CHAPTER

14 Interest Rate and

Currency Swaps

CHAPTER OUTLINE
Types of Swaps
Size of the Swap Market
The Swap Bank
Swap Market Quotations
Interest Rate Swaps
Basic Interest Rate Swap
Pricing the Basic Interest Rate Swap
Currency Swaps
Basic Currency Swap
Equivalency of Currency Swap Debt Service Obligations
Pricing the Basic Currency Swap
A Basic Currency Swap Reconsidered
Variations of Basic Interest Rate and Currency Swaps
Risks of Interest Rate and Currency Swaps
Is the Swap Market Efficient?
Summary
Key Words
Questions
Problems
Internet Exercises
M C : The Centralia Corporation’s Currency Swap
INI ASE

CHAPTER 5 INTRODUCED forward contracts as a vehicle for hedging exchange rate risk;
Chapter 7 introduced futures and options contracts on foreign exchange as alternative tools to
hedge foreign exchange exposure. These types of instruments seldom have terms longer than
a few years, however. Chapter 7 also discussed Eurodollar futures contracts for hedging
short-term U.S.-dollar-denominated interest rate risk. In this chapter, we examine interest rate
swaps, both single-currency and cross-currency, which are techniques for hedging long-term
interest rate risk and foreign exchange risk.
The chapter begins with some useful definitions that define and distinguish between
interest rate and currency swaps. Data on the size of the interest rate and currency swap
markets are presented. The next section illustrates the usefulness of interest rate swaps. The
following section illustrates the construction of currency swaps. The chapter also details the
risks confronting a swap dealer in maintaining a portfolio of interest rate and currency swaps
and shows how swaps are priced.

Types of Swaps
In interest rate swap financing, two parties, called counterparties, make a contractual
agreement to exchange cash flows at periodic intervals. There are two types of interest rate
swaps. One is a single-currency interest rate swap. The name of this type is typically
shortened to interest rate swap. The other type can be called a cross-currency interest
rate swap. This type is usually just called a currency swap.
In the basic (“plain vanilla”) fixed-for-floating rate interest rate swap, one counter-party
exchanges the interest payments of a floating-rate debt obligation for the fixed-rate interest
payments of the other counterparty. Both debt obligations are denominated in the same
currency. Some reasons for using an interest rate swap are to better match cash inflows and
outflows and/or to obtain a cost savings. There are many variants of the basic interest rate
swap, some of which are discussed below.
In a currency swap, one counterparty exchanges the debt service obligations of a bond
denominated in one currency for the debt service obligations of the other counterparty
denominated in another currency. The basic currency swap involves the exchange of fixed-
for-fixed rate debt service. Some reasons for using currency swaps are to obtain debt
financing in the swapped denomination at a cost savings and/or to hedge long-term foreign
exchange rate risk. The International Finance in Practice box “The World Bank’s First
Currency Swap” discusses the first currency swap.

page 366

INTERNATIONAL FINANCE
 IN PRACTICE

The World Bank’s First Currency

Swap
The World Bank frequently borrows in the national capital markets around
the world and in the Eurobond market. It prefers to borrow currencies with
low nominal interest rates, such as the (former) deutsche mark and the
Swiss franc. In 1981, the World Bank was near the official borrowing limits
in these currencies but desired to borrow more. By coincidence, IBM had a
large amount of deutsche mark and Swiss franc debt that it had incurred a
few years earlier. The proceeds of these borrowings had been converted to
dollars for corporate use. Both the World Bank and IBM were AAA credit
risks. Nevertheless, in the market, the World Bank had a comparative
advantage of 5 basis points (bps) in borrowing dollars, whereas IBM had a
comparative advantage of 20 bps in borrowing Swiss francs and a similar
amount on deutsche marks.* Salomon Brothers convinced the World Bank
to issue Eurodollar debt with maturities matching the IBM debt in order to
enter into a currency swap with IBM. IBM agreed to pay the debt service
(interest and principal) on the World Bank’s Eurodollar bonds, and in turn,
the World Bank agreed to pay the debt service on IBM’s Swiss franc and
deutsche mark debt. Both counterparties benefited from a lower all-in cost
(interest expense, transaction costs, and service charges) than they
otherwise would have had. IBM ended up saving 15 bps on equivalent
dollar debt, and the World Bank saved 10 bps on equivalent Swiss franc
debt. Additionally, the World Bank benefited by developing an indirect way
to obtain desired currencies without going directly to the German and
Swiss capital markets.
*Interest
rate comparative advantages were obtained from an online handout prepared by Yee-Tien
Fu for a course in international investments at Stanford University.

Size of the Swap Market

As the International Finance in Practice box suggests, the market for currency swaps
developed first. Today, however, the interest rate swap market is larger. Exhibit 14.1 provides
some statistics on the size and growth in the OTC interest rate and currency swap markets.
Size is measured by notional principal, a reference amount of principal for determining
interest payments. The exhibit indicates that the interest rate swap market has contracted
since 2009. The total amount of interest rate swaps outstanding decreased from $349 trillion
at year-end 2009 to $327 trillion at year-end 2018, a decrease of 6 percent. As the exhibit
shows, the notional value of outstanding interest rate swaps declined from a peak amount in
2013. This contraction was due to the new tighter regulation of this market discussed in the
next section and to the creation of new exchange-traded interest rate futures contracts that
offer competition to the OTC interest rate swap market. Total outstanding currency swaps
increased 51 percent, from $16.5 trillion at year-end 2009 to $24.9 trillion at year-end 2018.

EXHIBIT 14.1 Size of OTC Interest Rate and Currency Swap Markets: Total Notional Principal
Outstanding Amounts in Billions of U.S. Dollars*

Year Interest Rate Swaps Currency Swaps

2009 349,236 16,509
2010 364,377 19,271
2011 402,611 22,791
2012 370,002 25,420
2013 456,725 25,448
2014 381,129 24,042
2015 288,634 22,750
2016 289,103 22,971
2017 318,870 25,535
2018 326,690 24,858
*
Notional principal is used only as a reference measure to which interest rates are applied for determining
interest payments.
Sources: Interest rate swap notional values are compiled from various issues of International Banking and
Financial Market Developments, Bank for International Settlements.

www.isda.org

This is the website of the International Swaps and Derivatives Association Inc. The ISDA’s mission is to foster
safe and efficient derivatives markets to facilitate effective risk management for all users of derivative products.
This site describes the activities of the ISDA and provides information about education webinars the ISDA
sponsors about derivative products, risk management techniques, and trading practices.

