You have the following data on the securities of three firms. If the risk-free rate last year was 3%, and the return on the market was 11%, which firm had the best performance on a risk-adjusted basis? Use CAPM to calculate expected returns and compare them with actual returns. Return last year Beta Firm A 10% 1.12 Firm B 11% 1.0 Firm C 12% 0.65 O Firm B O Firm C O There is no difference in performance on a risk-adjusted basis O Firm A
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- (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 Common Stock B Probability Return Probability Return0.20 10% 0.15 -4% 0.60 16% 0.35 7%0.20 21% 0.35 13% 0.15 20% a) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, what is the expected rate of return for stock A? What is the standard deviation? b. Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, what is the expected rate of return for stock B? What is the standard deviation? c. Based on the risk (as measured by the standard deviation) and return of each stock, which…(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.)(Related to Checkpoint 8.3) (CAPM and expected returns) a. Given the following holding-period returns, compute the average returns and the standard deviations for the Sugita Corporation and for the market. b. If Sugita's beta is 1.03 and the risk-free rate is 7 percent, what would be an expected return for an investor owning Sugita? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Sugita's historical average return compare with the return you should expect based on the Capital Asset Pricing Model and the firm's systematic risk? a. Given the holding-period returns shown in the table, the average monthly return for the Sugita Corporation is 2.167 %. (Round to three decimal places.) The standard deviation for the Sugita Corporation is 3.19 %. (Round to two decimal…
- Q2) Consider the following information given below and do the following; a) Estimate monthly expected returns and the associated risk (Standard devistion) for each of the company A,B C securities b) Rank securities of company A, B, and C from the most preferred to the least preferred, assuming that the rational investor behavior holds. Year Return of Company A Return of Company B Return of Company C 1 4.20% 4.08% 1.07% -2.71% -2.73% -5.44% 4.15% 18.12% 0.74% 4 3.68% 1.60% -10.78% 2.You are given the following partial covariance and correlation tables from historical data: Securities J K Market Securities J K Market 1.24 1.11 1.17 1.03 Covariance Matrix K 0.90 J 0.0020480 0.0021600 Also, you have estimated that the market's standard deviation is 4.3 percent. For the coming year, the expected return on the market is 14.0 percent and the risk-free rate is expected to be 4.0 percent. Given this information, determine the beta for Security K for the coming year, assuming CAPM is the correct model for required returns. Correlation Matrix K 0.60 1.00 0.90 1.00 0.60 0.80 Market 0.0020480 0.0021600 Market 0.80 0.90 1.00 Ston sharing Hidel lines We(Related to Checkpoint 8.3) (CAPM and expected returns) a. Given the following holding-period returns, LOADING... , compute the average returns and the standard deviations for the Sugita Corporation and for the market. b. If Sugita's beta is 1.89 and the risk-free rate is 6 percent, what would be an expected return for an investor owning Sugita? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Sugita's historical average return compare with the return you should expect based on the Capital Asset Pricing Model and the firm's systematic risk? Month Sugita Corp. Market 1 2.4 % 1.0 % 2 −0.8 2.0 3 1.0 2.0 4 −1.0 −1.0 5 6.0 7.0 6 6.0…
- a. Given the following holding-period returns, (Below)compute the average returns and the standard deviations for the Sugita Corporation and for the market. b. If Sugita's beta is 1.18and the risk-free rate is 4 percent, what would be an expected return for an investor owning Sugita? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Sugita's historical average return compare with the return you should expect based on the Capital Asset Pricing Model and the firm's systematic risk?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).Suppose that you have estimated the CAPM betas for the equity shares of the following two firms: Levi Strauss & Co. ( NYSE: LEVI): \beta ^ LEVI = 1.10 Tesla Inc. (Nasdaq: TSLA) : \beta ^ TSLA = 1.90 Assume that the risk - free rate is estimated at 4%, stable over the entire CAPM estimation period, and will remain in the foreseeable future. Answer questions a) and b) below. (Lecture notes p.12, pp.15-17) Suppose the expected return on S&P 500 index, a proxy for the market portfolio, is estimated at 17%. Find the CAPM required returns on equity shares of Levi's and Tesla, respectively. Answer (show the steps/calculation toward your results): Suppose the market risk premium is estimated at 9%. Find the CAPM required returns on equity shares of Levi's and Tesla, respectively. Answer (show the steps/calculation toward your results):
- (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 risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return .30 11% .20 25% .40 15% .30 6% .30 19% .30 14% .20 22%K (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 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)a. Given the following holding-period returns, LOADING... , compute the average returns and the standard deviations for the Zemin Corporation and for the market. b. If Zemin's beta is 1.87 and the risk-free rate is 6 percent, what would be an expected return for an investor owning Zemin? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Zemin's historical average return compare with the return you believe you should expect based on the capital asset pricing model and the firm's systematic risk? Month Zemin Corp. Market 1 5 % 6 % 2 2 1 3 2 0 4 −4 −1 5 4 3 6 3 4
