A security act as an insurance against market crashes. It pays $1 if the stock market drops 10% or more next year and $0 otherwise. Risk free rate is zero. Guess the sign of the expected return (according to CAPM) a) postive b) close to zero c) negative
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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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- Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). a) Draw the security market line (SML) b) Use the CAPM to calculate the required return, on asset A. c) Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. d) Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. e) From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?Suppose the CAPM holds. You know that the average investor has a degree risk aversion of 3.3. The current risk free rate is 0.012, the inflation is estimated 0.017, and the volatility of the market is 0.17. What is the market risk premium? [*.000]
- Assume investors are indifferent among security maturities. Today, the annualized 2-year interest rate is 2.20 percent, and the 1-year interest rate is 2 percent. What is the forward rate according to the pure expectations theory? Group of answer choices 2.25% 2.20% 2.00% 2.40%the risk free rate is 3% and the market premium rM rRF is 4%. stock A has a beta of 1.2, and stock B has a beta of 0.8. what is the required rate of return on each stock? assume that investors become less willing to take risk (i.e, they become more risk averse), so the market risk premium rises from 4% to 6%. Assume that the risk free rate remains constant. what effect will this have on the required rates of return on the two stocks?Suppose the CAPM holds. You know that the average investor has a degree of risk aversion of 4.4. The current risk-free rate is 2.2%, inflation is estimated at 1.6%, and the volatility of the market is 14%. What is the market risk premium?
- Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Col 1.39 0.153 What is the risk-free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places) Risk-free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. Repete Co.%Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Step 1 Security market line (SML) is a graphical representation of how the approach of the capital asset pricing model (CAPM) operates. SML represents the combination of risk-free return, market return, and beta to depict the expected return of the security. CAPM is a financial approach that helps to determine the expected return of security by creating a relationship between the systematic risk associated with the security and returns of assets. Expected return on a stock is the…Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?
- Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession Probability 0.3 0.4 0.3 Mean Standard deviation E (r) Σ=1p(s)r(s) Var (r) = o² = Σ³-1 P (s)[r (s) — E (r)]² - SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.) 14.00% 23.24% HPR X 2 decimal places required. 44% 14 -16Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10 a) Draw the security market line (SML) b) Use the CAPM to calculate the required return, on asset A. c) Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. d) Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. e) From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?…