Rollo Megabux has $1 million to invest in stocks or bonds. The percentage yield on each investment during the coming year depends on whether the economy has a good or a bad year (see Table).

 

Economy Has Good Year

Economy Has Bad Year

Yield on stocks

22%

10%

Yield on bonds

16%

14%

It is equally likely that the economy will have a good or a bad year.

Suppose Rollo cannot hire the consulting firm, and his utility function for ending cash position is u(x) = ln x. How much money should he invest in stocks and bonds?