Exam 14: Interest Rate and Currency Swaps

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Suppose the quote for a five-year swap with semiannual payments is 8.50−8.60 percent in dollars and 6.60−6.80 percent in euro against six-month dollar LIBOR.This means

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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\% Act as a swap bank and quote bid and ask prices to A and B that are attractive to A and B and promise to make at least 20bp for your firm.                   USD                                          EURO                       bid                 ask                          bid                 ask

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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}

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 $60 million for 2 years.Their borrowing opportunities are as shown,both firms have AAA credit ratings. \ £ A \ 6\% £5\% B \7 \% £4\% The IRP 1-year and 2-year forward exchange rates are F1F _ { 1 } ($ ∣ £)= $2.00×(1.06)£1.00×(1.04)\frac { \$ 2.00 \times ( 1.06 ) } { £ 1.00 \times ( 1.04 ) } = $2.0385£1.00\frac { \$ 2.0385 } { £ 1.00 } F2F _ { 2 } ($ ∣ £)= $2.00×(1.06)2£1.00×(1.04)2\frac { \$ 2.00 \times ( 1.06 ) ^ { 2 } } { £ 1.00 \times ( 1.04 ) ^ { 2 } } = $2.0777£1.00\frac { \$ 2.0777 } { £ 1.00 } USD pounds Bid Ask Bid Ask 6\% 6.1\% 4\% 4.1\% Explain how firm A could use two of the swaps offered above to hedge its exchange rate risk.

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Firm A could agree to a swap at the pound ask price,agreeing to pay 4.1 percent to the swap bank in exchange for receiving USD LIBOR while at the same time agreeing to a USD swap at the bid price,agreeing to pay USD LIBOR in exchange for receiving $6 percent. Firm A could agree to a swap at the pound ask price,agreeing to pay 4.1 percent to the swap bank in exchange for receiving USD LIBOR while at the same time agreeing to a USD swap at the bid price,agreeing to pay USD LIBOR in exchange for receiving $6 percent.

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\% Explain how this opportunity affects which swap firm B will be willing to participate in.

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An interest-only currency swap has a remaining life of 18 months.It involves exchanging interest at 14 percent on £20 million for interest at 10 percent on $14 million once a year.The term structure of interest rates is currently flat in both the U.S.and in the U.K.If the swap were negotiated today the interest rates exchanged would be $8 percent and £11 percent.All rates were quoted with annual compounding.The current exchange rate is $1.95 = £1.What is the value of the swap to the party paying dollars?

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When a swap bank serves as a dealer,

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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\% Explain how this opportunity affects which swap firm A will be willing to participate in.

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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\% A swap bank proposes the following interest-only swap: Company X will pay the swap bank annual payments on $10,000,000 at an interest rate of $9.80 percent; in exchange the swap bank will pay to company X interest payments on £5,000,000 at a fixed rate of 10.5 percent.Y will pay the swap bank interest payments on £5,000,000 at a fixed rate of 12.80 percent and the swap bank will pay Y annual payments on $10,000,000 with the coupon rate of 12 percent.  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:  \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}  A swap bank proposes the following interest-only swap: Company X will pay the swap bank annual payments on $10,000,000 at an interest rate of $9.80 percent; in exchange the swap bank will pay to company X interest payments on £5,000,000 at a fixed rate of 10.5 percent.Y will pay the swap bank interest payments on £5,000,000 at a fixed rate of 12.80 percent and the swap bank will pay Y annual payments on $10,000,000 with the coupon rate of 12 percent.   If company X takes on the swap,what external actions should they engage in? If company X takes on the swap,what external actions should they engage in?

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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\% If firm A could use the forward exchange markets to redenominate a 2-year $60m 6 percent USD loan into a 2-year pound denominated loan,what would be the interest rate?

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Consider the borrowing rates for Parties A and B.A wants to finance a $100,000,000 project at a fixed rate.B wants to finance a $100,000,000 project at a floating rate.Both firms want the same maturity,5 years. FinI Fixed Rate Floating A \ 10.3\% Prime +1\% B \ 8.9\% Prime +1/2\% For your swap (the one you have shown above)how would the swap bank quote the swap against prime? (Hint: they are quoting a bid-ask spread against "flat" prime.)

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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\% Devise a direct swap for A and B that has no swap bank.Show their external borrowing.  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.   \begin{array} { l l l }  & \$ & € \\ \text { A } & \$ 7 \% & € 6 \% \\ B & \$8 \% & € 5\% \end{array}  Devise a direct swap for A and B that has no swap bank.Show their external borrowing.

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A swap bank has identified two companies with mirror-image financing needs-they both want to borrow equivalent amounts for the same amount of time.Company X has agreed to one leg of the swap but company Y is "playing hard to get."

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A swap bank makes the following quotes for 5-year swaps and AAA-rated firms: USD Euro Bid Ask Bid Ask 5\% 5.2\% 7\% 7.2\%

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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\% A swap bank is involved and quotes the following rates five-year dollar interest rate swaps at 10.05 percent?10.45 percent against LIBOR flat.  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:  \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}  A swap bank is involved and quotes the following rates five-year dollar interest rate swaps at 10.05 percent?10.45 percent against LIBOR flat.   Assume both X and Y agree to the swap bank's terms.Fill in the values for A,B,C,D,E,& F on the diagram. Assume both X and Y agree to the swap bank's terms.Fill in the values for A,B,C,D,E,& F on the diagram.

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Find the all-in-cost of a swap to a party that has agreed to borrow $5 million at 5 percent externally and pays LIBOR + ½ percent on a notational principal of $5 million in exchange for fixed rate payments of 6 percent.

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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\% Explain how this opportunity affects which swap firm A will be willing to participate in.

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Suppose that the swap that you proposed is now 4 years old (i.e.,there is exactly one year to go on the swap).The fourth payment has already been made.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.

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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\% 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; in exchange the swap bank will pay to company X interest payments on $10,000,000 at a fixed rate of 10.05 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.  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:  \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}  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; in exchange the swap bank will pay to company X interest payments on $10,000,000 at a fixed rate of 10.05 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? What is the value of this swap to the swap bank?

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Compute the payments due in the second year on a three-year amortizing swap from company B to company A.Company A and company B both want to borrow £1,000,000 for three years.A wants to borrow floating and B wants to borrow fixed.A and B agree to split the QSD. Fixed-Rate Borrowirg Floatirig-Rate Bort owirig Cost Cost Compary A 10\% LIBOR Compary B 12\% LIBOR+1.5\%

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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 $60 million for 2 years.Their borrowing opportunities are as shown,both firms have AAA credit ratings. \ £ A \ 6\% £5\% B \7 \% £4\% The IRP 1-year and 2-year forward exchange rates are F1F _ { 1 } ($ ∣ £)= $2.00×(1.06)£1.00×(1.04)\frac { \$ 2.00 \times ( 1.06 ) } { £ 1.00 \times ( 1.04 ) } = $2.0385£1.00\frac { \$ 2.0385 } { £ 1.00 } F2F _ { 2 } ($ ∣ £)= $2.00×(1.06)2£1.00×(1.04)2\frac { \$ 2.00 \times ( 1.06 ) ^ { 2 } } { £ 1.00 \times ( 1.04 ) ^ { 2 } } = $2.0777£1.00\frac { \$ 2.0777 } { £ 1.00 } USD pounds Bid Ask Bid Ask 6\% 6.1\% 4\% 4.1\% Explain how this opportunity affects which swap firm B will be willing to participate in.

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