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Concept explainers
Portfolio beta is used to measure the portfolio’s overall systematic risk of an investment which equals the weighted average of all individual stock’s beta coefficient in a portfolio.
Here,
The cost of equity or required rate of return is “r”.
The risk-free rate is “
The risk premium is “
The market return is “
The beta coefficient is “
The required rate of return of stock Q is 11%, risk-free rate is 4%, and market return is 9%. As per new information, the market risk premium increase by 1%.
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Chapter 8 Solutions
CFIN (with MindTap Finance, 1 term (6 months) Printed Access Card) (MindTap Course List)
- Karen Kay, a portfolio manager at Collins Asset Management, is using thecapital asset pricing model (CAPM) for making recommendations to her clients.Her research department has developed the information shown in the followingexhibit.Forecast Returns, Standard Deviations, and BetasForecast Return Standard Deviation BetaLow β stock (X) 14.0% 36% 0.8High β stock (Y) 17.0% 25% 1.5Market index 14.0% 15% 1.0Risk-free rate 5.0%(a) Calculate expected return and alpha for each stock.(b) Identify and justify which stock would be more appropriate for an investorwho wants to add this stock to a well-diversified equity portfolio.(c) Now consider Karen employs the “Betting Against Beta” strategy and let, , and denote the portfolio weights of the investmentin each of the asset classes (e.g. risk-free asset, low beta stock, market index,high beta stock, respectively) such that .According to its investment mandate, Collins Asset Management shouldtarget a gross leverage of 2.3. How much does she have to…arrow_forward(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.35 0.30 0.35 Return 13% 14% 18% Common Stock B Return - 6% 7% 16% 20% Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.)arrow_forwardYou 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…arrow_forward
- (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) Common Stock B Return 13% 14% 18% Return - 6% 7% 15% 21% a. Given the information in the table, the expected rate of return for stock A is 14.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.)arrow_forward(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) ew an example Get more help. T 3 a. Given the information in the table, the expected rate of retum for stock A is 15.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) E D 80 73 Return. 12% 16% 18% U с $ 4 R F 288 F4 V Common Stock B % 5 T FS G 6 Return -7% 7% 13% 21% B MacBook Air 2 F& Y H & 7 N 44 F? U J ** 8 M | MOSISO ( 9 K DD O . Clear all : ; y 4 FIX { option [ + = ? 1 Check answer . FV2 } ◄ 1 delete 1 return shiftarrow_forwardSyntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)arrow_forward
- You have been provided the following information as part of a consultation query:The risk free rate is 3.2%The market risk premium (rM - rRF) is 5.3%Stock A - has a beta of 1.2 betaStock B - has a beta of 0.85 beta (a). What is the required rate of return on each stock? (b). Assume that investors become less willing to take on risk (ie., they become more riskaverse), so the market risk premium rises 6%. Assume that the risk-free rate remains constant. What effect will this have on the required rates of return on the two stocks?arrow_forward(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks Given the information that filloors, which investment is better based on the risk (as measured by the standard deviation) and retum? Common Stock A Probability 0,20 0.60 0:20 Return 10% 17% 20% Common Stock B Probability 0.25 0.25 0.25 0.25 (Click on the icon in order to copy its contents into a spreadsheet) Return -6% 5% 16% 23% a. Given the information in the table, the expected rate of retum for stock Ais (Round to two decimal places)arrow_forwardSyntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.25 13% 0.25 −7% 0.50 14% 0.25 7% 0.25 18% 0.25 16% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here %. (Round to two decimal places.) Part 2 The standard deviation of stock A is enter your response here %. (Round to two decimal places.) Part 3 b. The expected rate of return for stock B is enter your response here %. (Round to two decimal places.) Part 4 The standard deviation for stock B is enter…arrow_forward
- Your client is considering purchasing stocks. The actual return of one o his choices follows here. Assist him by calculating the standard deviation and advise him what the risk is. Stock 'A' Actual Returns = 6%, 12%, 8%, 10% 0.0164 0.0258 0.0542 0.1072arrow_forwardStock A has an expected return of 9%, while the market portfolio has an expected return of 6.36%. Stock A has variance 2.56 %, and the risk-free rate is 1%. You are a financial advisor and try to assess quantitatively the risk aversion of one of your clients, giving her a questionnaire about risk-return preferences. From her answers, you conclude that her risk-aversion coefficient is 4. a. Derive the condition under which you could claim that the CAPM holds. b. Derive the condition under which your client would be indifferent between investing her wealth either in the riskless asset or in the market. c) Your client also asks you to show her an alternative portfolio created by mixing the riskless asset with stock A. In this case, which weights would you suggest?arrow_forwardMichael, an analyst at Kitsch Partners (KP), models the stock of the company. Suppose that the risk-free rate rRFrRF = 6.5%, the required market return rMrM = 12.5%, the risk premium for small stocks rSMBrSMB = 3.2%, and the risk premium for value stocks rHMLrHML = 4.8%. Suppose also that Michael ran the regression for Kitsch Partners’s stock and estimated the following regression coefficients: aKPaKP = 0.00, bKPbKP = 0.9, cKPcKP = 0.2, and dKPdKP = 0.3. If Michael uses a Fama-French three-factor model, then which of the following values correctly reflects the stock’s required return? 3.18% 17.94% 7.48% 13.98%arrow_forward
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