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YAO Monica · 2024年03月24日

关于Theta那句话怎么翻译?

NO.PZ2023020101000027

问题如下:

Jeffinsin introduces option Greeks into the conversation, stating, “The BSM model contains six inputs: the stock price, the option’s exercise price, dividends, the risk-free interest rate, time to maturity, and implied volatility. The effect of the BSM model inputs on the price of an option can be measured by the option Greeks. Delta and gamma are measures of the relationship between a change in the stock price and the option price. Theta is a measure that typically approaches zero at an increasing rate as the option approaches maturity. Holding all other factors constant, Vega is a measure that typically is higher whenever an option is “out of the money.

Jeffinsin’s statement about option Greeks is least likely correct with respect to:

选项:

A.

vega.

B.

theta.

C.

delta and gamma.

解释:

A is correct. Jeffinsin’s statement regarding vega is not correct. Vega measures the effect of changes in implied volatility on the price of an option, holding all other factors constant. Vega is high whenever an option trades “near or at the money.” Vega is lower whenever an option is trading ”out of the money.”

B is incorrect. Jeffinsin’s statement with respect to theta is correct. Theta measures the effect of time erosion of an option, holding all other factors constant.

C is incorrect. Jeffinsin’s statement with respect to delta and gamma is correct. Delta and gamma measure the effect of a change in the stock price on an option, holding all other factors constant.

Theta is a measure that typically approaches zero at an increasing rate as the option approaches maturity

是指,随着option到期,theta接近0(即t接近0)。

问题:at an increasing rate说的是什么?

1 个答案
已采纳答案

pzqa35 · 2024年03月25日

嗨,爱思考的PZer你好:


期权的时间价值并非线性衰减,而是随着到期日的临近而加速下降。这是因为在期权的最后几天或几周内,期权的时间价值快速消失,随着到期日的临近,期权持有者对标的资产价格有利变动的期待减少,因为剩余时间变短,标的资产的价格有较少的机会发生大幅度的有利变动,所以期权的时间价值并非线性衰减,而是随着到期日的临近而加速下降

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