You have been assigned the task of estimating the expected returns for three different stocks: QRS, TUV, and WXY. Your preliminary analysis has established the historical risk premia associated with three risk factors that could potentially be included in your calculations: the excess return on a proxy for the market portfolio (MKT), and two variables capturing general macroeconomic exposures (MACRO1 and MACRO2). These values are: AMKT = 7.5 percent, AMACRO1 = -0.3 percent, and AMACRO2 = 0.6 percent. You have also estimated the following factor betas (loadings) for all three stocks with respect to each of these potential risk factors: FACTOR LOADING Stock MKT MACRO1 MACRO2 QRS 1.24 -0.42 0.00 TUV 0.91 0.54 0.23 WXY 1.03 -0.09 0.00 a. Calculate expected returns for the three stocks using just the MKT risk factor. Assume a risk-free rate of 4.5 percent. b. Calculate the expected returns for the three stocks using all three risk factors and the same 4.5 percent risk-free rate. c. Discuss the differences between the expected return estimates from the single-factor model and those from the multifactor model. Which estimates are most likely to be more useful in practice? d. What sort of exposure might MACRO2 represent? Given the estimated factor betas, is it really reasonable to consider it a common (systematic) risk factor?
You have been assigned the task of estimating the expected returns for three different stocks: QRS, TUV, and WXY. Your preliminary analysis has established the historical risk premia associated with three risk factors that could potentially be included in your calculations: the excess return on a proxy for the market portfolio (MKT), and two variables capturing general macroeconomic exposures (MACRO1 and MACRO2). These values are: AMKT = 7.5 percent, AMACRO1 = -0.3 percent, and AMACRO2 = 0.6 percent. You have also estimated the following factor betas (loadings) for all three stocks with respect to each of these potential risk factors: FACTOR LOADING Stock MKT MACRO1 MACRO2 QRS 1.24 -0.42 0.00 TUV 0.91 0.54 0.23 WXY 1.03 -0.09 0.00 a. Calculate expected returns for the three stocks using just the MKT risk factor. Assume a risk-free rate of 4.5 percent. b. Calculate the expected returns for the three stocks using all three risk factors and the same 4.5 percent risk-free rate. c. Discuss the differences between the expected return estimates from the single-factor model and those from the multifactor model. Which estimates are most likely to be more useful in practice? d. What sort of exposure might MACRO2 represent? Given the estimated factor betas, is it really reasonable to consider it a common (systematic) risk factor?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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| You have been assigned the task of estimating the expected returns for three different stocks: QRS, TUV, and WXY. Your preliminary analysis has established the historical risk premia associated with three risk factors that could potentially be included in your calculations: the excess return on a proxy for the market portfolio (MKT), and two variables capturing general |
| FACTOR LOADING | |||
| Stock | MKT | MACRO1 | MACRO2 |
| QRS | 1.24 | -0.42 | 0.00 |
| TUV | 0.91 | 0.54 | 0.23 |
| WXY | 1.03 | -0.09 | 0.00 |
| a. Calculate expected returns for the three stocks using just the MKT risk factor. Assume a risk-free rate of 4.5 percent. |
| b. Calculate the expected returns for the three stocks using all three risk factors and the same 4.5 percent risk-free rate. |
| c. Discuss the differences between the expected return estimates from the single-factor model and those from the multifactor model. Which estimates are most likely to be more useful in practice? |
| d. What sort of exposure might MACRO2 represent? Given the estimated factor betas, is it really reasonable to consider it a common (systematic) risk factor? |
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