page 367

While not shown in Exhibit 14.1, the five most common currencies used to denominate
interest rate and currency swaps were the U.S. dollar, euro, Japanese yen, the British pound
sterling, and the Canadian dollar.
The Swap Bank
A swap bank is a generic term to describe a financial institution that facilitates swaps
between counterparties. A swap bank can be an international commercial bank, an investment
bank, a merchant bank, or an independent operator. The swap bank serves as either a swap
broker or swap dealer. As a broker, the swap bank matches counterparties but does not
assume any risk of the swap. The swap broker receives a commission for this service. Today,
most swap banks serve as dealers or market makers. As a market maker, the swap bank
stands willing to accept either side of a currency swap, and then later lay it off, or match it
with a counterparty. In this capacity, the swap bank assumes a position in the swap and
therefore assumes certain risks. The dealer capacity is obviously more risky, and the swap
bank would receive a portion of the cash flows passed through it to compensate it for bearing
this risk.
Problems encountered in the OTC derivatives markets that became highlighted during the
global financial crisis have resulted in new regulation designed to increase trading stability in
financial markets. With respect to interest rate and currency swaps trading, two new pieces of
regulation have specific impact. In the United States, the Commodity Futures Trading
Commission has new authority under the Commodities Exchange Act, as amended by the
Dodd-Frank Act, to prescribe standards for swap dealers and major swap participants related
to the timely and accurate confirmation, reconciliation, compression, and documentation of
swaps. In the European Union, the European Securities and Markets Authority adopted new
European Market Infrastructure Regulation specifying central counterparties and trade
repositories requiring counterparties to have appropriate procedures and arrangements to
measure, monitor, and mitigate operational risk and counterparty credit risk for interest rate
swaps. Central clearing is not currently required for currency swaps. Additionally, collateral
in the form of initial margin must be deposited. With these changes, the swap markets now
operate similarly to futures markets as described in Chapter 7. The International Finance in
Practice box “Double-Crossed” discusses issues in the implementation of central clearing-
houses under new regulation.

Swap Market Quotations

Swap banks will tailor the terms of interest rate and currency swaps to customers’ needs.
They also make a market in generic “plain vanilla” swaps and provide current market
quotations applicable to counterparties with Aa or Aaa credit ratings. Consider a basic U.S.
dollar fixed-for-floating interest rate swap indexed to dollar LIBOR. A swap bank will
typically quote a fixed-rate bid-ask spread (either semiannual or annual) versus three-month
or six-month dollar LIBOR flat, that is, no credit premium. Suppose the quote for a five-year
swap with semiannual payments is 8.50–8.60 percent against six-month LIBOR flat. This
means the swap bank will pay semiannual fixed-rate dollar payments of 8.50 percent on
notional principal against receiving six-month dollar LIBOR on the same amount, or it will
receive semiannual fixed-rate dollar payments at 8.60 percent against paying six-month
dollar LIBOR.

www.bis.org

This is the website of the Bank for International Settlements. This site describes the activities and purpose of the
BIS. Many online publications about foreign exchange and OTC derivatives are available at this site.

It is convention for swap banks to quote interest rate swap rates for a currency against a
local standard reference in the same currency and currency swap rates against dollar LIBOR.
For example, for a five-year swap with semiannual payments in Swiss francs, suppose the
bid-ask swap quotation is 6.60–6.70 percent against six-month LIBOR flat. This means the
swap bank will pay semiannual fixed-rate SFr payments at 6.60 percent against receiving six-
month SFr (dollar) LIBOR in an interest rate (a currency) swap, or it will receive semiannual
fixed-rate SFr payments at 6.70 percent against paying six-month SFr (dollar) page 368
LIBOR in an interest rate (a currency) swap. In the currency swap, the respective
payments are based on the equivalent notional principals in the two currencies.

INTERNATIONAL FINANCE
IN PRACTICE

Double-Crossed
Bigger May Not Be Better When It Comes to Clearing-Houses
The bookmaker on Aldgate High Street, on the fringes of London’s
financial district, attracts its fair share of risk-takers. But across the road, at
the offices of LCH.Clearnet, part of the London Stock Exchange Group
(LSE), the really big bets are handled. It and other clearing-houses now
occupy a central position in high finance. They ensure that trillions of
dollars are paid out on derivatives contracts each day. A decade of
dealmaking has created five big beasts of clearing: LSE, Deutsche Börse,
CME Group, ICE and HKEX. A planned merger between LSE and the
Germans would reduce that to four.
LSE and Deutsche Börse take their names from their respective
bourses. But they now make more money from their clearing-houses,
LCH.Clearnet and Eurex Clearing. That is because the clearing of
derivatives has become central to the modern financial system.
Imagine two banks want to hedge against interest-rate movements, but
in opposite directions. They sign a contract that will lead to a payment from
one to the other if rates rise, and the reverse if they fall. The potential loss
or gain is theoretically unlimited, since there is no ceiling (or floor, as the
world is fast learning) to rates. To make sure the other party is able to pay
up, the two will often work through a middleman—the clearing-house. For
a fee, the clearing-house signs two offsetting but technically separate
derivatives contracts with the two parties. As long as both know that it is
good for the money, they know their bets are solid.
But the clearing-house is now left with the risk that the losing party fails
to stump up. So it asks the two parties to post collateral, or margin, which it
can keep if one of them defaults. That way the clearing-house only suffers
if the defaulting party owes more than the margin it has posted.
In theory, this system makes bank failures less contagious and the
financial system more resilient. In 2009 the G20, a club of big economies,
decided that simple derivatives contracts should all be put through
clearing-houses, rather than settled directly between the two parties. As a
result, clearing-houses, also known as central counterparties, now handle
trades with a notional worth of hundreds of trillions of dollars.
The more margin the clearing-houses take, the safer they are. The
required margin is calculated using sophisticated actuarial models, and is
heavily regulated. The riskier a trade, naturally, the more margin is needed.
LCH.Clearnet and Eurex Clearing hold some €150 billion ($170 billion) in
collateral between them. Deutsche Börse notes that its large margin pool
helps to ensure the “safety, resiliency and transparency of global financial
markets.” But having to put up more collateral is expensive for customers.
Clearing-houses, which compete for customers, therefore have an
incentive not to take too much.
Banks don’t just bet on interest rates, of course. They may also buy
derivatives tied to bond yields or currency movements, say. Some of those
prices move in relation to one another in predictable ways. Gains on an
interest-rate future may offset losses on a bond-price future, for example.
Clearing-houses take such correlations into account when setting the
overall amount of collateral they demand from their customers, a technique
called “cross-margining” or “portfolio margining.” CME Group boasts that
its portfolio-margining service can cut margin requirements by 54–80%.
LCH.Clearnet’s “Spider” and Eurex’s “Prisma” services do something
similar.
 All of which gives clearing-houses an incentive to merge. Some clients
use LCH.Clearnet and Eurex Clearing to make correlated wagers. If the
two entities combined, they could use cross-margining to reduce the
amount of collateral such customers needed, gaining an advantage over
the competition. (The pair say that initially, at least, they would limit such
offsetting to perfectly matching derivatives.)
There is a downside, though. The exchange industry is already highly
concentrated. Regardless of who gobbles up LSE (ICE may yet enter the
fray), the five big groups will soon become four. As they consolidate, the
amount of collateral in the system is likely to be reduced.
That could prove risky. Correlations between different asset classes
sometimes break down during crises. Such unpredictable movements
caused the clearing-house of the Hong Kong Futures Exchange to blow up
after the stockmarket crash of 1987, forcing the city’s capital markets to
close. Such events suggest that models that rely on correlations to trim
margin requirements must be ultraconservative.
There is no evidence that any big clearing-house holds too little
collateral. Their models are designed to withstand the simultaneous failure
of their two biggest customers. They can also tap big default funds if things
go wrong. Regulators are untroubled. But it is a worry, nonetheless, that
the logic of competition seems to be ever-bigger clearing-houses with ever
less collateral.

