A borrower is considering investing his 10 units of borrowed capital in a safe project, which will yield 12 for sure by the time the loan comes due, and a risky project thatwill either yield 25 orzero, eachwithprobability one-half. Thelender's cost of capital is zero, and she charges an interest rate of 10 percent. The borrower has no collateral, and both borrower and lender are "risk neutral." Show it is in the borrower's interest to undertake the risky project, and in the lender's interest that the safe project be undertaken.