a. What is the expected return on a portfolio that is equally invested in the two assets? b. If a portfolio of the two assets has a beta of 0.95, what are the portfolio weights c. If a portfolio of the two assets has an expected return of 8 percent, what is its beta?
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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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- 7. Portfolio Risk and Return. Suppose that the S&P 500, with a beta of 1.0, has an expected return of 10% and T-bills provide a risk-free return of 4%. (LO12-1) How would you construct a portfolio from these two assets with an expected return of 8%? Specifically, what will be the weights in the S&P 500 versus T-bills? How would you construct a portfolio from these two assets with a beta of .4? Find the risk premiums of the portfolios in parts (a) and (b), and show that they are proportional to their betas.CAPM: The Treasury bill rate is 5%, and the expected return on the market portfolio is 12%. On the basis of Capital Asset Pricing Model: What is the risk premium of the market? What is the risk premium of an investment with a beta of 1.5? What is the required return of an investment with a beta of 1.5? If an investment has a beta of .8 and offers an expected return of 11% (think of it as its IRR), does it have a positive NPV?A2) The risk-free rate of return is 2.8 percent, the inflation rate is 3.1 percent, and the market risk premium is 5.9 percent. What is the expected rate of return on a stock with a beta of 0.58?
- 2C) Assume that the CAPM holds in the economy. The following data is available about the market portfolio, the riskless rate, and two risky assets, W and X: The market portfolio has a standard deviation equals to 10%, stock W has an expected return equals to 16%, standard deviation equals to 12%, and beta equals to one, stock X has a standard deviation equals to 6% and beta equals to 0.7. The risk-free rate is 3%. What is the expected return and the beta of the market portfolio? What is the expected return on asset X? Does asset W lie on the Capital Market Line? Explain why or why not. Suppose you invested $100,000 in these two stocks. The beta of your portfolio is 1.25. How much did you invest in each stock? What is the expected return of this portfolio?34 If the firm’s beta is 1.75, the risk-free rate is 8%, and the average return on the market is 12%, what will be the firm’s cost of equity using the CAPM approach? Group of answer choices 15.00% 16.05% 14.27% 14.00%12.If the annual risk free rate is 2% and the expected annual return on the market portfolio is 7%, what would the expected annual return be on a share that has a beta of 2?
- Dhofar Energy Services has a Beta = 1.18 The risk-free rate on a treasury bill is currently 4.4% and the cost of equity has 20.70%. What is the market return? Select one: a. 0.2149 b. 0.1821 c. 0.2169 d. 1.1381 e. All the given choices are not correctKF2. --Suppose the return on the market is expected to be 13%, a stock has a beta of 1.3, and the T-bill rate is 4%. You believe your portfolio will achieve an 18% return. *Briefly describe the value of Alpha you generated insofar as it relates to performance measurement and the Security Market LineINV2 P1 2 You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. What is the portfolio P’s beta?
- [FIN220] Assuming that the CAPM approach is appropriate, compute the required rate of return for each of the following stocks, given a risk-free rate of 0.07 and an expected return for the market portfolio of 0.13: Stock A B C D E Stock Beta 1.4 1.2 1 0.6 0.91. What must be the beta of a portfolio with E(rP) = 13.5%, if rf = 3% and E(rM) = 9%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) 2. The market price of a security is $90. Its expected rate of return is 12%. The risk-free rate is 6% and the market risk premium is 9.6%. What will be the market price of the security if its correlation coefficient with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity. (Do not round intermediate calculations. Round your answer to 2 decimal places.)1. Suppose the risk-free is 5 %, the average investor has a risk aversion co-efficient of A = 2, and the standard deviation of the market portfolio is 20 %. What is the equilibrium value of the market risk premium? What is the expected return on the market? If the average degree of risk aversion were 3, what would be the market risk premium, and expected return? 2. Historical data for the S & P 500 Index show an average excess return over Treasury bills of about 8.5 % with standard deviation of about 20 %. To the extent that these averages approximate investor expectations for the sample period, what must have been the co-efficient of risk aversion of the average investor? If the co-efficient of risk aversion were 3.5, what risk premium would have been consistent with the market’s historical standard deviation? 3. If only some investors perform security analysis while all others hold the market portfolio (M), would the CML still be the efficient CAL for investors who do not engage…