Source: © The Economist Newspaper Limited, London, April 2, 2016.

It follows that if the swap bank is quoting 8.50–8.60 percent in dollars and 6.60–6.70
percent in SFr against six-month dollar LIBOR, it will enter into a currency swap in which it
would pay semiannual fixed-rate dollar payments of 8.50 percent in return for page 369
receiving semiannual fixed-rate SFr payments at 6.70 percent, or it will receive
semiannual fixed-rate dollar payments at 8.60 percent against paying semiannual fixed-rate
SFr payments at 6.60 percent.
Exhibit 14.2 provides an illustration of interest rate swap quotations. Swap banks typically
build swap yield curves such as this from the 90-day LIBOR rates implied in the Eurodollar
interest rate futures contracts we discussed in Chapter 7.

EXHIBIT 14.2 Interest Rate Swap Quotations

Bid and Ask rates as of close of London business. £ and Yen quoted on a semiannual actual/365 basis against 6
month Libor with the exception of the 1 Year GBP rate which is quoted annual actual against 3M Libor.
Euro/Swiss Franc/Dollar-quoted on an annual bond 30/360 basis against 6 month Euribor/Libor/Libor.
Source: Bloomberg, May 17, 2016.

Interest Rate Swaps

Basic Interest Rate Swap
As an example of a basic, often called “plain vanilla,” interest rate swap, consider the
following example of a fixed-for-floating rate swap. Bank A is a AAA-rated international
bank located in the United Kingdom. The bank needs $10,000,000 to finance floating-rate
Eurodollar term loans to its clients. It is considering issuing five-year floating-rate notes
indexed to LIBOR. Alternatively, the bank could issue five-year fixed-rate Eurodollar bonds
at 10 percent. The FRNs make the most sense for Bank A, since it would be using a floating-
rate liability to finance a floating-rate asset. In this manner, the bank avoids the interest rate
risk associated with a fixed-rate issue. Without this hedge, Bank A could end up paying a
higher rate than it is receiving on its loans should LIBOR fall substantially.
Company B is a BBB-rated U.S. company. It needs $10,000,000 to finance a capital
expenditure with a five-year economic life. It can issue five-year fixed-rate bonds at a rate of
11.25 percent in the U.S. bond market. Alternatively, it can issue five-year FRNs at LIBOR
plus .50 percent. The fixed-rate debt makes the most sense for Company B because it locks in
a financing cost. The FRN alternative could prove very unwise should LIBOR increase
substantially over the life of the note, and could possibly result in the project being
unprofitable.
A swap bank familiar with the financing needs of Bank A and Company B has the
opportunity to set up a fixed-for-floating interest rate swap that will benefit each counterparty
and the swap bank. Assume that the swap bank is quoting five-year U.S. dollar interest rate
page 370
swaps at 10.375–10.50 percent against LIBOR flat. The key, or necessary
condition, giving rise to the swap is that a positive quality spread differential (QSD)
exists. A QSD is the difference between the default-risk premium differential on the fixed-
rate debt and the default-risk premium differential on the floating-rate debt. In general, the
former is greater than the latter. The reason for this is that the yield curve for lower-quality
debt tends to be steeper than the yield curve for higher-rated debt. Financial theorists have
offered a variety of explanations for this phenomenon, none of which is completely
satisfactory. Exhibit 14.3 shows the calculation of the QSD.

EXHIBIT 14.3 Calculation of Quality Spread Differential

Company B Bank A Differential

Fixed-rate 11.25% 10.00% 1.25%
Floating-rate LIBOR + .50% LIBOR .50%
_____
QSD = .75%

Given that a postitive QSD exists, it is possible for each counterparty to issue the debt
alternative that is least advantageous for it (given its financing needs), then swap interest
payments, such that each counterparty ends up with the type of interest payment desired, but
at a lower all-in cost than it could arrange on its own. Exhibit 14.4 diagrams a possible
scenario the swap bank could arrange for the two counterparties. The interest rates used in
Exhibit 14.4 refer to the percentage rate paid per annum on the notional principal of
$10,000,000.

EXHIBIT 14.4 Fixed-for-Floating Interest Rate Swap*

*Debt service expressed as a percentage of $10,000,000 notional value.

page 371

From Exhibit 14.4, we see that the swap bank has instructed Company B to issue FRNs at
LIBOR plus .50 percent rather than the more suitable fixed-rate debt at 11.25 percent.
Company B passes through to the swap bank 10.50 percent (on the notional principal of
$10,000,000) and receives LIBOR in return. In total, Company B pays 10.50 percent (to the
swap bank) plus LIBOR + .50 percent (to the floating-rate bondholders) and receives LIBOR
percent (from the swap bank) for an all-in cost (interest expense, transaction costs, and
service charges) of 11 percent. Thus, through the swap, Company B has converted floating-
rate debt into fixed-rate debt at an all-in cost .25 percent lower than the 11.25 percent fixed
rate it could arrange on its own.
Similarly, Bank A was instructed to issue fixed-rate debt at 10 percent rather than the more
suitable FRNs. Bank A passes through to the swap bank LIBOR percent and receives 10.375
percent in return. In total, Bank A pays 10 percent (to the fixed-rate Eurodollar bondholders)
plus LIBOR percent (to the swap bank) and receives 10.375 percent (from the swap bank) for
an all-in cost of LIBOR −.375 percent. Through the swap, Bank A has converted fixed-rate
debt into floating-rate debt at an all-in cost .375 percent lower than the floating rate of
LIBOR it could arrange on its own.
 The swap bank also benefits because it pays out less than it receives from each
counterparty to the other counterparty. Note from Exhibit 14.4 that it receives 10.50 percent
(from Company B) plus LIBOR percent (from Bank A) and pays 10.375 percent (to Bank A)
and LIBOR percent (to Company B). The net inflow to the swap bank is .125 percent per
annum on the notional principal of $10,000,000. In sum, Bank A has saved .375 percent,
Company B has saved .25 percent, and the swap bank has earned .125 percent. This totals .75
percent, which equals the QSD. Thus, if a QSD exists, it can be split in some fashion among
the swap parties resulting in lower all-in costs for the counterparties.
In an interest rate swap, the principal sums the two counterparties raise are not exchanged,
since both counterparties have borrowed in the same currency. The amount of interest
payments that are exchanged are based on a notional sum, which may not equal the exact
amount actually borrowed by each counterparty. Moreover, while Exhibit 14.4 portrays a
gross exchange of interest payments based on the notional principal, in practice only the net
difference is actually exchanged. For example, Company B would pay to the swap bank the
net difference between 10.50 percent and LIBOR percent on the notional value of
$10,000,000.

