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Problem 2

Explain what is meant by basis risk when futures contracts are used for hedging.

Problem 3

Explain what is meant by a perfect hedge. Does a perfect hedge always lead to a better outcome than an imperfect hedge? Explain your answer.

Problem 4

Under what circumstances does a minimum variance hedge portfolio lead to no hedging at all?

Problem 5

Give three reasons that the treasurer of a company might not hedge the company's exposure to a particular risk.

Problem 6

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 3 -month contract? What does it mean?

Problem 7

A company has a \(\$ 20\) million portfolio with a beta of \(1.2 .\) It would like to use futures contracts on the S\&P 500 to hedge its risk. The index is currently standing at \(1080,\) and each contract is for delivery of \(\$ 250\) times the index. What is the hedge that minimizes risk? What should the company do if it wants to reduce the beta of the portfolio to \(0.6 ?\)

Problem 8

In the Chicago Board of Trade's corn futures contract, the following delivery months are available: March, May, July, September, and December. State the contract that should be used for hedging when the expiration of the hedge is in (a) June, (b) July, and (c) January.

Problem 8

In the Chicago Board of Trade's com futures contract, the following delivery months are available: March, May, July, September, and December. State the contract that should be used for hedging when the expiration of the hedge is in (a) June, (b) July, and (c) January.

Problem 9

Does a perfect hedge always succeed in locking in the current spot price of an asset for a future transaction? Explain your answer.

Problem 10

Explain why a short hedger's position improves when the basis strengthens unexpectedly and worsens when the basis weakens unexpectedly.

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