 17
1. Definition of a Swap...................... 17

* Brief of amici curiae was filed by Leslie B. Samuels and
Edward D. Kleinbard as counsel for the American Bankers
Association, the Institute of International Bankers, the
International Swaps and Derivatives Association, Inc., the
Securities Industry Association, the New York Clearing House
Association L.L.C., and the Wall Street Tax Association.

-42.
3.

Swaps Are Derivative Financial Products... 17
Types of Swaps in the Marketplace......... 19

B.

Origin and Growth of the Swaps Market.......... 19
1. Origin of the Market...................... 19
2. Growth of the Interest Rate Swaps Market.. 20

C.

Interest Rate Swaps............................ 21
1. Terms of an Interest Rate Swap Agreement.. 21
2. Notional Principal Amount and Related
Terms..................................... 21
3. Different Types of Interest Rates......... 23
4. Use of LIBOR as a Floating Interest Rate
Index..................................... 23
5. Plain Vanilla Interest Rate Swaps......... 25
6. Lack of Payments at Inception............. 27
7. Example of an Interest Rate Swap.......... 27

D.

Currency Swaps................................. 28

E.

Participants in the Market..................... 29
1. End Users................................. 29
a. Typical End Users.................... 29
b. End Users’ Uses of Interest Rate
Swaps................................ 30
i.
Combat Interest Rate Changes.. 30
ii.
Prosper From Market Forecast.. 31
iii. Reduce Cost of Funding........ 32
2. Dealers................................... 32
a. Typical Dealers...................... 32
b. Practice as to Swaps................. 33
c. Price Quotations..................... 33
d. Role in the Market................... 34
e. Need for Strong Credit .............. 35
3. Brokers................................... 35

F.

Market for Swaps............................... 36
1. Types of Markets.......................... 36
a. Primary Market....................... 36
b. Secondary Market..................... 36
2. Brokers’ Dissemination of the Dealers’
Quotations................................ 37
a. Daily Quotations..................... 37
b. No Dissemination of Actual
Swap Prices.......................... 39
c. Spreads Included in Quotations....... 39
3. Midmarket Rate............................ 42
4. Midmarket Swap Curve...................... 43

-55.
6.

III.

ISDA Form Agreements...................... 44
Assignments and Buyouts of Swaps.......... 47

G.

Risks Assumed by Dealers....................... 48
1. Types of Risks............................ 48
2. Techniques Used To Minimize Credit Risk... 48
3. Techniques Used To Minimize Market Risk... 49

H.

Dealer Spreads................................. 50
1. Bid-Ask Spread............................ 50
2. Bid-to-Mid Spread......................... 50
3. Example................................... 50
4. Significance of Spreads................... 51
5. Decline in Interdealer Spreads............ 52

Valuing Swaps.................................... 52
A.

Relevant Valuation Standards................... 52
1. Fair Market Value......................... 53
2. Market Value.............................. 53
3. Fair Value................................ 53

B.

Mark-to-Market Accounting...................... 54

C.

Devon System and the Devon (Midmarket) Value... 54
1. Devon System.............................. 54
2. Devon (Midmarket) Value................... 55
3. Yield Curve............................... 56
a. Overview............................. 56
b. Constructing the Curve............... 57
c. Imprecise Measure.................... 58

D.

Market Value................................... 58
1. Net Present Value–-Forward Rate Pricing... 58
a. Expected Cashflows................... 59
b. Discounting Expected Cashflows....... 59
2. Floating-Rate Note Method................. 60
3. Value at Origination...................... 61
4. Change in Market Value.................... 62

E.

Primary Financial Reporting Methods............ 63
1. Overview.................................. 63
2. Amortized Cost............................ 63
3. Current Market Value...................... 64
4. Lower of Cost or Market................... 64

F.

Relevant Standards of the FASB................. 65
1. The FASB and GAAP......................... 65

-62.
3.
4.
5.

IV.

Initial Role of Market Values in GAAP..... 65
SFACs..................................... 66
Change in Accounting Treatment............ 67
SFASs..................................... 68
a. SFAS No. 105......................... 69
b. SFAS No. 107......................... 69
c. SFAS No. 119......................... 70
d. SFAS No. 133......................... 71

G.

Methods of Valuing Swaps....................... 71
1. Bid-Ask Method............................ 71
2. Midmarket Method.......................... 72
3. Adjusted Midmarket Method................. 72

H.

Nontax Purposes for Which Dealers Value Swaps.. 73
1. Overview.................................. 73
2. Regulatory Reporting...................... 73
3. Risk Management........................... 75
4. Management Reporting...................... 75
5. Financial Reporting and Pricing........... 76

I.

The G-30....................................... 76
1. Overview.................................. 76
2. G-30’s Review of Industry Practices....... 77
3. G-30 Report............................... 78
4. BC-277.................................... 79

Adjustments to Midmarket Value................... 81
A.

Overview....................................... 81

B.

Administrative Costs Adjustment................ 82
1. Overview.................................. 82
2. Dealers’ Practice......................... 82
3. Use of the Dealer’s Own Costs............. 83

C.

Adjustment for Counterparty Credit Risk........ 83
1. Overview.................................. 83
2. Common Method of Calculating Adjustment... 84
a. Counterparty Credit Rating........... 84
b. Expected Loss Factor................. 85
c. Loan Equivalency..................... 85
i.
Overview...................... 85
ii.
Types of Credit Exposure...... 85
A. Current Credit Exposure.... 86
B. Potential Credit Exposure.. 86
C. Expected Exposure.......... 87

-7-

3.
D.

iii. OCC’s Position................ 87
iv. Methods Used To Calculate...... 87
Market Data for Pricing Credit Risk of
Bonds..................................... 88

Other Adjustments.............................. 89
1. Investing and Funding Costs............... 89
2. Closeout Costs (Liquidity)................ 90
3. Dealer Margin............................. 90

V.

Los Alamos Project............................... 91

VI.

FNBC’s Swaps Business............................ 93
A.

Overview....................................... 93

B.

Trading Desks.................................. 94

C.

Swaps Operations Personnel..................... 95
1. Overview.................................. 95
2. Traders................................... 96
a. Function............................. 96
b. Number Employed in Chicago........... 97
c. Practice as to Quotations............ 97
d. Risk Management Responsibility....... 98
3. Marketers................................. 99
a. Function............................. 99
b. Practice as to Quotations............100
4. Relationship Managers.....................100
5. Credit Officers...........................101

D.

Weak Credit Rating.............................101

E.

Quoting a Price................................102

F.

Buyouts........................................103

G.

Swaps Outstanding at Yearend...................104

H.

Swaps in Issue.................................104

VII.

FNBC’s Financial Accounting Practice.............106

VIII.

FNBC’s Practice as to Its Valuation of Its Swaps.106
A.

Financial Reporting Position...................106

B.

Uses of Valuation..............................107

-8C.
IX.

X.

XI.

RAP/GAAP.......................................108

FNBC’s Calculation of Midmarket Value............108
A.

FNBC’s Devon System............................108
1. Overview..................................108
2. Role of FNBC’s Devon System...............109

B.

Accounting for Devon Value.....................109

C.

Early Closing Date.............................111

FNBC’s Administrative Costs Adjustment...........112
A.

Overview.......................................112

B.

Calculation of the Adjustment..................114

C.

Preparation for the Adjustment.................116

D.

Expenses Included in the Adjustment............118
1. Direct and Indirect Budgeted Costs........118
2. Amounts From Other Areas of FNBC..........119

FNBC’s Credit Adjustment.........................120
A.

Overview.......................................120
1. Initial and Subsequent Methods............120
2. First Method..............................121
3. Second Method.............................121
a. Methodology..........................121
b. Effect of Methodology................123

B.

Swaps in Issue for 1993........................124
1. Identification of Swaps...................124
2. Duration of Swaps.........................124
3. Credit Adjustments Claimed................125

C.

Components of the Second Method................127
1. CEM Amount................................127
a. Overview.............................127
b. Hsieh Model..........................128
c. FNBC’s VEP System....................129
i.
Evolution of the System.......129
ii.
Effect of the System..........130
iii. System’s Operation............131
2. Credit Risk Ratings.......................133
a. System of Risk Classification........133

-9-

3.

XII.

b. Credit Procedures....................134
c. Review of Risk Classifications ......136
CRESCO Loss Reserve Factors...............137
a. Loss Reserves........................137
b. CRESCO...............................137
c. Accuracy of CRESCO Loss Factors......138
d. Same Factors Applied to Loans an
Swaps................................139
e. FNBC’s Credit and Tenor Enhancements.139

D.

Static Instead of Dynamic Procedure............141

E.

Netting........................................142
1. Types of Netting..........................142
a. Closeout Netting.....................142
b. Single Transaction Netting...........143
c. Multiple Transaction Netting.........143
2. Netting in the Industry...................143
3. Status of Netting Arrangements............144
4. Practicability of Accounting for Netting..146
5. Impact of the Failure To Account for
Netting...................................146
6. FNBC’s Use of Netting Provisions..........147

FNBC’s Adjustments Were Designed To Defer Income.147
A.

Overview.......................................147

B.

FNBC’s Policy Statements.......................147

XIII.

FNBC Had No Schedule M Adjustments...............148

XIV.

Nature and Amount of the Proposed Disallowances..148

XV.

Petitioner’s Facts Set Forth in Its Petition.....149

XVI.

Pretrial Order of August 14, 2000................151

XVII.

Expert Testimony.................................152
A.

Identity and Qualifications....................152
1. Experts Retained by Petitioner............152
2. Experts Retained by Respondent............153
3. Experts Appointed by the Court............155

B.

Procedure Used by the Court To Appoint Our
Experts........................................156

-10OPINION......................................................159
I.

Overview.........................................159

II.

Does Section 475 Involve a Method of Accounting?.162
A.

Overview.......................................162

B.

Identification of a Method of Accounting.......164

III.

Burden of Proof..................................169

IV.

Tax Accounting for Methods of Accounting.........172

V.

FNBC’s Mark-to-Market Book Method................179

VI.

VII.

A.

Mark-to-Market Method Acceptable for Section
475............................................179
1. Acceptable in Theory......................180
2. Acceptable In Practice....................183
a. Market Valuation of Inventories......183
b. Comprehensive Mark-to-Market
Accounting...........................184

B.

Standard of the Mark-to-Market Method Is Not
Reasonableness.................................189

Application of Fair Market Value.................198
A.

Overview.......................................198

B.

History of the Term “Fair Market Value”........200

C.

Determination of Fair Market Value.............204
1. Market Approach...........................205
2. Income Approach...........................205
3. Asset-Based Approach......................206

D.

Fair Market Value Compared With Fair Value.....206
1. Meaning of the Term “Fair Value”..........206
a. GAAP Purposes........................206
b. State Law Purposes...................206
2. Difference Between Fair Market Value and
Fair Value................................207
3. Conclusion................................211

Property To Be Valued............................211

-11VIII.

Applicable Valuation Date........................214

IX.

Proper Hypothetical Market.......................215

X.

FNBC Implemented Its Mark-to-Market Method
Inconsistently With Section 475..................219
A.

Overview.......................................219

B.

Midmarket Values...............................220

C.

Adjustments in General.........................221

D.

Credit Adjustment..............................223
1. Need for a Credit Adjustment..............223
2. One-Month Lag in Reporting Swaps..........226
3. Credit Ratings of Both Counterparties.....227
4. Midmarket Values Reflected AA
Counterparties............................230
5. Credit Enhancements.......................231
6. Netting...................................232
7. Static or Dynamic Procedure...............233
8. Confidence Levels.........................235
9. Mirror and Partially Offsetting Swaps.....236
10. Per-Swap Adjustments......................236

E.

Administrative Costs...........................237
1. Overview..................................237
2. Incremental Costs.........................238
3. Use of Own Costs..........................239

F.

Other..........................................239

XI.

Respondent’s Method of Accounting................240

XII.

Conclusion.......................................242

XIII.

Postscript–-Weight Given to Expert Testimony.....244
A.

Role of the Experts............................244

B.

