Self-Assessment HW5C (CAPM, Beta portfolio, Portfolio expected return)

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University of Maryland, University College *

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330 7980

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Finance

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Nov 24, 2024

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docx

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Question 1 King Farm Manufacturing Company’s common stock has a beta of 1.74. If the risk-free rate is 3.15 percent, and the market return is 5.59 percent, calculate the required return on King Farm Manufacturing’s common stock. Round the answers to two decimal places in percentage form. (Write the percentage sign in the “units” box) Your Answer: 7.40 % Answer units w Hide Check my answer For this problem we are using CAPM - SML formula: The required rate of return = Risk free rate + Beta* (Market return - Risk free rate) The required rate of return = 3.15% + 1.74*(5.59% - 3.15%) = 7.40% Question 2 Try to determine the required rate of return on Tilden Woods Corporation’s common stock. The firm's beta is 1.53. The rate on a 10-year Treasury bond is 2.59 percent, and the market risk premium is 7.25 percent. Round the answers to two decimal places in percentage form. (Write the percentage sign in the "units" box) Your Answer: 13.68 Answer units. W Hide Check my answer For this problem we are using CAPM - SML formula: The required rate of return = Risk free rate + Beta* (Market return - Risk free rate) The difference (Market return - Risk free rate) is called “Market risk premium’, which is 7.25% in this problem. The required rate of return = 2.59% + 1.53*(7.25%) = 13.68%
Question 3 You hold a portolio with the following securities Security Percent of portfolio Beta Stock A, 46% 244 Stock B 20% 082 Stock C Please calculate it 1.04 Calculate the beta portfolio. Round the answers to two decimal places. Your Answer: Answer w Hide Check my answer Step 1: Calculate percent of portfolio invested in stock C: 100% - 46% - 20% = 34% Step 2: Calculate beta portfolio as the weighted average of betas of stocks included in the portfolio: 1.1224+0.164 + 0.3536 = 1.64 0.46+2.44 + 0.20%0.82 + 0.34* 1.0, Beta portfoli
Question 4 John invested the following amounts in three stocks. Security Tnvestment Beta Stock A, $193,848 124 Stock B $919214 115 Stock C 418,390 156 Calculate the beta portfolio. Round the answers to two decimal places. Your Answer: Answer W Hide Check my answer Step 1: Calculate total investment (total value of the portfolio). $193,848 + $919,214 + $418,390 = 1,531,452 Step 2: Calculate weights of each stock in the portfolio. Stock A: $193,848/51,531,452 = 0.13 Stock B: $919,214/51,531,452 = 0.6 Stock C: $418,390/51,531,452 = 0.27 Step 3: Calculate beta portfolio as the weighted average of betas of stocks included in the portfolio: Beta portfolio = 0.13*1.24 + 0.6°1.15 + 0.27* 1.56 = 0.1612 + 0.69 + 0.42121 = 1.27
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Question 5 Jack holds a portfolio with the following securities: Security Investment Return Stock A, $227,681 9.0% Stock B $981.110 15.5% Stock C 843231 9.8% Calculate the expected return of portfolio. Round the answers to two decimal places in percentage form. (TWrite the percentage sign in the "units" box) Your Answer: 10.44) Answer units. W Hide Check my answer Step 1: Calculate total investment (total value of the portfolio). 227,681+ 981,110 + 843,231 =2,052,022 Step 2: Calculate weights of each stock in the portfolio. Stock A: 227,681/2,052,022 = 0.11095 Stock B: 981,110/2,052,022 = 0.47812 Stock C: 843,231/2,052,022 = 041093 Step 3: Calculate the expected return of portfolio as the weighted average of the expected return of stocks included in the portfolio: 0.99855 + 7.41086 + 4.027114 = 10.44% 0.11095* (-9.0%) + 0.47812 *15.5% + 0.41093* 9.8%
Question 6 You hold a portolio with the following securities Security Percent of portfolio Return Stock A, 54% -1.3% Stock B 18% 44% Stock C Please calculate it 10.0% Calculate the expected return of portfolio. Rownd the answers to two decimal places in percentage form. (TWrite the percentage sign in the "units" box). Your Answer: 2.89 Answer units w Hide Check my answer Step 1: Calculate percent of portfolio invested in stock C: 100% - 54% - 18% = 28% Step 2: Calculate the expected return of portfolio as the weighted average of the expected return of stocks included in the portfolio: 0.54%(-1.3%) + 0.18 * 4.4% + 0.28 * 10.0% = -0.702 + 0.792 + 2.8 = 2.89%