Question

The capital asset pricing model (CAPM) is an important model in the field of finance. It explains variations in the rate of return on a security as a function of the rate of return on a portfolio consisting of publicly traded stocks, which is called the market portfolio. Generally, the rate of return on any investment is measured relative to its opportunity cost, which is the return on a risk-free asset. The resulting difference is called the risk premium, since it is the reward or punishment for making a risky investment. The CAPM says that the risk premium on security j is proportional to the risk premium on the market portfolio. That is, rj − rf = βj(rm − rf ) where rj and rf are the returns to security j and the risk-free rate, respectively, rm is the return on the market portfolio, and j is the jth security's ''beta" value. A stock's beta is important to investors, since it reveals the stock's volatility. It measures the sensitivity of security j's return to variation in the whole stock market. As such, values of beta less than one indicate that the stock is ''defensive" since its variation is less than the market's. A beta greater than one indicates an ''aggressive stock." Investors usually want an estimate of a stock's beta before purchasing it. The CAPM model shown above is the ''economic model" in this case. The ''econometric model" is obtained by including an intercept in the model (even though theory says it should be zero) and an error term rj − rf = αj + βj(rm − rf ) + ej (a) Explain why the econometric model above is a simple linear regression model like those discussed in this chapter.

Answer 1

The econometric model given in the question is a simple linear regression model like those discussed in this chapter.

Step-by-step explanation:

The econometric model given is a simple linear regression model like those discussed in this chapter because it follows the same structure. In a simple linear regression model, there is a dependent variable (rj − rf) and an independent variable (rm − rf), just like in the econometric model. The model also includes an intercept (αj) and an error term (ej), which are common components in a linear regression model.