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Avalon · 2024年10月14日

麻烦助教老师帮忙看下这题

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NO.PZ202208260100000704

问题如下:

In comparing the sold call and purchased put strategies at the forward price, VFO's CIO is concerned about how an immediate increase in the volatility of the underlying Biomian shares might affect option value. Which of the following statements about this volatility change and its effect on strategy is most accurate?

选项:

A.

An increase in the volatility of the underlying shares has the same effect on call and put option values, so this change should not affect VFO's strategy decision.

B.

Since changes in the volatility of the underlying shares have the opposite effect on put versus call options, this change will increase the attractiveness of the put strategy versus the call strategy.

C.

An increase in the volatility of the underlying shares will increase both the cost of the purchased put strategy and the premium received on the sold call strategy, so this change will increase the attractiveness of the call strategy versus the put strategy.

解释:

Solution

C is correct.

An increase in the volatility of the underlying share price will increase both the upfront premium received on the sold call option and the premium paid on the purchased put option. Therefore, since the purchased put strategy involves an increased upfront payment made by VFO and the sold call strategy involves an increased premium received, the volatility increase will increase the attractiveness of the call strategy versus the put strategy.

中文解析

本题考察的是波动率volatility对期权价格的影响。

不论看涨还是看跌期权,其价格与波动率都是呈正相关关系。因此当波动率增加的时候,看涨和看跌期权的价格都上升。

所以对于long put的策略来说,意味着支付的期权费要更多,对于short call策略来说意味着收到的期权费更多。

所以这种情况下,short call策略的优势更明显。选C

之前问过,如果是时间价值,不管是call还是put期权,都会随着时间的流逝价值下降,underlying shares是指标的物的波动幅度吗?这个会增加期权价格,但为啥会增加call的吸引力相对于put来说?麻烦助教老师讲得通俗易懂一些,非常感谢。

1 个答案

李坏_品职助教 · 2024年10月14日

嗨,爱思考的PZer你好:


underlying shares指的就是期权的基础资产(股票期权的基础资产就是股票本身)。


An increase in the volatility of the underlying shares,意思是基础资产(股票)的波动率(就是股票的标准差σ)变大了,这样会让call与put的价值(期权费)都变大。

buy put,是要付出期权费,所以buy put的成本变大。

sell call,是收取期权费作为收入,所以sell call此时收入变大。sell call更占优势。

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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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