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摇一摇 · 2023年08月22日

time value为什么等于期权费

NO.PZ2023040401000079

问题如下:

A European put option with six months remaining to maturity has an exercise price (X) of USD 48. Suppose the underlying stock has no additional cash flows, the risk-free rate is 2%, the current underlying price (St) is USD 54. If the current put option price is USD 4.6, Which of the following calculations of the exercise value and the time value is correct?

选项:

A.

The exercise value of the put option is 0;The time value of the put option is USD 4.6.

B.

The exercise value of the put option is 4.6; The time value of the put option is USD 0.

C.

The exercise value of the put option is 0;The time value of the put option cannot be calculated.

解释:

Put option exercise value = Max (0, X(1 + r)−(T−t) − St) = Max (0, 48(1 + 2%)−0.5 − 54) = 0

Put option time value = ​pt – Max (0, X(1 + r)−(T−t) − St) = 4.6-0 = USD 4.6.

time value为什么等于期权费啊,

value的计算不算期权费,profit or loss是在value的基础上算上期权费。

1 个答案

Lucky_品职助教 · 2023年08月24日

嗨,爱思考的PZer你好:


期权value= time value + exercise value,exercise value=0,因此目前期权的价格反映的是time value

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