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皓皓心 · 2024年10月02日

MCS的计算公式里面不是隐含了正态分布的假设吗?

NO.PZ2019040801000071

问题如下:

Monte Carlo simulation is flexible and allow financial engineering to price complex financial instruments, Which of the following statements is not a disadvantage of the Monte Carlo technique when solving problems ?

选项:

A.

High computational costs arise with complex markets and issues.

B.

Results of most Monte Carlo experiments are difficult to replicate.

C.

Simulation results are experiment-specific because financial problems are analyzed based on a specific data generating process and set of equations.

D.

Since Monte Carlo simulations always draw random variables from a normally distributed population, they are not accurate when the input variables have fat tails.

解释:

D is correct

考点:Monte Carlo缺点

解析:蒙特卡洛模拟的输入变量或者参数不一定非要服从正态分布,可以根据实际情况进行调整,分布来满足试验的需求。其缺点主要在于使用分布和实际分布不一致会导致试验结果的偏差。

MCS的计算公式里面不是隐含了正态分布的假设吗?为什么D是对的

1 个答案

李坏_品职助教 · 2024年10月02日

嗨,努力学习的PZer你好:


MCS并不要求资产服从正态分布。你输入的参数可以服从任何分布,缺点是如果你输入参数的分布与实际的函数分布不符合,那会出现问题。


这里的build distribution,指的就是可以使输入参数服从其他分布,不一定非得是normal distribution。

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