Court’s Impression of the Experts..............246

Appendix A...................................................249
Appendix B...................................................254

-12LARO, Judge:

These cases were consolidated for purposes of

trial, briefing, and opinion.

In docket No. 5759-95, First

Chicago Corp. (FCC) and its affiliated corporations, one of which
was a corporation formerly known as the First National Bank of
Chicago (FNBC), petitioned the Court to redetermine respondent’s
determination of deficiencies of $1,661,112 and $2,956,794 in the
affiliated group’s consolidated Federal income taxes for 1990 and
1991, respectively.

In docket No. 5956-97, First Chicago NBD

Corp., the successor in interest to FCC and affiliated
corporations, petitioned the Court to redetermine respondent’s
determination of a $95,156,499 deficiency in the 1993
consolidated Federal income tax of FCC and its affiliated
corporations.

The latter petition placed in issue a nonnotice

year, 1992, by alleging entitlement for that year to adjustments
which would affect the notice year 1993.
As relevant herein, the deficiencies stem from FNBC’s claim
to “swap fee carve-outs” of $5,468,418 for 1990, $3,543,182 for
1991, $4,294,471 for 1992, and $5,799,724 for 1993.1

As to swaps

(defined infra p. 17) for which it was a party, FNBC valued these
swaps at the mid-market values which it computed on its version
of a computerized system known as the Devon Derivatives System
(Devon system) (as discussed infra, FNBC’s midmarket valuation

1

Whereas the parties sometimes use the term “adjustment” to
refer to the carveouts discussed herein, so do we.

-13using the Devon system was based on the midpoint between a swap’s
market bid and ask rates, or, in other words, the average of
those rates).

FNBC’s swap fee carveout as to each of those swaps

represented the difference, determined at or about the time of
each swap’s initiation, between the swap’s midmarket value and
the bid or ask price which it paid or received for the swap.
FNBC treated the carved-out amounts as deferred income designed
to compensate it for (1) the perceived credit risks of its
counterparties (credit adjustments) and (2) the estimated
administrative costs which it expected to incur in holding and
managing the swaps until maturity (administrative costs
adjustments).

Respondent determined that the method by which

FNBC claimed the carveouts was improper in that the method did
not clearly reflect FNBC’s swaps income in accordance with
section 4462 and section 1.446-3, Income Tax Regs.

Respondent

determined that FNBC was required to report its swaps income by
using a method that reported each swap’s midmarket value without
any adjustment.
We hold that neither FNBC’s method of accounting as to its
swaps income nor respondent’s method of accounting as to that
income clearly reflected FNBC’s swaps income.

We direct the

parties to file with the Court a computation (or computations)

2

Unless otherwise indicated, section references are to the
applicable versions of the Internal Revenue Code, and Rule
references are to the Tax Court Rules of Practice and Procedure.

-14under Rule 155 that reflects (or reflect) FNBC’s swaps income in
a manner consistent with this Opinion.
FINDINGS OF FACT
I.

Background
A.

Stipulations of Fact

Many facts were stipulated.

We incorporate herein by this

reference the parties’ stipulations of fact and the exhibits
submitted therewith.
B.

We find the stipulated facts accordingly.

Briefs on CD-ROM With Appropriate Hyperlinks

The trial of these cases began on October 30, 2000, and
(with recesses) concluded on November 28, 2001.

The record,

which includes a trial transcript of approximately 3,500 pages
memorializing the testimony of 21 fact witnesses and 7 expert
witnesses, consists of 43 “red” files and more than 10,000 pages
of exhibits.

For briefing purposes, the Court ordered the

parties to file written briefs conforming to Rule 151 with copies
on CD-ROM that included Hyperlinks to the relevant part or parts
of the exhibits, testimony, pleadings, or stipulations relied
upon for each proposed finding of fact.

The written briefs,

inclusive of their proposed findings of fact and objections to
the other party’s proposed findings of fact, totaled more than
3,300 pages.

The copies of the briefs on CD-ROM were very

helpful to the Court.

-15C.

Relevant Taxpayers
1.

FCC

FCC was a Delaware corporation and registered bank holding
company.

By virtue of its status as a bank holding company, FCC

was regulated during the relevant years by the U.S. Federal
Reserve Board (FRB).

At all relevant times, including at the

time of the filing of its petition to this Court, FCC’s principal
place of business was in Chicago, Illinois.
For Federal income tax purposes, FCC was an accrual method
taxpayer that joined with its affiliates in the filing of
consolidated Federal income tax returns.

FCC filed those returns

timely and on the basis of the calendar year.
2.

First Chicago NBD Corp.

First Chicago NBD Corp. was a Delaware corporation and
registered bank holding company.

First Chicago NBD Corp. was the

corporation resulting from the merger, effective December 1,
1995, of FCC with and into NBD Bancorp, Inc., a Delaware
corporation and registered bank holding company.

At all relevant

times, including at the time of the filing of its petition to
this Court, the principal place of business of First Chicago NBD
Corp. was in Chicago, Illinois.
3.

FNBC

FNBC was a national bank organized and existing as a
national banking association under the National Bank Act, current

-16version at 12 U.S.C. secs. 21-216 (2000).

By virtue of its

status as a national bank, FNBC was regulated by the Office of
the Comptroller of the Currency (OCC).
During the relevant years, FNBC was FCC’s primary
subsidiary.

For Federal income tax purposes, FNBC was an accrual

method taxpayer, and it joined in the consolidated Federal income
tax returns filed by FCC.
4.

Bank One Corp.

Bank One Corp. is a multibank holding company registered
under the Bank Holding Company Act of 1956, ch. 240, 70 Stat.
133, currently codified at 12 U.S.C. secs. 1841-1850 (2000).

It

was incorporated in Delaware on April 9, 1998, to effect the
merger of First Chicago NBD Corp. and Banc One Corp., an Ohio
corporation and registered bank holding company.
effective October 2, 1998.3

The merger was

By virtue of its status as a bank

holding company, Bank One Corp. was regulated during the relevant
years by the FRB.

Bank One Corp.’s principal office was in

Chicago, Illinois, at all relevant times.

3

Shortly thereafter, the Court, pursuant to an unopposed
motion by petitioner, ordered that the caption be changed to the
present caption.

-17II.

The Swaps Business
A.

Swaps in General
1.

Definition of a Swap

A swap is a bilateral agreement obligating the parties
(often referred to as counterparties) to exchange at specified
intervals (e.g., monthly, quarterly, semiannually) cashflows
ascertained from applying specified financial prices (e.g.,
interest rates, currency rates) to a specified underlying amount.
The specified underlying amount is either a notional principal
amount which is not exchanged (as usually occurs when the subject
matter of the swap is interest rates) or an amount which may
actually be exchanged (as usually occurs when the subject matter
of the swap is currency rates).

The exchange of cashflows at the

periodic intervals is sometimes referred to as “periodic
payments” and is usually done on a net settlement basis.

Each

party to a swap bears the risk that its counterparty will default
on its obligation to make a periodic payment, and, thus, that it
(the party) will not receive a periodic payment owed to it by the
counterparty.
2.

Swaps Are Derivative Financial Products

Swaps are derivative financial products (financial
derivatives).

A financial derivative is a bilateral agreement

the value of which is derived (as implied by its name) from the
performance of an underlying asset, reference rate, or index.

-18Other common forms of financial derivatives during the
relevant years included:

(1) Interest rate guarantees such as

caps, floors, and collars; (2) interest rate options;
(3) swaptions; and (4) forward rate agreements (FRAs).4

Interest

rate caps, floors, and collars are contracts with notional
principal amounts but not necessarily with periodic payments.
Interest rate caps and floors require the seller, in exchange for
a fee, to make a payment to the purchaser only if, in the case of
a cap, a specified market interest rate exceeds the fixed cap
rate on specified future dates or, in the case of a floor, the
specified market interest rate falls below the fixed floor rate
on specified future dates.5

Interest rate options are contracts

that grant one party, for a premium payment, the right to either
purchase from or sell to the other party a financial instrument
at a specified price within a specified period of time or on a
specified date.
future.

Swaptions are options to purchase a swap in the

FRAs are contracts with notional principal amounts that

settle in cash at a specified future date on the basis of the
difference between a fixed interest rate and a specified market

4

During the relevant years, FNBC was a party to swaps as
well as to one or more of these financial derivatives.
5

An interest rate collar is essentially an interest rate
cap combined with an interest rate floor.

-19interest rate.6

FRAs are different from swaps in that FRAs lack

periodic payments.
3.

Types of Swaps in the Marketplace

Swaps in the marketplace during the relevant years consisted
primarily of interest rate swaps (sometimes, IRSWs), currency
swaps (sometimes, CYSWs), and commodity swaps (sometimes, COMs).7
An interest rate swap, the primary swap at issue, is a bilateral
agreement calling for the periodic exchange of interest payments
ascertained by applying specified interest rates to an agreedupon notional principal amount.

A currency swap is a bilateral

agreement to exchange payments denominated in different
currencies.

A commodity swap is a bilateral agreement to

exchange cashflows ascertained by applying commodity prices to a
notional quantity of a particular commodity.
B.

Origin and Growth of the Swaps Market
1.

Origin of the Market

The origin of the swaps market is generally traced to a
currency swap negotiated between the World Bank and IBM in 1981.

6

A forward rate is a rate that the parties to a forward
contract agree will be applied at a future date. Assume, for
example, that a person agrees to borrow money 1 year from today
and repay it with 6-percent interest at the end of the second
year. The 6-percent interest rate is a forward rate, and the
contract is a forward contract.
7

During the relevant years, FNBC was a party to each type
of these swaps. The specific swaps in dispute are FNBC’s
interest rate swaps, currency swaps, and commodity swaps.

-20That transaction involved an exchange of payments in Swiss francs
for payments in deutschmarks.

The first interest rate swap was

negotiated with the Student Loan Marketing Association in 1982.
The first commodity swap occurred in 1986.
2.

Growth of the Interest Rate Swaps Market

Interest rate swaps were the most common swaps during the
relevant years.

In 1992, dealers generally participated in four

to five interest rate swaps daily and one currency swap every 2
days.

The corresponding figures for 1987 were three interest

rate swaps every 2 days and one currency swap every 4 days.

A

dealer’s use of commodity swaps during 1987 and 1992 also was
less common than the dealer’s use of interest rate swaps during
the same years.
The outstanding notional amount of interest rate swaps
worldwide totaled approximately $683 billion, $12.8 trillion, and
$43 trillion at the end of 1987, 1995, and 1999, respectively.8
The growth of the outstanding notional amount of interest rate
swaps is attributable primarily to the use of interest rate swaps
as an effective, inexpensive way in which to manage financial
risks from interest rate fluctuations.

Those who use financial

derivatives in general can identify, isolate, and manage
separately the fundamental risks and other characteristics which

8

The outstanding notional principal of currency swaps at
the end of 1999 is estimated at approximately $2 trillion.

-21are bound together in traditional financial instruments.

In

addition to increasing the range of financial products available,
financial derivatives have fostered more precise ways of
understanding, quantifying, and managing financial risk.

Most

institutional borrowers and investors currently use financial
derivatives.

Many of these entities also act as intermediaries

dealing in those financial products.
C.

Interest Rate Swaps
1.

Terms of an Interest Rate Swap Agreement

Interest rate swaps generally require that the parties
thereto negotiate and agree upon several economic terms.

These

terms generally include (1) a notional amount, (2) a fixed
interest rate, (3) a floating interest rate index, (4) a duration
(term or tenor) of the contract, (5) an effective date of the
contract, and (6) a payment schedule.

The parties to an interest

rate swap also must negotiate a particular country’s currency (or
countries’ currencies) in which a swap is denominated.

During

the relevant years, the U.S. dollar was overwhelmingly the
dominant individual currency for interest rate swaps.
2.

Notional Principal Amount and Related Terms

The notional principal amount of an interest rate swap is
not actually exchanged but is simply the reference point for the

-22parties’ obligations.9

The parties to an interest rate swap

agree to exchange for a set length of time (term or tenor) and as
of specified intervals (payment schedule) streams of interest
payments ascertained on the basis of a notional principal amount.
At least one of these streams of payments is ascertained on the
basis of a floating-rate index.

