a) What happens to the future value of an annuity if you increase the rate r? What happens to the present value? b) Who owns a Corporation? Describe the process whereby the owners control the firms management. What is the main reason that an agency relationship exists in the corporate form of organization? In this context what kinds of problems can arise? c) Is the following statement true or false? A risky security cannot have an expected return that is less than the risk-free rate because no risk-averse investor would be willing to hold this asset in equilibrium. Explain. d) Is it possible that a risky asset could have a beta of zero? Explain. Based on the CAPM what is the expected return on such an asset? Is it possible that a risky asset could have a negative beta? What does the CAPM predict about the expected return on such an asset? Can you give an explanation for your answer? e) In broad terms why is some risk diversifiable? Why are some risks nondiversifiable? Does it follow that an investor can control the level of unsystematic risk in a portfolio but not the level of systematic risk?