Suppose that a security costs $3,000 today and pays off some amount b in one year. Suppose that b is uncertain according to the following table of probabilities:
b: 3,0000 3,300 3,600 3,900 4,200
Prob: 0.1 0.2 0.3 0.2 0.2
a.) Calculate the return (in percent) for each value of b. (Note: you may just calculate the total return and not worry about how this is split between current yield and capital-gains yield.)
b.) Calculate the expected return (in percent).
c.) Calculate the standard deviation of the return.
d.) Suppose that an investor has a choice between this security or purchasing a different security that also costs $3,000 today but that pays off $3,300 with certainty in one year. How is an investor's choice of which security to purchase related to his degree of risk aversion?