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Amy-Lily · 2024年10月13日

可以解释一下这道题目吗?没看懂,谢谢。

NO.PZ2024021803000007

问题如下:

What is the equivalent portfolio to a European put option's payoff according to put-call parity?

选项:

A.A long position in the underlying asset, a short call, and a long position in a risk-free bond. B.A short position in the underlying asset, a long call, and a long position in a risk-free bond. C.A short position in the underlying asset, a short call, and a short position in a risk-free bond.

解释:

Put-call parity states that the payoff from holding a put and a risk-free bond (until option's maturity) is equivalent to holding a call and the underlying asset. 按照看涨看跌平价原理,持有一个看跌期权和到期无风险债券的收益相当于持有一个看涨期权和标的资产。

What is the equivalent portfolio to a European put option's payoff according to put-call parity?

您的回答A, 正确答案是: B

A

不正确A long position in the underlying asset, a short call, and a long position in a risk-free bond.

B

A short position in the underlying asset, a long call, and a long position in a risk-free bond.

C

A short position in the underlying asset, a short call, and a short position in a risk-free bond.

1 个答案

李坏_品职助教 · 2024年10月13日

嗨,努力学习的PZer你好:


题目问你,根据put-call parity,put option(看跌期权)的收益等价于什么?


根据put-call parity公式:

根据这个公式,看跌期权p0可以表示为:

所以看跌期权等价于long call , shot underlying asset(就是-S0)然后long risk-free bond(就是X/(1+r)^T),选B。

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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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