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 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?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Company A and B have been offered the following rates per annum on a £50 million, 10 - year loan. Company A borrows at a fixed rate of 6% and floating rate of (LIBOR + 0.4)%. Company B borrows at a fixed rate of 7% and a floating rate of (LIBOR + 0.6)%. a) Company A requires a floating rate loan, whereas company B requires a fixed rate loan. In which market does company A have a comparative advantage? Design at least two different swaps that will give a bank, acting as an intermediary 0.6% p.a. and that will appear equally attractive to both companies. Explain how to achieve this, using diagrams and text. b) Design a Swap that is the most beneficial to company A. Explain using text and diagram. c) Suppose that company A has an asset worth £10 million yielding an interest of 7%. Suppose that A is a company based in Japan. Explain how it can use a currency swap to transform the asset to an asset paying Yen (currency in Japan).
Zee Ltd has a 3 million dollar floating rate loan which is re-set every six months. The company wants to protect itself against a rising interest rate in the next six months. It purchases a 3% 6 v/s 12 Forward Rate Agreement ( FRA ) on a notional amount of 3 million dollar. At the start date of the FRA, the market interest rate on floating rate debt is 3.5 % per annum. (i) Calculate the interest payable by Zee Ltd to the providers of finance at the end of month 12. (ii) Calculate the actual interest cost of the loan and justify your answer.
Use the data provided for Gotbucks Bank Inc. to answer this question. Notes to the balance sheet: Currently, the fed funds rate is 8.5 percent. Variable-rate loans are priced at 4 percent over LIBOR (currently at 11 percent). Fixed-rate loans are selling at par and have five-year maturities with 12 percent interest paid annually. Core deposits are all fixed rate for two years at 8 percent paid annually. Euro CDs currently yield 9 percent. (LG 23-3) Gotbucks Bank Inc.(dollars in milllions) Assets Liabilities Cash $30 Core Deposits $20 Federal Funds 20 Federal Funds 50 Loans (floating) 105 Euro Cds 130 Loans (Fixed) 65 Equity 20 Total Assets $220 Total Liabilities and Equity $220 d. If the duration of GBI’s Euro CDs and fed fund liabilities is 0.401 year, what is the duration of the bank’s liabilities? e. What is GBI’s duration gap? What is its interest rate risk exposure? If all yields increase by 1 percent, what is the impact on the market…
You work at the interest rates swaps trading desk of an investment bank. Exactly three years ago you entered into an interest rate swap with a client with a notional of €200 million. The client is paying a fixed rate of 4% with semi-annual frequency and receiving the floating rate LIBOR with semi-annual frequency. The interest rate swap had a maturity of six years when it was initiated.Today is payment day and you have already exchanged the cash-flows for today. What is the value of this interest rate swap for you? Use the data in Table 1. Please show your calculations. Discuss your result. Rates are continuously compounded in image attachedb
The interest rate on one-year Treasury bonds is 0.8 percent, the rate on two-year T-bonds is 0.9 percent, and the rate on three-year T-bonds is 1.0 percent. Using the expectations theory, compute the expected one-year interest rate in the second year (Year 2 only). Round your answer to one decimal place. % Using the expectations theory, compute the expected one-year interest rate in the third year (Year 3 only). Round your answer to one decimal place. %
You have borrowed $60,000 from a bank at an interest rate of 12% per year, compounded monthly. You are to repay the loan and its interest charges in equal monthly payments over a 20-year period. The estimated annual inflation rate is 5%, compounded monthly. a) What is the amount of your monthly payments? b) What is the bank's real rate of return on this deal?
An investor is currently making a regular deposit of PHP 4,125.27 at the start of each period, to pay his debt of PHP 82,593.10. Assuming that the interest rate is 10.34% compounded semi-annually, what is the number of compounding periods of this annuity? Round your answer to two decimal places
A $30,000,000 interest rate swap has a 12-month maturity, and was entered 2 months ago. This means the swap has a remaining life of 10 months. The swap pays interest quarterly, and it stipulates that the fixed rate is 4.5%, while the floating rate is the 3-month LIBOR +1%. Two months ago, when the swap was entered, 3-month LIBOR was 2.9%. The 3-month LIBOR forward rates and continuous time zero-coupon prices are given in a table below. Use the zero coupon prices to discount cash-flows. 3-month LIBOR Forward Rates Term rate 1x4 2.90% 2x5 2.85% 3x6 2.84% 4x7 2.88% 5x8 2.90% 6x9 2.91% 7x10 2.92% 8x11 2.92% 9x12 2.92% Zero-Coupon prices T (month) Price 1 0.9976 2 0.9953 3 0.9929 4 0.9904 5 0.988 6 0.9856 7 0.9831 8 0.9807 9 0.9783 10 0.9761 11 0.9737 12 0.9712 (Important hint: since the swap was entered 2 months ago, and makes quarterly payments, in the remaining 10 months, payments should be expected in 1 month, 4 months, 7 months and 10 months. Discount cash flows accordingly.)…
A bank offers 8% interest compounded quarterly. a) Determine the required selling price for a P10, 000.00, 8-year, 7% convertible bond that pays interest every three months if an investor wants to realize the same rate of return from the purchase. (Ans. P9413.29) b) the bond pays interest every six months. (Ans. P9372.63)
A treasury bill (or bond) promises to pay R1 200 000 to the holder of the bill in a year’s time. Based on this information, which one of the following statements is correct? (a) If the holder pays R1 142 000 for the bill, the return on this treasury bill for a year will be 4.83%; (b) A return of 6% means that the holder will pay R1 135 000 for the treasury bill; (c) A return of 3% would imply a purchase price of R1 173 000; (d) If the holder pays R1 140 000 for the bill, the return for the year will be 5.3%.
5. Suppose you have a 2.5-year remaining on an interest rate swap with a notional principal of $10,000, 000 between Company A and Company B. Company A pays fixed rate and Company B pays the float rate. Fixed and float payments are exchanged every year and the last payment was exchanged 6 months ago. The fixed rate is 3.5% per annum, and the floating 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 is 3.50%. Calculate the present value of the fixed and floating legs of the swap, and determine the swap's net present value from Company A's perspective. Assume annual compounding for discounting.
Netflix company has entered into a plain vanilla interest rate swap on $2,500,000 notional principal. The company pays fixed rate of 7.0% on payments that occur at 60-day intervals. Six payments remain with the next one due in exactly 60 days. On the other side of the swap, the company receives payments based on the LIBOR rate. Describe the transaction that occurs between the company and the dealer at the end of the first period if the appropriate LIBOR rate is 8.5%.

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