An investor owns $1000$ shares of a particular stock. The current market price is $$50.$ What is

the "worst case" value of the portfolio in one year? For this question, define the worst$-$case

value of the portfolio as the value which is such that there is a $95\%$ chance of the actual value

being greater. Assume that the log return of the stock follows a normal distribution and the

expected one$-$year log return and volatility are $8\%$ and $25\%$ respectively.