1. Suppose that a person won the state lottery and was offered a choice of two prizes:
(1) $500,000 or
(2) a coin-toss gamble in which he/she would get $1 million for heads and zero for tails.
What is the expected dollar return on the gamble?
2. What is the effective annual rate (EAR) if the stated rate is 8 percent and compounding occurs semiannually?