International Financial Management - Bekaert 2e - Solutions - Ch21

精品文档 Chapter 21 Interest Rate and Foreign Currency Swaps QUESTIONS 1 How does an interest rate swap work In particular what is the notional principal Answer An interest rate swap is an agreement between counterparties that allows an MNC to change the nature of its debt from a fixed interest rate to a floating interest rate or from a floating interest rate to a fixed interest rate One counterparty to the basic interest rate swap pays a fixed amount of interest on a notional principal to the other counterparty which in turn is paying the floating interest rate cash flows on the same notional amount to the first counterparty The term notional indicates the basic principal amount on which the cash flows of the interest rate swap depend Unlike a currency swap no exchange of principal is necessary because the principal is an equal amount of the same currency Usually only a net interest payment is made depending upon whether the fixed interest rate stated in the swap is higher or lower than the floating interest rate 2 What is a currency swap Describe the structure of and rationale for its cash flows Answer A currency swap is essentially an agreement between two parties to exchange the cash flows of two long term bonds denominated in different currencies The parties exchange initial principal amounts in the two currencies that are equivalent in value when evaluated at the spot exchange rate Simultaneously the parties agree to pay interest on the currency they initially receive to receive interest on the currency they initially pay and to reverse the exchange of principal amounts at a fixed future date 3 What is a credit default swap What happens in the event of default Answer A credit default swap is essentially a bilateral insurance contract between a protection buyer and a protection seller to protect against default on a specific bond or loan issued by a corporation or sovereign the reference entity The protection buyer pays semi annual or annual insurance premiums to the protection seller In return when there is a default event the protection seller transfers value to the protection buyer Value is transferred either through physical settlement or cash settlement If there is physical settlement the protection buyer delivers the defaulted bond to the protection seller who pays the face amount of the referenced bond If there is cash settlement the protection seller pays the buyer the difference between the face value of the bond and the value of the defaulted bond 4 Banks quote interest rate and currency swaps using the 6 month LIBOR as a basis for both transactions How can a bank make money if it does not speculate on movements in either interest rates or exchange rates 精品文档 Answer Banks quote the fixed side of the swap with a bid ask spread When they pay the fixed rate side of the swap they do so at a lower rate than when they receive the fixed rate side of the swap from their counterparty Thus if they are able to balance the transactions being both a payer of the fixed rate and a receiver of the fixed rate for the same gross amounts they earn the bid ask spread This can be a substantial amount of money 5 What is the AIC of a bond issue Answer The all in cost AIC of a bond issue is the internal rate of return that equates the present value of all the future interest and principal payments to the net proceeds face value minus fees received by the issuer 6 What is a comparative advantage in borrowing and how could it arise Answer Comparative advantage in borrowing means that the ratio of the borrowing cost in one currency one plus the interest rate to the borrowing costs in another currency is not the same for two companies The company with the lower ratio has a comparative advantage in borrowing the numerator currency even though its absolute borrowing costs may be higher than the other company s costs in each currency Such differences imply that the companies should borrow in the currency in which they have a comparative advantage and swap into the currency of choice based on other considerations such as foreign exchange risk Comparative borrowing advantages arise because institutional differences across countries lead to debt pricing that is slightly different depending on the ultimate holder of the debt and its currency of denomination Some of these pricing differences are due to the different ways credit risks are analyzed around the world Essentially these differences