An investor considers two mutual funds. Based on past experience, the first fund has an expected return of 0.08 and a standard deviation of 0.05. The second fund has an expected return of 0.07 and a standard deviation of 0.06. There is no reason to assume that future performance of these funds will differ from past performance. However, the second fund has a guarantee attached that the return in any year will not be negative.
a. Which fund would a rational investor be likely to buy according to single- person decision theory?
b. The investor buys the second fund. Use prospect theory to explain why.