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International Financial Management Study Set 5
Exam 14: Interest Rate and Currency Swaps
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Question 81
Multiple Choice
XYZ Corporation enters into a 6-year interest rate swap with a swap bank in which it agrees to pay the swap bank a fixed-rate of 9 percent annually on a notional amount of SFr10,000,000 and receive LIBOR −½ percent.As of the third reset date (i.e.,midway through the 6-year agreement) ,calculate the price of the swap,assuming that the fixed-rate at which XYZ can borrow has increased to 10 percent.
Question 82
Multiple Choice
Which combination of the following represent the risks that a swap dealer confronts. (i) interest rate risk (ii) basis risk (iii) exchange rate risk (iv) political risk (v) sovereign risk
Question 83
Multiple Choice
Suppose that you are a swap bank and you notice that interest rates on zero coupon bonds are as shown.Develop the 3-year bid price of a euro swap quoted against flat USD LIBOR.
Zero Rates
1
-year
2-year
3
-year
USD
$
3
%
$
4
%
$
5
%
Euro
€
2
%
€
3
%
€
4
%
\begin{array}{lccc}\text { Zero Rates } & 1 \text {-year } & \text { 2-year } & 3 \text {-year } \\\text { USD } & \$ 3 \% & \$ 4 \% & \$ 5 \% \\\text { Euro } & € 2 \% & € 3 \% & € 4 \%\end{array}
Zero Rates
USD
Euro
1
-year
$3%
€2%
2-year
$4%
€3%
3
-year
$5%
€4%
In other words,what will you be willing to pay in euro against receiving USD LIBOR?
Question 84
Multiple Choice
Company X wants to borrow $10,000,000 floating for 5 years; company Y wants to borrow $10,000,000 fixed for 5 years.Their external borrowing opportunities are shown here:
Fixed-Rate
Floating-Rate
Borrowing Cost
Bortowing Cost
Compary X
10
%
LIBOR
Compary Y
12
%
LIBOR
+
1.5
%
\begin{array} { c c c } & \text { Fixed-Rate } & \text { Floating-Rate } \\&\text { Borrowing Cost } & \text { Bortowing Cost } \\\text { Compary X } & 10 \% & \text { LIBOR } \\\text { Compary Y } & 12 \% & \text { LIBOR } + 1.5 \%\end{array}
Compary X
Compary Y
Fixed-Rate
Borrowing Cost
10%
12%
Floating-Rate
Bortowing Cost
LIBOR
LIBOR
+
1.5%
Design a mutually beneficial interest only swap for X and Y with a notational principal of $10 million by having appropriate values for; A = Company X's external borrowing rate B = Company Y's payment to X (rate) C = Company X's payment to Y (rate) D = Company Y's external borrowing rate
A.A = 10%; B = 11.75%; C = LIBOR - .25%; D = LIBOR + 1.5% B.A = 10%; B = 10%; C = LIBOR - .25%; D = LIBOR + 1.5% C.A = LIBOR; B = 10%; C = LIBOR - .25%; D = 12% D.A = LIBOR; B = LIBOR; C = LIBOR - .25%; D = 12%
Question 85
Multiple Choice
A major risk faced by a swap dealer is exchange rate risk.This is
Question 86
Essay
Consider the situation of firm A and firm B.The current exchange rate is $2.00/£ Firm A is a U.S.MNC and wants to borrow £30 million for 2 years.Firm B is a British MNC and wants to borrow $60 million for 2 years.Their borrowing opportunities are as shown,both firms have AAA credit ratings.