In More Depth

Pricing the Basic Interest Rate Swap

At the inception date of a swap, the market value of both sides of the swap are equal. As
interest rates change, the value of the cash flows will change, and both sides may no longer
be equal. This is interest rate risk. The deviation can amount to 2 to 4 percent of notional
principal. Only this small fraction is subject to credit (or default) risk.
After the inception of an interest rate swap, it may become desirable for one and/or the
other counterparty to unwind or reverse the swap. The value of an interest rate swap to a
counterparty should be the difference in the present values of the payment streams the
counterparty will receive and pay on the notional principal. As an example, consider
Company B from our previous example. Company B pays 10.50 percent to the swap bank
and receives LIBOR percent from the swap bank on a notional value of $10,000,000. It has
an all-in cost of 11 percent because it has issued FRNs at LIBOR + .50 percent.
Assume that one year later, the swap bank is quoting four-year dollar swaps at 9.00–9.125
percent versus LIBOR flat. This will also be a reset date for the FRNs. On any reset date, the
present value of the future floating-rate payments paid or received at LIBOR on page 372
the notional value will always be $10,000,000. The present value of a
hypothetical bond issue of $10,000,000 with four remaining 10.50 percent coupon payments
at the new swap bid rate of 9 percent is $10,485,958 = $1,050,000 × PVIFA9%,4 +
$10,000,000 × PVIF9%,4. The value of the swap is $10,000,000 − $10,485,958 = −$485,958.
Thus, Company B should be willing to pay $485,958 to the swap bank to unwind or reverse
the original swap. In essence, the market value of the swap is the present value of the
difference between paying 10.50 percent and receiving 9 percent on the $10,000,000 notional
value discounted at the new swap bid rate of 9 percent. That is: −$150,000 × PVIFA9%,4 = −
$485,958.

Currency Swaps
Basic Currency Swap
As an example of a basic currency swap, consider the following example. A U.S. MNC
desires to finance a capital expenditure of its German subsidiary. The project has an
economic life of five years. The cost of the project is €40,000,000. At the current exchange
rate of $1.30/€1.00, the parent firm could raise $52,000,000 in the U.S. capital market by
issuing five-year bonds at 8 percent. The parent would then convert the dollars to euros to
pay the project cost. The German subsidiary would be expected to earn enough on the project
to meet the annual dollar debt service and to repay the principal in five years. The only
problem with this situation is that a long-term transaction exposure is created. If the dollar
appreciates substantially against the euro over the loan period, it may be difficult for the
German subsidiary to earn enough in euros to service the dollar loan.
An alternative is for the U.S. parent to raise €40,000,000 in the international bond market
by issuing euro-denominated Eurobonds. (The U.S. parent might instead issue euro-
denominated foreign bonds in the German capital market.) However, if the U.S. MNC is not
well known, it will have difficulty borrowing at a favorable rate of interest. Suppose the U.S.
parent can borrow €40,000,000 for a term of five years at a fixed rate of 7 percent. The
current normal borrowing rate for a well-known firm of equivalent creditworthiness is 6
percent.
Assume a German MNC of equivalent creditworthiness has a mirror-image financing
need. It has a U.S. subsidiary in need of $52,000,000 to finance a capital expenditure with an
economic life of five years. The German parent could raise €40,000,000 in the German bond
market at a fixed rate of 6 percent and convert the funds to dollars to finance the expenditure.
Transaction exposure is created, however, if the euro appreciates substantially against the
dollar. In this event, the U.S. subsidiary might have difficulty earning enough in dollars to
meet the debt service. The German parent could issue Eurodollar bonds (or alternatively,
Yankee bonds in the U.S. capital market), but since it is not well known its borrowing cost
would be, say, a fixed rate of 9 percent.
A swap bank familiar with the financing needs of the two MNCs could arrange a currency
swap that would solve the double problem of each MNC, that is, be confronted with long-
term transaction exposure or borrow at a disadvantageous rate. (In order not to complicate
this example any more than is necessary, it is assumed that the bid and ask swap rates
charged by the swap bank are the same; that is, there is no bid-ask spread. This assumption is
relaxed in a later example.) The swap bank would instruct each parent firm to raise funds in
its national capital market where it is well known and has a comparative advantage
because of name or brand recognition.1

page 373

Exhibit 14.5 shows that if they do so there is a combined total of 2 percent that can be
saved or earned through the currency swap, 1 percent on the dollar notional amount, and 1
percent on the equivalent euro notional value. Initially, the principal sums would be
exchanged through the swap bank. Annually, the German subsidiary would remit to its U.S.
parent €2,400,000 in interest (6 percent of €40,000,000) to be passed through the swap bank
to the German MNC to meet the euro debt service. The U.S. subsidiary of the German MNC
would annually remit $4,160,000 in interest (8 percent of $52,000,000) to be passed through
the swap bank to the U.S. MNC to meet the dollar debt service. At the debt retirement date,
the subsidiaries would remit the principal sums to their respective parents to be exchanged
through the swap bank in order to pay off the bond issues in the national capital markets. The
structure of this currency swap is diagrammed in Exhibit 14.6.

EXHIBIT 14.5 Interest Savings from Comparative Advantage

U.S. MNC German MNC Difference

$ Finance 8% 9% −1%
€ Finance 7% 6% 1%
Total savings/earnings −2%

EXHIBIT 14.6 $/€ Currency Swap*

*Debt service in dollars (euros) expressed as a percentage of $52,000,000 (€40,000,000) notional value.

page 374

Exhibit 14.6 demonstrates that there is a cost savings for each counterparty because of
their relative comparative advantage in their respective national capital markets. The U.S.
MNC borrows euros at an all-in-cost (AIC) of 6 percent through the currency swap instead of
the 7 percent it would have to pay in the Eurobond market, thus saving 1 percent. The
German MNC borrows dollars at an AIC of 8 percent through the swap instead of the 9
percent rate it would have to pay in the Eurobond market, thus saving 1 percent. The
currency swap also serves to contractually lock in a series of future foreign exchange rates
for the debt service obligations of each counterparty. At inception, the principal sums are
exchanged at the current exchange rate of $1.30/€1.00 = $52,000,000/€40,000,000. Each year
prior to debt retirement, the swap agreement calls for the counterparties to exchange
$4,160,000 of interest on the dollar debt for €2,400,000 of interest on the euro debt; this is a
contractual rate of $1.7333/€1.00. At the maturity date, a final exchange, including the last
interest payments and the reexchange of the principal sums, would take place: $56,160,000
for €42,400,000. The contractual exchange rate at year five is thus $1.3245/€1.00. Clearly,
the swap locks in foreign exchange rates for each counterparty to meet its debt service
obligations over the term of the swap.