The respective streams of

payments are often referred to as “legs”; e.g., a fixed leg and a
floating leg.
The party that is paying the fixed rate (i.e., receiving the
floating rate) is said to have bought the swap.10

The party

receiving the fixed rate (i.e., paying the floating rate) is said
to have sold the swap.

The party that is receiving the fixed

rate also is said to be “short” the swap, while the party paying
the fixed rate is said to be “long” the swap.11
The trade date is the date on which the swap transaction is
agreed.

The effective date is the date on which the interest

included in the payments begins to accrue.

Once interest has

begun to accrue, it continues to accrue until the day before the

9

Nor is the notional amount shown on either party’s balance

sheet.
10

The negotiated fixed rate is sometimes called the price
of the swap.
11

Assume, for example, that C agrees to pay to B a fixed
interest rate in return for B’s agreeing to pay to C an interest
rate that floats in accordance with a certain floating interest
rate index. C is the buyer of the swap (and is long on the
swap). B is the seller of the swap (and is short on the swap).

-23termination date.

The termination date is the date on which the

last payment is due.

The termination date sets the maturity of

the contract.
3.

Different Types of Interest Rates

Swaps generally involve two types of interest rates.

The

first rate, a fixed interest rate, is applied for each payment
date to ascertain the agreed-upon payment in the fixed leg.

By

definition, the fixed interest rate is fixed in that it is
constant.

The second rate, a floating interest rate, is applied

for each payment to ascertain the agreed-upon payment in the
floating leg.

By definition, the floating interest rate floats

in accordance with an agreed-upon index and usually changes with
time.
The date on which the floating interest rate is changed
(i.e., is “reset”) is known as the reset date.

Except in the

case of the first payment, the floating interest rate applicable
to each payment period is generally set at the beginning of the
interval, on the basis of the interest rate in effect 2 business
days before the most recent reset date.

The floating interest

rate applicable to the first payment is generally set on the
trade date, 2 days before the effective date.
4.

Use of LIBOR as a Floating Interest Rate Index

The most common floating interest rate index for interest
rate swaps is the London Interbank Offering Rate (LIBOR), the

-24rate of interest at which banks are willing to offer deposits
(i.e., lend Eurodollars) to other prime banks, in marketable
size, in the London Interbank market.

In order to determine the

LIBOR rates, the British Bankers’ Association maintains a
reference panel of banks with London offices.

Each of these

banks ascertains the rate at which it could borrow funds, were it
to do so by asking for and then accepting interbank offers in
reasonable market size just before 11 a.m. that day.

The

deposits have a zero-coupon structure, meaning that no interest
is paid during the life of the deposits but is accrued and paid
at maturity.12

Each LIBOR rate is computed by disregarding the

four highest and the four lowest rates offered by these banks and
then taking the average of the others.
The LIBOR rates, when determined, are instantly communicated
around the world by electronic (on-line) services such as the
Associated Press/Dow Jones Telerate Service, Bloomberg, or
Reuters Monitor Money Rates Service.

Separate LIBOR rates are

available and quoted for each standard term (e.g., 1-month, 3month, 6-month, 12-month), and the parties to a swap may agree on
any of these LIBOR rates.

In most cases, the floating-rate payor

pays no increment or decrement (spread) with respect to the LIBOR
rate, and the rate is said to be quoted flat.

12

A zero rate means that interest, if paid, is paid only at
maturity.

-25In lieu of a LIBOR rate, the parties to an interest rate
swap may agree to use a less common floating interest rate index.
Other common floating interest rate indices during the relevant
years included the T-bill rate (the rate on the most recent issue
of U.S. Treasury bills), the commercial paper rate, the bankers
acceptance rate, the prime rate, and the tax-exempt rate.
5.

Plain Vanilla Interest Rate Swaps

Interest rate swaps may be of the plain vanilla type.

A

plain vanilla interest rate swap, the simplest and most common
type of interest rate swap, is a swap with standard terms and
without another financial derivative as part of the agreement.
One party to a plain vanilla interest rate swap (first party)
agrees to pay to the other party (second party) amounts equal to
a fixed rate of interest multiplied by a set notional amount.
The second party agrees to pay to the first party amounts equal
to a floating rate of interest multiplied by the same notional
amount.

The fixed and floating amounts are offset against each

other as of each payment date, and the party paying the higher
rate of interest remits a payment to the counterparty equal to
the notional amount multiplied by the difference between the
interest rates.

An analogy of a plain vanilla interest rate swap

is the exchange of a fixed-rate loan for a floating-rate loan.
The schedule of payments on a plain vanilla interest rate swap

-26exactly matches the schedule of net payments on an exchange of
the fixed- and floating-rate loans.
In contrast to a plain vanilla interest rate swap, a more
creative interest rate swap may have nonstandard terms.13

A

combination deal (sometimes, COMB) has embedded option features
such as a callable or extendable swap or a contract giving one of
the parties the option, but not the obligation, to enter into an
interest rate or currency swap at prearranged terms.

An

amortizing or accreting swap has a notional amount that decreases
or increases, respectively, during the life of the transaction.14
A basis swap has two floating legs, instead of a fixed leg and a
floating leg, with each party agreeing to exchange payments
determined by a different floating-rate index (e.g., one party
floats with LIBOR while the other party floats with the
commercial paper rate).

In some swaps, the payment dates for the

counterparties do not coincide, whereas in other swaps the
counterparties’ payments are in different currencies.

There also

are swaps with different fixed rates during different periods.

13

The expression “structured swap” is used to capture any
swap with specially tailored features. Relatively new and
unfamiliar types of swaps are called “exotics”.
14

An amortizing swap mimics the fixed and floating interest
rate schedules on regular amortizing loans.

-276.

Lack of Payments at Inception

For most interest rate swaps during the relevant years,
neither counterparty made a payment at the inception of the swap
to effect the transaction.

The entire consideration for a

party’s promise to make future payments to the counterparty lay
in the counterparty’s promise to make its agreed-upon future
payments.

An initial payment was not generally required to

induce the counterparties to enter into the swap agreement.
One exception to the nonpayment rule was off-market swaps
which required upfront payments.

In an off-market swap, a

counterparty agreed to receive or pay an interest rate that was
significantly different than the going market rate.
7.

Example of an Interest Rate Swap

To illustrate the mechanics of an interest rate swap, assume
that a plain vanilla interest rate swap originated on
November 29, 1992, the trade date, with the following terms:
Notional principal
Fixed rate
Floating rate
Effective date
Termination date
Payment dates
Fixed-rate payor
Floating-rate payor
Day count conventions
1

$1 million
5 percent per annum
6-month LIBOR rate
Dec. 1, 1992
Dec. 1, 1995
June 1 and Dec. 1 of each year
F
L
Actual/3601

The computations as to swaps are generally based
on a 360-day year, a convention that is common in
banking.

-28The table below shows the payments on the swap for a hypothetical
scenario of the 6-month LIBOR rate over the life of the swap.

In

this example, F has promised to pay to L a semiannual interest
payment calculated on the basis of a notional principal of $1
million and a fixed 5-percent interest rate as adjusted by a
ratio the numerator of which equals the number of days in the
payment period and the denominator of which equals 360.

L has

promised to pay to F a semiannual interest payment calculated on
the basis of the same $1 million amount but using, instead of the
fixed rate, a floating 6-month LIBOR rate as adjusted by the same
ratio.

The sixth column, the net of the fixed and floating

payments, is the only amount that is actually paid by one party
or the other.
Payment
Dates
6/1/1993
12/1/1993
6/1/1994
12/1/1994
6/1/1995
12/1/1995

D.

Number of
Days in
Fixed
Period
Payment
182
183
182
183
182
183

Hypothetical
6-Month LIBOR Rate

Floating
Payment

Net Cashflow
To L (To F)

4.0%
4.320
5.130
5.901
6.210
6.842

$20,222
21,960
25,935
29,997
31,395
34,780

($5,056)
(3,457)
657
4,580
6,117
9,363

$25,278
25,417
25,278
25,417
25,278
25,417

Currency Swaps

A plain vanilla currency swap involves the exchange of a
series of fixed-rate interest payments denominated in a foreign
currency for a series of floating-rate interest payments
denominated in U.S. dollars.

Other currency swaps include

exchanging a fixed rate in a foreign currency for a fixed rate in
U.S. dollars, exchanging a fixed rate in U.S. dollars for a

-29floating rate in a foreign currency, or exchanging a floating
rate in a foreign currency for a floating rate in U.S. dollars.
E.

Participants in the Market

The main participants in the interest rate swaps market are
end users, dealers, and brokers.
1.

End Users
a.

Typical End Users

End users are typically major corporations, government or
governmental-related entities, investment funds, or other
financial institutions.

These end-users typically use interest

rate swaps to combat interest rate movements, express market
preferences through position taking, and/or reduce their cost of
funding.

As to the size of an end user, swaps end-user entities

entering into swaps in connection with the conduct of their
business must have assets over $10 million or a net worth over $1
million in order to qualify their swaps for a safe-harbor
exception from most of the regulatory requirements of the
Commodity Futures Trading Commission (CFTC).15

15

A swap must also meet three other requirements in order
to qualify for such an exception. First, the swap may not be
part of a fungible class of agreements which are standardized as
to their material economic terms. Second, the creditworthiness
of any party having an actual or potential obligation under the
swap agreement must be a material consideration in entering into
or determining the terms of the swap agreement. Third, the swap
agreement may not be entered into or traded on a physical or
electronic transaction execution facility in which participants
can simultaneously effect transactions and bind both parties.

-30b.

End Users’ Uses of Interest Rate Swaps
i.

Combat Interest Rate Changes

End users commonly use interest rate swaps to hedge
(minimize) their risk of adverse changes in interest rates.
Interest rate risk is the potential fluctuation in the value of a
financial instrument due to a change in the level of interest
rates.

Whereas the market values of fixed-rate loans are exposed

to significant interest rate risk, the market values of
floating-rate loans are not.

A fall (or rise) in interest rates

causes the market value of a fixed-rate loan to increase (or
decrease).

The fall (or rise) in interest rates leaves the

market value of a floating-rate loan unchanged; the interest
payments on the floating-rate loan fall (or rise) together with
interest rates.
Managing interest rate risk is an important function of
financial managers in entities such as corporations and financial
institutions, and an interest rate swap is a tool with which
financial managers may readily change their exposure to interest
rate fluctuations.

Through a swap, an institution may change the

nature of its liabilities from fixed-rate liabilities to
floating-rate liabilities, or vice versa.

A company liable on

debt paying a floating interest rate, for example, may guard
against a rise in interest rates by entering into a swap under
which it pays a fixed rate of interest and receives a floating

-31rate.

The swap transfers to the counterparty the risk of a rise

in interest rates.16

Likewise, a financial manager may need to

increase or decrease the interest rate exposure of an entity’s
liabilities.

The financial manager of a corporation, for

example, that has assets which are positively exposed to interest
rate risk (i.e., the value of the assets increases with interest
rates) may seek to match this exposure with liabilities that are
positively exposed to interest rate risk so as to create zero
exposure in the corporation’s net position.
ii.

Prosper From Market Forecast

End users also use interest rate swaps to attempt to prosper
from their forecast of the movement in interest rates.

For

example, a company that believes that interest rates will fall
may enter into an agreement under which it pays a floating
interest rate.

In 1992 and 1993, for example, when interest

rates were at extremely low levels, many companies elected to
issue long-term debt at fixed rates and then enter into
shorter-term swap agreements under which the company paid a
floating rate.

The company, in effect, converted the early years

of its financing from a fixed rate to a floating rate.

16

An entity that borrows at a floating rate and then buys a
fixed-for-floating swap of matching maturity and notional
principal is said to have synthetically created a fixed-rate
loan; i.e., the net of the payments on the floating-rate loan and
the swap mirror the payments on a fixed-rate loan.

-32iii.

