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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.
The risk-free rate is 3 percent, the expected return on the PSEi is 13 percent, and its standard deviation is 23 percent. XYZ co, has a standard deviation of 50 percent and a correlation of 65 with the market.
Calculate XYZ beta and expected return then explain the role of a security’s beta in the calculation of expected returns
Step by step
Solved in 2 steps with 2 images
- Security A has an expected rate of return of 6%, a standard deviation of returns of 30%, a correlation coefficient with the market of −0.25, and a beta coefficient of −0.5. Security B has an expected return of 11%, a standard deviation of returns of 10%, a correlation with the market of 0.75, and a beta coefficient of 0.5. Which security is more risky? Why?The risk-free rate and the expected market rate of return are 0.06 and 0.12 respectively. Using the CAPM model the expected rate of return of a security with a beta of 1.2 would beThe risk-free rate and the expected market rate of return and 0.056 and 0.125. Using the CAPM model, the expected rate of return of a security, that you are interested in, has a beta of 1.25 would be equal to Calculate the expected rate of return
- Security A has an expected return of 7%, a standard deviation of returns of35%, a correlation coefficient with the market of 20.3, and a beta coefficientof 21.5. Security B has an expected return of 12%, a standard deviation ofreturns of 10%, a correlation with the market of 0.7, and a beta coefficient of1.0. Which security is riskier? Why?The risk-free rate and the expected market rate are 6% and 12%, resp. According to the CAPM, the expected rate of return on security X with a beta of 1.2 is equal to .%Which of the following statements about the Security Market Line are correct? I. The intercept point is the market rate of return. II. The slope of the line is beta. III. An investor should accept any return located above the SML line. IV. A beta of 0.0 indicates the risk-free rate of return
- Expected return of the X security is 12% and its standard deviation is 20%. Expected return of the Y security is 15% and its standard deviation is 27%. If, the correlation coefficient of the two securities is 0.7; then, what is the covariance between these two securities? A) 0.038B) 0.070C) 0.018D) 0.013E) 0.054Which of the two securities are the best? By using probability estimates, below is the computation of ff. statistics: Statistic Security A Security B Expected return Standard deviation 12% 20% 8% 10% Requirement Calculate the coefficient of variation for each security Explain why the standard deviation and coefficient of variation give different ranking of risk. Which method is superior and why?Security A has an expected rate of return of 22% and a beta of 2.5. Security B has a beta of 1.2. If the risk-free rate is 10%, what is the expected rate of return of security B?
- A security has an expected rate of return of 0.11 and has a beta (B) of 1.5. The risk-free rate is 0.05 and the market expected rate of return is 0.09. Show whether this security is underpriced, fairly priced or overpriced. 1. The returns on share A follow the market model with coefficients aa = 0.01, Ba = 1.25. If at time t, K MT = 0.02 and the actual return on share A is 0.025, calculate EAt (the error term). 2. 3. An investor invests 30 percent of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of 0.04 and 70 percent in a risk-free asset with a return of 0.06. Calculate the portfolio's expected return. 4. Toyota stock has the following probability distribution of expected prices one year from now: State Probability Price 1 25% 40% £50 2 £60 3 35% £70 Currently, each share is priced at £55. Toyota will pay a dividend of £4 per share at the end of the year. What is your expected holding-period return on Toyota? 5. According to the Capital Asset…Security A has an expected return of 12.4% with a standard deviation of 15%, and a correlation with the market of 0.85. Security B has an expected return of -0.73% with a standard deviation of 20%, and a correlation with the market of -0.67. The standard deviation of rM is 12%. a. To someone who acts in accordance with the CAPM, which security is more risky, A or B? Why? (Hint: No calculations are necessary to answer this question; it is easy.) b. What are the beta coefficients of A and B? Calculations are necessary. c. If the risk-free rate is 6%, what is the value of rM?Security X has expected return of 14% and standard deviation of 22%. Security Y has expected return of 16% and standard deviation of 28%. If the two securities have a correlation coefficient of 0.8, what is their covariance? 0.049 0.038 0.018 0.013