The following data have been developed for Ding Corp. State Market Return 1 2 3 4 Probability 0.10 0.30 0.40 0.20 -0.12 0.03 0.10 0.20 Company Return -0.24 0.00 0.15 0.50 Assume that the risk-free rate is 3%. The covariance between Ding and the Market portfolio is 0.018408. Find the required rate of return for Ding Corp using the Capital Asset Pricing Model (CAPM).
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?The following data have been developed for the Donovan Company:Probability of Stateof NatureState of Nature Market Return, Rm Return for the Firm, Rj0.10 1 -0.15 -0.300.30 2 0.05 0.000.40 3 0.15 0.200.20 4 0.20 0.50The risk-free (Rf) rate is 6%.Calculate the following:(a) The covariance of the return for the Donovan Company with the marketreturn.(b) What is the required return for the Donovan Company? How does thiscompare with its expected return?free rate is 6%, find the beta for a portfolio that has expected rate of returnof 10%.(i). What percentage of this portfolio must an individual put into the marketportfolio in order to achieve an expected return of 10%?Suppose you are given the following inputs for the Fama-Frech-3-Factor model. Required Return for Stock i: bi=0.8, kRF=8%, the market risk premium is 6%, ci=-0.6, the expected value for the size factor is 5%, di=-0.4, and the expected value for the book-to-market factor is 4%. Task: Estimate the required rate of return of this asset using the Capital asset pricing model and compare it with the Fama-French-3-factor model.
- Assume for parts (a) to (h) that the Capital Asset Pricing Model holds. The marketportfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, anexpected value of 7% and a standard deviation of 10%. Stock B’s return has amarket beta of 0.5 and a standard deviation of 20%. The correlation between stockA’s and stock B’s return is 0.5.Required:a) Explain the term ‘capital asset pricing model.’b) What is the risk-free rate?c) What is the expected return on stock B?d) Draw a graph with expected return on the y-axis and beta on the x-axis. Indicate the approximate position of the risk-free asset, the market portfolio and stocks A and B on this graph. Draw the line, which connects these four points.e) Explain the term ‘Securities Market Line’, and what is the slope of the SML for this economy?f) Consider a portfolio with a weight of 50% in stock A and 50% in stock B. What are its variance and expected return?g) Where would under-priced and over-priced securities plot on…Consider the following information about the various states of economy and the returns ofvarious investment alternatives for each scenario. Answer the questions that follow.% Return on T-Bills, Stocks and MarketIndexState of the Economy Probability TBills Phillips PayupRubbermadeMarketIndexRecession 0.2 7 -22 28 10 -13Below Average 0.1 7 -2 14.7 -10 1Average 0.3 7 20 0 7 15Above Average 0.3 7 35 -10 45 29Boom 0.1 7 50 -20 30 43MeanStandard DeviationCoefficient of VariationCovariance with MPCorrelation with Market IndexBetaCAPM Req. ReturnValuation(Overvalued/Undervalued/FairlyValued)Nature of stock(Aggressive/Defensive)Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Each line item is worth 2 marksQuestion 2 Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and…Consider the following information about the various states of economy and the returns ofvarious investment alternatives for each scenario. Answer the questions that follow.% Return on T-Bills, Stocks and MarketIndexState of the Economy Probability TBills Phillips PayupRubbermadeMarketIndexRecession 0.2 7 -22 28 10 -13Below Average 0.1 7 -2 14.7 -10 1Average 0.3 7 20 0 7 15Above Average 0.3 7 35 -10 45 29Boom 0.1 7 50 -20 30 43MeanStandard DeviationCoefficient of VariationCovariance with MPCorrelation with Market IndexBetaCAPM Req. ReturnValuation(Overvalued/Undervalued/FairlyValued)Nature of stock(Aggressive/Defensive)Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Question 2 Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an…
- USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Investment Beta Analyst's Estimated Return Stock X 2.3 15.5% Stock Y 1.2 13.6% Market Portfolio 1.0 11.5% Risk-free rate 4.0% What is the required rate of return for Stock X based on the capital asset pricing model (CAPM)?The following table provides information relating to Omega Ltd, as well as the market portfolio. The risk-free rate of return is 3.4% . Asset Excess Return Variance Beta Omega 12% 0.021904 1.4 M 8.1% 0.010201 1 What is Omega's M2 value? a. 7.41% b. 11.59% c. 8.99% d. 9.27% What is Omega's Sharpe Ratio? a. 0.061 b. 0.811 c. 0.086 d. 0.581 please explain the calculation step by stepConsider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: Stock A has and expected return of 22% and a beta of 2. Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. Q: Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.
- Using the following information determine the expected rate of return for a risky asset using CAPM, consider the following example stocks assuming that you have already computed their betas Stocks Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that you expect the economy RFR to be 6% (0.06) The expected return on the market portfolio (E(Rm)) to be 8% (0.08) A market risk premium of (0.04). Question: What would be the SML required rate of return for the following stocks. A, B,C,D and EThe estimated factor sensitivities of Alpha PLC to Fama-French factors and the risk premia associated with those factors are given in the table below: Factor Sensitivity Risk Premium (%) Market factor 1.20 4.5% Size factor -0.50 2.7% Value factor -0.15 4.3% Required: 1.Based on the Fama-French model, calculate the required return for Alpha PLC using these estimates. Assume that the Treasury bill rate is 4.7 percent. 2. Describe the expected style characteristics of Alpha PLC based on its factor sensitivities.Use the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.65 when the risk-free rate and market return are 8% and 14%, respectively. b. Find the risk-free rate for a firm with a required return of 11.366% and a beta of 1.29 when the market return is 10%. c. Find the market return for an asset with a required return of 7.711% and a beta of 0.89 when the risk-free rate is 4%. d. Find the beta for an asset with a required return of 6.552% when the risk-free rate and market return are 6% and 8.4%, respectively.