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Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Question
Chapter 8, Problem 20PS
Summary Introduction
To compute: The factor risk exposure for the portfolio and the portfolio’s expected return.
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Consider the following information: The possible rate of return for a portfolio for an investment is shown below.Probability Possible rate of return 0.25 0.09 0.25 0.11 0.25 0.13 0.25 0.16What is the expected rate of return for the investment?
Show detailed steps to solve the following question.
Consider a portfolio comprised of three securities in the following proportions and with the indicated security beta.
a.) What is the portfolios beta?
b.) Wht is the portfolios expected return?
Required:
a) Calculate the expected return on this portfolio.
b) What is the Beta of this portfolio?
c) Does this portfolio have more or less systematic risk than an average asset?
Chapter 8 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 8 - Portfolio risk and return Here are returns and...Ch. 8 - Efficient portfolios For each of the following...Ch. 8 - Sharpe ratio Use the long-term data on security...Ch. 8 - Efficient portfolios Figure 8.11 purports to show...Ch. 8 - CAPM Suppose that the Treasury bill rate is 6%...Ch. 8 - CAPM True or false? a. The CAPM implies that if...Ch. 8 - APT Consider a three-factor APT model. The factors...Ch. 8 - CAPM True or false? Explain or qualify as...Ch. 8 - Portfolio risk and return Look back at the...Ch. 8 - Portfolio risk and return Mark Harrywitz proposes...
Ch. 8 - Portfolio risk and return Ebenezer Scrooge has...Ch. 8 - Portfolio beta Refer to Table 7.5. a. What is the...Ch. 8 - CAPM The Treasury bill rate is 4%, and the...Ch. 8 - Portfolio risk and return Percival Hygiene has IO...Ch. 8 - Cost of capital Epsilon Corp. is evaluating an...Ch. 8 - Prob. 18PSCh. 8 - APT Consider the following simplified APT model:...Ch. 8 - Prob. 20PSCh. 8 - Prob. 21PSCh. 8 - Prob. 22PSCh. 8 - Prob. 23PSCh. 8 - Efficient portfolios Look again at the set of the...
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- The optimal proportion of the risky asset in the complete portfolio is given by the equation below y*= E(Rp− Rf) A0² For each of the variables on the right side of the equation, discuss the impact of the variable's effect on y* and why the nature of the relationship makes sense intuitively. Assume the investor is risk aversearrow_forwardDraw the profit diagram of the portfolio above (and clearly state any assumptions you make).Recall that the profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?arrow_forwardFor a market timer, the ________ will be higher when the market risk premium is higher Select one: a. portfolio’s idiosyncratic risk b. portfolio’s standard deviation c. portfolio’s beta d. security selection component of the portfolio e. portfolio’s alphaarrow_forward
- Draw the profit diagram of the portfolio just drawn (and clearly state any assumptions you make). The profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?arrow_forwardConsider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.arrow_forwardAn investor wants to determine the safest way to structure a portfolio from several investments, whose annual returns under different scenarios are as follows: Returns Scenario A B. D Probability 1. 0.11 -0.09 0.10 0.07 0.10 -0.11 0.12 0.14 0.06 0.10 3 0.09 0.15 0.11 0.08 0.10 4 0.25 0.18 0.33 0.07 0.30 0.18 0.16 0.1 0.06 0.40 9. Suppose the investor ignores the scenarios have different probabilities. If he has determined his risk aversion value is 0.75, what percentage of his portfolio should be invested in A? percent 2.arrow_forward
- Consider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14arrow_forwardSupposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?arrow_forwardWrite the formula for the portfolio return and risk Write the formula for expected returns and risk.arrow_forward
- Use the following table to answer the questions a-c below. Standard deviation of risky | return Risky Expected return on risky portfolio Risk-free Sharpe-ratio Portfolio portfolio 1 12 3.5 4.5 2 13 3.75 4.5 3 14 4 4.5 4 15 4.25 4.5 a. Calculate the Sharpe ratio for each portfolio b. Identify the optimal portfolio from the above 4arrow_forwardYou are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squaredarrow_forwardUse the following table to answer the questions a-c below. Risky Portfolio Expected return on risky portfolio Standard Risk-free Sharpe-ratio deviation of risky | return portfolio 3 1 8 3 2 10 4 3 3 12 4.9 3 4 14 6 3 a. Calculate the Sharpe ratio for each portfolio b. Identify the optimal portfolio from the above 4arrow_forward
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