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Avalon · 2024年07月17日

老师麻烦这题,

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NO.PZ202208260100000706

问题如下:

Which of the following statements correctly describes the put option and call option premiums given the relationship between Biomian’s current price of INR 295 and the exercise price equal to the forward price of INR 300.84?

选项:

A.The call option’s premium consists solely of time value, and the put option’s premium consists solely of exercise value.

B.The call option’s premium consists solely of exercise value, and the put option’s premium consists solely of time value.

C.The call option’s premium consists solely of time value, and the put option’s premium consists solely of time value.

解释:

C is correct. The exercise value of both the call and put options are zero because the present value of the exercise price is INR 295, which is equivalent to the stock price of INR 295. Thus, both option premiums reflect time value only. A is incorrect as this statement does not properly account for the discounting of the exercise price. B is incorrect as the call option’s premium does not reflect exercise value.

解析没有看明白,执行价格是300.84吗?为什么只有时间价值了?这个时间价值怎么理解。

1 个答案

李坏_品职助教 · 2024年07月18日

嗨,从没放弃的小努力你好:


判断期权的exercise value:

要去判断股价St与行权价格X的present value之间孰高孰低。

本题告诉我们行权价格X是300.84,题目还说这个价格X恰好等于股票的远期价格,也就是X= St *(1+r)^(T-t),按照讲义里的公式,计算一下present value,也就是X / (1+r)^(T-t) = St。

所以St - X/(1+r)^(T-t) =0.

所以期权的exercise value =0. 无论是call还是put,其exercise value都是0.

所以期权的价值只包含时间价值,C选项正确。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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