问题 单项选择题

An equity investment of $750000 in a private company will pay $19000000 at the end of five years if the company is successful. The following is estimates of the probability of failure for each year, given that it survives to the beginning of each year:

Year Probability of Failure
1 0.40
2 0.35
3 0.30
4 0.25
5 0.20
If the company fails, the payoff is $0 (no money is recovered). If the investor's cost of equity for an investment with similar risk characteristics of this company is 20 percent, the net present value of the equity investment is closest to:()

A. $377873

B. $500723

C. $623573

答案

参考答案:B

解析:

成功的可能性:(1-0.40)×(1-0.35)×(1-0.30)×(1-0.25)×(1-0.20)=0.1638,由此得股权投资的净现值:

0.1638×[$190000001(1+20%)5-$750000]+(1-0.1638)×(-$750000)=$500723。

单项选择题
单项选择题