Question:

a) Give an analytical derivation of the Capital Asset Pricing Model (CAPM) and supplement your analysis with diagrammatic illustrations where appropriate.

b) The shares of BFC Inc, a company in the hotel sector, have a beta (β) of 1.10. What does this imply for the variation in BFC Inc equity returns vis-à-vis the returns on the market. If the expected return on the market portfolio is 15.5% and the risk-free rate is 6.5%, what is the expected return on BFC Inc equity?

c) Using the result from part (b), price BFC Inc stock that has just paid a dividend of $3 per share and has a dividend growth of 5% forever.

d) Assuming now that BFC Inc has just paid the same dividend as in (c) above, but dividend is projected to grow at a 10 % rate for the next five years after which the growth rate will drop to 5% and stay at that rate forever. Using the same discount rate as calculated in (b), what is the intrinsic value of the stock today? What are the implications of such valuation for you as an investor?