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
= $30. This implies the model , 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?