You have run a regression of monthly returns on a stock against monthly returns on the S&P 500 index, and come up with the following output Rstock = 0:25% + 1:25 RMarket; R2 for the regression = 0.60. The current one-year treasury bill rate is 4.8%, the current ten-year bond rate is 7.25% and the current thirty-year bond rate is 8%. The firm has 10 million shares outstanding, selling for $10 per share. The market risk premium using t- bill rate is 8.5% and using t-bond rate is 5.5%
1. What is the expected return on this stock over the next year?
2. Would your expected return estimate change if the purpose was to get a discount rate to analyze a thirty-year capital budgeting project? What is the new estimate?
3. The stock's variance of returns is 900. What is the idiosyncratic risk for the stock?
4. If the variance of market returns is 345.6 what is the covariance between the return on the stock and return on the market?
5. What proportion of the risk of this stock is due to the market?