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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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- Annual dividend is $2.97 per share of Stock. The real risk free rate of return is 3.25%. The expected real rate of return on the market is 7.00 percent. The company's beta, B is 1.2. a. Based on this information, what is the percentage of the risk premium on the stock market? b. According to CAPM, what is the appropriate real discount rate?Historical nominal returns for a company have been 16% and -40%. The nominal returns for the market index S&P500 over the same periods were -30% and 28%. Calculate the beta for the company. Assume that using the Security Market Line the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on the market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB). Assume that the short-term risk-free rate is 6%, the market index S&P500 is expected to pay returns of 30% with the standard deviation equal to 40%. Asset A pays on average 10%, has a standard deviation equal to 40% and is NOT correlated with the S&P500. Asset B pays on average 16%, also has a standard deviation equal to 40% and has a correlation of 1 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why.An analyst gathers the following data: * Expected (estimated) rate of return on the market = 15% * Risk Free Rate = 8% * Expected (estimated) rate of return on stock X = 17% * Stock X's beta = 1.75 Using these data and the capital asset pricing model, which of the following statements about X's stock is true? Stock X is: a. properly valued b. overvalued by 1.75% c. undervalued by 1.40% d. undervalued by 0.25%
- a) Historical nominal returns for Coca-Cola have been 8% and -20%. The nominal returns for the market index S&P500 over the same periods were -15% and 28%. Calculate the beta for Coca-cola. b) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B (B). c) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i…a) Historical nominal returns for Coca-Cola have been 8% and -20%. The nominal returns for themarket index S&P500 over the same periods were -15% and 28%. Calculate the beta for Coca-cola. c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (betaA) to beta of B(betaB).d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why.(Hint: Beta of asset i (??)…Mika Corporation's stock had a required return of 11.75% last year, when the risk-free rate was 5.50% and the market risk premium was 4.75%. Then an increase in investor risk aversion caused the market risk premium to rise by 2%. The risk-free rate and the firm's beta remain unchanged. What is the company's new required rate of return?
- Visa, Inc. (V) has a beta of 1.08, is selling for $56.72, and will pay a $2.35 dividend at the end of the year. If the stock is priced at $57.15 at year-end, it is __________, so __________ it. Assume the risk-free rate is 3.05%, and the expected market return is 3.92%. A. underpriced / sell B. underpriced / buy C. overpriced / sell D. fair-valued / holdPorter Plumbing's stock had a required return of 11.00% last year when the risk-free rate was 5.50% and the market risk premium was 4.75%. Then an increase in investor risk aversion caused the market risk premium to rise by 2%. The risk-free rate and the firm's beta remain unchanged. What is the company's new required rate of return? Select the correct answer. a. 13.32% b. 13.42% c. 13.52% d. 13.62% e. 13.72%Thecovarianceofthemarket'sreturnwithaStockA'sreturnis0.003andthestandarddeviation of the market's return is 0.05. Stock A's beta is ________. The risk free rate is 6% and the expected market return is 15%. Stock A's current price is $25 and will pay a $1 dividend at the end of the year. If the stock is priced at $30 at year-end, it is _______. a) 1.2; underpriced, so buy it. b) 1.5; underpriced, so buy it. c) I .2; overpriced, so sell it. d) 1.5; overpriced, so sell it. e) None of the above
- Silver Industries' Y shares have an expected return of 15%, a beta coefficient of 0.8 and a standard deviation of expected returns of 31%. The company's Z shares have an expected return of 11.3%, a beta coefficient of 1.5 and a standard deviation of 25%. The risk-free rate is 5% and the market risk premium is 4%.d. Explain which stock might be more attractive to investors. e. Calculate the return on a portfolio that has $9,200 invested in stock "Y" and $3,500 invested in stock "Z".f. Suppose the market risk premium increases to 7%, which stock would have a higher return?The standard deviation of stock returns of Park Corporation is60%. The standard deviation of the market return is 20%. If thecorrelation between Park and the market is 0.40, what is Park’sbeta? (1.2)You’ve observed the following returns on SkyNet Data Corporation’s stock over the past five years: 19 percent, 24 percent, 11 percent, −9 percent, and 13 percent. Suppose the average inflation rate over this period was 3.6 percent and the average T-bill rate over the period was 4.1 percent.a. What was the average real return on the company’s stock?b. What was the average nominal risk premium on the company’s stock?