# Compute the rate of return on an asset using the SML

Please show all work so I can understand your conclusion.

An asset has a beta of 1.6. The risk-free rate is 6 percent, and the market risk premium is 8 percent. Using the SML, estimate the required rate of return on this asset.

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#### Solution Summary

With a formula and a sentence of explanation, the problem was solved.

Capital Asset Pricing Model, ROE

1. The capital asset pricing model (CAPM) contends that there is systematic and unsystematic risk for an individual security. Which is the relevant risk variable and why is it relevant? Why is the other risk variable not relevant?

2 a. You expect an RFR of 10 percent and the market return (RM) of 14 percent. Compute the expected return for the following stocks, and plot them on an SML graph.

Stock Beta E ( Ri )

U 0.85

N 1.25

D -0.20

b. You ask a stockbroker what the firm's research department expects for these three stocks. The broker responds with the following information:

Stock Current Price Expected Price Expected Dividend

U 22 24 0.75

N 48 51 2.00

D 37 40 1.25

Plot your estimated returns on the graph from Part a, and indicate what actions you would take with regard to these stocks. Explain your decisions.

3. Describe the components of business risk, and discuss how the components affect the variability of operating earnings (EBIT).

4. The Shamrock Vegetable Company has the following results:

Net sales $6,000,000

Net total assets 4,000,000

Depreciation 160,000

Net income 400,000

Long-term debt 2,000,000

Equity 1,160,000

Dividends 160,000

a. Compute Shamrock's ROE directly. Confirm this using the three components.

b. Using the ROE computed in Part (a), what is the expected sustainable growth rate for Shamrock?

c. Assuming the firm's net profit margin went to 0.04, what would happen to Shamrock's ROE?

d. Using the ROE in Part (c), what is the expected sustainable growth rate? What if dividends were only $40,000?

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