Capitial Investment hired a new analyst Jack Lee to evaluate a portfolio consisting of two stocks, Meta Platforms Inc (FB) and Walmart Inc (WMT). After exercising due diligence, Jack forecasts FB stock has an expected return of 15% and standard deviation of 25%, while WMT stock has an expected return of 10% and standard deviation of 20%. The correlation coefficient between stock returns of FB amd WMT is 0.4 and risk-free rate is 3%. If Jack is asked to design a optimal portfolio based on the above forecast, the proportion of the optimal risky portfolio that should be invested in WMT stock is O 52.3% O 36.7% O 63.3% O 47.7%
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- Ahmed observed the following data of two stocks as shown in the below table. Which stock do you advise Ahmed to select according to the required rate of return? And explain why? Stock A Stock B Market Standard Deviation Return 30% 30% 22% Correlation Coefficient between A & M -30% Correlation Coefficient between B & M 30% Expected Market Return 11% Risk-Free rate of return 5%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 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.)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 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…
- From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be recommend if investment in individual stock is to be made? Justify answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65 0.65Michael, 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%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…
- From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be best recommend if investment in individual stock is to be made? Justify the answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 7%, and the market's average return was 14%. Performance is measured using an index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, o(e) Standard deviation of excess returns. i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure Stock A a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) % Stock A 1% +1.2(rm rf) % 0.635 11.3% 22.6% Stock B % % Stock B 2% +0.8( rm -rf) b. Which stock is the best choice under the following circumstances? 0.466 20.1% 26.9% i. This is the only risky asset to be held by the investor. ii. This stock will be mixed with the rest of the investor's portfolio, currently composed solely of holdings in the market-index fund. iii. This is one of many stocks that the investor is analyzing to form an actively managed stock…Landon Stevens is evaluating the expected performance of two common stocks, Furhman Labs, Inc., and Garten Testing, Inc. The risk-free rate is 4 percent, the expected return on the market is 11.5 percent, and the betas of the two stocks are 1.2 and .9, respectively. Landon’s own forecasts of the returns on the two stocks are 13.75 percent for Furhman Labs and 10.50 percent for Garten. Calculate the required return for each stock. Is each stock undervalued, fairly valued, or overvalued?
- Landon Stevens is evaluating the expected performance of two common stocks, Furhman Labs, Inc., and Garten Testing, Inc. The risk- free rate is 4.0 percent, the expected return on the market is 121 percent, and the betas of the two stocks are 1.2 and .9, respectively. Landon's own forecasts of the returns on the two stocks are 14.40 percent for Furhman Labs and 11.10 percent for Garten. a. Calculate the required return for each stock. (Do not round Intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Stock Required Return Furhman Labs Garten Testing % % b. Is each stock undervalued, fairly valued, or overvalued? Furhman Labs Undervalued Overvalued Fair valued Garten Testing Overvalued Undervalued Fair valuedKeith holds a portfolio that is invested equally in three stocks (wDwD = wAwA = wIwI = 1/3). Each stock is described in the following table: Stock Beta Standard Deviation Expected Return DET 0.7 25% 8.0% AIL 1.0 38% 10.0% INO 1.6 34% 13.5% An analyst has used market- and firm-specific information to make expected return estimates for each stock. The analyst’s expected return estimates may or may not equal the stocks’ required returns. The risk-free rate [rRFrRF] is 6%, and the market risk premium [RPMRPM] is 4%. Use the following graph with the security market line (SML) to plot each stock’s beta and expected return. (Note: Click on the points on the graph to see their coordinates.) Stock DETStock AILStock INO00.20.40.60.81.01.21.41.61.82.020181614121086420RATE OF RETURN (Percent)RISK (Beta) A stock is in equilibrium if its required return its expected return. In general, assume that markets and stocks are in equilibrium (or fairly valued),…The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2.1% over the coming month. Beta 1.1 R-square 0.65 a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your answer to 1 decimal place.) Residual standard deviation Standard Deviation of Residuals 0.13 (1.e., 13% monthly) Probability of a loss b. Calculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100 stocks over the next month. Assume the risk-free rate is 0.3% per month. (Do not round intermediate calculations. Enter your answer as percent rounded to 5 decimal places.) % %