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What are the betas listed for these companies? Wells Fargo beta = 1.03 BM beta = 0.87 1.

1. Apply the Capital Asset Pricing Model (CAPM) Security Market Line to estimate the required return on these two stocks. Assumptions and Data: Note that you will need the risk-free rate and the market risk premium. Assume a 5% market risk premium. You will use the current 2.21 yield on 10-year Treasury securities as the risk-free rate to estimate the required rate of return on stocks.

2.. Compare the required return on these stocks calculated using CAPM in question #1 against their historical return over the last 52 weeks (Wells Fargo 59.99) and IBM (182.79). Is there a difference between these returns? Is this a problem? Why is there a difference?

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Tod Thiel
Tod ThielLv2
28 Sep 2019

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What are the betas listed for these companies?

Wells Fargo beta = 1.03

IBM beta = 0.87

1. If you made an equal dollar investment in each stocks what would be the beta of your portfolio?

2. If you made 70% of dollar investment in stock A, and 30% of dollar investment in stock B, what would be the beta of your portfolio? Please show your work.

3. Apply the Capital Asset Pricing Model (CAPM) Security Market Line to estimate the required return on these two stocks. Assumptions and Data: Note that you will need the risk-free rate and the market risk premium. Assume a 5% market risk premium. You will use the current 2.21 yield on 10-year Treasury securities as the risk-free rate to estimate the required rate of return on stocks.

4. Compare the required return on these stocks calculated using CAPM in question #3 against their historical return over the last 52 weeks (Wells Fargo 59.99) and IBM (182.79). Is there a difference between these returns? Is this a problem? Why is there a difference?

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%.

26.

Which of the following statements is CORRECT? (Assume that the risk-free rate is a constant.)

a. If the market risk premium increases by 1%, then the required return will increase for stocks that have a beta greater than 1.0, but it will decrease for stocks that have a beta less than 1.0.
b. The effect of a change in the market risk premium depends on the level of the risk-free rate.
c. If the market risk premium increases by 1%, then the required return will increase by 1% for a stock that has a beta of 1.0.
d. The effect of a change in the market risk premium depends on the slope of the yield curve.
e. If the market risk premium increases by 1%, then the required return on all stocks will rise by 1%

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