开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

沅昕 · 2023年10月30日

这道题的b请解释一下,不是从0-1里面取一个数,然后以这个数作为累计概率分布的数值取反函数得到随机数吗?

NO.PZ2016062402000039

问题如下:

Previous question:

Consider a stock that pays no dividends, has a volatility of 25% pa, and has an expected return of 13% pa. The current stock price is S0S_0 = $30. This implies the model St+1=St(1+0.13t+0.25tε)S_{t+1}=S_t{(1+0.13\bigtriangleup t+0.25\sqrt{\bigtriangleup t}\varepsilon)}, where ε is a standard normal random variable. To implement this simulation, you generate a path of the stock price by starting at t = 0, generating a sample for e, updating the stock price according to the model, incrementing t by 1, and repeating this process until the end of the horizon is reached.

Q:Which strategies for generating a sample for ε will implement this simulation properly?

A:Generate a sample for ε by using the inverse of the standard normal cumulative distribution of a sample value drawn from a uniform distribution between 0 and 1.

-------------------

Continuing with the previous question, you have implemented the simulation process discussed earlier using a time interval △t= 0.001, and you are analyzing the following stock price path generated by your implementation.

Give this sample, which of the following simulation steps most likely contains an error?

选项:

A.

Calculation to update the stock price

B.

Generation of random sample value for ε

C.

Calculation of the change in stock price during each period

D.

None of the above

解释:

The random variable e should have a standard normal distribution, which means that it should have negative as well as positive values, which should average close to zero. This is not the case here. This is probably a uniform variable instead.

Generate a sample for ε by using the inverse of the standard normal cumulative distribution of a sample value drawn from a uniform distribution between 0 and 1. 是什么意思?

2 个答案
已采纳答案

DD仔_品职助教 · 2023年11月02日

嗨,努力学习的PZer你好:


同学请看第三列数据,选取的都是正数,这不符合假设,所以不正确

----------------------------------------------
努力的时光都是限量版,加油!

DD仔_品职助教 · 2023年10月31日

嗨,从没放弃的小努力你好:


同学你好,

随机数的取值应该是有正有负,而题目给出来的全部都是正数,明显是不正确的。


----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

沅昕 · 2023年11月01日

老师,这个累计概率分布取反函数不是有正有负吗?比如取2%,这个取值不是在左边,是负数吗?