Essay on Derivatives Study Guide

1541 Words Feb 6th, 2013 7 Pages
1. Both forward and futures contracts are traded on exchanges. : False
2. Futures contracts are standardized; forward contracts are not. : True
3. The S&P500 index futures contract is a physical delivery contract. The pork bellies futures contract is a cash-settled contract. : False
4. An American option can be exercised at any time during its life. : True
5. A put option will always be exercised at maturity if the strike price is greater than the underlying asset price. : True
6. The fact that the exchange is the counter-party to every futures contract issued is important because it eliminates interest rate risk. : False
7. Index arbitrage is a strategy which exploits differences between actual index
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The necessary condition for early exercise is that we prefer to receive something sooner rather than later. With a dividend paying call and a non-dividend paying put, what do we receive?Answer: With the call and the put we receive the dividend on the stock and the interest on the strike, respectively.
3. Manchester United Corp. common stock is priced at $74.20 per share. The company just paid its $1.10 quarterly dividend. Interest rates are 6.0% (continuously compounded). A $70.00 strike European call, maturing in 6 months, sells for $6.50. How much arbitrage profit/loss is made by shorting the corresponding European put, which is priced at $2.50?Answer: No-arbitrage price of Put = C + Ke-r×T – (S0 – PV(D))
= 6.50 + 70 e(-0.06/2) – (74.20 – 1.10 e(-0.06/4) - 1.10 e(-0.06/2))
= 2.38
P/L = 2.50 – 2.38 = 0.12 profit
4. Suppose European put prices are given by

What no-arbitrage property is violated? What spread position would you use to effect arbitrage? Demonstrate that the spread position is an arbitrage.
Answer: The difference in put premiums is greater than the difference in strike prices. We could engage in arbitrage by selling the 55-strike put and buying the 50-strike put, which is a bull spread.

5. (10 points) Let S=40, K=40, r=8% (continuously compounded), σ=30%, =0, T=0.5 years, and number of binomial periods=2. Compute the prices of American call and put options.

Payoff for
 Long

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