Assume that the economy will be either strong or weak in one year. You have access to three securities that have different risky payoffs. The following table illustrates today's market prices and gross $-payoffs that you will receive in one year from each security.

Cash Flow in one Year

Price today Weak Economy Strong Economy

Security A $400 $0 $880

Security B $430 $880 $0

Security C unknown $880 $4400

1.Based on the information provided in the table, please determine:

a.the risk-free rate in a competitive market in the absence of arbitrage.

b.the price of security C in a competitive market in the absence of arbitrage

2.Assume for this subpart that the strong economy and the weak economy are equally likely. Compute the expected returns for security A and security B. Compare these to the risk-free rate. Describe and discuss your observations. Address, in particular:

a.Do you believe that securities A and B should have different returns? Why or why not?

b.If you have done your computations correctly, you will see that security B has a an expected rate of return that is below the risk-free rate. Would you expect investors to hold it in their portfolios? Why or why not?