amount to a market inefficiency that can be exploited for profit The result is that some companies can more easily issue debt in some currencies than in other currencies 7 What is basis point adjustment Why is it not appropriate simply to add the basis point differential associated with the first currency to the quoted swap rate that the firm will pay Answer If a customer wants the financial intermediary to do a currency swap in which the financial intermediary will pay the interest and principal on the customer s outstanding bond which has an interest rate that is different from the interest rate that the intermediary is quoting the financial intermediary will also have to adjust the basis points on the cash flows of the currency in the swap that the customer is paying One cannot simply add the additional basis points that the financial intermediary is paying to the rate that the customer will pay if the levels of the interest rates on the two currencies are different because a basis point in the future for a currency that is depreciating in value is worth less than a basis point in the future for a currency that is appreciating in value The correct procedure requires that one take the present value of the extra interest rate payments that the financial intermediary is paying in one currency convert that amount into the currency that the customer is paying with the spot exchange rate and determine the additional level payments of the new currency that would have that present value 8 Discuss the sense in which a 5 year currency swap is a sequence of long term forward contracts How do the implicit forward exchange rates in a currency swap differ from the long term forward exchange rates for those maturities 精品文档 Answer A 5 year currency swap is an agreement to exchange certain amounts of two currencies in the future which sounds very similar to a forward contract Unlike forward contracts though the amounts are the same for the first four years equal to the interest on the principals of the two currencies Then in the fifth year the interest and principals on the two currencies are exchanged The principals were originally equal in value at the original spot exchange rate but they will generally not be equal in value at the final spot exchange rate 9 What are the determinants of the value of a currency swap as time evolves Is it possible to close out a swap before it has reached maturity Answer When a swap is initiated the cash flows of two bonds in different currencies are agreed to be exchanged These bond like cash flows have the same present value at the current spot exchange rate Changes in the exchange rate obviously change the value of one side of the swap compared to the value of the other side of the swap In addition increases in interest rates decrease the present value of cash flows and decreases in interest rates increase the present value of cash flows Thus changes in interest rates and exchange rates give currency swaps value One side wins and the other loses It is possible to close out a swap by having the party that has lost money in the swap pay this value to the party that has gained value in the swap PROBLEMS 1 General Motors GM wants to swap out of 15 000 000 of fixed interest rate debt and into floating interest rate debt for 3 years Suppose the fixed interest rate is 8 625 and the floating rate is dollar LIBOR What semiannual interest payments will GM receive and what will GM pay in return Answer Because General Motors wants to swap out of the fixed interest rate debt into a floating interest rate debt it will receive the fixed interest rate side of the swap and it would pay the semi annual LIBOR Thus it would receive 6 semiannual payments of 0 5 0 08625 15 million 646 875 These payments would be fixed for 5 years Financial InstitutionGeneral Motors Time PeriodPays the Fixed Rate Receives the Floating Rate Receives the Fixed Rate Pays the Floating Rate Year 0 5 646 875 LIBOR 2 x 15 mill 646 875 LIBOR 2 x 15 mill Year 1 0 646 875 LIBOR 2 x 15 mill 646 875 LIBOR 2 x 15 mill Year 1 5 646 875 LIBOR 2 x 15 mill 646 875 LIBOR 2 x 15 mill Year 2 0 646 875 LIBOR 2 x 15 mill 646 875 LIBOR 2 x 15 mill Year 2 5 646 875 LIBOR 2 x 15 mill 646 875 LIBOR 2 x 15 mill Year 3 0 646 875 LIBOR 2 x 15 mill 646 875 LIBOR 2 x 15 mill Because the currency is the same only a net interest payment is actually transferred between the two parties That is the party with the higher interest rate pays the net interest payment to the party with