Exercise 1.20

A trader enters into a short forward contract on 100 million yen. The forward exchange rate is $0.0080 per yen.  How much does the trader gain or lose if the exchange rate at the end of the contract is (a) $0.0074 per yen; (b) $0.0091 per yen?

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Exercise 1.21

A trader enters into a short cotton futures contract when the futures price is 50 cents per pound.  The contract is for the delivery of 50,000 pounds.  How much does the trader gain or lose if the cotton price at the end of the contract is (a) 48.20 cents per pound; (b) 51.30 cents per pound? 

Exercise 1.24

A trader buys a call option with a strike price of $30 for $3. Does the trader ever exercise the option and lose money on the trade? Explain.

Exercise 1.25

A trader sells a put option with a strike price of $40 for $5. What is the trader’s maximum gain and maximum loss? How does your answer change if it is a call option?

Exercise 2.15

At the end of one day a clearing house member is long 100 contracts, and the settlement price is $50,000 per contract. The original margin is $2,000 per contract.  On the following day the member becomes responsible for clearing an additional 20 long contracts, entered into at a price of $51,000 per contract. The settlement price at the end of this day is $50,200. How much does the member have to add to its margin account with the exchange clearing house? 

Exercise 2.28

A company enters into a short futures contract to sell 5,000 bushels of wheat for 250 cents per bushel. The initial margin is $3,000 and the maintenance margin is $2,000. What price change would lead to a margin call? 

Exercise 2.28

Under what circumstances could $1,500 be withdrawn from the margin account? 

Exercise 2.30

What position is equivalent to a long forward contract and along put option, both with strike K and maturity date T? 

Exercise 3.16

The standard deviation of monthly changes in the spot price of live cattle is (in cents per pound) 1.2. The standard deviation of monthly changes in the futures price of live cattle for the closest contract is 1.4. The correlation between the futures price changes and the spot price changes is 0.7. It is now October 15. A beef producer is committed to purchasing 200,000 pounds of live cattle on November 15. The producer wants to use the December live-cattle futures contracts to hedge its risk. Each contract is for the delivery of 40,000 pounds of cattle. What strategy should the beef producer follow?

Exercise 3.18

On July 1, an investor holds 50,000 shares of a certain stock. The market price is $30 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index futures price is 1,500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. What strategy should the investor follow?

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