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hbc0728 · 2022年03月17日

想问一下这道题考察的知识点,总那里能看出要考察的知识点呢,谢谢!

NO.PZ2018122701000086

问题如下:

You are asked to mark to market a book of plain vanilla stock options. The trader is short deep out-of-money options and long at-the-money options. There is a pronounced smile for these options. The trader’s bonus increases as the value of his book increases. Which approach should you use to mark the book?

选项:

A.

Use the implied volatility of at-the-money options because the estimation of the volatility is more reliable.

B.

Use the average of the implied volatilities for the traded options for which you have data because all options should have the same implied volatility with Black-Scholes and you don’t know which one is the right one.

C.

For each option, use the implied volatility of the most similar option traded on the market.

D.

Use the historical volatility because doing so corrects for the pricing mistakes in the option market.

解释:

C is correct.

考点 Volatility Smile

解析 The prices obtained with C are the right ones because they correspond to prices at which you could sell or buy the options.

如题

1 个答案

李坏_品职助教 · 2022年03月18日

嗨,从没放弃的小努力你好:


主要考察Section 8 Volitility smile的应用 对应讲义P193开始的部分。


由于trader分别进行了深度虚值期权和平值期权的交易,这两种交易的隐含波动率(implied volatility)由于smile的存在,差异非常大,所以应该分别使用不同的隐含波动率来进行估值,用市场上其他相似度高的期权的implied volatility去mark the book。






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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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