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Claudia66 · 2020年02月25日

问一道题:NO.PZ2016070202000026

问题如下:

A trader buys an at-the-money call option with the intention of delta-hedging it to maturity. Which one of the following is likely to be the most profitable over the life of the option?

选项:

A.

An increase in implied volatility

B.

The underlying price steadily rising over the life of the option

C.

The underlying price steadily decreasing over the life of the option

D.

The underlying price drifting back and forth around the strike over the life of the option

解释:

D is correct. An important aspect of the question is the fact that the option is held to maturity. Answer A is incorrect because changes in the implied volatility would change the value of the option, but this has no effect when holding to maturity. The profit from the dynamic portfolio will depend on whether the actual volatility differs from the initial implied volatility. It does not depend on whether the option ends up in-the-money, so answers B and B are incorrect. The portfolio will be profitable if the actual volatility is small, which implies small moves around the strike price (answer D).

整个题目都不太理解,能不能详细的解答一下,谢谢。这块的知识点是在讲义的哪一部分。

1 个答案

品职答疑小助手雍 · 2020年02月25日

emmm同学你好,这题我感觉考的是一种sense。

首先你是要对冲没错吧~delta对冲是指,构建投资组合(买入期权),使得新构建成的投资组合对于标的资产的价格变动敏感度为0,而且对冲是个需要不断调整仓位的动态的过程。

如果标的资产的真实波动率过大,即每次调整投资组合的幅度过大,就会带来过大的成本。因此,真实波动率越小,动态投资组合的调整成本也越小,即越profitable。


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