the lower interest rate 精品文档 2 Pfizer is a U S firm with considerable euro assets It is considering entering into a currency swap involving 10 million of its dollar debt for an equivalent amount of euro debt Suppose the maturity of the swap is 8 years and the interest rate on Pfizer s outstanding 8 year dollar debt is 11 The interest rate on the euro debt is 9 The current spot exchange rate is 1 35 How could a swap be structured Answer Pfizer wants to swap out of 10 million of dollar debt that has an 11 interest rate and to swap into an equivalent amount of euro denominated debt that will require payments of 9 per annum At the spot exchange rate of 1 35 the 10 million is equivalent to 10 000 000 7 407 407 41 1 35 Thus at the beginning of the swap Pfizer would transfer 10 000 000 to the financial intermediary and Pfizer would receive 7 407 407 41 If interest is paid semi annually Pfizer would receive 0 5 0 11 10 000 000 550 000 every 6 months for 8 years Pfizer would have to pay 0 5 0 09 7 407 407 41 333 333 33 After 8 years the original principals would also be exchanged Pfizer would receive 10 000 000 from the financial intermediary and Pfizer would pay 7 407 407 41 to the financial intermediary 3 At the 7 year maturity the market sets the price of U S Treasury bonds to have a yield to maturity of 7 95 p a The Second Bank of Chicago states that it will make fixed interest rate payments on dollars at the yield on Treasury bonds plus 55 basis points in exchange for receiving dollar LIBOR and it will receive fixed interest rate payments on dollars at the yield on Treasury bonds plus 60 basis points in exchange for paying dollar LIBOR If you enter into an interest rate swap of 10 million with Second Chicago what will be your cash flows if you are paying the fixed rate and receiving the floating rate Answer You pay the higher rate to the bank so you would pay fixed interest at 7 95 0 60 8 55 You would receive interest at LIBOR This way the bank pays fixed interest at 5 basis points less than it receives interest Your actual cash flows would be determined by the relationship between LIBOR and the 8 55 fixed interest rate If LIBOR 8 55 each 6 months you would receive the net amount 0 5 LIBOR 8 55 10 million If LIBOR 8 55 you would pay the net amount 0 5 8 55 LIBOR 10 million 4 The swap desk at UBS is quoting the following rates on 5 year swaps versus 6 month dollar LIBOR U S dollars 8 75 bid and 8 85 offered Swiss francs 5 25 bid and 5 35 offered You would like to swap out of Swiss franc debt with a principal of CHF25 000 000 and into fixed rate dollar debt At what rates will UBS handle the transaction If the current exchange rate is CHF1 3 what would the cash flows be Answer Because you want to swap out of Swiss franc debt you want UBS to pay you Swiss francs 精品文档 and you want to pay UBS dollars UBS pays Swiss francs at 5 25 and it receives dollars at 8 85 When you receive Swiss francs you pay 6 month dollar LIBOR on the equivalent dollar amount and when you pay dollars you receive 6 month dollar LIBOR on that same dollar amount Thus the floating rate dollar cash flows cancel and you would just make the fixed rate dollar payment and would receive the fixed rate Swiss franc payment In the beginning of the currency swap you would give the Swiss franc principal of CHF25 000 000 to UBS who would give you CHF25 000 000 19 230 769 CHF1 3 You would then make semi annual dollar payments of 0 5 8 85 19 230 769 850 962 You would receive semi annual Swiss franc payments of 0 5 5 25 CHF25 000 000 CHF656 250 At the end of 5 years you would also pay the principal of 19 230 769 and you would receive the CHF25 000 000 5 Suppose Viacom can issue 100 000 000 of debt at an AIC of 9 42 whereas Gaz de France can issue 100 000 000 of debt at an AIC of 10 11 Suppose that the exchange rate is 1 35 If Viacom issues euro denominated bonds equivalent to 100 000 000 its AIC will be 8 27 whereas if Gaz de France issues such bonds its AIC will be 9 17 Which firm has a comparative advantage when borrowing euros Why Answer Clearly Viacom borrows at a lower rate than Gaz de France in both dollars 9 42 vs 10 11 and euros 8 27 vs 9 17 Viacom therefore has an absolute borrowing advantage in each currency It is a better credit risk To assess the comparative advantage we must take the ratio of the borrowing costs Viacom s ratio of euro cost to dollar cost is 1 0827 1 0942 0 9895 Gaz de France s ratio of euro cost to dollar cost is 1 0917 1 1011 0 9915 Because Viacom has the