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Rafael is an analyst at a wealth management firm

Finance Jan 23, 2021

Rafael is an analyst at a wealth management firm. One of his clients holds a $7, 500 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: Rafael calculated the portfolio's beta as 0.950 and the portfolio's expected return as 9.23%. Rafael 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 4%, and the market risk premium is 5.50%. According to Rafael's recommendation, assuming that the market is in equilibrium, how much will required return change? 0.60 percentage points 0.77 percentage points 0.96 percentage points 0.89 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. Suppose, based on the earnings consensus of stock analysts, Rafael expects a return of 6.96% from the portfolio with the new weights. Does he think that the revised portfolio, based on the changes he recommended, is undervalued, overvalued, or fairly valued? Overvalued Fairly valued Undervalued

Expert Solution

a.

portfolio required return change = 35% × [(4% + 5.50% × 0.9) - (4% + 5.50% × 0.50)]

= 35% × (8.95% - 6.75%)

= 35% × 2.20%

= 0.77%

Portfolio required rate of return change by 0.77%.

b.

New Beta = (65% × 0.50) + (15% × 1.10) + (20% × 1.60)

= 0.325 + 0.165 + 0.320

= 0.81

New required rate of return = 4% + (0.81 × 5.50%)

= 4% + 4.4455%

= 8.4455%

New Required rate of return is 8.4455%.

rafael expect retunr of 6.96% from portfolio with new weight but actual return is 8.4455%. So required rate of return with new weight is overvalued.

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