Reduce Cost of Funding

End users also use interest rate swaps to reduce the
transaction costs which are a natural consequence of raising
funds.

If, for example, a corporation wants to borrow at a fixed

rate but has a shelf registration for commercial paper paying a
floating interest rate, the corporation may be able to minimize
its transaction costs by issuing commercial paper with a floating
rate and then swapping the commercial paper for an obligation
with a fixed rate.
2.

Dealers
a.

Typical Dealers

Since at least 1992, the swaps market has been almost
entirely intermediated by institutions acting as dealers.

Swaps

dealers are generally major financial institutions (e.g.,
securities firms and banks such as FNBC) which hold themselves
out as market-makers; i.e., entities ready and willing to take
either side of a swap transaction for the purpose of earning a
profit by originating new swaps.17

On some occasions, these

institutions enter into swaps in their capacity as swaps dealers.
On other occasions, these institutions enter into swaps in their
capacity as end users to manage the overall structure of their
portfolios to minimize the net exposure to interest rate

17

In performing this market-making function, dealers act
more as principals than as agents in transactions.

-33movements.

Swaps dealers trade with both end-users and other

dealers.
b.

Practice as to Swaps

Swaps dealers maintain a portfolio of swaps on their books
and usually attempt to maintain a neutral, hedged position in the
market.

Swaps dealers attempt to maintain a neutral, hedged

position either by:

(1) Serving as a counterparty to opposite

sides of two matching swaps or (2) managing the overall structure
of the portfolio so as to minimize the net exposure to interest
rate movements.
c.

Price Quotations

Prices in the interest rate swaps market are quoted in the
form of interest rates, and major swaps dealers (e.g., FNBC)
regularly quote the bid and ask prices at which they stand ready
to buy and sell plain vanilla interest rate swaps with standard
maturities of 1, 2, 3, 5, 7, and 10 years.

The bid price is the

fixed interest rate that the dealer is ready to pay in exchange
for a specified floating rate.

The ask price is the fixed

interest rate that the dealer demands to receive in exchange for
paying a specified floating rate.

The ask rate is greater than

the bid rate, and the dealer’s profit when taking the opposite
sides on two identical swaps is the difference between the fixed
rate it receives and the fixed rate it pays.

-34Among dealers, it is common to refer to the spread reflected
in the pricing of a swap, and the convention is to quote the
fixed rate on the assumption that the floating rate is LIBOR flat
(i.e., with no spread or premium attached to the floating rate).
A swap, however, may be negotiated with the floating payment tied
to an index plus or minus a spread; i.e., a margin.
d.

Role in the Market

When the swaps market first began, every swap generally was
facilitated by a dealer.

The dealer was not a party to the

transaction but, generally for a fee, arranged the swap by
introducing the counterparties to each other and helping them to
effect the mechanics of the transaction.

With the evolution of

the market, dealers became parties to each swap.

In the early

years of the market’s evolution, a dealer would effect a swap
transaction by warehousing the swap (i.e., entering into the swap
without having entered into a matching swap but with the
expectation of hedging the entered-into swap either through a
matching swap or a portfolio of swaps or temporarily in the cash,
securities, or futures market) until the dealer could arrange an
offsetting swap with another counterparty (i.e., match a book).
In the later years of the market’s evolution, the dealer would
simply accept a position opposite the counterparty without
expecting to locate another counterparty transaction to match the
first transaction.

-35e.

Need for Strong Credit

With the evolution of the interest rate swaps market,
intermediaries could during the relevant years do far more deals
if they were willing to offer themselves as counterparties.
Major commercial banks, as compared to investment banks, were
more highly capitalized and were more willing to assume the
credit risks inherent in acting as a counterparty.

The

importance of credit risk was a factor during the relevant years
in the dominance of commercial banks as dealers; e.g., 16 of the
world’s 20 largest swaps dealers in 1993 were commercial banks.
A dealer with a weak credit rating in the swaps market was hurt
in its ability to enter into swaps.
3.

Brokers

Swap brokers do not take a position or act as a principal in
a swap transaction, and they do not maintain any exposure with
respect to a swap.

Swap brokers simply arrange for dealers to

enter into interdealer swaps by matching dealers who want to
effect a particular swap with other dealers who want to effect a
similar swap.

The clientele of a swap broker is limited to

dealers; e.g., an end user may not use the services of a broker
unless the end user is a recognized dealer in the interbank
market.

A swap broker is paid a standard fee for its services

based on a percentage of the notional principal amount.

-36F.

Market for Swaps
1.

Types of Markets
a.

Primary Market

Interest rate swaps are transacted in the over-the-counter
(OTC) market.

That market is highly competitive and includes

many active dealers.

Throughout the relevant years, the primary

market for plain vanilla U.S. dollar interest rate swaps between
counterparties of relatively good credit quality was liquid and
as active, deep, and competitive as almost any other market.

The

fact that there was an active primary market in benchmark swaps
made it possible for potential counterparties to shop around
quickly for competitive terms for an interest rate swap and agree
on the swap’s value.

The appropriate range of terms for a large

interest rate swap between high-quality counterparties was at
least as transparent and easily determined at a moment’s notice
as was the appropriate price for a comparatively large position
in the most liquid equities traded on major U.S. stock exchanges.
b.

Secondary Market

No active secondary market exists for swaps, other than in
the case of buyouts (which occur by number of swap transactions
approximately 10 percent of the time in the interbank market) and
to a much lesser extent, assignments.

Because of contractual

-37restrictions,18 nonstandardized terms, the requirement of bearing
the credit risk of a specific counterparty, and the ability to
buy out a swap at the going market rate, a liquid secondary
market for the assignment of swaps has never developed.

When

swaps were sold before maturity, e.g., when a portfolio of swaps
was sold by one dealer to another, the terms were not publicly
available.
2.

Brokers’ Dissemination of the Dealers’ Quotations
a.

Daily Quotations

During the course of each business day, swap brokers would
contact a large number of swaps dealers (including FNBC) and
request their bid and ask quotes on several plain vanilla swaps.
These swaps were commonly quoted on the convention of semiannual
payments and on the basis of the 6-month LIBOR floating rate and
had standard maturities of 1, 2, 3, 5, 7, and 10 years.

These

quotations (as well as the midmarket swap curve (discussed infra
p. 43) assumed that the counterparty was a dealer with a credit

18

For example, a swap may be assigned only upon the consent
of both parties thereto.

-38rating of AA.19

No service reported regular and reliable quotes

on swaps negotiated with lower rated counterparties.
Upon receiving these quotations from the dealers, the
brokers disseminated publicly the best interdealer price
quotations by way of electronic broker quotation services such as
Bloomberg, Reuters Monitor Money Rates Service, or Associated
Press/Dow Jones Telerate Service.

These services, to which swaps

dealers had access on their “dealer screens”, normally made it
unnecessary for a dealer to shop around when the dealer wished to
enter into a swap transaction because the dealer knew that the
quoted rate was a competitive price.

If a dealer wanted to enter

into a specific swap, the dealer could contact a broker, and the
broker would call one or more dealers and confirm their quotes on
the specified swap.

The broker then reported back to the first

dealer (the one wanting to enter into the particular swap) on the
best quote that the broker had obtained.

If that dealer

ultimately entered into a swap agreement with another dealer
supplied by the broker, the broker received a fee for its
services based on a percentage of the notional amount.

19

Participants in the swaps market generally rated
counterparties using standard credit ratings obtained from
private credit rating agencies such as Moody’s and Standard &
Poor’s (S&P). Each agency had its own set of ratings. The
ratings offered by S&P for long-term debt were (from best to
worst) AAA, AA+, AA, AA-, A+, A, A-, BBB+, BBB, BBB-, BB+, BB,
BB-, B+, B, and B-. (For clarity, we refer only to the S&P
ratings.) In 1992, most swaps dealers had a credit rating of A
or better, and many of those dealers had ratings of AA or AAA.

-39b.

No Dissemination of Actual Swap Prices

The actual prices at which swaps closed during the relevant
years were not publicly disclosed.

The only publicly available

data on swap prices during those years was the quoted bid and ask
rates in the interdealer market as to plain vanilla swaps.

Those

quotations were normally the best indicator of the market price
at a particular moment.
c.

Spreads Included in Quotations

Swap bid and ask rates in U.S. dollar denominated swaps with
maturities exceeding 1 year were commonly quoted in terms of a
spread to the corresponding U.S. Treasury yield.

The table below

lists the U.S. Treasury yield, the bid spreads quoted in the
market, and the resulting bid rates as reported by Bloomberg for
December 31, 1992, for U.S. dollar denominated swaps with
maturities exceeding 1 year.
Maturity

U.S. Treasury Yield

Bid Spread

Swap Bid Rate

2-year
3-year
5-year
7-year
10-year

4.57%
5.06
6.00
6.37
6.69

.24
.37
.30
.33
.32

4.81%
5.43
6.30
6.70
7.01

Swap rates reported for U.S. dollar denominated swaps with
maturities of 1 year or less were usually taken directly from the
LIBOR deposit market.

The table below lists the LIBOR deposit

rates in the LIBOR deposit market as reported by Bloomberg for

-40December 31, 1992, for U.S. dollar denominated swaps with
maturities of 1 year or less.
Maturity

LIBOR Deposit Rate

1-day
1-month
3-month
6-month
9-month
1-year

3.125%
3.313
3.438
3.625
3.813
4.062

The LIBOR deposit rates for U.S. dollar denominated swaps
with maturities of 1 year or less were combined with the swap bid
rates for U.S. dollar denominated swaps with maturities exceeding
1 year to obtain a set of bid rates for short and long
maturities.

The complete set of bid rates for short and long

maturities was plotted out on a graph to form the swap bid curve.
Swap rates for nonstandard maturities were calculated by
interpolating between the rates on the nearby standard maturity
contracts.

The table below illustrates a combination of the swap

bid rates and the LIBOR deposit rates just discussed.
Maturity

Swap Bid Rate

LIBOR Deposit Rate

Swap Bid Curve

1-day
1-month
3-month
6-month
9-month
1-year
2-year
3-year
5-year
7-year
10-year

------------4.81%
5.43
6.30
6.70
7.01

3.125%
3.313
3.438
3.625
3.813
4.062
-----------

3.125%
3.313
3.438
3.625
3.813
4.062
4.810
5.430
6.300
6.700
7.010

-41The diagram below shows the swap bid curve drawn from these
swap bid and LIBOR deposit rates.

-423.

Midmarket Rate

The midpoint (average) of the bid and ask rates for a
specified maturity is known as that maturity’s midmarket rate.
The theoretical midmarket rate is the fixed interest rate for
which the present value of the cashflows from the fixed leg of a
swap equals the present value of the projected cashflows from the
swap’s floating leg.

In other words, if a swap was entered into

at the midmarket rate, then the present value of the fixed-leg
payments would equal the present value of the anticipated
floating-leg payments.

When any swap with a midmarket rate is

valued also using the same midmarket rate, then the swap has a
theoretical net present value of zero to both counterparties.
A plain vanilla swap with a fixed rate equal to the current
midmarket rate has by definition a market value of zero and is
called a “par swap”.

It is also said to be “at-market” as

opposed to “off-market”.

If the fixed interest rate is above the

current midmarket rate, the swap is said to be “above-market” and
has positive value to the party that sold the swap and is
receiving the fixed payments.

If the fixed interest rate is

below the current midmarket rate, the swap is said to be
“below-market” and has negative value to the party that is
receiving the fixed payments.

A swap is a zero-sum contract, so

if it has a positive market value to one counterparty, it has a
negative market value to the other counterparty.

-434.

Midmarket Swap Curve

The set of mid-market rates for various maturities is known
as the midmarket swap curve.

The midmarket swap curve is drawn

from the averages of the bid and ask prices for swaps of standard
maturities quoted in the interdealer market.

At-market swap

rates for all possible maturity dates can be obtained by
interpolation from the midpoints between the bid and ask prices
of the standard maturities as derived from the dealer quotes and
reported by major vendors of financial data.
The midmarket swap curve implies a curve of forward interest
rates and a curve of discount factors.20

One curve implies a

second curve if the values on the second curve can be derived
mathematically from the values on the first curve.