$
£
A
$
6
%
£
5
%
B
$
7
%
£
4
%
\begin{array} { l l l } & \$ & £ \\\text { A } & \$ 6 \% & £5 \% \\B & \$7 \% & £ 4\%\end{array}
A
B
$
$6%
$7%
£
£5%
£4%
The IRP 1-year and 2-year forward exchange rates are
F
1
F _ { 1 }
F
1
($ ∣ £)=
$
2.00
×
(
1.06
)
£
1.00
×
(
1.04
)
\frac { \$ 2.00 \times ( 1.06 ) } { £ 1.00 \times ( 1.04 ) }
£1.00
×
(
1.04
)
$2.00
×
(
1.06
)
=
$
2.0385
£
1.00
\frac { \$ 2.0385 } { £ 1.00 }
£1.00
$2.0385
F
2
F _ { 2 }
F
2
($ ∣ £)=
$
2.00
×
(
1.06
)
2
£
1.00
×
(
1.04
)
2
\frac { \$ 2.00 \times ( 1.06 ) ^ { 2 } } { £ 1.00 \times ( 1.04 ) ^ { 2 } }
£1.00
×
(
1.04
)
2
$2.00
×
(
1.06
)
2
=
$
2.0777
£
1.00
\frac { \$ 2.0777 } { £ 1.00 }
£1.00
$2.0777
USD pounds
Bid
Ask
Bid
Ask
6
%
6.1
%
4
%
4.1
%
\begin{array} { c c c c } \text { Bid } & \text { Ask } & \text { Bid } & \text { Ask } \\6\% & 6.1 \% & 4 \%& 4 .1\%\end{array}
Bid
6%
Ask
6.1%
Bid
4%
Ask
4.1%
Explain how firm B could use two of the swaps offered above to hedge its exchange rate risk.
Question 87
Essay
Suppose that the swap that you proposed is now 4 years old (i.e.,there is exactly one year to go on the swap).If the spot exchange rate prevailing in year 4 is $1.8778 = €1 and the 1-year forward exchange rate prevailing in year 4 is $1.95 = €1,what is the value of the swap to the party paying dollars? If the swap were initiated today the correct rates would be as shown.
Question 88
Essay
Consider the situation of firm A and firm B.The current exchange rate is $1.50/€.Firm A is a U.S.MNC and wants to borrow €40 million for 2 years.Firm B is a French MNC and wants to borrow $60 million for 2 years.Their borrowing opportunities are as shown; both firms have AAA credit ratings.
$
€
A
$
7
%
€
6
%
B
$
8
%
€
5
%
\begin{array} { l l l } & \$ & € \\\text { A } & \$ 7 \% & € 6 \% \\B & \$8 \% & € 5\%\end{array}
A
B
$
$7%
$8%
€
€6%
€5%
If firm B could use the forward exchange markets to redenominate a 2-year €40m 5 percent euro loan into a 2-year USD-denominated loan,what would be the interest rate?
Question 89
Multiple Choice
Company X wants to borrow $10,000,000 floating for 5 years; company Y wants to borrow $10,000,000 fixed for 5 years.Their external borrowing opportunities are shown here:
Fixed-Rate
Floating-Rate
Borrowing Cost
Bortowing Cost
Compary X
10
%
LIBOR
Compary Y
12
%
LIBOR
+
1.5
%
\begin{array} { c c c } & \text { Fixed-Rate } & \text { Floating-Rate } \\&\text { Borrowing Cost } & \text { Bortowing Cost } \\\text { Compary X } & 10 \% & \text { LIBOR } \\\text { Compary Y } & 12 \% & \text { LIBOR } + 1.5 \%\end{array}
Compary X
Compary Y
Fixed-Rate
Borrowing Cost
10%
12%
Floating-Rate
Bortowing Cost
LIBOR
LIBOR
+
1.5%
A swap bank proposes the following interest only swap: X will pay the swap bank annual payments on $10,000,000 with the coupon rate of LIBOR ? 0.15 percent; in exchange the swap bank will pay to company X interest payments on $10,000,000 at a fixed rate of 9.90 percent.Y will pay the swap bank interest payments on $10,000,000 at a fixed rate of 10.30 percent and the swap bank will pay Y annual payments on $10,000,000 with the coupon rate of LIBOR ? 0.15 percent.
What is the value of this swap to the swap bank?
Question 90
Multiple Choice
Consider a plain vanilla interest rate swap.Firm A can borrow at 8 percent fixed or can borrow floating at LIBOR.Firm B is somewhat less creditworthy and can borrow at 10 percent fixed or can borrow floating at LIBOR + 1 percent.Eun wants to borrow floating and Resnick prefers to borrow fixed.Both corporations wish to borrow $10 million for 5 years.Which of the following swaps is mutually beneficial to each party and meets their financing needs?
