In 2021, the annualized standard deviation of Merck & Co., Inc. (MRK) was 8.92% versus 10.34% for the market. With an assumption that the correlation between MRK's return and the market return is 0.73, MRK’s beta is closest to
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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.
In 2021, the annualized standard deviation of Merck & Co., Inc. (MRK) was 8.92% versus 10.34% for the market. With an assumption that the correlation between MRK's return and the market return is 0.73, MRK’s beta is closest to
1.02.
0.89.
0.63.
0.37.
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- During the past 5-year, the monthly average return and standard deviation of Netflix (NFLX) stock were 3.5% and 10%, respectively. For the same period, the monthly average return and standard deviation of Verizon (VZ) were 0.6% and 4.6%, respectively. The correlation between NFLX and VZ was -0.1. Assume that the monthly risk-free rate is 0.1%. ) What is the Sharpe ratio for NFLX? What is the Sharpe ratio for VZ? Show your calculation steps briefly and clearly. Find the minimum-variance portfolio (MVP), i.e., the weight of NFLX and VZ in the MVP. You do not need to show your calculation steps for this subquestion. Find the optimal risky portfolio P*, i.e., the weight of NFLX and VZ in P*. You do not need to show your calculation steps for this subquestion. Calculate the Sharpe ratio for the optimal risky portfolio P*. Verify that P* offers a higher Sharpe ratio than NFLX and VZ.Colin observed that the standard deviation of the return on the market index is estimated as 9.14%. If Target Corporation (TGT)’s standard deviation is 6.71% and its correlation of returns with the market index is 0.29, TGT’s beta is closest toConsider the following annual returns of Estee Lauder and Lowe’s Companies: EsteeLauder Lowe’s Companies Year 1 23.4 % −6.0 % Year 2 −26.0 16.1 Year 3 17.6 4.2 Year 4 49.9 48.0 Year 5 −16.8 −19.0 Compute each stock’s average return, standard deviation, and coefficient of variation. (Round your answers to 2 decimal places.) ESTEE LAUDER. LOWES COMPANY Average return. %. % Standard deviation % % Coefficient of variation
- 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 4a. 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?(CAPM and expected returns) a. Given the following holding-period returns, LOADING... Month Zemin Corp. Market 1 8 % 5 % 2 5 4 3 0 2 4 −4 −1 5 6 4 6 3 3 , compute the average returns and the standard deviations for the Zemin Corporation and for the market. b. If Zemin's beta is 1.12 and the risk-free rate is 7 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? Question content area…
- A company has a beta of 1.4, the T-bill rate is 2.09%, and the expected return on the market is 9.02%. What is its required rate of return? Do not round your intermediate calculations. Express as a percent rounded to two decimal places.Consider the following annual returns of Molson Coors and International Paper: MolsonCoors International Paper Year 1 21.8 % 5.6 % Year 2 − 9.5 −18.6 Year 3 42.0 −0.4 Year 4 − 9.1 27.7 Year 5 17.3 −12.2 Compute each stock’s average return, standard deviation, and coefficient of variation.The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month Madison Cookies Sophie Electric 1 −0.04 0.072 0.06 −0.023 −0.07 −0.104 0.12 0.155 −0.02 −0.066 0.05 0.02 Compute the following. a. Average monthly rate of return Ri for each stockb. Standard deviation of returns for each stockc. Covariance between the rates of returnd. The correlation coefficient between the rates of returnWhat level of correlation did you expect? How did your expectations compare with the computed…
- The rate of return on General Electric common stock over the coming year is normally distributed with an expected value of 15 percent and a standard deviation of 12 percent. Determine the probability of earning a negative rate of return.The returns of Shanfari Company are as follows: Year 1=4, Year 2=11, Year3=21, Year 4= (-3). The Average Return and Standard Deviation of Shanfari Company are Select one: a. Average Return=6.75%, Standard Deviation=7.15 b. Average Return=8.25%, Standard Deviation=6.50 c. Average Return=8.25%, Standard Deviation=8.87 d. None of the options e. Average Return=7.45%, Standard Deviation=8.50A stock is estimated to have a covariance with the market of 0.45. For the coming period, the market expected return is 10%, the market variance is 0.60 and the market risk-premium is 5%. If the stock is currently trading at RM2.00, use to CAPM to calculate the future price of the stock at the end of the period.