In More Depth

Equivalency of Currency Swap Debt Service

Obligations
To continue with our dollar–euro currency swap example, it superficially appears that the
German counterparty is not getting as good a deal from the currency swap as the U.S.
counterparty. The reasoning is that the German counterparty is borrowing at a rate of 6
percent (€2,400,000 per year) but paying 8 percent ($4,160,000). The U.S. counterparty
receives the $4,160,000 and pays €2,400,000. This reasoning is fraught with an ill
appreciation for international parity relationships, as Exhibit 14.7 is designed to show. In
short, the exhibit shows that borrowing euros at 6 percent is equivalent to borrowing dollars
at 8 percent.

EXHIBIT 14.7 Equivalency of Currency Swap Cash Flows

Note: Lines 1 and 5 present alternative cash flows in euros that have present values of €40,000,000 at a 6
percent discount rate. The cash flows in Line 1 are free of exchange risk if the swap is undertaken, whereas the
implicit cash flows of Line 5 are not if the swap is forgone. The certain cash flows are preferable. The uncertain
euro cash flows of Line 5 are obtained by dividing the dollar cash flows of Line 2 by the corresponding implicit FX
rate of Line 4. Analogously, Lines 2 and 6 present alternative cash flows in U.S. dollars that have present values
of $52,000,000 at an 8 percent discount rate. The cash flows in Line 2 are free of exchange risk if the swap is
undertaken, whereas the implicit cash flows of Line 6 are not if the swap is forgone. The certain cash flows are
preferable. The uncertain dollar cash flows of Line 6 are obtained by multiplying the euro cash flows of Line 1 by
the corresponding implicit FX rate of Line 4.

Line 1 of Exhibit 14.7 shows the cash flows of the euro debt in millions. Line 2 shows the
cash flows of the dollar debt in millions. The all-in-cost (AIC) for each cash flow stream is
also shown for each currency. Line 3 shows the contractual foreign exchange rates between
the two counterparties that are locked in by the swap agreement. Line 4 shows the foreign
exchange rate that each counterparty and the market should expect based on covered interest
rate parity and the forward rate being an unbiased predictor of the expected spot rate, if we
can assume that IRP holds between the 6 percent euro rate and the 8 percent dollar rate. This
appears reasonable since these rates are, respectively, the best rates available for each
counterparty who is well known in its national market. According to this parity page 375
relationship: For example, from the exhibit $1.350/€1.00 =
$1.30[1.08/1.06]2.
Line 5 shows the equivalent cash flows in euros that have a present value of €40,000,000
at a rate of 6 percent. Without the currency swap, the German MNC would have to convert
dollars into euros to meet the euro debt service. The expected rate at which the conversion
would take place in each year is given by the implicit foreign exchange rates in Line 4. Line
5 can be viewed as a conversion of the cash flows of Line 2 via the implicit exchange rates of
Line 4. That is, for year one, $4,160,000 has an expected value of €3,140,000 at the expected
exchange rate of $1.325/€1.00. For year two, $4,160,000 has an expected value of
€3,080,000 at an exchange rate of $1.350/€1.00. Note that the conversion at the implicit
exchange rates converts 8 percent cash flows into 6 percent cash flows.
The lender of €40,000,000 should be indifferent between receiving the cash flows of Line
1 or the cash flows of Line 5 from the borrower. From the borrower’s standpoint, however,
the cash flows of Line 1 are free of foreign exchange risk because of the currency swap,
whereas the cash flows of Line 5 are not. Thus, the borrower prefers the certainty of the
swap, regardless of the equivalency.
Line 6 shows in dollar terms the cash flows based on the implicit foreign exchange rates of
Line 4 that have a present value of $52,000,000. Line 6 can be viewed as a conversion of the
6 percent cash flows of Line 1 into the 8 percent cash flows of Line 6 via these expected
exchange rates. A lender should be indifferent between these and the cash flow stream of
Line 2. The borrower will prefer to pay the cash flows of Line 2, however, because they are
free of foreign exchange risk.

Pricing the Basic Currency Swap

Suppose that a year after the U.S. dollar–euro swap was arranged, interest rates have
decreased in the United States from 8 percent to 6.75 percent and in the euro zone from 6
percent to 5 percent. Further assume that because the U.S. rate decreased proportionately
more than the euro zone rate, the dollar appreciated versus the euro. Instead of being
$1.325/€1.00 as expected, it is $1.310/€1.00. One or both counterparties might be induced to
sell their position in the swap to a swap dealer in order to refinance at the new lower rate.
The market value of the U.S. dollar debt is $54,214,170; this is the present value of the
four remaining coupon payments of $4,160,000 and the principal of $52,000,000 discounted
at 6.75 percent. Similarly, the market value of the euro debt at the new rate of 5 percent is
€41,418,380. The U.S. counterparty should be willing to buy its interest in the currency swap
for $54,214,170 − €41,418,380 × 1.310 = − $43,908. That is, the U.S. counterparty should be
willing to pay $43,908 to give up the stream of dollars it would receive under the swap
agreement in return for not having to pay the euro stream. The U.S. MNC is then free to
refinance the $52,000,000 8 percent debt at 6.75 percent, and perhaps enter into a new
currency swap.
From the German counterparty’s perspective, the swap has a value of €41,418,380 −
$54,214,170/1.310 = €33,517. The German counterparty should be willing to accept €33,517
to sell the swap, that is, give up the stream of euros in return for not having to pay the dollar
stream. The German MNC is then in a position to refinance the €40,000,000 6 percent debt at
the new rate of 5 percent. The German firm might also enter into a new currency swap.

A Basic Currency Swap Reconsidered

As a more realistic example of a basic currency swap, it is necessary to recognize the bid-ask
spread that the swap bank charges for making a market in currency swaps. To extend our
earlier example, assume that the swap bank is quoting five-year U.S. dollar (euro) currency
swaps at 8.00–8.15 (6.00–6.10) percent against dollar LIBOR flat. Additionally, and more
realistically, assume that the swap bank can deal with the U.S. MNC and the German MNC
separately. Then the principal sums raised in the national capital markets by the U.S. MNC
($52,000,000) and the German MNC (€40,000,000) would be sold to the swap bank at the
current spot rate of $1.30/€1.00 to obtain the desired currency, €40,000,000 for the U.S.
MNC and $52,000,000 for the German MNC. The German subsidiary would page 376
annually remit €2,440,000 in interest (6.10 percent of €40,000,000) to its U.S.
parent to be passed through to the swap bank. The swap bank, in turn, annually remits
€2,400,000 (6 percent of €40,000,000) to the German MNC in order for it to meet the euro
debt service. The U.S. subsidiary would annually remit $4,238,000 in interest (8.15 percent
of $52,000,000) to its German parent to be passed through to the swap bank. The swap bank,
in turn, annually remits $4,160,000 (8 percent of $52,000,000) to the U.S. MNC in order for
it to meet the annual dollar debt service. At the debt retirement date, the subsidiaries would
additionally remit the principal sums to their respective parents (dollars from the U.S.
subsidiary of the German MNC and euros from the German subsidiary of the U.S. MNC) to
be exchanged through the swap bank in order to pay off the bond issues in the national
capital markets. The net result is that the U.S. MNC borrows euros at an AIC of 6.10 percent
through the currency swap instead of the 7 percent rate it would have to pay in the Eurobond
market, thus saving .90 percent. The German MNC borrows dollars at an AIC of 8.15 percent
through the swap instead of the 9 percent rate it would have to pay in the Eurobond market
thus, saving .85 percent. For its services, the swap bank earns .10 percent on euro notional
value and .15 percent on dollar notional value. Exhibit 14.8 diagrams this swap. Note that a
combined total of 2 percent of savings/earnings is realized by the two page 377
counterparties and the swap bank, as shown in Exhibit 14.5.

