1. A generous university benefactor has agreed to donate a large amount of money for student scholarships. The money can be provided in one lump-sum of $10mln, or in parts, where $5.5mln can be provided in year 1, and another $5.5mln can be provided in year 2. Assuming the opportunity interest rate is 6%, what is the present value of the second alternative? Which of the two alternatives should be chosen and why? How would your decision change if the opportunity interest rate was 12%? Please, show all your calculations.
2. An angel investor is considering investing in one of two start-up businesses and is evaluating the expected returns along with the risk of each option in order to choose the better alternative.
Business 1 is an innovative protein energy drink, which has ENPV of $100,000 with a standard deviation of $40,000.
Business 2 is a unique chicken wings dipping sauce with an ENPV of $60,000 and a standard deviation of $25,000.
a) Apply the coefficient-of-variation decision criterion to these alternatives to find out which is preferred by the angel investor, assuming that he/she is risk-averse.
b) Apply the maximin criterion, assuming that the worst outcome in Business 1 is to lose $5,000, whereas the worst outcome in Business 2 is to make only $5,000 in profit.
c) If you were the angel investor, what is your certainty equivalent for these two projects? Are you risk-averse, risk-neutral, or risk-lover?