You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65% respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 10%. To form a complete portfolio with an expected rate of return of 14%, you should invest approximately in the risky portfolio. This will mean you will of your complete 6 also invest approximately and portfolio in security X and Y, respectively.
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- Suppose you have the following investments: Security Amount Invested Expected Return Beta A $2,000 5% .80 B $4,000 10% .95 C $6,000 15% 1.10 D $8,000 18% 1.40 What is the expected return on this portfolio? Select one:Suppose you have the following investments: Security Amount Invested Expected Return Beta A $2,000 5% .80 B $4,000 10% .95 C $6,000 15% 1.10 D $8,000 18% 1.40 What is the expected return on this portfolio?3.1 Problem 3: You have access to two investment opportunities. Mutual Fund A, which promises 20% expected return with a variance of 0.36, and Mutual Fund B, which promises 15% expected return with a variance 0f 0.12. The covariance between the two is 0.084. Suppose that you seek to construct a portfolio with an expected return equal to 18%. What proportions of your wealth should you invest in A and B? What is the standard deviation of such portfolio?
- 1. You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 15% and 85%, respectively. X has an expected rate of return of 15%, and Y has an expected rate of return of 30%. The dollar values of your position in X would be _________, if you decide to hold a complete portfolio that has an expected return of 24%. 2. You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 15% and 85%, respectively. X has an expected rate of return of 15%, and Y has an expected rate of return of 30%. The dollar values of your position in Y would be _________, if you decide to hold a complete portfolio that has an expected return of 24%. 3. You are…Question 6 Suppose that an investor has £1,000,000 to invest in a portfolio containing stocks A, B and a risk-free asset. The investor must invest all her money, and she is using the Capital Asset Pricing Model (CAPM) to make predictions of the expected return-beta relationship. Her objective is to create a portfolio that has an expected return of 14% and which has a beta of 0.75. If stock A has an expected return of 30% and a beta of 1.9, stock B has an expected return of 20% and a beta of 1.4, and the risk-free rate is 8%, how much money will she invest in stock A? Explain your answer and show your calculations.Suppose you have the following investments: Security Amount Invested Expected Return Beta A $2,000 5% .80 B $4,000 10% .95 C $6,000 15% 1.10 D $8,000 18% 1.40 What is the beta of the portfolio? Select one: a. 1.16 b. 0.59 c. 1.34 d. 1.20
- You want to create a portfolio equally as risky as the market, and you have $5M to invest. Given the information below, what is your investment in the risk-free asset? Asset Stock A Stock B Stock C Risk-free Asset $0.8M $0.7M $0.9M $1.1M Investment $1M $2M Beta 0.7 1.25 1.5Given the current risk-free rate is 9% and the market return is 12%. TI Investment Beta A 0.65 1.12 C 0.87 1.19 E 0.56 Calculate the required rate of return for each of the investments by using the Capital Asset Pricing Model (CAPM). ii. i. If you invest an equal amount in each investment, what is the portfolio beta?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. Suppose you decide to invest in the risky portfolio a proportion (y) of your total investment budget so that your complete portfolio will have an expected rate of return of…
- Risk and Rates of Return; Risk in Portfolio Context You are holding a investments and the portfilio with the following Stock A B C D Total Investament Dollar Investment $250,000 150,000 400,000 200,000 $1,000,000 Beta 1.20 1.60 0.85 -0.15 The market's required return is 11% and the risk-free rate is 4%. What is the portfolio's required return? Round your answer to three places. decimal4. Problem 8.07 (Portfolio Required Return) еВook Problem Walk-Through Suppose you are the money manager of a $4.04 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 220,000 1.50 B 800,000 (0.50) 1,020,000 1.25 D 2,000,000 0.75 If the market's required rate of return is 8% and the risk-free rate is 5%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. %Q1 Consider two perfectly negatively correlated risky securities, A and B. A has an expected rate of return of 13% and a standard deviation of 21%. B has an expected rate of return of 10% and a standard deviation of 15%. What are the weights of A and B in the minimum variance portfolio? Q2 You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.2 and a T-bill with a rate of return of 0.05. Calculate the slope of the capital allocation line formed with the risky asset and the risk-free asset.