EXHIBIT 14.8 $/€ Currency Swap with Bid-Ask Spreads

*Debt service in dollars (euros) expressed as a percentage of $52,000,000 (€40,000,000) notional value.

Exhibit 14.9 presents a printout of the results from using the text software spreadsheet
CURSWAP to solve for the AIC from the perspective of the German MNC. The spreadsheet
shows the actual dollar cash flows the German MNC pays under the swap at the AIC of 8.15
percent and the euro cash flows received at 6 percent. (Note that for simplicity the coupon
rate on the euro bond is the same as the swap bank’s bid rate for five-year euro currency
swaps, the FX rate is restated in European terms as .76923 = 1/1.30, the FX bid-ask spread is
ignored, there is no underwriting fee, and the euro bond is assumed to sell at par.)

EXHIBIT 14.9 Cross-Currency Swap Analyzer, CURSWAP.xls Output

Variations of Basic Interest Rate and Currency Swaps
There are several variants of the basic interest rate and currency swaps we have discussed.
For example, a fixed-for-floating interest rate swap does not require a fixed-rate coupon
bond. A variant is a zero-coupon-for-floating rate swap where the floating-rate payer makes
the standard periodic floating-rate payments over the life of the swap, but the fixed-rate payer
makes a single payment at the end of the swap. Another variation is the floating-for-floating
interest rate swap. In this swap, each side is tied to a different floating rate index (e.g.,
LIBOR and Treasury bills) or a different frequency of the same index (such as three-month
and six-month LIBOR). For a swap to be possible, a QSD must still exist. Additionally,
interest rate swaps can be established on an amortizing basis, where the debt service
exchanges decrease periodically through time as the hypothetical notional principal is
amortized. Currency swaps need not involve the swap of fixed-rate debt. Fixed-for-floating
and floating-for-floating currency rate swaps are also frequently arranged. Additionally,
amortizing currency swaps incorporate an amortization feature in which periodically the
amortized portions of the notional principals are reexchanged.

page 378

Risks of Interest Rate and Currency Swaps

Some of the major risks that a swap dealer confronts are discussed here.
 Interest-rate risk refers to the risk of interest rates changing unfavorably before the swap
bank can lay off on an opposing counterparty the other side of an interest rate swap entered
into with a counterparty. As an illustration, reconsider the interest rate swap example outlined
in Exhibit 14.4. To recap, in that example, the swap bank earns a spread of .125 percent.
Company B passes through to the swap bank 10.50 percent per annum (on the notional
principal of $10,000,000) and receives LIBOR percent in return. Bank A passes through to
the swap bank LIBOR percent and receives 10.375 percent in return. Suppose the swap bank
entered into the position with Company B first. If fixed rates increase substantially, say, by
.50 percent, Bank A will not be willing to enter into the opposite side of the swap unless it
receives, say, 10.875 percent. This would make the swap unprofitable for the swap bank.
Basis risk refers to a situation in which the floating rates of the two counterparties are not
pegged to the same index. Any difference in the indexes is known as the basis. For example,
one counterparty could have its FRNs pegged to LIBOR, while the other counterparty has its
FRNs pegged to the U.S. Treasury bill rate. In this event, the indexes are not perfectly
positively correlated and the swap may periodically be unprofitable for the swap bank. In our
example, this would occur if the Treasury bill rate was substantially larger than LIBOR and
the swap bank receives LIBOR from one counterparty and pays the Treasury bill rate to the
other.
Exchange-rate risk refers to the risk the swap bank faces from fluctuating exchange rates
during the time it takes for the bank to lay off a swap it undertakes with one counterparty
with an opposing counterparty.
Credit risk refers to the probability that a counterparty, or even the swap bank, will
default. These days a central clearing party stands between the swap dealer and each
counterparty, guaranteeing fulfillment of both sides of an interest rate swap but not a
currency swap.
Mismatch risk refers to the difficulty of finding an exact opposite match for a swap the
bank has agreed to take. The mismatch may be with respect to the size of the principal sums
the counterparties need, the maturity dates of the individual debt issues, or the debt service
dates. Textbook illustrations typically ignore these real-life problems.
Sovereign risk refers to the probability that a country will impose exchange restrictions on
a currency involved in a swap. This may make it very costly, or perhaps impossible, for a
counterparty to fulfill its obligation to the dealer. In this event, provisions exist for
terminating the swap, which results in a loss of revenue for the swap bank.

Is the Swap Market Efficient?

The two primary reasons for a counterparty to use a currency swap are to obtain debt
financing in the swapped currency at an interest cost reduction brought about through
comparative advantages each counterparty has in its national capital market, and/or the
benefit of hedging long-run exchange rate exposure. These reasons seem straightforward and
 difficult to argue with, especially to the extent that name recognition is truly important in
raising funds in the international bond market.
The two primary reasons for swapping interest rates are to better match maturities of
assets and liabilities and/or to obtain a cost savings via a positive quality spread differential.
In an efficient market without barriers to capital flows, the cost-savings argument through a
QSD is difficult to accept. It implies that an arbitrage opportunity exists because of some
mispricing of the default risk premiums on different types of debt instruments. If the positive
QSD is one of the primary reasons for the existence of interest rate swaps, one would expect
arbitrage to eliminate it over time and that the growth of the swap market would page 379
decrease. Quite the contrary has happened as Exhibit 14.1 shows; growth in
interest rate swaps has been extremely large in recent years. Thus, the arbitrage argument
does not seem to have much merit. Consequently, one must rely on an argument of market
completeness for the existence and growth of interest rate swaps. That is, all types of debt
instruments are not regularly available for all borrowers. Thus, the interest rate swap market
assists in tailoring financing to the type desired by a particular borrower. Both counterparties
can benefit (as well as the swap dealer) through financing that is more suitable for their asset
maturity structures.

