NO.PZ2016082404000035
问题如下:
Which of the following statements is incorrect?
选项: The vega of a European-style call option is
highest when the option is at-the-money.
The delta of a European-style put option moves toward zero as the price of the underlying stock rises.
C.The gamma of an at-the-money European-style option tends to increase as the remaining maturity of the option decreases.
D.Compared to an at-the-money European-style call option, an out-of-the- money European-style option with the same strike price and remaining maturity has a greater negative value for theta.
解释:
ANSWER: D
Vega is highest for ATM European options, so statement A is correct. Delta is negative and moves to zero as S increases, so statement B is correct. Gamma increases as the maturity of an ATM option decreases, so statement C is correct. Theta is greater (in absolute value) for short-term ATM options, so statement D is incorrect.
关于D选项,答案解释错误的原因:Theta is greater (in absolute value) for short-term ATM options, so statement D is incorrect.我觉得和选项表述的不是一回事,我对D选项的理解是:对于theta,无论是call还是put,都小于0,ATM时|theta|最大,OTM和ITM时,with the same strike price and remaining maturity,|theta|更小。