expected market return = risk free + beta*(market return - risk free) So by putting in values: 20.4 = rf+ 1.6(15-rf) expected market return = risk free + beta*(market return - risk free) So by putting in values: 20.4 = rf+ 1.6(15-rf) where rf = risk free 20.4 - 24 = rf - 1.6rf -3.6 = -0.6rf rf = 6
Require Rate of Return is formulated as: Riskfree Rate + Beta(Risk Premium) Required Rate of Return = 4.25 + 1.4 (5.50) = 11.95%
49%....in reality no stock has a beta of 7
E (return) = Rf + Beta[Rm - Rf] = 6 + (7) (13-6) = 55 %
14
13.75= 5 +7(BETA)13.75-5=7BETA8.75/7 = BETA1.25 = BETA
Expected return= risk free rate + Risk premium = 11 rate of return on stock= Riskfree rate + beta x( expected market return- risk free rate)
Require Rate of Return is formulated as: Riskfree Rate + Beta(Risk Premium) Required Rate of Return = 4.25 + 1.4 (5.50) = 11.95%
11.84%
49%....in reality no stock has a beta of 7
In the world of finance: BETA is a measure of the volatility, or systematic risk, of a security or a portfolio in comparison to the market as a whole. Beta is used in the capital asset pricing model (CAPM), a model that calculates the expected return of an asset based on its beta and expected market returns.
E (return) = Rf + Beta[Rm - Rf] = 6 + (7) (13-6) = 55 %
The beta is the relationship of a stock's expected return to the broad market's return. A "high beta" stock will have a beta over 1.00, and thus move up more than the market when the market is advancing, and decline more than the market when the market is declining. A "low beta" stock will decline less than the market, or advance less than the market, depending. The problem with beta is that it assumes a linear relationship, and what you describe here clearly is not. Your stock falls when the market rises a little, and rises more than the market when the market is advancing. To calculate beta, you should look at a longer term analysis of your stock and the market -- say, weekly observations over a year. Most betas are calculated using this length of data. But check formulas -- many different ones are out there. Also remember that beta is only one measure of a stock's performance. Alpha is the performance of a stock that cannot be explained by its beta and the broad market movement. And of course, all of this is a "hypothesis" of market behavior which is useful in understanding broad actions, but very weak in predicting individual stock behavior.
14
2.0%
The CAPM relates the expected return on a security to that of the overall market portfolio. A highly volatile security will have a high covariance with the market portfolio. Since beta equals the covariance of the security with the market portfolio divided by the variance of the market portfolio, the result is a high value of beta. When this high value of beta is plugged into the CAPM formula, all else not changed, the required return on the security (ra) is going to increase, implying investors require a higher return to hold a highly volatile security. t
Beta of a debt is the ration of covariance of the debt return with the market return.If debts are traded then beta of the debt is estimated by regression.
.14=.05+1.5(market return-.05) .09=1.5market return-.075 .165/1.5=market return .11 or 11%=market return