The second

curve is said to be implied by the first curve, and, in the case
of interest rates or discount factors, the interest rates or
discount factors on the second curve are said to be implied
interest rates or implied discount factors with respect to the
first curve.

Consider, for example, a curve of periodic interest

rates and a corresponding curve of effective annual yields.
of these curves is implied by the other.

Each

Each point on either

curve can be derived by a mathematical formula from the
corresponding point on the other curve.

20

This implied concept is

A discount factor states the value today of $1 to be
received on a future date.

-44different from interpolation.

Interpolation is a process by

which the gaps between separated points are estimated and filled
in to produce a complete curve.
The midmarket value of a swap is calculated using a
mathematical model that extracts the market’s forecasts for
future interest rates (implied forward interest rates) from the
current midmarket swap curve to determine the floating-rate
payments that will be due or payable under the swap agreement.21
The implied forward interest rates are used to project the
floating-rate payments into the future.

The implied discount

factors are used to discount the fixed-rate payments and the
projected floating-rate payments to their present value.
5.

ISDA Form Agreements

The International Swaps and Derivatives Association, Inc.
(ISDA), formerly known as the International Swaps Dealers
Association, Inc., is a trade body that comprises swaps dealers
and other participants in the OTC derivatives market.

The ISDA

prescribed customized ISDA form agreements for swap transactions,
and these form agreements were in widespread use during the
relevant years.

21

The ISDA form agreements generally provided a

As discussed infra p. 60, the midmarket value of a swap
also can be calculated as the difference between the value of two
specific bonds, both of which have a principal amount equal to
the notional amount of the swap. The first bond is a
floating-rate bond. The second bond is a fixed-rate bond paying
a fixed interest rate equal to the fixed interest rate of the
swap.

-45statement of the general conditions governing all swap contracts
between counterparties to the agreements.

Customized individual

payment terms could be negotiated by the parties to a particular
swap, and those terms would be memorialized in the form of a
confirmation letter.

During the relevant years, many dealers,

including FNBC, required that each of their swaps have a
confirmation.
The ISDA had two form agreements (collectively, ISDA form
agreements); namely, the 1987 ISDA interest rate swap agreement
and the 1992 ISDA master agreement (1992 ISDA form agreement).
The ISDA form agreements contained a number of standard terms but
also allowed the parties a great deal of flexibility in
structuring specific transactions.

The ISDA form agreements were

relied upon in the industry as uniform and accepted contracts
with easily understood terms.
Under the ISDA form agreements, a party thereto had the
unilateral right to terminate a swap agreement before maturity
only in the case of default.

The ISDA form agreements also

allowed a swap contract to be terminated before maturity in the
case of certain events generally not within the control of either
party; e.g., if a law was enacted that made it illegal for one or
both parties to the contract to perform under the contract.

A

swap could also be terminated if it contained a credit trigger
calling for early termination upon a credit downgrade or other

-46credit event.

The 1992 ISDA form agreement also provided that

the parties to a swap governed by that agreement could specify
any other event as a termination event in the schedule or
confirmation.22
The ISDA form agreements generally prohibited each party
thereto from selling or transferring its swap position to a third
party without the consent of the counterparty.

The swap

contract, however, could be transferred to another in the case of
an amalgamation, consolidation, merger, or transfer of assets.

A

nondefaulting party also could transfer any payment owed to it by
a defaulting party.

The ISDA form agreements also permitted one

counterparty to transfer its swap agreement to one of its
branches or to an affiliate in order to avoid a termination
event.

In that case, the other counterparty could not withhold

its consent to the transfer if its existing policies would permit
it to enter into transactions with the transferee on the terms
proposed.
The ISDA form agreements provided that where there was an
early termination due to the default of one party, the payment
would be ascertained by reference to quotations from leading

22

Notwithstanding the terms of a particular swap, a party
thereto could synthetically terminate any swap by entering into
an offsetting or mirror swap; i.e., a new swap with terms
identical to those in the remainder of an existing swap, but with
the payments reversed. The parties also could mutually agree to
terminate a swap with one party paying the other in a buyout.

-47dealers for the replacement costs of the relevant terminated
transactions.

Neither of the ISDA form agreements provided

specifically for the addition of a surcharge, or discount, for
administrative costs adjustments when computing the amount paid
on early termination due to the default of one party.
6.

Assignments and Buyouts of Swaps

A party to a swap agreement seldom assigned its interest in
the swap.

In the rare case of an assignment, a third party was

substituted for one of the two original counterparties.

The

third party usually made or received an upfront payment
approximately equal to the market value of the swap.

In these

cases, the market value of the swap generally equaled the
difference in the present value of the anticipated net cashflow
from each of the swap’s legs.
If a swap counterparty wanted to withdraw from a
transaction, it usually terminated the transaction through a
buyout.

In a buyout, one counterparty terminated the swap by

paying the other counterparty a lump-sum amount approximately
equal to the swap’s market value.

In these cases, the market

value of the swap generally equaled the difference in the present
value of the anticipated net cashflow from each of the swap’s
legs.
Buyouts of swaps were frequent during the relevant years,
and they occurred in the case of both interdealer and end-user

-48swaps.

The reasons for buyouts were generally that one of the

counterparties had a business need to terminate the transaction
or was in distress.

Swaps were bought out (and initially entered

into) on a swap-by-swap (rather than portfolio) basis.
G.

Risks Assumed by Dealers
1.

Types of Risks

Dealers entering into interest rate swaps assumed at least
two types of risk; namely, a credit risk and a market risk.
Credit risk was the risk of loss from the possibility that the
counterparty would not perform and would default on its payment
obligations.

Market risk was the risk that changes in the market

would affect the value of an instrument.

The most common form of

market risk was interest rate risk.
2.

Techniques Used To Minimize Credit Risk

During the relevant years, the practice of rationing credit
risk exposure to specific counterparties through credit
enhancements was widespread and was an important part of credit
risk management.

In addition to placing limitations on the tenor

and principal amount of a swap, swaps dealers such as FNBC
required counterparties with lower credit quality to post
collateral to support the counterparties’ obligations under the
contracts.

Dealers such as FNBC (and end users) also sometimes

inserted provisions in the underlying contracts requiring
maintenance of a specified debt-equity ratio, a net worth

-49requirement, or a certain credit rating which, unless met, would
trigger an early termination of the contract or the posting of
collateral in support of the counterparty’s obligations under the
contract.

Dealers during the relevant years generally did not

adjust interest rates to account for credit risk, nor did they
quote different bid and ask rates on the basis of credit rating.
3.

Techniques Used To Minimize Market Risk

The market risk of interest rate swaps arose from the high
level of volatility in the value of interest rate swaps.

A small

movement in interest rates, for example, could have a large
impact on the value of an interest rate swap.

Swaps dealers

attempted to reduce or eliminate market risk by hedging their
portfolios so that a portfolio’s value would not change
significantly with either a rise or fall in interest rates.
In the early days of the swaps market, dealers employed
simple hedging strategies.

Transactions designed to meet a

customer’s requirements were immediately hedged by entering into
an offsetting transaction, such as a matched swap.

In the later

years, many dealers (including FNBC) adopted more sophisticated
portfolio strategies for hedging market risks.

Under this

approach, all of the dealer’s transactions were broken down into
their component cashflows to yield a measure of the net
(residual) market exposures arising from all of the dealer’s
positions.

The residual market exposures were then hedged in

-50various ways such as by taking positions in the cash market
(e.g., holding or selling short U.S. Treasury securities), by
using interest-rate futures (which are traded on public
exchanges), or by entering into swaps.
H.

Dealer Spreads
1.

Bid-Ask Spread

The bid-ask spread is the difference between the bid and ask
interest rates which are quoted on the interdealer market.

The

market bid is typically the highest among a set of dealers
surveyed.

The market ask is typically the lowest.

The market

bid and market ask need not come from the same dealer’s bid and
ask quotations.

A particular dealer’s quoted bid and ask rates

will often deviate from the market bid and ask rates so that the
dealer’s mid-rate is not necessarily the midmarket rate.
2.

Bid-to-Mid Spread

The spread from midmarket (also known as the bid-to-mid
spread) is the difference between the fixed interest rate that is
quoted on the interbank market and the midmarket rate for a swap.
The bid-to-mid spread equals one-half of the bid-ask spread.
3.

Example

Assume that the market quotes a bid price of 6.5 percent
(the fixed rate it is willing to pay) and an ask price of 6.54
percent (the fixed rate it is willing to receive).

The bid-ask

-51spread is 4 basis points,23 and the midmarket rate is 6.52
percent.

If the dealer’s bid price is accepted and the dealer

enters into a swap under which it is paying a fixed interest rate
of 6.5 percent, then the spread from midmarket is 2 basis points.
4.

Significance of Spreads

The spread from midmarket that a dealer is able to obtain
when it negotiates a swap provides it with the revenue necessary
to cover its costs connected with the swap and, it hopes,
generate a profit.

When a dealer buys a swap, the dealer

captures the difference between its bid on the transaction and
the midmarket rate.

When a dealer sells a swap, the dealer

captures the difference between its ask on the transaction and
the midmarket rate.
In general, a dealer did not enter into a swap unless it
expected to make a profit.

As two exceptions to this rule,

dealers entered into swaps without profit to develop a
relationship with a particular customer or to hedge their
portfolio.
Dealers typically charged smaller spreads to other
dealer/counterparties than to end users.

A dealer that entered

into an interdealer swap usually contemporaneously entered into a
similar swap with an end user.

The dealer typically earned a

profit on the end-user swap by negotiating a bid or ask rate that

23

A basis point is 0.01 percent.

-52was different than the rate that the dealer had negotiated on the
interdealer swap.
5.

Decline in Interdealer Spreads

For interdealer spreads as of December 20, 1993, the
following table shows (in basis points) the bid, ask, and
midmarket rates, and the bid-to-mid spreads for nine common swap
maturities:
Maturity

Bid

Ask

Midmarket

Bid-to-Mid Spread

2-year
3-year
4-year
5-year
6-year
7-year
8-year
9-year
10-year

13.000
22.333
24.333
20.000
26.666
39.666
32.000
32.333
32.333

15.666
25.000
27.000
23.000
29.666
43.000
34.666
35.000
35.000

14.333
23.666
25.666
21.500
28.166
41.333
33.333
33.666
33.366

1.333
1.333
1.333
1.500
1.500
1.667
1.333
1.333
1.333

By 1993, the swap bid-ask spreads had narrowed from earlier
years because in part of competition.

Average bid-ask spreads

for fixed-for-floating interest rate swaps with 2-, 5-, and
10-year tenors narrowed from 4 to 4.5 basis points in July 1991
to 2.5 to 3 basis points in July 1993.
III.

Valuing Swaps
A.

Relevant Valuation Standards

The three relevant valuation standards are fair market
value, market value, and fair value.

-531.

Fair Market Value

The term “fair market value” is typically used in the
economics and business/tax worlds.

The term is generally

understood in its simplest form to mean the price at which
property would change hands between a willing buyer and a willing
seller, neither being under any compulsion to buy and sell and
both having reasonable knowledge of relevant facts.
2.

Market Value

The term “market value” is a term of art in the swaps
industry.

This term is generally understood in its simplest form

to mean the present value of the anticipated cashflows,
calculated according to a series of generally accepted
conventions for using market data and using midmarket swap rates.
The market value of a swap is typically calculated the same way
for all swaps, without regard for the credit rating of the
counterparty and without incorporating an extra adjustment for
credit risk or future administrative costs.24
3.

Fair Value

The term “fair value” is typically used in the accounting
world and is directed to the needs of financial statement

24

The common industry practice of valuing swaps does not
consider differences in the credit ratings of investment grade
counterparties.

-54users.25

The meaning of this term is similar to, but is not

necessarily the same as that of, the term “fair market value”.
“Fair value” is broader than and may include “fair market value”.
The objectives of each of these two concepts also are distinct.
B.

