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A non-dividend-paying stock with a curre...

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题目

A non-dividend-paying stock with a current price of $40.00 and a volatility of 30.0% per annum when the risk-free rate is 4.0%. Consider a one-year barrier option with a barrier, H =$43.00, and a strike price, K = $45.00. Please note that the corresponding regular (i.e., without the barrier) put option price is $6.75. Which of the following instances of this barrier option has the LOWEST price?

选项

A.Knock-in call

B.Knock-out call

C.Knock-in put

D.Knock-out put

答案

B

解析

Knock-out call has a price of zero; it will get knocked out at $43.00 before it reaches the strike price of $45.00. Each of the other barrier options here has at least some positive (non-zero) value.knock out call:障碍线是43,执行价是45,而现在股票价格是40,一旦高于43,这个期权就失效了,而且永远无法行权。所以这个期权就没有存在的意义。价值为0 而incall,input,都是在触及障碍线才会生效。所以价值至少为0. 而output:说明高于43失效。这证明在没有达到43时,是有效的。PUT可以以45行权,所以是存在价值的。