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Roseline · 2020年08月27日

问一道题:NO.PZ2016082404000037

问题如下:

An option portfolio exhibits high unfavorable sensitivity to increases in implied volatility and while experiencing significant daily losses with the passage of time. Which strategy would the trader most likely employ to hedge the portfolio?

选项:

A.

  Sell short-dated options and buy long-dated options.

B.

  Buy short-dated options and sell long-dated options.

C.

  Sell short-dated options and sell long-dated options.

D.

  Buy short-dated options and buy long-dated options.

解释:

ANSWER: A

Such a portfolio is short vega (volatility) and short theta (time). We need to implement a hedge that is delta-neutral and involves buying and selling options with different maturities. Long positions in short-dated options have high negative theta and low positive vega. Hedging can be achieved by selling short-term options and buying long-term options.

老师好,关于Theta,我一共有3个问题:

1、Theta衡量的是随着时间的改变,期权价值的变化,对吗?因此随着时间的流逝,期权的time value下降,所以期权的价值下降,所以Theta小于0;

2、越临近到期日,ATM的Theta的绝对值增加,ITM和OTM的Theta的绝对值减小;

3、这道题的experiencing significant daily losses with the passage of time这句话,代表的意思就是当前这个组合的Theta小于0吗?要对冲这个风险,就要使Theta大于0,因此要short 一个期限短的(ATM)的option.


1 个答案
已采纳答案

小刘_品职助教 · 2020年08月28日

同学你好,

1)theta 衡量时间变化对期权理论价值的影响。表示时间每经过一天,期权价值会损失多少。Theta=期权价格的变化/距离到期日时间的变化。一般来说,theta为负,特别特别的情况下theta 为正(欧式put option才可能);

2)一般来说,越临近到期日,theta的绝对值都会逐渐变大的,只是说如果是相同到期时间,ATM的绝对值更大一些;

3)理解正确。

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