lower ratio of euro cost to dollar cost Viacom has a comparative advantage in borrowing euros 6 Suppose in problem 5 that because of currency risk Viacom would prefer to have dollar debt and Gaz de France would prefer to have euro debt How could an investment bank structure a currency swap that would allow each of the firms to issue bonds denominated in the currency in which the firm has a comparative advantage while respecting the firms preferences about currency risks Answer Because Viacom has a comparative advantage in borrowing euros it should borrow euros and swap into dollars Gaz de France should do the opposite that is borrow dollars and swap into euros An investment bank could have Viacom issue a euro bond and have Gaz de France issue a dollar bond Each firm would make the other firm s interest and principal payments The initial principals that are raised could then be adjusted so that the all in cost on the dollar cash flows of Viacom is lower than Viacom s direct dollar borrowing cost while the all in cost on the euro cash flows of Gaz de France is lower than Gaz de France s direct euro borrowing cost The investment bank that arranged this deal would actually be able to keep some of the principal amounts for arranging the deals 7 Suppose Sony issues 100 000 000 of 5 year dollar bonds Nomura will handle the bond issue for 精品文档 a fee of 1 875 Sony s bonds will be priced at par if they carry a coupon of 8 5 As the swap trader for Mitsubishi UFJ MUFJ you have been quoting the following rates on 5 year swaps U S dollars 8 00 bid and 8 10 offered against the 6 month dollar LIBOR Japanese yen 4 50 bid and 4 60 offered against the 6 month dollar LIBOR Sony would like to do the dollar bond issue but it prefers to have fixed rate yen debt If MUFJ gets the proceeds of the dollar bond issue giving Sony an equivalent amount of yen and MUFJ agrees to make the dollar interest payments associated with Sony s dollar bonds what yen interest payments should MUFJ charge Sony What is Sony s all in cost in yen The current spot exchange rate is 98 50 Answer The following exhibit provides the analysis which is explained below Sony s Dollar Bond Issue and Cash Flows in the Swap into Yen with MUFJ extra extraEffective dollar yenyen Yearnotional dollarsnotional interestinterestcash flows 098 13 100 00 98 139 850 009 665 31 0 5 4 254 004 25 226 550 2522 59 249 14 1 4 254 004 25 226 550 2522 59 249 14 1 5 4 254 004 25 226 550 2522 59 249 14 2 4 254 004 25 226 550 2522 59 249 14 2 5 4 254 004 25 226 550 2522 59 249 14 3 4 254 004 25 226 550 2522 59 249 14 3 5 4 254 004 25 226 550 2522 59 249 14 4 4 254 004 25 226 550 2522 59 249 14 4 5 4 254 004 25 226 550 2522 59 249 14 5 104 25104 00104 25 10 076 550 2522 59 10 099 14 AIC4 49 4 00 4 49 2 30 2 75 Annual AIC9 17 8 16 9 17 4 65 5 57 Note The present value at 4 00 of the 10 extra interest payment of 0 25 million is 2 03 million This is equivalent to 199 73 million yen at the current exchange rate The present value at 2 30 of 10 extra interest payment of 22 59 million yen is 199 73 million yen The annual AIC calculations compound the semi annual rates e g 1 0449 2 1 0917 Swap Receipts and Payment with MUFJ All cash flows are in millions of dollars or yen Dollar Bond Issue The first thing to determine is the dollar proceeds of the bond issue Because it is priced at par Sony will receive 1 875 less than the 100 million provided by investors 100 000 000 1 0 01875 98 125 000 This amount will be given to MUFJ in exchange for an equal amount of yen 98 125 000 98 50 9 665 312 500 To determine the interest payments we must examine what MUFJ is quoting When MUFJ does a 5 year swap and pays 100 million of principal it expects to pay interest at 8 or 4 semi annually Sony wants it to pay the interest on its outstanding bond which has a semi annual coupon of 8 5 Thus there is an extra 0 25 million of interest every half year for 5 years This amount is given in the column labeled extra dollar interest The yen principal that is associated with 100 million at the current exchange rate of 98 50 is 精品文档 100 000 000 98 50 9 850 000 000 MUFJ would normally receive interest on this amount at 4 6 from Sony which would be 226 55 million every half year but we must increase the yen interest to reflect the increase in dollar interest that MUFJ is paying In the absence of spot interest rates for each maturity we can take the present value of the extra dollar interest at 8 This amount is 2 03 million The yen value of this dollar amount