SUMMARY

This chapter provides a presentation of currency and interest rate swaps. The discussion
details how swaps might be used and the risks associated with each.
1. The chapter opened with definitions of an interest rate swap and a currency swap. The
basic interest rate swap is a fixed-for-floating rate swap in which one counterparty
exchanges the interest payments of a fixed-rate debt obligation for the floating-interest
payments of the other counterparty. Both debt obligations are denominated in the same
currency. In a currency swap, one counterparty exchanges the debt service obligations of a
bond denominated in one currency for the debt service obligations of the other
counterparty, which are denominated in another currency.
2. The function of a swap bank was discussed. A swap bank is a generic term to describe a
financial institution that facilitates the swap between counterparties. The swap bank serves
as either a broker or a dealer. When serving as a broker, the swap bank matches
counterparties, but does not assume any risk of the swap. When serving as a dealer, the
swap bank stands willing to accept either side of a currency swap.
3. An example of a basic interest rate swap was presented. It was noted that a necessary
condition for a swap to be feasible was the existence of a quality spread differential
between the default-risk premiums on the fixed-rate and floating-rate interest rates of the
two counterparties. Additionally, it was noted that there was not an exchange of principal
sums between the counterparties to an interest rate swap because both debt issues were
 denominated in the same currency. Interest rate exchanges were based on a notional
principal.
4. Pricing an interest rate swap after inception was illustrated. It was shown that after
inception, the value of an interest rate swap to a counterparty should be the difference in
the present values of the payment streams the counterparty will receive and pay on the
notional principal.
5. A detailed example of a basic currency swap was presented. It was shown that the debt
service obligations of the counterparties in a currency swap are effectively equivalent to
one another in cost. Nominal differences can be explained by the set of international parity
relationships.
6. Pricing a currency swap after inception was illustrated. It was shown that after inception,
the value of a currency swap to a counterparty should be the difference in the present
values of the payment stream the counterparty will receive in one currency and pay in the
other currency, converted to one or the other currency denomination.
7. In addition to the basic fixed-for-floating interest rate swap and fixed-for-fixed currency
swap, many other variants exist. One variant is the amortizing swap, which incorporates an
amortization of the notional principles. Another variant is a zero-coupon-for- page 380
floating rate swap in which the floating-rate payer makes the standard periodic
floating-rate payments over the life of the swap, but the fixed-rate payer makes a single
payment at the end of the swap. Another is the floating-for-floating rate swap. In this type
of swap, each side is tied to a different floating-rate index or a different frequency of the
same index.
8. Reasons for the development and growth of the swap market were critically examined. It
was argued that one must rely on an argument of market completeness for the existence
and growth of interest rate swaps. That is, the interest rate swap market assists in tailoring
financing to the type desired by a particular borrower when all types of debt instruments
are not regularly available to all borrowers.

KEY WORDS
all-in cost, 371
comparative advantage, 372
counterparties, 365
cross-currency interest rate swap, 365
currency swap, 365
market completeness, 379
notional principal, 366
quality spread differential (QSD), 370
single-currency interest rate swap, 365
 swap bank, 367
swap broker, 367
swap dealer, 367

QUESTIONS
1. Describe the difference between a swap broker and a swap dealer.
2. What is the necessary condition for a fixed-for-floating interest rate swap to be possible?
3. Discuss the basic motivations for a counterparty to enter into a currency swap.
4. How does the theory of comparative advantage relate to the currency swap market?
5. Discuss the risks confronting an interest rate and currency swap dealer.
6. Briefly discuss some variants of the basic interest rate and currency swaps diagrammed in
the chapter.
7. If the cost advantage of interest rate swaps would likely be arbitraged away in competitive
markets, what other explanations exist to explain the rapid development of the interest rate
swap market?
8. Suppose Morgan Guaranty, Ltd. is quoting swap rates as follows: 7.75–8.10 percent
annually against six-month dollar LIBOR for dollars and 11.25–11.65 percent annually
against six-month dollar LIBOR for British pound sterling. At what rates will Morgan
Guaranty enter into a $/£ currency swap?

9. A U.S. company needs to raise €50,000,000. It plans to raise this money by issuing dollar-
denominated bonds and using a currency swap to convert the dollars to euros. The
company expects interest rates in both the United States and the euro zone to fall.
a. Should the swap be structured with interest paid at a fixed or a floating rate?
b. Should the swap be structured with interest received at a fixed or a floating rate?
10. Assume a currency swap in which two counterparties of comparable credit risk each
borrow at the best rate available, yet the nominal rate of one counterparty is higher than
the other. After the initial principal exchange, is the counterparty that is required to make
interest payments at the higher nominal rate at a financial disadvantage to the other in the
swap agreement? Explain your thinking.

page 381

PROBLEMS
1. Alpha and Beta Companies can borrow for a five-year term at the following rates:
 Alpha Beta
Moody’s credit rating Aa Baa
Fixed-rate borrowing 10.5% 12.0%
cost
Floating-rate LIBOR LIBOR
borrowing cost + 1%
a. Calculate the quality spread differential (QSD).
b. Develop an interest rate swap in which both Alpha and Beta have an equal cost savings in
their borrowing costs. Assume Alpha desires floating-rate debt and Beta desires fixed-rate
debt. No swap bank is involved in this transaction.
2. Do problem 1 over again, this time assuming more realistically that a swap bank is
involved as an intermediary. Assume the swap bank is quoting five-year dollar interest rate
swaps at 10.7–10.8 percent against LIBOR flat.
3. Company A is an AAA-rated firm desiring to issue five-year FRNs. It finds that it can
issue FRNs at six-month LIBOR + .125 percent or at three-month LIBOR + .125 percent.
Given its asset structure, three-month LIBOR is the preferred index. Company B is an A-
rated firm that also desires to issue five-year FRNs. It finds it can issue at six-month
LIBOR + 1.0 percent or at three-month LIBOR + .625 percent. Given its asset structure,
six-month LIBOR is the preferred index. Assume a notional principal of $15,000,000.
Determine the QSD and set up a floating-for-floating rate swap where the swap bank
receives .125 percent and the two counterparties share the remaining savings equally.
4. A corporation enters into a five-year interest rate swap with a swap bank in which it agrees
to pay the swap bank a fixed rate of 9.75 percent annually on a notional amount of
€15,000,000 and receive LIBOR. As of the second reset date, determine the price of the
swap from the corporation’s viewpoint assuming that the fixed-rate side of the swap has
increased to 10.25 percent.

5. DVR Inc. can borrow dollars for five years at a coupon rate of 2.75 percent. Alternatively,
it can borrow yen for five years at a rate of .85 percent. The five-year yen swap rates are
0.64–0.70 percent and the dollar swap rates are 2.41–2.44 percent. The currency ¥/$
exchange rate is 87.575. Determine the dollar AIC and the dollar cash flow that DVR
would have to pay under a currency swap where it borrows ¥1,750,000,000 and swaps the
debt service into dollars. This problem can be solved using the Excel spreadsheet
CURSWAP.xls.

