Log in
Finance
1
answer
1
watching
1,500
views

17. Stock A's stock has a beta of 1.30, and its required return is 12.00%. Stock B's beta is 0.80. If the risk-free rate is 4.75%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.)

Watch
1
answer
1
watching
1,500
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Tod Thiel
Tod ThielLv2
28 Sep 2019

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

Calculating the market risk premium beta and required rate of return. CAPM. Portfolio Risk & Return.

We have a portfolio of three positively correlated but not perfectly correlated stocks.

(Correlation co-efficient between 0-1)

Stock Expected Rate of Return Standard Deviation Beta

X 10% 16% .75

Y 12% 16% 1.25

Z 13% 16% 1.50

What is the market risk premium for the portfolio ?

Required Rate of Return For the Stock = Risk Free rate of Return +

+ ( Market Risk Premium * Beta of stock )

Market Risk Premium = Market Required Rate of Return – Risk Free rate of Return

The returns on stocks X, Y and Z and their beta have been provided. Using the information provided, we will first calculate the market risk premium.

The capital asset pricing model is a model based on the proposition that any stock's required rate of return is equal to the risk free rate of return plus a risk premium that reflects only the risk remaining after diversification.

The required rate of return for a stock is calculated by adding the risk free rate of return to the product of the market risk premium and the stock's beta.

The market risk premium shows the premium that investors require for bearing the risk of average stock and is calculated by deducting the risk free rate from the market's required rate of return.

Now, using stock X or any other stock, we can calculate the market risk premium. We'll use stock X. The expected return on this stock is 10%. The risk free rate is 7& and the stock's beta is .75.

By solving the equation we determine the market risk premium to be 4%.

Next, we will calculate the beta of Fund Q.

Fund Q has 1/3 of its funds invested in each of the three stocks X, Y, and Z.

Thus, the beta of Fund Q will be the sum of one third of the beta of each stock. One third of .75 is .25. One third of 1.25 is .4167 and one third of 1.5 is .5. By adding .25, .4167 and .5, we calculate the beta of Fund Q as 1.1667.

Let’s now calculate the required return of Fund Q. The risk free rate is 7%. The market risk premium is calculated to be 4%. The beta of Fund Q is 1.1667. By adding 7% to the product of 4% and 1.1667, we determine the required return on Fund Q to be 11.67%.

Since the returns on the three stocks included in Fund Q are not positively correlated, the standard deviation of the fund will be less than 16%.

Required Rate of Return

Assume that the risk-free rate is 5% and that the market risk premium is 6%.

What is the required rate of return on a stock with a beta of 0.8? __%

What is the required rate of return on a stock with a beta of 2.0? __%

What is the required return on the market? __%

A stock has an expected return of 10 percent, the risk-free rate is 4.5 percent, and the market risk premium is 6 percent. The beta of this stock must be

A stock has an expected return of 12 percent, its beta is 0.55, and the risk-free rate is 7.2 percent. The expected return on the market must be_______ percent.

A stock has an expected return of 15.63 percent, its beta is 1.25, and the expected return on the market is 13 percent. The risk-free rate must be______ percent.

Weekly leaderboard

Home
Homework Help 3,900,000
Finance 370,000
Start filling in the gaps now
Log in