Suppose that there are only two stocks, X and Y, listed in a market. There are 200 outstanding shares of stock X and 600 outstanding shares of stock Y. Current prices per share are pX = 40$ and pY = 20$. (i) What is the market portfolio in this market? Suppose that the expected returns on stocks X and Y are μX = 10% and μY = 20%. Standard deviation of returns are σX = 15% and σY = 30%. Covariance between the returns is zero, that is σXY = 0. (ii) What are the expected return and the standard deviation of return on the market portfolio? 1 (iii) Calculate market betas, βX and βY , for stocks X and Y . Suppose that the risk-free rate of return is r0 = 8%. (iv) Verify that the Security Market Line holds for both stocks.
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