Question 91
Essay
Consider the situation of firm A and firm B.The current exchange rate is $2.00/£ Firm A is a U.S.MNC and wants to borrow £30 million for 2 years.Firm B is a British MNC and wants to borrow $60 million for 2 years.Their borrowing opportunities are as shown,both firms have AAA credit ratings.
$
£
A
$
6
%
£
5
%
B
$
7
%
£
4
%
\begin{array} { l l l } & \$ & £ \\\text { A } & \$ 6 \% & £5 \% \\B & \$7 \% & £ 4\%\end{array}
A
B
$
$6%
$7%
£
£5%
£4%
The IRP 1-year and 2-year forward exchange rates are
F
1
F _ { 1 }
F
1
($ ∣ £)=
$
2.00
×
(
1.06
)
£
1.00
×
(
1.04
)
\frac { \$ 2.00 \times ( 1.06 ) } { £ 1.00 \times ( 1.04 ) }
£1.00
×
(
1.04
)
$2.00
×
(
1.06
)
=
$
2.0385
£
1.00
\frac { \$ 2.0385 } { £ 1.00 }
£1.00
$2.0385
F
2
F _ { 2 }
F
2
($ ∣ £)=
$
2.00
×
(
1.06
)
2
£
1.00
×
(
1.04
)
2
\frac { \$ 2.00 \times ( 1.06 ) ^ { 2 } } { £ 1.00 \times ( 1.04 ) ^ { 2 } }
£1.00
×
(
1.04
)
2
$2.00
×
(
1.06
)
2
=
$
2.0777
£
1.00
\frac { \$ 2.0777 } { £ 1.00 }
£1.00
$2.0777
USD pounds
Bid
Ask
Bid
Ask
6
%
6.1
%
4
%
4.1
%
\begin{array} { c c c c } \text { Bid } & \text { Ask } & \text { Bid } & \text { Ask } \\6\% & 6.1 \% & 4 \%& 4 .1\%\end{array}
Bid
6%
Ask
6.1%
Bid
4%
Ask
4.1%
Explain how this opportunity affects which swap firm A will be willing to participate in.
Question 92
Multiple Choice
Company X wants to borrow $10,000,000 floating for 5 years; company Y wants to borrow £5,000,000 fixed for 5 years.The exchange rate is $2 = £1 and is not expected to change over the next 5 years.Their external borrowing opportunities are
$Bortowing
£ Borrowing
Cost
Cost
Compary X
$
10
%
£
10.5
%
Compary Y
$
12
%
£
13
%
\begin{array} { c c c } & \text { \$Bortowing } & \text { £ Borrowing } \\& \text { Cost } & \text { Cost } \\\text { Compary X } & \$ 10 \% & £ 10.5 \% \\\text { Compary Y } & \$ 12 \% & £ 13 \%\end{array}
Compary X
Compary Y
$Bortowing
Cost
$10%
$12%
£ Borrowing
Cost
£10.5%
£13%
A swap bank wants to design a profitable interest-only fixed-for-fixed currency swap.In order for X and Y to be interested,they can face no exchange rate risk.
What must the values of A and B in the graph shown above be in order for the swap to be of interest to firms X and Y?
Question 93
Multiple Choice
Consider the dollar- and euro-based borrowing opportunities of companies A and B.
€ borrowing
$
borrowing
A
€
7
%
$
8
%
B
€
6
%
$
9
%
\begin{array}{ccc} & € \text { borrowing } & \$ \text { borrowing } \\\mathrm{A} & € 7 \% & \$ 8 \% \\\mathrm{~B} & € 6 \% & \$ 9 \%\end{array}
A
B
€
borrowing
€7%
€6%
$
borrowing
$8%
$9%
A is a U.S.-based MNC with AAA credit; B is an Italian firm with AAA credit.Firm A wants to borrow €1,000,000 for one year and B wants to borrow $2,000,000 for one year.The spot exchange rate is $2.00 = €1.00 and the one-year forward rate is given by IRP as $2.00 × (1.08) /€1.00 × (1.06) = $2.0377/€1. Is there a mutually beneficial swap?
Question 94
Multiple Choice
Company X and company Y have mirror-image financing needs (they both want to borrow equivalent amounts for the same amount of time.Company X has a AAA credit rating,but company Y's credit standing is considerably lower.