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胖胖 · 2023年10月17日

absolute value of theta

NO.PZ2023041003000057

问题如下:

GI Stock and Option Information

If the price of GI stock approaches $75 over the next 30 days, which of the fol­lowing changes in option parameter measures will most likely be observed?

选项:

A.

Decreases in vega and the absolute value of theta

B.

Increases in vega and the absolute value of theta

C.

A decrease in vega and an increase in the absolute value of theta

解释:

Typically, theta is negative for options. The speed of the option value decline increases, however, as time to expiration decreases. Vega is high when options are at or near the money. During the next 30 days, the options will approach expiration and approach being at the money.

A is incorrect.

C is incorrect. Vega increases as the options become closer to at-the-money.

why would the absolute value of theta increase?


if theta is defined as the passage of time, as 30 days past. The time value would decrease. I am confused to why would theta increase.

1 个答案

李坏_品职助教 · 2023年10月17日

嗨,从没放弃的小努力你好:


theta是期权价格对pass of time的一阶导数。


也就是说,theta表达的是:时间流逝1天,期权价格变动多少?


当时间流逝的时候,期权的时间价值一直在下降,如果股价没有大幅度变动,那期权价格也应该下降(所以期权的theta都是负数。)。越临近到期日,时间价值下降的越快。所以theta的绝对值会变大(就是负的程度变大了)。

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