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水瓶公主 · 2023年03月03日

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NO.PZ2016082404000032

问题如下:

Ms. Zheng is responsible for the options desk in a London bank. She is concerned about the impact of dividends on the options held by the options desk. She asks you to assess which options are the most sensitive to dividend payments. What would be your answer if the value of the options is found by using the Black-Scholes model adjusted for dividends?

选项:

A.

  Everything else equal, out-of-the-money call options experience a larger decrease in value than in-the-money call options as expected dividends increase.

B.

  The increase in the value of in-the-money put options caused by an increase in expected dividends is always larger than the decrease in value of in-the-money call options.

C.

  Keeping the type of option constant, in-the-money options experience the largest absolute change in value and out-of-the-money options the smallest absolute change in value as expected dividends increase.

D.

  Keeping the type of option constant, at-the-money options experience the largest absolute change in value and out-of-the-money options the smallest absolute change in value as a result of dividend payment.

解释:

ANSWER: C

OTM call options are not very sensitive to dividends, as indicated in Figure, so answer A is incorrect. This also shows that ITM options have the highest ρ\rho\astρ in absolute value.

应该是哪个字母的考察

1 个答案

品职答疑小助手雍 · 2023年03月03日

同学你好,一般来说dividend影响的是rf,你可以看一下BSM那一章,关于带dividend的期权修正的公式,修正的位置就是在rf那里,所以考的是就是希腊字母Rho。

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NO.PZ2016082404000032问题如下 Ms. Zheng is responsible for the options sk in a Lonn bank. She is concerneabout the impaof vin on the options helthe options sk. She asks you to assess whioptions are the most sensitive to vinpayments. Whwoulyour answer if the value of the options is founusing the Black-Scholes mol austefor vin?   Everything else equal, out-of-the-money call options experiena larger crease in value thin-the-money call options expectevin increase.   The increase in the value of in-the-money put options causeincrease in expectevin is always larger ththe crease in value of in-the-money call options.   Keeping the type of option constant, in-the-money options experienthe largest absolute change in value anout-of-the-money options the smallest absolute change in value expectevin increase.   Keeping the type of option constant, at-the-money options experienthe largest absolute change in value anout-of-the-money options the smallest absolute change in value a result of vinpayment. ANSWER: COTM call options are not very sensitive to vin, so answer A is incorrect. This also shows thITM options have the highest ρ∗\rho\astρ∗ in absolute value. 什么呢?想不明白

2024-04-27 10:26 1 · 回答

     老师你好,请问A该怎么分析,错在哪里了呢?谢谢

2019-11-05 14:48 1 · 回答

     老师,C对于put option成立吗?对于put option,value=Max(0,X-St/e^δ*t),假设分红变大(趋近于无限大),St/e^δ*t→0,put option的价值趋近于X。因此对于ITM的put option,价值变动量是从原始的数值(因为是ITM,所以这个值肯定大于0)变动到最大的X;而对于OTM的put option,价值变动量是从0变动到X,因此,对于put option来说,当vin限增大时,OTM价值变动绝对值 ITM价值变动的绝对值。  

2019-11-03 14:54 1 · 回答

     看了下之前的解析都是说分红影响S,因此分析lta。但答案中图片是Rho,能否从这个角度讲一下呢?谢谢

2019-10-22 03:19 2 · 回答