International Financial Management
14th Edition
ISBN: 9780357130698
Author: Madura
Publisher: Cengage
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Suppose that the standard deviation of quarterly changes in the prices of a commodity is $0.65, the standard deviation of quarterly changes in a futures price on the commodity is $0.81, and the coefficient of correlation between the two changes is 0.8. What is the optimal hedge ratio for a three-month contract? What does it mean?
Explain what is meant by basis risk when futures contracts are used for hedging.
You are planning to make a hedging. The standard deviation of semiannual changes in a futures price on the gold is $0.96. The standard deviation of semiannual changes of the gold price is $0.87 and the coefficient of correlation between the two changes is 0.9. What is the optimal hedge ratio for a 6-month contract?
Choose correct answer:
a. The optimal hedge ratio is 0.8352
b. The optimal hedge ratio is 0.1
c. The optimal hedge ratio is 0.9931
d. The optimal hedge ratio is 0.8156
Suppose that the current spot price of corn is $720 per bushel. The one year risk-free rate is 6% per annum. The futures price for delivery of one bushel of corn in one year’s time is $792 per bushel. Assume that net costs (storage costs minus convenience yield) are $15 per bushel (over the next one year). Is the futures contract correctly priced? If not, what is the theoretically correct price for the futures contract and how could you take advantage of any mispricing?
Please show full steps and explain.
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- Given that the formula for CAPM is Expected return= risk free rate + Beta*(Return on market - risk free rate), Security A has a beta of 1.16 and an expected return of .1137 and Security B has a beta of .92 and expected return of .0984. If these securities are assumed to be correctly priced, what is their risk free rate? Based on CAPM, what is the return on the market?arrow_forwardSuppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Co. 1.39 0.153 What is the risk - free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Risk - free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. % Repete Co. %arrow_forwardRecall that on a one-year Treasury security the yield is 5.6100% and 6.7320% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.15%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a 9.6049% b 6.4285% c 8.6217% d 7.5629% Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a 5.46% b 6.45% c 6.53% d 6.61%arrow_forward
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- An investor enters a short forward contract to sell 100 euros for dollars at exchange rate 1.3 dollars per euro. If the exchange rate at the end of contract is 1.29 dollars per euro, the dollar payoff is (a) −130 (b) − 1 (c) 0 (d) 1 (e) 130 And, The standard deviation of quarterly changes in oil price is 0.65, the standard deviation of quarterly changes in oil futures price is 0.81, and the correlation between the two changes is 0.8. The optimal hedge ratio for a 3-month futures contract is (a) 0.13 (b) 0.64 (c) 0.8 (d) 0.99 (e) 1.25arrow_forwardThe prices of a certain security follow a geometric Brownian motion with parameters mu=.12 and sigma=.24. If the security's price is presently 40, what is the probability that a call option, having four months until its expiration time and with a strike price of K=42, will be exercised? (A security whose price at the time of expiration of a call option is above the strike price is said to finish in the money.) If the interest rate is 8%, what is the risk-neutral valuation of the call option?arrow_forwardSuppose the real risk-free rate is 3.00%, the average expected future inflation rate is 4.00%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Include the cross-product term, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)arrow_forward
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