Mark-to-Market Accounting

Swaps dealers generally attempted during the relevant years
to mark their swap positions to market daily.

The concept of

mark-to-market accounting requires that the market value of an
asset such as a swap be recorded on the balance sheet at each
financial reporting date and that any changes in market value
from one reporting date to the next be currently reflected in
income or loss.
C.

Devon System and the Devon (Midmarket) Value
1.

Devon System

FNBC and most other dealers used the Devon system in order
to ascertain their valuations for their mark-to-market accounting
systems.

The Devon system was developed and marketed by an

independent software company named Devon Systems International,
Inc.26

The Devon system was during the relevant years the most

25

Most State statutes also usually define the term for
purposes of valuing dissenting stockholders’ appraisal rights
and, sometimes, for purposes of valuing property in cases of
marital dissolution. As discussed below, that definition is not
applicable here.
26

SunGard Systems International, Inc., a subsidiary of
SunGard Data Systems, Inc., acquired Devon Systems International,
(continued...)

-55commonly used commercially provided integrated front and back
office processing and risk management system for financial
derivatives.

One of the Devon system’s important functions was

to take real time feeds of market rates and provide pricing of
various securities and instruments.
2.

Devon (Midmarket) Value

The Devon system calculated each swap’s mid-market value by
reference to zero-coupon yield curves.

The Devon system used the

two following types of inputs to calculate the midmarket value of
a swap:

(1) Transaction information and (2) market information.

The transaction information was generally the information set
forth in the trade ticket and was typically provided in the
confirmation letter.27

The transaction information included the

notional amount, the tenor, the fixed interest rate, the floating
interest rate, the payment dates, and the payment formulas.

The

26

(...continued)
Inc., in 1987. Devon Systems International, Inc., changed its
name to SunGard Capital Markets, Inc., in 1992. On Jan. 2, 1998,
SunGard Data Systems, Inc., acquired Infinity Financial
Technology, Inc. (IFT), a financial derivatives trading and risk
management company. SunGard Data Systems, Inc., merged IFT and
its existing related Renaissance Software and SunGard Capital
Markets to form a new operating group named Infinity, A SunGard
Company. Infinity now maintains and licenses the Devon software.
27

Each FNBC trader filled out a “trade ticket” for each
transaction in which he or she had responsibility. This ticket,
which listed all of the essential facts of the transaction, was
then transmitted to the back office to input those facts into
FNBC’s Devon system and to prepare the related confirmation
letter.

-56market information was data on the sets of interest rates
prevailing in the financial markets on the valuation date.
The Devon system calculated a swap’s midmarket value in two
steps.

First, the system used the market data to calculate a set

of discount factors and forward rates.

Second, the system

ascertained the present value of the net cashflows over the life
of the swap.

The forward rates were used to translate the

uncertain future cashflows on the floating side of a swap into
expected future cashflows.

The discount factors were used to

reduce the fixed and expected floating cashflows to their present
values.

Summing the present values of the various cashflows

produced the swap’s total present value.
During the relevant years, midmarket values could be
calculated under the Devon system with precision and agreement,
and midmarket values were readily agreed upon for those swaps for
which sufficient information was provided.

The calculation of

midmarket value was critically dependent on the assumptions made
about future interest rates.
3.

Yield Curve
a.

Overview

The yield curve defined the yield (interest rate) available
in the market for a given maturity on an instrument that met the
definitions used in the construction of the yield curve.
yield curve, which was usually a zero-coupon yield curve

The

-57appropriate to the index on which the swaps were based (e.g.,
LIBOR-based swaps required LIBOR yield curves), (1) forecast the
floating interest rates on each date relevant to a swap agreement
and (2) determined the discount rate that should be used to
compute the present value of each payment (fixed and floating)
due under the swap agreement.
b.

Constructing the Curve

In order to construct a yield curve, a user had to make at
least three critical decisions.

First, the user had to decide

among the large amounts of available market information, such as
LIBOR deposit rates, Eurodollar futures prices, swap bid and ask
quotes, and yields on U.S. Treasury securities.

The user had to

choose, for example, whether the 1-year point on the yield curve
would be based on LIBOR rates, Eurodollar future rates, or some
other rate.

Because these rates fluctuated during the day, the

user then had to decide the time of day at which the rates would
be collected, for example, at 11 a.m. or 2 p.m.

Because the

market data produced only a series of points corresponding to the
maturities available in the market, the user then had to decide
on a model that connected the dots in order to interpolate where
the floating interest rate would be on the particular dates
specified in each swap agreement.

-58c.

Imprecise Measure

The midmarket value computed using dealer-constructed yield
curves was a constructed, rather than an observed, number and was
not absolutely precise.

Two dealers could calculate different

midmarket values for the same swap, although the differences
should not have been that large.

Disparities could have

resulted, for example, because (1) the dealers relied on
different market indicators (e.g., one relied on futures prices
while the other relied on LIBOR), (2) the dealers used different
software with different interpolation techniques, or (3) the
dealers relied on prices quoted at different times during the
day.

As to the latter, a small movement in interest rates of

just one basis point during a day could affect the midmarket
values, and the price of a swap could change within a few hours.
During the first quarter of 1990, for example, it was not unusual
for interest rates to move 10 basis points or more in a single
day.
D.

Market Value
1.

Net Present Value-–Forward Rate Pricing

The market value of a swap is equal to the net present value
of the expected net cashflows.

The forward rate pricing approach

calculates this net present value in two steps.
expected net cashflows are determined.

First, the

Second, these expected

cashflows are discounted to produce a present value.

-59a.

Expected Cashflows

The table below shows the forecasted future cashflows as of
December 1, 1992, on the swap illustrated supra p. 27.

The

implied forward rate of 4 percent used for the first floating
payment is specified when the swap is originated.

The remaining

implied forward rates are derived from the midmarket swap curve.
The forecasted cashflows for the floating side are calculated by
multiplying the implied forward rate by the notional principal
and then multiplying the product by a ratio that equals the
number of days in the payment period divided by 360.

Payment
Dates

Number
of
Days in
Period

Fixed
Payment

12/1/1992
6/1/1993
12/1/1993
6/1/1994
12/1/1994
6/1/1995
12/1/1995

182
183
182
183
182
183

$25,278
25,417
25,278
25,417
25,278
25,417

b.

Forecasted
Forecasted
Net Cash
Implied Forward Floating
Flow
Rate
Payment
From (To) FNBC
4.000%
4.262
5.098
5.813
6.379
6.921

$20,222
21,664
25,772
29,549
32,250
35,180

($5,056)
(3,753)
494
4,132
6,972
9,763

Discounting Expected Cashflows

The table below shows the calculation of the present value
of the forecasted future cashflows of the swap.

The second

through fourth columns show the forecasted fixed, floating and
net cashflows on the swap just discussed.
the discount factors for each cashflow.

The fifth column shows
The total present value

of the swap is $10,148 as of December 1, 1992.

-60Forecasted
Net Cash
Payment Fixed Payment Floating Payment
Flow
Discount
Dates
(from FNBC)
(to FNBC)
(to FNBC) Factor
6/1/1993
12/1/1993
6/1/1994
12/1/1994
6/1/1995
12/1/1995
Total

$25,278
25,417
25,278
25,417
25,278
25,417
—--

2.

$20,222
21,664
25,772
29,549
32,250
35,180
---

($5,056)
(3,753)
494
4,132
6,972
9,763
---

.9852
.9643
.9401
.9131
.8845
.8545
---

Present Value
Floating Net Cash
Fixed Payment
Payment
Flow
(from FNBC)
(to FNBC) (to FNBC)
$24,903
24,509
23,762
23,207
22,359
21,718
140,458

$19,922
20,890
24,227
26,980
28,526
30,061
150,606

($4,981)
(3,619)
465
3,773
6,167
8,343
10,148

Floating-Rate Note Method

An alternative approach finesses the need to forecast
expected cashflows.

It works on the analogy between the swap and

a pair of bonds, one of which has a fixed rate and the other of
which has a floating rate.

This method relies on the assumption

of which the floating-rate bond is worth its face value on the
effective date or on any reset date.

Since the market value of

the swap is equal to the difference between the value of the
floating leg and the value of the fixed leg, and since the value
of the floating leg is known, the problem is to determine the
value of the fixed leg.

This does not require the use of a

forward curve.
The floating-rate note method is useful when (1) the terms
of the swap are plain vanilla and (2) the valuation date is a
reset date.

In other cases, a correct implementation of the

floating-rate note method requires additional steps which are
comparable to those employed in the forward rate pricing
approach.
events.

The two approaches yield the same result in all

-613.

Value at Origination

Swaps generally originate close to par, at a rate
approximately equal to either the prevailing market bid or ask,
depending upon which side of the swap the dealer is on.

The

small initial divergence from par is the dealer’s profit on
making the market.

When a dealer buys a swap at the prevailing

market bid rate, it will have a positive value.

The dealer does

not typically pay this positive market value to the counterparty
but keeps it as the profit on origination.

Similarly, when a

dealer sells a swap at the prevailing market ask rate, it will
also have a positive value which is the dealer’s profit on
origination.
Whereas dealers generally originated swaps at prices near
the prevailing market bid and ask rates, a particular dealer at
any given time could set a higher or lower bid or ask rate for a
given maturity swap, thereby producing a higher or lower profit
on that swap.

The dealer’s ability to set the higher or lower

rate depended upon the dealer’s own business situation, on the
risk structure of the dealer’s entire portfolio, on the profile
of the dealer’s full set of counterparties, and/or upon other
commercial considerations.

Dealers seldom agreed to a rate on a

swap which gave the swap a negative value at origination, unless
the dealer was seeking to develop a client relationship and was

-62ready to incur an upfront cost in pursuit of longer term sources
of profit.
4.

Change in Market Value

A swap may originate at par and become an above-market swap
on account of a fall in interest rates.

A swap also may

originate at par and become an above-market swap without a fall
in interest rates.

The latter occurs if the term structure is

upward sloping so that short-maturity swaps are negotiated with a
lower fixed rate than long-maturity swaps.

Because the fixed

rate is typically constant over the life of the swap, a decline
in the swap’s remaining maturity means that the swap’s fixed rate
is above the at-market rate for a newly originated swap with the
identical remaining maturity.

Assume, for example, that the

2-year swap rate is 5 percent, the 3-year swap rate is 6 percent,
and the 4-year swap rate is 7 percent.

Assume further that a

4-year swap is initiated at par (i.e., at a fixed rate of 7
percent).

Assuming that the swap rates remain the same at the

end of the first year, at the beginning of the second year, the
7-percent fixed rate on the remaining 3-year swap now exceeds the
6-percent rate for a newly originated 3-year swap.

The swap is

considered above-market relative to newly originated swaps which
have a par rate of 6 percent.

-63E.

Primary Financial Reporting Methods
1.

Overview

The primary financial reporting alternatives for valuing
nonhedging swaps are amortized cost, current market value, and
lower of cost or market value (lower of cost or market).

The

latter two alternatives use market value information and allow
unrealized gains and losses to be either (1) recognized as
current income on the income statement or (2) accumulated on the
balance sheet in a separate component of shareholders’ equity
until realized.
2.

Amortized Cost

Under the amortized cost method, the initial cost of a
typical interest rate swap is zero; swaps generally have no
cashflow at inception.

On each financial reporting date, income

or loss on the swap is accrued in an amount equal to the portion
of the next scheduled cashflow that reflects the elapsed time as
of the reporting date.

An offsetting entry is made to a

receivable or payable, which is the only balance sheet evidence
of the swap.

On cashflow dates, entries are made to record the

cash received or paid, reverse the receivable or payable, and
record the balance as income or loss.
the swap equals the total cashflows.

Income over the life of

-643.

Current Market Value

Under a current market (or mark-to-market) valuation,
entries are made to record the market value of the swap on the
balance sheet at each financial reporting date.

Changes in

market value are reflected in income or loss, as are cashflows.
Because the sum of changes in market value over the life of the
swap must be zero, the income over the life of the swap again
equals total cashflow.
4.

