3. Suppose that a bank has agreed to the following terms of an interest rate swap: - The notional principal is CAD 300 million and the remaining life of the swap is 11 months. - The bank pays 8% per annum, and receives three-month LIBOR. - Payments are exchanged every three months. - The swap (fixed) rate is 11% per annum for all maturities. - The three-month LIBOR rate a month ago was 12.5% per annum. All rates are compounded quarterly. Estimate the value of the swap using a) a bond-price valuation method, and b) a FRAs-based method?

3. Suppose that a bank has agreed to the following terms of an interest rate swap: - The notional principal is CAD 300 million and the remaining life of the swap is 11 months. - The bank pays 8% per annum, and receives three-month LIBOR. - Payments are exchanged every three months. - The swap (fixed) rate is 11% per annum for all maturities. - The three-month LIBOR rate a month ago was 12.5% per annum. All rates are compounded quarterly. Estimate the value of the swap using a) a bond-price valuation method, and b) a FRAs-based method?

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter11: Managing Transaction Exposure

Section: Chapter Questions

Problem 37QA

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Suppose that a bank has agreed to the following terms of an interest rate swap:- The notional principal is CAD 300 million and the remaining life of the swap is 11 months.- The bank pays 8% per annum, and receives three-month LIBOR.- Payments are exchanged every three months.- The swap (fixed) rate is 11% per annum for all maturities.- The three-month LIBOR rate a month ago was 12.5% per annum. All rates are compounded quarterly. Estimate the value of the swap using a) a bond-price valuation method, and b) a FRAs-based method?
Suppose you have a 2.5-year remaining on an interest rate swap with a notionalprincipal of $10, 000, 000 between Company A and Company B. Company A pays fixed rateand Company B pays the float rate. Fixed and float payments are exchanged every year andthe last payment was exchanged 6 months ago. The fixed rate is 3.5% per annum, and thefloating rate is tied to the annual LIBOR. The previous 1-year LIBOR rate, set 6 months ago,is 2.75%, 6 month LIBOR is 3.25%. the 1.5-year LIBOR is 3.25%, and the 2.5-year LIBOR is3.50%.Calculate the present value of the fixed and floating legs of the swap, and determine the swap’snet present value from Company A’s perspective. Assume annual compounding for discounting.
V5. Suppose that some time ago a financial institution agreed to receive 6-month LIBOR and pay 4% per annum (with semi-annual compounding) on a notional principal of $200 million. The swap has a remaining life of 1.25 years; assume that the payments are to be exchanged every 6 months. The LIBOR rates with continuous compounding for 3-month, 9-month, and 15-month maturities are 3.8%, 4.2%, and 4.4%, respectively. The 6-month LIBOR rate at the last payment date was 3.9% (with semiannual compounding). Suppose that the day count convention is ignored. Calculate the current value of the swap (in terms of bond prices) to the financial institution.
Suppose a bank enters a repurchase agreerment in which it agrees to sell Treasury securities to a correspondent bank at a price of $9.99,838 with the promise to buy them back at a price of $10.000,073. Calculate the yield on the repo if it has a 6-day maturity. (write your answer in percentage and round it to 2 decimal places)
Current USD Interest rates are 7% per annum and AUD rates are 9% per annum, flat for all terms. Current value of AUD is 0.62 USD. Under a FX swap agreement, a financial institution pays 8% per annum in AUD and receives 4% per annum in USD. Notional principals are 12 Million USD and 20 Million AUD. Payments are exchanged every year, with one exchange having just taken place. The swap will last 5 more years. What is the value of the swap to the financial institution?
A $100,000 interest rate swap has a remaining life of 10 months. Under the terms of the swap, six-month LIBOR is exchanged for 4% per annum (compounded semi-annually). Six-month LIBOR forward rates for all maturities are 3.3% (compounded semi-annually). The six-month LIBOR rate was 2.6% two months ago. The risk free rate is 2.7% (cont. comp) for all maturities. What is the value of the swap to the party paying floating? (Required precision: 0.01 +/- 1)
A bank has issued a six-month, $1.7 million negotiable CD with a 0.46 percent quoted annual interest rate (iCD, sp). Immediately after the CD is issued, the secondary market price on the $2 million CD falls to $1,699,000. Calculate the new secondary market quoted yield, the bond equivalent yield, and the EAR on the $1.7 million face value CD.
Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $25,950,000, with the promise to buy them back at a price of $26,000,000. a. Calculate the yield on the repo if it has a 5-day maturity. b. Calculate the yield on the repo if it has a 15-day maturit
Suppose GHI Bank has a portfolio of 8-year fixed rate mortgages with total principal amount of $50 million and interest rate is 9%. Interest is paid semi-annually and principal is scheduled to be repaid at maturity. GHI Bank finances its loan portfolio with six-month certificate of deposits (CDs) at an interest rate equal to six-month LIBOR plus 50 basis points. Question: Suppose GHI Bank enter into a 8-year fixed-floating interest rate swap is available with a notional amount of $50 million in which GHI Bank pays a fixed 8% every six months and received 6-month LIBOR. Explain how can the bank use this swap to hedge its interest rate exposure.
A bank has issued a six-month, $1.0 million negotiable CD with a 0.53 percent quoted annual interest rate (iCD, sp). a. Calculate the bond equivalent yield and the EAR on the CD. b. How much will the negotiable CD holder receive at maturity? c. Immediately after the CD is issued, the secondary market price on the $1 million CD falls to $998,900. Calculate the new secondary market quoted yield, the bond equivalent yield, and the EAR on the $1.0 million face value CD. Required A: Bond Equivalent Yield ___ EAR____ (Use 365 days in a year. Do not round intermediate calculations. Round your answers to 3 decimal places.) Required B: CD Holder will receive at maturity_____(Do not round intermediate calculations. Round your answer to nearest whole number.) Required C: Bond Equivalent Yield____ Secondary Market Quoted Yield______ EAR_____ (Use 365 days in a year. Do not round intermediate calculations. Round your answers to 4 decimal places.
Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $14,800,000, with the promise to buy them back at a price of $15,000,000. Calculate the yield on the repo if it has a 36-day maturity. (Do not round intermediate calculations. Round your answers to 4 decimal places. (e.g., 32.1642))
Six-month T-bills have a nominal rate of 2%, while default-freeJapanese bonds that mature in 6 months have a nominal rate of 1.25%. In the spot exchangemarket, 1 yen equals $0.0091. If interest rate parity holds, what is the 6-month forwardexchange rate?