6. Karla Ferris, a fixed income manager at Mangus Capital Management, expects the current
positively sloped U.S. Treasury yield curve to shift parallel upward.
 Ferris owns two $1,000,000 corporate bonds maturing on June 15, 2020, one with a
variable rate based on six-month U.S. dollar LIBOR and one with a fixed rate. Both yield
50 basis points over comparable U.S. Treasury market rates, have very similar credit
quality, and pay interest semiannually.
Ferris wishes to execute a swap to take advantage of her expectation of a yield curve shift
and believes that any difference in credit spread between LIBOR and U.S. Treasury market
rates will remain constant.
a. Describe a six-month U.S. dollar LIBOR-based swap that would allow Ferris to take
advantage of her expectation. Discuss, assuming Ferris’s expectation is correct, the change
in the swap’s value and how that change would affect the value of her portfolio. [No
calculations required to answer part a.]
Instead of the swap described in part a, Ferris would use the following alternative
derivative strategy to achieve the same result.
page 382
b. Explain, assuming Ferris’s expectation is correct, how the following strategy achieves the
same result in response to the yield curve shift. [No calculations required to answer part
b.]

Settlement Nominal Eurodollar

Date Futures Contract Value
12-15-18 $1,000,000
03-15-19 $1,000,000
06-15-19 $1,000,000
09-15-19 $1,000,000
12-15-19 $1,000,000
03-15-20 $1,000,000
c. Discuss one reason these two derivative strategies provide the same result.

7. Rone Company asks Paula Scott, a treasury analyst, to recommend a flexible way to
manage the company’s financial risks.
Two years ago, Rone issued a $25 million (U.S.$), five-year floating-rate note (FRN). The
FRN pays an annual coupon equal to one-year LIBOR plus 75 basis points. The FRN is
noncallable and will be repaid at par at maturity.
Scott expects interest rates to increase, and she recognizes that Rone could protect itself
against the increase by using a pay-fixed swap. However, Rone’s board of directors
prohibits both short sales of securities and swap transactions. Scott decides to replicate a
 pay-fixed swap using a combination of capital market instruments.
a. Identify the instruments needed by Scott to replicate a pay-fixed swap and describe the
required transactions.
b. Explain how the transactions in part a are equivalent to using a pay-fixed swap.

8. A company based in the United Kingdom has an Italian subsidiary. The subsidiary
generates €25,000,000 a year, received in equivalent semiannual installments of
€12,500,000. The British company wishes to convert the euro cash flows to pounds twice a
year. It plans to engage in a currency swap in order to lock in the exchange rate at which it
can convert the euros to pounds. The current exchange rate is €1.5/£. The fixed rate on a
plain vanilla currency swap in pounds is 7.5 percent per year, and the fixed rate on a plain
vanilla currency swap in euros is 6.5 percent per year.
a. Determine the notional principals in euros and pounds for a swap with semi-annual
payments that will help achieve the objective.
b. Determine the semiannual cash flows from this swap.

9. Ashton Bishop is the debt manager for World Telephone, which needs €3.33 billion Euro
financing for its operations. Bishop is considering the choice between issuance of debt
denominated in:
Euros (€), or
U.S. dollars, accompanied by a combined interest rate and currency swap.

a. Explain one risk World would assume by entering into the combined interest rate and
currency swap.
Bishop believes that issuing the U.S.-dollar debt and entering into the swap can lower
World’s cost of debt by 45 basis points. Immediately after selling the debt issue, World
would swap the U.S. dollar payments for Euro payments throughout the maturity of the
debt. She assumes a constant currency exchange rate throughout the tenor of the swap.
page 383
Exhibit 1 gives details for the two alternative debt issues. Exhibit 2 provides current
information about spot currency exchange rates and the three-year tenor euro/U.S. dollar
currency and interest rate swap.

EXHIBIT 1 World Telephone Debt Details

Characteristic Euro Currency Debt U.S. Dollar Currency Debt

Par value €3.33 billion $3 billion
 Term to maturity 3 years 3 years
Fixed interest rate 6.25% 7.75%
Interest payment Annual Annual

EXHIBIT 2 Currency Exchange Rate and Swap Information

Spot currency exchange rate $0.90 per euro ($0.90/€1.00)

3-year tenor euro/U.S. dollar fixed interest rates 5.80% euro/7.30% U.S. dollar

b. Show the notional principal and interest payment cash flows of the combined interest rate
and currency swap.
Note: Your response should show both the correct currency ($ or €) and amount for each
cash flow.
Answer problem b in the template provided.
Template for problem b

c. State whether or not World would reduce its borrowing cost by issuing the debt
denominated in U.S. dollars, accompanied by the combined interest rate and currency
swap. Justify your response with one reason.

INTERNET EXERCISES

The website www.finpipe.com/interest-rate-swaps provides a brief description of interest rate

swaps. Links at the bottom of the screen lead to other descriptions of derivative products,
including currency swaps and other types of swaps that you will find interesting. It is a good
idea to bookmark this site for future reference. Use it now to see how well you understand
interest rate and currency swaps. If you cannot follow the discussions, go back and reread
Chapter 14.

page 384

MINI CASE

The Centralia Corporation’s Currency Swap

The Centralia Corporation is a U.S. manufacturer of small kitchen electrical

appliances. It has decided to construct a wholly owned manufacturing facility in
Zaragoza, Spain, to manufacture microwave ovens for sale in the European
Union. The plant is expected to cost €5,500,000, and to take about one year to
complete. The plant is to be financed over its economic life of eight years. The
borrowing capacity created by this capital expenditure is $2,900,000; the
remainder of the plant will be equity financed. Centralia is not well known in the
Spanish or international bond market; consequently, it would have to pay 7
percent per annum to borrow euros, whereas the normal borrowing rate in the
euro zone for well-known firms of equivalent risk is 6 percent. Alternatively,
Centralia can borrow dollars in the United States at a rate of 8 percent.

Study Questions

1. Suppose a Spanish MNC has a mirror-image situation and needs

$2,900,000 to finance a capital expenditure of one of its U.S. subsidiaries. It
finds that it must pay a 9 percent fixed rate in the United States for dollars,
whereas it can borrow euros at 6 percent. The exchange rate has been
forecast to be $1.33/€1.00 in one year. Set up a currency swap that will
benefit each counterparty.
2. Suppose that one year after the inception of the currency swap between
Centralia and the Spanish MNC, the U.S. dollar fixed rate has fallen from 8
to 6 percent and the euro zone fixed rate for euros has fallen from 6 to 5.5
percent. In both dollars and euros, determine the market value of the swap if
the exchange rate is $1.3343/€1.00.

1From
a conceptual standpoint, this implies that even though the two counterparties are of equivalent
creditworthiness, market imperfections based on a lack of name or brand recognition for each counterparty
outside its home country causes there to be a difference in interest rates between the two counterparties for
raising funds in the same currency.

Design element credits: Part opener, globe icon, and internet icon: McGraw-Hill; finance data concept:
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