Lower of Cost or Market

Entries under the lower of cost or market generally follow
the entries made under the amortized cost method, with the added
step that, at each financial reporting date, the swap’s amortized
cost value (if any) is compared with its market value.

If

current market value is below the amortized cost value, an entry
is made to adjust the recorded value to an amount equal to the
market value.

All adjustments to or from market value are

treated as income or loss.

The lower of cost or market method

recognizes losses in market value below the amortized cost value,
and gains to the extent that they recoup previously recognized
losses.

The lower of cost or market does not recognize gains in

market value above the amortized cost value.

-65F.

Relevant Standards of the FASB
1.

The FASB and GAAP

The Financial Accounting Standards Board (FASB) is the
professional organization primarily responsible for establishing
financial reporting standards in the United States.

The FASB’s

standards are known as Generally Accepted Accounting Principles
(GAAP).
2.

Initial Role of Market Values in GAAP

Under GAAP, market values initially played a limited role in
shareholder reporting.

GAAP uses predominantly transaction-based

valuation; i.e., valuation established in an actual transaction
by the reporting entity.

The primary advantage of

transaction-based valuation is reliability; accountants view
values established in arm’s-length transactions as less
subjective and more easily verified than values produced without
such transactions.

The primary disadvantage of transaction-based

valuation is that values can become outdated, thus rendering the
information less relevant to investors.

If a company issued a

bond at par, for example, transaction-based valuation would
report the bond on the company’s financial statements at its
issue price.

If interest rates fell, the market value of the

bond, and thus the market value of the company’s liability, would
rise.

This rise in value would not be recognized in the

-66company’s transaction-based reports, although it would most
likely be an important factor in valuing the company.
3.

SFACs

From the late 1970s through the mid-1980s, the FASB issued a
series of statements known as “Statements of Financial Accounting
Concepts” (SFACs) in an effort to define a conceptual framework
within which accounting standards could be developed.

These

statements did not discuss mark-to-market accounting explicitly.
However, SFAC No. 5, issued in December 1984, allowed for the
possibility that assets and liabilities could in certain cases be
revalued on the basis of current market value in the absence of a
new transaction.

These cases could occur if the current price

information was “sufficiently relevant and reliable to justify
the costs involved”.
Though the transaction-based approach remained dominant, the
SFAC No. 5 criterion for using current market value allowed a
wide range of practice.

The FASB listed three examples of

valuation at current market value from then-current practice:
(1) Some investments in marketable securities, (2) assets
expected to be sold at prices less than previous carrying
amounts, and (3) some liabilities that involved marketable
commodities or securities, such as obligations of writers of
options.

These examples were limited to circumstances where

either (1) shareholders had suffered a decline in value from the

-67historical transaction-based valuation or (2) the item had a
ready market in the form of an organized exchange so that the
cost of obtaining objective and verifiable pricing information
was minimal, as was the uncertainty about whether the reporting
entity could find a buyer.
4.

Change in Accounting Treatment

Until recently, accounting for non-exchange-traded financial
assets had typically been on the basis of amortized cost.

For a

traditional fixed-rate loan, for example, the amortized cost
value of the loan would be (1) the original amount lent, net of
any repayments, plus (2) accrued interest at the contractually
specified rate.

With the exception of actual default, amortized

cost valuation was not sensitive to changing market conditions
such as changes in interest rates or changes in the asset’s
credit risk.
Financial innovation during the 1980s and 1990s created a
need for better information than reported by the traditional
transaction-based system.

With encouragement from the Securities

and Exchange Commission (SEC), the FASB began in the early 1990s
to consider greater use of market values in accounting for
financial instruments.28

28

One concern with the transaction-based

Before 1990, financial accounting standards mentioned
swaps only in the context of hedging. Statement of Financial
Accounting Standards (SFAS) No. 52 mentions currency swaps used
as hedges to reduce risk from currency fluctuations and discusses
(continued...)

-68system was that new financial instruments created potentially
large risks not reported on the balance sheet.

Forward

contracts, for example, typically require no exchange at
inception, so the transaction-based value would be zero at
inception and would remain zero until maturity.

At maturity, the

cash settlement would determine income or loss, without any value
ever appearing on the balance sheet.
A second concern with the transaction-based system was that
firms could sell appreciated on-balance-sheet investments to
report gains and leave investments that had declined in value
reported on the balance sheet at their original cost.

A third

impetus for increasing the use of market value information in
financial reports was the greater acceptance of theoretical
models and the wider availability of financial data to support
more reliable and informative reports.

For example, although

models of option pricing existed in the academic finance
literature in the 1970s, their acceptance in accounting practice
began only in the mid-1980s.
5.

SFASs

From in or about March 1990 through June 1998, the FASB
worked on its financial instruments project.

28

As part of that

(...continued)
the appropriate accounting for such hedges. SFAS No. 52 does not
discuss the appropriate accounting for nonhedging swaps such as
those at issue.

-69project, the FASB issued four statements each known as a
“Statement of Financial Accounting Standards” (SFAS).
a.

SFAS No. 105

In March 1990, the FASB issued SFAS No. 105, “Disclosures of
Information about Financial Instruments with Off-Balance-Sheet
Risk and Financial Instruments with Concentrations of Credit
Risk”.

SFAS No. 105 required the footnote disclosure of the

extent, nature, and terms of financial instruments such as swaps
which had off-balance-sheet risk.

SFAS No. 105 did not require

disclosure of the related market values.
b.

SFAS No. 107

In December 1991, the FASB issued SFAS No. 107, “Disclosures
about Fair Value of Financial Instruments”, effective for fiscal
years ended after December 15, 1992.

SFAS No. 107 required

footnote disclosure of the fair value of financial instruments
for which it was practicable to estimate fair value but did not
require formal recognition in the financial statements.

SFAS No.

107 defined the fair value of a financial instrument as
the amount at which the instrument could be exchanged
in a current transaction between willing parties, other
than in a forced or liquidation sale. If a quoted
market price is available for an instrument, the fair
value to be disclosed for that instrument is the
product of the number of trading units of the
instrument times that market price.
SFAS No. 107 stated that the amounts computed as “market value,
current value, or mark-to-market” value under the then-existing

-70requirements satisfied the fair value requirements of SFAS No.
107.
As relevant herein, the FASB allowed a variety of
methodologies for estimating fair values, including the use of
midmarket values if any adjustments thereto were likely to be
negligible or not cost effective to estimate reliably.

The FASB

recognized in SFAS No. 107 that quoted market prices did not
exist for custom-tailored instruments such as swaps and
recommended that “an estimate of fair value might be based on the
quoted market price of a similar financial instrument, adjusted
as appropriate”.

In illustrating an acceptable disclosure under

SFAS No. 107, SFAS No. 107 gives the following description of
swap valuation:

“The fair value of interest rate swaps * * * is

the estimated amount that the Bank would receive or pay to
terminate the swap agreements at the reporting date, taking into
account current interest rates and the current creditworthiness
of the swap counterparties.”
c.

SFAS No. 119

In October 1994, the FASB issued SFAS No. 119, “Disclosures
about Derivative Financial Instruments and Fair Value of
Financial Instruments”.

SFAS No. 119 required footnote

disclosure of the nature, terms, and fair values of financial
derivative instruments.

SFAS No. 119 was not effective for any

-71of the relevant years, and it did not prescribe specific methods
for arriving at fair value.
d.

SFAS No. 133

In June 1998, the FASB issued SFAS No. 133, “Accounting for
Derivative Instruments and Hedging Activities”.

SFAS No. 133

required non-hedging derivative instruments such as swaps to be
reported at fair value on the balance sheet, with gains and
losses included in current earnings.

SFAS No. 133 was not

effective for any of the relevant years, and it did not prescribe
specific methods for arriving at fair value.
G.

Methods of Valuing Swaps

During the relevant years, the three main methods which
dealers used to value their swaps portfolios were the bid-ask
method, the midmarket method, and the adjusted midmarket method.
1.

Bid-Ask Method

The bid-ask method was essentially a market comparables
approach to valuation.

Some dealers used this method, and it was

recognized as a valid method by the Group of Thirty (G-30)
(discussed infra p. 76) and the OCC.

Under the bid-ask method,

each swap generally was valued by (1) identifying the generic
swap to which it was most comparable, (2) ascertaining the bid or
ask price for that generic swap, and (3) adjusting the
ascertained price to reflect any differences between the generic
swap and the swap being valued.

Bid prices were used to value a

-72long position (swaps where the dealer received the fixed rate),
and ask prices were used to value a short position (swaps where
the dealer paid the fixed rate).

The bid and ask prices were

both interdealer published quotes rather than the dealer’s own
quotes.
2.

Midmarket Method

The industry practice from 1990 through 1993 was to use the
midmarket value to value portfolios and to report separately the
adjustments described below.29

As discussed above, the midmarket

value was the net present value (positive or negative) of the
anticipated cashflows which the parties had agreed to exchange.
A positive value meant that the dealer expected to be a net
receiver of future payments.

A negative value meant that the

dealer expected to be a net payer.
3.

Adjusted Midmarket Method

During the relevant years, the adjusted midmarket method was
a common method used by dealers to value their portfolios, and it
was recognized as a valid method by the G-30.

Under this method,

a dealer calculated the midmarket value of the swaps in its
portfolios and then made certain adjustments.

The type of these

adjustments varied between and among dealers.

Depending on the

dealer, adjustments were made for factors which included credit

29

Most people in the industry during the relevant years
referred to the midmarket value of a swap as its “market value”.

-73risk, future administrative costs, hedging costs, investing and
funding costs, closeout costs, and liquidity (each discussed
infra p. 81).

During the relevant years, there was no standard

practice in the market as to the specific adjustments taken by
dealers.
H.

Nontax Purposes for Which Dealers Value Swaps
1.

Overview

Swaps are valued for a number of nontax purposes.

These

purposes include regulatory reporting, risk management,
management reporting, financial reporting, and pricing.
2.

Regulatory Reporting

National banks such as FNBC had to value their financial
derivative portfolios in reports submitted to their principal
regulator, the OCC.

During the relevant years, the primary focus

of an OCC examination of a bank dealer department was to
determine whether the risk management systems employed by the
bank assured timely recognition of risk-taking and losses and did
not permit an overstatement of income.

In contrast with the

Commissioner’s audits of a taxpayer’s Federal income tax return,
OCC examinations did not focus on understatements of income or of
value.

OCC examiners were instructed to examine closely the

recognition of income associated with financial derivatives
positions to ascertain that the bank under examination had not
overstated its income.

The OCC preferred valuation methodologies

-74and income reporting that resulted in a bank’s taking significant
reserves, deferring income recognition, and using conservative
carrying values for swaps.

The OCC’s role as regulator of the

bank was to oversee the risk management systems employed by the
bank.
The OCC endorsed valuing financial derivative portfolios at
adjusted midmarket values and considered the adjustments
“holdbacks” (i.e., reserves) designed to provide for likely
future costs and to attribute trading income to the appropriate
source of income.

This endorsement reflected the OCC’s

acceptance of a 1986 recommendation of the Basel Committee on
Banking Supervision (Basel Committee) that banks should build a
cautious bias into their estimates of the replacement costs of
off-balance-sheet instruments.

Neither the OCC nor the Basel

Committee provided specific guidelines for calculating midmarket
value adjustments.

The OCC did require banks to take into

account changes in counterparty credit quality in swap
revaluations.

In making credit adjustments to midmarket values,

it was the view of the OCC that the credit adjustment was
typically calculated by formulas based on the counterparty credit
rating, maturity of the transaction, collateral, netting
arrangements, and other credit factors.
In 1994, the FRB expressed concerns about the potential for
income manipulation by use of midmarket adjustments.

-753.

Risk Management

Swaps dealers needed to value financial derivatives to
measure the performance of their financial derivatives trading
operations and to measure and to ascertain how to hedge the
market risks in their portfolios.

Traders were responsible for

maintaining the portfolios they managed within various risk
limits.

The traders needed to know their exposure to long-term

and short-term interest rate movement positions in order to
assure that they did not take on unacceptable levels of risk.
Swaps dealers such as FNBC used midmarket values for daily
risk management purposes.

