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Given strictly positive interest rates, ...

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题目

Given strictly positive interest rates, the best way to close out a long American call option position early (option written on a stock that pays no dividends) would be to:

选项

A.Exercise the call

B.Sell the call

C.Deliver the call

D.None of the above

答案

B

解析

The lower bound on the price of an American call option is S-PV(X); the payoff from exercise prior to maturity is S-X, which is less than the lower bound on the price (assuming the risk-free rate is positive). Therefore an American option on non-dividend paying stock is always worth more "alive" than "dead", and it's never optimal to exercise it early.简单的理解就是这个人不想要这个美式期权了,无红利的美式看涨期权永远不会提前行权,所以不选A。如果持有至到期行权,获利S-X,更小。而卖掉这个美式期权就是把期权转移给他人,我可以获得现金流去投资别的资产。