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SECTION IT these questions are worth double in weight -41. (Double weight question) Suppose in security....
(a) Suppose that there are many stocks in the security market and that the characteristics of...
(a) Suppose that there are many stocks in the security market and that the characteristics of Stocks A and B are given as follows Stock A B Expected Return Standard Deviation 10% 5% 15% 10% Correlation =-1 Suppose that it is possible to borrow at the risk-free rate, If. What must be the value of the risk-free rate? Explain. HINT!!! The stocks are perfectly negatively correlated. (b) Calculate the expected return and standard deviation of an equally weighted portfolio of...
You manage a risky portfolio with an expected return of 12% and a standard deviation of 24%. Assume that you can invest...
You manage a risky portfolio with an expected return of 12% and a standard deviation of 24%. Assume that you can invest and borrow at a risk-free rate of 3%, using T-bills. a. Draw the Capital Allocation Line (CAL) for this combination of risky portfolio and risk-free asset. What is the Sharpe ratio of the risky portfolio? b. Your client chooses to invest 50% of their funds into your risky portfolio and 50% risk-free. What is the expected return and...
Suppose that you have a risky asset that provides you with an expected return of 12%...
Suppose that you have a risky asset that provides you with an expected return of 12% per year with 20% volatility (standard deviation). Consider a risk-free asset that provides you with a 3% risk-free return. a. If you have $100,000 and invest 80% into the risky asset and 20% into the 6. b. How much will your portfolio be worth if the realized return on the risky c. If you cannot borrow money, what is the maximum possible expected return...
Suppose that you have $1 million and the following two opportunities from which to construct a...
Suppose that you have $1 million and the following two opportunities from which to construct a portfolio: a. Risk-free asset earning 11% per year b. Risky asset with expected return of 35% per year and standard deviation of 42% If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.) Expected return on portfolio
please help and show your work! Consider a market model with three assets: two risky assets...
please help and show your work!
Consider a market model with three assets: two risky assets (#1 and #2) and one risk-free asset (#3). The risk-free rate of interest is r = 3%. The parameters of the risky returns are as follows: 02 = 15%, Mi = 6%, H2 = 9%, 01 = 10%, P12 = -10%. 1. Let u(x) and g(x) with xe (-0,00) denote, respectively, the expected return and volatility of my portfolio if I allocate 100x% of...
Er (%) 0.2 Consider the CAPM framework. Suppose that you currently have 40% of your wealth...
Er (%) 0.2 Consider the CAPM framework. Suppose that you currently have 40% of your wealth in Treasury Bills, risk-free, and 60% in the four assets below Asset i Bi Wi i = 1 8.5 0.2 0.1 i = 2 13.1 0.8 0.1 i = 3 16.6 1.2 0.2 i = 4 18.7 1.4 Let the four assets be traded in a market M with Erm = 15% and let the risk-free rate be rf = 4%, answer the following...
Suppose that you have $1 million and the following two opportunities from which to construct a...
Suppose that you have $1 million and the following two opportunities from which to construct a portfolio: a. Risk-free asset earning 11% per year. b. Risky asset with expected return of 26% per year and standard deviation of 34%. If you construct a portfolio with a standard deviation of 24%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.) Expected return on portfolio I
Exercise 2. Suppose that there is one risk free asset with return rf and one risky...
Exercise 2. Suppose that there is one risk free asset with return rf and one risky asset with normally distributed returns, r ~ N(u,02). Show that the CARA utility u(r) = -e-Ar gives the same optimal allocation of wealth to the risky asset as the mean-variance utility function we used in class. That is, show that E[r] – rf OCARA = AO2 Hint: Use the fact that if a random variable x is distributed normally with mean Mx and variance...
Question 1 Consider two risky assets A and B with E(rA)= 15%, Sigma_A= 32%, E(rB)= 0.09,...
