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candally · 2022年01月23日

请问这个选项B错在哪里

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.

请问下b哪里有问题?

1 个答案
已采纳答案

品职答疑小助手雍 · 2022年01月24日

同学你好,B说的是应该用所有期权用BSM公式倒推出的隐含波动率的平均值,这显然是错误的,这章节的名字就要波动率微笑,讲的就是隐含波动率在某些情况下高某些情况下低的问题,题目说了一个OTM和一个ATM的期权,肯定是不能用平均值的。

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