Suppose that oil forward prices for 1 year, 2 years, and 3 years are $62, $74, and $80 per barrel. The 1-year effective annual interest rate is 3.4%, the 2-year interest rate is 3.0%, and the 3-year interest rate is 2.6%. What is the fixed per-barrel price in a 3-year swap that calls for delivery of 4 barrels of oil at the end of the first year, 2 barrels the second year, and 2 barrels the third year?

Suppose that oil forward prices for 1 year, 2 years, and 3 years are $62, $74, and $80 per barrel. The 1-year effective annual interest rate is 3.4%, the 2-year interest rate is 3.0%, and the 3-year interest rate is 2.6%. What is the fixed per-barrel price in a 3-year swap that calls for delivery of 4 barrels of oil at the end of the first year, 2 barrels the second year, and 2 barrels the third year?

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter5: Currency Derivatives

Section: Chapter Questions

Problem 3BIC

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Suppose that a commodity’s respective forward prices for 1 year and 2 years are $150 and $158. The 1-year effective annual interest rate is 5.9%, and the 2-year interest rate is 6.6%. You will pay a fixed rate of $153.85906 in a 2-year swap and receive the floating rate. At the time you enter the swap contract, its value to you is... A.$0.0084 B.$–0.0084 C.$0.0051 D.. $–0.0051 E.$000000
Suppose the three-year swap rate for a swap with annual payments is 3.2% and that OIS (risk-free) zero rates for maturities of one, two and three years are 2.5%, 2.7% and 2.9% respectively. What is the value of a three-year swap where 4% is received and TSOFR is paid on a principal of $100 million? All rates are annually compounded.
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Consider a one-year interest rate swap with semi-annual payments, based on 30/360 day count convention. The term structure of LIBOR spot rates is given as follows: 6-month LIBOR at 7.2%, and 12-month LIBOR at 8.0%. What is the annualized fixed rate on the swap? A. 7.42%. B. 7.93% C. 7.84%. D. 7.56%.
Suppose the 1-year and 2-year OIS rates are 2% and 4%, respectively. Consider an OISswap with two years to maturity where you receive 3% and pay the floating reference ratewith principal 1 million. If the payments are made annually with annual compounding, what is the value of the swap
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1. Suppose a financial asset, ABC, is the underlying asset for a futures contract with settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $80; ABC pays $8 per year in two semiannual payments of $4, and the next semiannual payment is due exactly 6 months from now; and the current 6month interest rate at which funds can be loaned or borrowed is 6%. What action would you take if the futures price is $83? What action would you take if the futures price is $76?
Suppose that some time ago a financial institution entered into a swap where it agreed to make semiannual payments at a rate of 3.5% per annum and receive LIBOR on a notional principal of $300 million. The swap now has a remaining life of 1.15 years. Payments will therefore be made 0.15, 0.65, and 1.15 years from today. The risk-free rates with continuous compounding for maturities of 0.15, 0.65, and 1.15 years are 2.8%, 3.2%, and 3.4%, respectively. We suppose that the forward LIBOR rates for the 0.15-to- 0.65 year and the 0.65-to-1.15 year periods are 3.4% and 3.7%, respectively, with semiannual compounding. The LIBOR rate applicable to the exchange in 0.15 years was determined 0.35 years ago. Suppose it is 2.9% with semiannual compounding. What is the floating cash flow at time 1.15 (in $ millions)?
3. Suppose a financial asset, ABC, is the underlying asset for a futures contractwith settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $120; ABC pays $18 per year in two semiannual payments of $9, and the next semiannual payment is due exactly 6 months from now; and the current 6-month interest rate at which funds can be loaned or borrowed is 6%. a) What is the theoretical (or equilibrium ) futures price? b) Suppose that ABC pays an interest quarterly instead of semiannually, What would be the theoretical futures price for 3 months settlement? c) Suppose that the borrowing rate is 8% and the 6-month lending rate is 6%, What is the boundary for the theoretical futures price? SHOW YOUR SOLUTIONS, PLEASE DONT USE MS EXCEL
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