The purpose of these valuations was to

measure the day-to-day change in the value of the portfolio and
to quantify the impact that particular interest rate movements
would have on the value of the portfolio.

These calculations

were used to monitor risk positions (i.e., how much unhedged
market risk a trader could assume) and to identify where hedging
was needed.

Swaps dealers such as FNBC did not rely upon their

credit adjustments to risk-manage their swaps and did not use
their administrative costs adjustments for risk management.
4.

Management Reporting

Each month, swaps dealers such as FNBC prepared a management
report for the financial derivatives profit center that included
interest rate swaps.

The monthly management reports contained a

profit-and-loss statement and a balance sheet.

On its balance

-76sheets, FNBC valued its swaps at midmarket values and reflected
its credit and administrative costs adjustments in a reserve
account.

Copies of these reports were sent to senior management,

the OCC, and the FRB.
FNBC’s upper management did not rely upon any of the
adjustments used for tax purposes.

In making presentations to

its Board Examining Committee on the profitability and status of
its swaps business, FNBC relied on midmarket values.

FNBC

reported to its Board Examining Committee that it made a
reasonable profit from the difference between the swaps market
and the customer.30
5.

Financial Reporting and Pricing

Swaps dealers such as FNBC valued their swaps for financial
reporting and pricing purposes.

FNBC did not rely upon its

credit adjustments in pricing its swaps.
I.

The G-30
1.

Overview

The G-30 is a private, nonprofit international body that
comprises very senior representatives of the private and public
sectors and academia.

It was organized to deepen understanding

of international economic and financial issues and to examine the
choices available to market practitioners and policymakers.

30

It

FNBC also did not rely upon its credit adjustments to set
employee bonuses.

-77is supported by contributions from private sources such as banks
and nonbank corporations.

During the relevant years, the

chairman of the G-30 was Paul Volcker.
2.

G-30’s Review of Industry Practices

The G-30 establishes study groups, committees, and
subcommittees to study various matters of interest to the
international financial community.

In 1992, the G-30

commissioned an authoritative review of industry practices and
performance with respect to financial derivatives.

The G-30 did

so in order to define a set of sound risk management practices
for dealers, end users, and regulators.

Later that year, the

G-30 established a Derivatives Project Steering Committee, which,
in turn, created a working group of specialists (working group)
in the financial derivatives field.
The working group conducted a comprehensive study of
financial derivatives and financial derivatives markets drawn
from the experience of market participants.

In July 1993, the

working group issued its report (G-30 report), entitled
“Derivatives:

Practices and Principles”.

The G-30 report

focused on bank regulatory concerns and generally defined a set
of sound risk management practices for dealers and end users.
The working group followed that report with various surveys
published in 1994 as to industry practices.
incorporated into the G-30 report.

These surveys were

-783.

G-30 Report

The G-30 report set forth an unofficial but authoritative
review of industry practices and performances, mainly for the
benefit of the risk management activities of dealers and end
users.

The G-30 report included a primary section on

recommendations and the following additional and integral parts:
Appendix I
Appendix II

Working Papers, dated July 1993
Legal Enforceability, Survey of Nine
Jurisdictions, dated July 1993
Appendix III
Survey of Industry Practices, dated
March 1994
Follow-up Surveys of Industry Practice, dated December
1994
As to the valuation of financial derivatives, Recommendation
3 of the G-30 report stated:
Recommendation 3:

Market Valuation Methods

Derivatives portfolios of dealers should be valued
based on mid-market levels less specific adjustments,
or on appropriate bid or offer levels. Mid-market
valuation adjustments should allow for expected future
costs such as unearned credit spread, close-out costs,
investing and funding costs, and administrative costs.
The G-30 report explained as to this recommendation:
Marking to mid-market less adjustments specifically
defines and quantifies adjustments that are implicitly
assumed in the bid or offer method. Using the midmarket valuation method without adjustment would
overstate the value of a portfolio by not deferring
income to meet future costs and to provide a credit
spread.
Two adjustments to mid-market are necessary even for a
perfectly matched portfolio: the “unearned credit
spread adjustment” to reflect the credit risk in the
portfolio; and the “administrative costs adjustment”
for costs that will be incurred to administer the

-79portfolio. The unearned credit spread adjustment
represents amounts set aside to cover expected credit
losses and to provide compensation for credit exposure.
Expected credit losses should be based upon expected
exposure to counterparties (taking into account netting
arrangements), expected default experience, and overall
portfolio diversification. The unearned credit spread
should preferably be adjusted dynamically as these
factors change. It can be calculated on a transaction
basis, on a portfolio basis, or across all activities
with a given client.
Two additional adjustments are necessary for portfolios
that are not perfectly matched: the “close-out costs
adjustment” which factors in the cost of eliminating
their market risk; and the “investing and funding costs
adjustment” relating to the cost of funding and
investing cash flow mismatches at rates different than
the LIBOR rate which models typically assume.
The Survey reveals a wide range of practice concerning
the mark-to-market method and the use of adjustments to
mid-market value. The most commonly used adjustments
are for credit and administrative costs.
The G-30 report does not provide an objective standard as to
the calculation, measurement, or testing of either the unearned
credit spread (i.e., the credit adjustment) or the administrative
costs adjustment.
4.

BC-277

Later in 1993, shortly after the G-30 report was issued, the
OCC released Banking Circular 277 (BC-277), entitled “Risk
Management of Financial Derivatives”.

This document addressed

the valuation of financial derivatives and was sent to the chief
executive officer of every national bank.
stated on the cover page:

In relevant part, it

-80PURPOSE
This banking circular provides guidance on risk
management practices to national banks and federal
branches and agencies engaging in financial derivatives
activities. The guidelines in this circular represent
prudent practices that will enable a bank to conduct
financial derivatives activities in a safe and sound
manner. National banks engaged in financial
derivatives transactions are expected to follow these
guidelines. * * *
*

*

*

*

*

*

*

SCOPE
Financial derivatives transactions currently represent
a relatively small portion of the total credit, market,
liquidity, and operational risk to which most banks are
routinely exposed. However, because of their
complexity, many banks involved in financial
derivatives transactions have developed sophisticated
approaches in managing those traditional types of risk.
These guidelines reflect such approaches and,
therefore, represent sound procedures for risk
management generally. Therefore, to the extent
possible, they should be applied to all of a bank’s
risk-taking activities.
As to the valuation of derivatives, BC-277 stated:
4.

Valuation Issues

Banks that engage in financial derivatives activities
should ensure that the methods they use to value their
derivatives positions are appropriate and that the
assumptions underlying those methods are reasonable.
Dealers and active position-takers should have systems
that accurately measure the value of their financial
derivative portfolios. The pricing procedures and
models the bank chooses should be consistently applied
and well-documented. Models and supporting statistical
analyses should be validated prior to use and as market
conditions warrant.
The best approach is to value derivatives portfolios
based on mid-market levels less adjustments.

-81Adjustments should reflect expected future costs such
as unearned credit spreads, close-out costs, investing
and funding costs, and administrative costs. Most
limited end-users (and some traders) may find it too
costly to establish systems that accurately measure the
necessary adjustments for mid-market pricing. In such
cases, banks may price derivatives based on bid and
offer levels, provided they use the bid side for long
positions and the offer side for short positions. This
procedure will ensure that financial derivatives
positions are not overvalued.
Banks adopting mid-market pricing should recognize that
mid-market prices are not observable for many
instruments. In those cases, banks should derive
unbiased estimates of market prices from prices in
similar markets or from sources that are independent of
the bank’s traders. The bank’s operations staff should
develop procedures to verify the reasonableness of all
pricing variables or, if that is not possible, should
limit the bank’s exposure through position or
concentration limits and develop appropriate reporting
mechanisms.
Traders may review and comment on prices. When
material discrepancies occur, senior management should
review them. If, in an extenuating circumstance,
senior management overrides a back office estimate, it
should prepare a written explanation of the decision.
IV.

Adjustments to Midmarket Value
A.

Overview

The credit adjustment and the administrative costs
adjustment are the primary adjustments in dispute.

The total of

these adjustments in the industry exceeds $1 billion per year.
Dealers during the relevant years also reported adjustments to
midmarket value for the following:

(1) Provision for current

closeout costs of net open positions, (2) provision for future
hedging costs (portfolio rebalances), (3) adjustment for odd

-82cashflows, (4) adjustment to reflect borrowing and lending rates
for in- or out-of-the-money positions, (5) liquidity, and
(6) model risk.

We discuss the adjustments recognized by the

parties and/or experts.
B.

Administrative Costs Adjustment
1.

Overview

The adjustment for administrative costs represented those
expenses which a dealer expected to incur in the future in
holding, managing, and administering its existing swap portfolio
to maturity.

The adjustment reflected the dealer’s operation,

maintenance, and staffing of the support functions and limited
trading personnel, including the personnel needed to execute swap
transactions to service the existing portfolio, process payments
on the swaps, determine and execute the appropriate hedges as to
the swaps, and monitor the credit standing of counterparties.
The adjustment reflected the appropriate data feeds, software
licenses, activities needed to support the trading floor, and
associated space costs.
2.

Dealers’ Practice

Dealers did not take administrative costs into account for
purposes such as pricing and trading.

Negotiations among dealers

were over the total price of a swap, and dealers did not
separately negotiate an administrative costs component of the
spread from midmarket value.

-833.

Use of Dealer’s Own Costs

Dealers calculated their administrative costs adjustments on
the basis of their own internal estimates of future costs.

There

was neither a market standard for administrative expenses related
to swaps, nor a market standard (or market data) for an
administrative costs adjustment whether on a swap-by-swap or
portfolio basis.
Dealers did not know the level of administrative (or other)
costs experienced by other dealers.

That information was

generally regarded as proprietary and was not public.
C.

Adjustment for Counterparty Credit Risk
1.

Overview

A party to a swap was exposed to credit risk.

The party’s

credit risk was the potential change in the market price of the
party’s position in the swap due to the credit quality of the
counterparty.

The event of a default by the counterparty lowered

the market price of that position, and the danger of default was
the ultimate source of credit risk.

Short of an actual default,

a downgrade in the counterparty’s credit rating could also affect
the market price of the party’s position in the swap.

Credit

risk included the danger that the market price of the party’s
position in a swap would fall because of a downgrade in the
credit rating of the counterparty.

-84Although the notion of midmarket adjustments for credit risk
was recognized in the swaps market, there was no publicly
available data as to the impact that credit quality had on swap
prices.

The publicly reported bid and ask rates were commonly

considered valid for counterparties rated AA, and counterparties
with other ratings that negotiated around these quotes did not
publicly report the prices which they negotiated.

Those

negotiated prices, therefore, could not be distilled into a set
of swap curves for different credit qualities.
2.

Common Method of Calculating Adjustment

There was no consensus during the relevant years about
either the model or the methodology that should be used to
calculate a credit adjustment on swaps.

Many bank dealers

calculated their credit adjustments on the basis of a formula
that referenced (1) each counterparty’s credit rating, (2) the
bank’s estimate of expected losses for that credit rating, and
(3) a loan equivalency amount.
a.

Counterparty Credit Rating

Most bank dealers had well-established internal credit
risk-rating systems which were developed for purposes other than
calculating a credit adjustment on a swap.

Many dealers applied

these credit ratings to ascertain their credit adjustments for
swaps.

-85b.

Expected Loss Factor

On the basis of historical experience, bank dealers
generally ascertained a loss factor for each credit rating.

The

loss factor represented the bank’s estimate of its credit losses
for each dollar of credit exposure in that credit rating.

The

loss factors were generally derived from the bank’s experience
with loans to borrowers with the respective credit ratings.
c.

Loan Equivalency
i.

Overview

A bank would typically establish a credit limit for each
customer, and the loan equivalency measurement of credit exposure
was used by banks in applying credit limits.

The loan

equivalency amount focused on the bank

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Source: Frix Law Library, https://www.frixlaw.com/law-library/documents/agency%3Atax-court%3A4b6fee104b1d4963. Public record. Not legal advice.
