In: Finance
Below are the total returns for the market and two companies that comprise the entire industry.
Year |
-4 |
-3 |
-2 |
-1 |
0 |
Weight |
Company A (%) |
–23 |
25 |
30 |
20 |
45 |
0.40 |
Company B (%) |
–13 |
35 |
40 |
15 |
40 |
0.60 |
Market (%) |
-20 |
30 |
30 |
15 |
30 |
a. Use the Market Model to estimate the industry beta. Give the equation of the regression line. Briefly explain. (
REGRESSION EQUATION:
Rj = a + b Rm
For Company A, the equation is 0.003112 + 1.22872 Rm
For Company B, the equation is 0.049787 + 0.965957 Rm
The standard procedure for estimating betas is to regress stock returns (Rj ) against market returns (Rm): Rj = a + b R m where a is the intercept and b is the slope of the regression. The slope of the regression corresponds to the beta of the stock, and measures the riskiness of the stock. The R squared (R2) of the regression provides an estimate of the proportion of the risk (variance) of a firm that can be attributed to market risk. The balance (1 - R2) can be attributed to firm specific risk. The intercept of the regression provides a simple measure of performance during the period of the regression, relative to the capital asset pricing model. The difference between the intercept and Rf (1-b) is Jensen's alpha. If it is positive, your stock did perform better than expected during the period of the regression.