Question 1 Consider two risky assets A and B with E(rA)= 15%, Sigma_A= 32%, E(rB)= 0.09, Sigma_B= 23%, corrA,B= 0.2. The risk free rate is 5%. The optimal risky portfolio of comprised of the two risky assets is to allocate 64% to A and the rest to B. What is the standard deviation of the optimal risky portfolio ? Select one: a. 20.75% b. 23.61% c. 22.86% d. 23.00% Question 2 Continued with previous question. What is the Sharpe ratio...
Answer all questions and show work using hand formulas only. Do NOT answer the question if...
Answer all questions and show work using hand formulas only. Do
NOT answer the question if you cannot answer everything.
1.
2.
3.
TABLE 5.3 Risk and return of investments in major asset classes, 1927-2016 T-bills T-bonds Stocks Arithmetic average Risk premium Standard deviation max min 3.42 N/A 3.14 14.71 -0.02 5.51 2.08 8.14 38.07 -8.47 11.91 8.48 19.99 56.38 -43.73 Using Table 5.3 as your guide, what is your estimate of the expected annual HPR on the market index...
(a) Suppose that there are many stocks in the security market and that the characteristics of Stocks A and B are given as follows Stock A B Expected Return Standard Deviation 10% 5% 15% 10% Correlation =-1 Suppose that it is possible to borrow at the risk-free rate, If. What must be the value of the risk-free rate? Explain. HINT!!! The stocks are perfectly negatively correlated. (b) Calculate the expected return and standard deviation of an equally weighted portfolio of...
Suppose that you have a risky asset that provides you with an expected return of 12% per year with 20% volatility (standard deviation). Consider a risk-free asset that provides you with a 3% risk-free return. a. If you have $100,000 and invest 80% into the risky asset and 20% into the 6. b. How much will your portfolio be worth if the realized return on the risky c. If you cannot borrow money, what is the maximum possible expected return...
Suppose that you have $1 million and the following two opportunities from which to construct a portfolio: a. Risk-free asset earning 11% per year b. Risky asset with expected return of 35% per year and standard deviation of 42% If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.) Expected return on portfolio
please help and show your work!
Consider a market model with three assets: two risky assets (#1 and #2) and one risk-free asset (#3). The risk-free rate of interest is r = 3%. The parameters of the risky returns are as follows: 02 = 15%, Mi = 6%, H2 = 9%, 01 = 10%, P12 = -10%. 1. Let u(x) and g(x) with xe (-0,00) denote, respectively, the expected return and volatility of my portfolio if I allocate 100x% of...
Er (%) 0.2 Consider the CAPM framework. Suppose that you currently have 40% of your wealth in Treasury Bills, risk-free, and 60% in the four assets below Asset i Bi Wi i = 1 8.5 0.2 0.1 i = 2 13.1 0.8 0.1 i = 3 16.6 1.2 0.2 i = 4 18.7 1.4 Let the four assets be traded in a market M with Erm = 15% and let the risk-free rate be rf = 4%, answer the following...
Suppose that you have $1 million and the following two opportunities from which to construct a portfolio: a. Risk-free asset earning 11% per year. b. Risky asset with expected return of 26% per year and standard deviation of 34%. If you construct a portfolio with a standard deviation of 24%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.) Expected return on portfolio I
Exercise 2. Suppose that there is one risk free asset with return rf and one risky asset with normally distributed returns, r ~ N(u,02). Show that the CARA utility u(r) = -e-Ar gives the same optimal allocation of wealth to the risky asset as the mean-variance utility function we used in class. That is, show that E[r] – rf OCARA = AO2 Hint: Use the fact that if a random variable x is distributed normally with mean Mx and variance...
Answer all questions and show work using hand formulas only. Do
NOT answer the question if you cannot answer everything.
1.
2.
3.
TABLE 5.3 Risk and return of investments in major asset classes, 1927-2016 T-bills T-bonds Stocks Arithmetic average Risk premium Standard deviation max min 3.42 N/A 3.14 14.71 -0.02 5.51 2.08 8.14 38.07 -8.47 11.91 8.48 19.99 56.38 -43.73 Using Table 5.3 as your guide, what is your estimate of the expected annual HPR on the market index...
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