9. Portfolio beta and weights Brandon is an analyst at a wealth management firm. One of his clients holds a $5,000 portfolio that consists of four stocks. The investment allocation in the portfolio along with the contribution of risk from each stock is given in the following table:   Stock Investment Allocation Beta Standard Deviation Atteric Inc. (AI) 35% 0.750 38.00% Arthur Trust Inc. (AT) 20% 1.400 42.00% Li Corp. (LC) 15% 1.300 45.00% Transfer Fuels Co. (TF) 30% 0.500 49.00%   Brandon calculated the portfolio’s beta as 0.888 and the portfolio’s required return as 12.6600%. Brandon thinks it will be a good idea to reallocate the funds in his client’s portfolio. He recommends replacing Atteric Inc.’s shares with the same amount in additional shares of Transfer Fuels Co. The risk-free rate is 6%, and the market risk premium is 7.50%.   A. According to Brandon’s recommendation, assuming that the market is in equilibrium, how much will the portfolio’s required return change? (Note: Do not round your intermediate calculations.)   0.7590 percentage points   0.8184 percentage points   0.6600 percentage points   0.5148 percentage points     Analysts’ estimates on expected returns from equity investments are based on several factors. These estimations also often include subjective and judgmental factors, because different analysts interpret data in different ways.   B. Suppose, based on the earnings consensus of stock analysts, Brandon expects a return of 13.50% from the portfolio with the new weights. Does he think that the required return as compared to expected returns is undervalued, overvalued, or fairly valued?   Fairly valued   Overvalued   Undervalued     C. Suppose instead of replacing Atteric Inc.’s stock with Transfer Fuels Co.’s stock, Brandon considers replacing Atteric Inc.’s stock with the equal dollar allocation to shares of Company X’s stock that has a higher beta than Atteric Inc. If everything else remains constant, the required return from the portfolio would                            .

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
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9. Portfolio beta and weights

Brandon is an analyst at a wealth management firm. One of his clients holds a $5,000 portfolio that consists of four stocks. The investment allocation in the portfolio along with the contribution of risk from each stock is given in the following table:
 
Stock
Investment Allocation
Beta
Standard Deviation
Atteric Inc. (AI) 35% 0.750 38.00%
Arthur Trust Inc. (AT) 20% 1.400 42.00%
Li Corp. (LC) 15% 1.300 45.00%
Transfer Fuels Co. (TF) 30% 0.500 49.00%
 
Brandon calculated the portfolio’s beta as 0.888 and the portfolio’s required return as 12.6600%.
Brandon thinks it will be a good idea to reallocate the funds in his client’s portfolio. He recommends replacing Atteric Inc.’s shares with the same amount in additional shares of Transfer Fuels Co. The risk-free rate is 6%, and the market risk premium is 7.50%.
 
A. According to Brandon’s recommendation, assuming that the market is in equilibrium, how much will the portfolio’s required return change? (Note: Do not round your intermediate calculations.)
 
0.7590 percentage points
 
0.8184 percentage points
 
0.6600 percentage points
 
0.5148 percentage points
 
 
Analysts’ estimates on expected returns from equity investments are based on several factors. These estimations also often include subjective and judgmental factors, because different analysts interpret data in different ways.
 
B. Suppose, based on the earnings consensus of stock analysts, Brandon expects a return of 13.50% from the portfolio with the new weights. Does he think that the required return as compared to expected returns is undervalued, overvalued, or fairly valued?
 
Fairly valued
 
Overvalued
 
Undervalued
 
 
C. Suppose instead of replacing Atteric Inc.’s stock with Transfer Fuels Co.’s stock, Brandon considers replacing Atteric Inc.’s stock with the equal dollar allocation to shares of Company X’s stock that has a higher beta than Atteric Inc. If everything else remains constant, the required return from the portfolio would                            .
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