Question 2 You invest $1,000,000 in a complete portfolio. The complete portfolio is composed of a risky portfolio with an expected rate of return of 16% and a standard deviation of 20%, and a T-bill with an expected rate of return of 7%. Required: You choose to invest $700,000 of your investment budget in the risky portfolio and the remaining in the T-bill. a) What are the expected return and standard deviation of your complete portfolio? b) Suppose your risky portfolio includes the following investments in the given proportions: Stock A: 40% Stock B: 60% What are the dollar values of your investment in each stock in the risky portfolio? c) What is the Sharpe ratio (S) of your complete portfolio? d) Draw the capital allocation line (CAL) of your complete portfolio on an expected return/standard deviation diagram.

Question 2 You invest $1,000,000 in a complete portfolio. The complete portfolio is composed of a risky portfolio with an expected rate of return of 16% and a standard deviation of 20%, and a T-bill with an expected rate of return of 7%. Required: You choose to invest $700,000 of your investment budget in the risky portfolio and the remaining in the T-bill. a) What are the expected return and standard deviation of your complete portfolio? b) Suppose your risky portfolio includes the following investments in the given proportions: Stock A: 40% Stock B: 60% What are the dollar values of your investment in each stock in the risky portfolio? c) What is the Sharpe ratio (S) of your complete portfolio? d) Draw the capital allocation line (CAL) of your complete portfolio on an expected return/standard deviation diagram.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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2. An investor is evaluating a two-asset portfolio of the following two securities. Portfolio A: 75% Ooredoo and 25% Woqod Portfolio B: Investor has QAR 100,000 and will invest QAR 50,000 in Woqod Expected returns and risks: ● ● ● ● Expected Return 12.50% Woqod 10.80% The correlation between Ooredoo and Woqod is 0.72. Calculate: a. Expected return of both the portfolios Security Ooredoo Expected Risk (0) 26.40% 22.50%
The expected return for asset A is 4.00% with a standard deviation of 9.00%, and the expected return for asset B is 6.75% with a standard deviation of 3.00%. Based on your knowledge of efficient portfolios, fill in the blanks in the following table with the appropriate answers. Proportion of Portfolio in Security A WA 1.00 0.75 0.50 0.25 0.00 Proportion of Portfolio in Security B WB 0.00 0.25 0.50 0.75 1.00 Expected Portfolio Return FP 4.00% 4.69% 6.06% 6.75% Standard Deviation Op Case I (PAB= -0.4) 6.5 4.1 2.5 3.0 Standard Deviation op Case II (PAB= 0.3) 9.0 5.2 3.6 3.0 The minimum risk portfolio allocation to asset A within the portfolio for case III is. Therefore, you are better off Standard Deviation op Case III (PAB=0.8) 9.0 7.4 5.8 ▼ 3.0
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %
Current Attempt in Progress You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $190,000 285,000 475,000 Beta of the portfolio Beta Expected rate of return 1.45 0.60 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 17 percent and that the risk-free rate is 6 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) 1.30 %
Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below. A B C Probabilities return 0.05 0.50% -3.60% 3.60% 0.35 0.60% 2.75% 0.15% 0.45 3.66% 1.45% 0.45% 0.15 -4.80% -0.60% 6.30% Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
Question 4?
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ou invest $3,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 20% and a Treasury bill with a rate of return of 10%. __________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 8%.
Suppose that you have found the optimal risky combination using all risky assets available in the economy, and that this optimal risky portfolio has an expected return of 0.19 and standard deviation of 0.24. The T-bill rate is 0.05. What fraction of your money must be invested in the optimal risky portfolio in order to form a complete portfolio with an expected return of 0.09? Round your answer to 4 decimal places. For example, if your answer is 3.205 %, then please write down 0.0321..
4
You manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 34%. The T-bill rate is 2%. Stock A Stock B Stock C 45% 32% 23% Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 11%. Required: a. What is the proportion y? b. What are your client's investment proportions in your three stocks and the T-bill fund? c. What is the standard deviation of the rate of return on your client's portfolio? Complete this question by entering your answers in the tabs below. Required A Required B Required C What is the proportion y? Note: Round your answer to the nearest whole number. Proportion y %

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