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世纪之龙5 · 2024年03月14日

论点二的现象是哪来的,还有哪些相关的现象

NO.PZ2018122701000085

问题如下:

Below are statements about equity option volatility:

I.Deep out-of-the money options have higher implied price volatility than at-the-money options.

II.“Crashophobia” is a phenomenon which actual stock prices in the market decease sharply and volatility increases

III.In comparison with the lognormal distribution, the equity option volatility has the same probability of large downward movements and large upward movements.

IV.An increase in leverage if stock price goes down will increase the volatility

The most appropriare statement(s) is /are:

选项:

A.I and II B.III and IV C.II and III D.IV only

解释:

D is correct.

考点 Volatility Smile

解析

I is incorrect. There is higher implied price volatility for low strike price equity options. For call option, deep in-the-money option has higher implied price volatility, but for put option, deep out-of-the money options have higher implied price volatility.

II is incorrect. "Crashophobia" is based on the idea that large price declines are more likely than assumed in Black-Scholes-Merton prices, not that volatility increases when prices decline.

III is incorrect.Compared to the lognormal distribution, traders believe the probability of large down movements in price is higher than large up movements.

IV is correct. Increasing leverage at lower equity prices suggests increasing volatility.

如题

1 个答案
已采纳答案

pzqa27 · 2024年03月14日

嗨,从没放弃的小努力你好:



价格下降时波动率增大这个逻辑本身没有错,但是这个并不是在描述崩盘恐惧症。

崩盘恐惧症是用来解释equity volatility smile的,而价格下降时波动率增大也是用来解释equity volatility smile的,其中价格下降时波动率增大的原因有2个,第一是因为杠杆,第二是因为volatiltiy feedback effect。但是这俩都不是崩盘恐惧症。

真正的崩盘恐惧症的解释如下图所示,它并不是描述价格下降时波动率增大这个现象的。

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NO.PZ2018122701000085问题如下 Beloware statements about equity option volatility: I.epout-of-the money options have higher implieprivolatility that-the-moneyoptions. II.“Crashophobi is a phenomenon whiactustoprices inthe market cease sharply anvolatility increases III.Incomparison with the lognormstribution, the equity option volatility hasthe same probability of large wnwarmovements anlarge upwarmovements. IV.Anincrease in leverage if stoprigoes wn will increase the volatilityThe most appropriarestatement(s) is /are: A.IanIIB.IIIanIVC.IIanIIIIVonly is correct. 考点 Volatility Smile 解析 I is incorrect. There is higher implieprivolatility for low strike priequity options. For call option, ep in-the-money option h higher implieprivolatility, but for put option, epout-of-the money options have higher implieprivolatility. II is incorrect. \"Crashophobia\" is baseon the ia thlarge priclines are more likely thassumein Black-Scholes-Merton prices, not thvolatility increases when prices cline. III is incorrect.Compareto the lognormstribution, trars believe the probability of large wn movements in priis higher thlarge up movements. IV is correct. Increasing leverage lower equity prices suggests increasing volatility. 价格下降时波动率增大,这个逻辑哪里错了哦

2024-02-28 22:59 1 · 回答

NO.PZ2018122701000085 可以详细下第三为什么是错的吗~

2021-08-02 16:14 1 · 回答

NO.PZ2018122701000085 III.In comparison with the lognormstribution, the equity option volatility hthe same probability of large wnwarmovements anlarge upwarmovements.  这一条可以怎么改正呢? 我想作为结论理解记忆

2021-02-17 23:42 1 · 回答

老师好,II statement,是错在对“crashophobia”的概念理解和表述都错误吗?

2021-01-02 17:57 1 · 回答