You have $1,000 to invest and are considering buying some combination of the shares of two companies, Donkey Inc and Elephant Inc. Shares of Donkey Inc will pay a 10 percent return if the Democrats are elected, an event you believe to have a 60 percent probability; otherwise the shares pay a zero return. Shares of Elephant Inc will pay 8 percent if the Republicans are elected (a 40 percent probability), zero otherwise. Either the Democrats or the Republicans will be elected.
a)What is your expected return if you invest $500 in each stock? (Hint: Consider what your return will be if the Democrats win and if the Republicans win, then weight each outcome by the probability that event occurs.)
B) Devise an investment strategy that is riskless, that is, one in which the return on your $1,000 does not depend at all on which party wins.