7.18. Companies X and Y have been offered the following rates per annum on a $5 million 10-year investment: Fixed rate Company X Company Y 8.0% 8.8% Floating rate LIBOR LIBOR Company X requires a fixed-rate investment; company Y requires a floating-rate investment. Design a swap that will net a bank, acting as intermediary, 0.2% per annum and will appear equally attractive to X and Y.

7.18. Companies X and Y have been offered the following rates per annum on a $5 million 10-year investment: Fixed rate Company X Company Y 8.0% 8.8% Floating rate LIBOR LIBOR Company X requires a fixed-rate investment; company Y requires a floating-rate investment. Design a swap that will net a bank, acting as intermediary, 0.2% per annum and will appear equally attractive to X and Y.

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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A firm can issue one of the listed products and convert them into the floating rate using IR swaps (LIBOR for 3.7% fixed). What is the lowest floating rate that the firm can get? Fixed rate note: 4% Simple FRN: L + 0.5% Inverse floater: 7.6% - L (e.g., if we can pay only L + 0.1% that would be great, but can we obtain such a low rate?) a.) L + 0.1% b.) L + 0.2% c.) L + 0.3% d.) L + 0.5%
None
You can borrow CAD (Canadian dollar) at 8 percent, which is 2 percent above the swap rate, or at CAD Libor + 1 percent. If you want to borrow at a fixed-rate, what is the best way: direct, or synthetic (that is, using a floating-rate loan and a swap)? Direct borrowing would be to borrow at a fixed rate of 8 percent. Synthetic fixed-rate cad borrowing would be to borrow CAD at a floating rate of Libor + 1 percent and arrange a swap where you pay fixed 6 percent CAD in exchange for receiving CAD Libor.
X Co. want to raise $100 million of 5-year debt in the Euro-market where interest is paid annually. It can obtain a 5-yr floating rate note with an interest rate of 1-year LIBOR + 2%. The 1-year LIBOR rate is currently 5%. To hedge the interest rate risk X Co. plans to enter into a collar with a cap rate of 6% and a floor rate of 4%. The notional principal of both the cap and floor is $100 million. The cap premium is 1.4% of the notional principal and the floor premium is 0.5% of the notional premium. What is the worst case all-in-rate that X Co. will pay in total? Answer options: 5.8% 5.2% 9.2% 8.2% 7.2%
4. Suppose that the market rate of interest is 12 per cent on a government bond with a perpetuity payment, which is a coupon value (annual payment) of £6 per year indefinitely. The face value of the loan is £100. a) Define and calculate the price of the bond? Answers.. b) At what yield (or rate) will the loan be trading at par? Explain whether it is trading above or below par in a). Answers... c) Assume that the rate of interest is 'expected' to drop to 3 per cent, derive and calculate the rate of capital gain (or loss)? Answers . d) Derive and explain the expression for the number of bonds held representing the amount of money spent on bonds (B) with the corresponding mean rate of return (HR). Answers.. e) Imagine that W = £40,000, what is the amount spend on bonds, B', if the standard deviation (SD) of earnings (s) is equal to 0.10 with a 3,000,the SD of the total return on bonds, SR. What is the money holding, which is M*? Answers.. Find the mean return on bonds with u = 1. Answer..
An investor holds the fixed-payer position in a 7.44%/LIBOR swap with $1M notional principal, semi-annual payments, and exactly one-year remaining. What is the value of the existing fixed-payer position, if the swap rate for new one-year swaps with matching notional principal is 3.57%/LIBOR
Y2
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.
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?
5. Suppose you buy a one-year forward contract at $65. At expiration, the spot price is $73. The risk-free rate is 10 percent. What is the value of the contract at expiration? a. impossible to tell b. $8.00 c. $7.27 d. –$8.00 e. $0.00

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