Week 11-1 Nov 14 sample answers C3

You are going to invest $20,000 in a portfolio consisting of assets X, Y, and Z, as follows: Asset Annual Return Probability Beta Proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z 16% 0.25 2.0 0.333 Given the information in Table 5.2, The beta of the portfolio in Table 8.2, containing assets X, Y, and Z is ________.   Select one: a. 1.6 b. 2.0 c. 1.5 d. 2.4

You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its net are summarized below. 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 18% and that the risk-free rate is 6%. Stock A, Investment = $188,000, Beta=1.50, Stock B, Investment = $282,000, Beta =0.50, Stock C, Investment = $470,000, Beta = 1.30 Beta of the portfolio ? Expected rat of return ?     %

Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?

Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1.   Draw the capital market line and show the position of stock A.

a. Using the data provided in problem 3, determine the return and risk for a portfolio made up of the following three stocks if you want to distribute your investment as follows: 20% in ADRE; 65% in MSFT and 15% in GOOG.b. How would the portfolio be affected if you distributed your investment in the following way: 30% in ADRE; 25% on MSFT and 45% on GOOG?c. Which of the two portfolios would a risk seeking investor prefer and why?

The beta on risky asset A is 1.8 and the beta on risky asset Bis 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and fi) the expected return of the portfolio? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a None of the above b. (i) 0.97 and (ii) 9.829% (1) 1.23 and (ii) 9.8296 (1) 1.23 and (ii) 11.38% ) 0.97 and (ii) 11.38% e

Two investments, X and Y, have the characteristics shown below. E(X) = $70, E(Y)3D$120, o =7,000, a = 14,000, and ory =7,500 If the weight of portfolio assets assigned to investment X is 0.3, compute the a. portfolio expected return and b. portfolio risk. a. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio expected retum is $ (Type an integer or a decimal.) b. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio risk is approximately $. (Round to two decimal places as needed.)

Suppose you are given the following inputs for the Fama-Frech-3-Factor model. Required Return for Stock i: bi=0.8, kRF=8%, the market risk premium is 6%, ci=-0.6, the expected value for the size factor is 5%, di=-0.4, and the expected value for the book-to-market factor is 4%. Task:  Estimate the required rate of return of this asset using the Capital asset pricing model and compare it with the Fama-French-3-factor model.

You are attempting to evaluate two possible portfolios, which consist of the same five assets held in different proportions. You are particularly interested in using beta to compare the risks of the portfolios, so he has gathered the data shown in the following table. Calculate the betas for portfolios X and Y. Compare the risks of these portfolios to the market as well as to each other. Which portfolio is more risky?

You will have a portfolio that is only comprised of two assets. You plan to allocate 47.1% into asset A, which has an expected return of 12.1%. The remainder of your portfolio will be allocated to asset B, which has an expected return of 5.9%. What is your expected return on this two-asset portfolio? State your answer as a percentage with two decimal places (i.e., 13.21, not 0.1321).

An investment banker has recommended a $100,000 portfolio containing assets B, D, and F. $30,000 will be invested in asset B, with a beta of 1.5; $50,000 will be invested in asset D, with a beta of 2.0; and $20,000 will be invested in asset F, with a beta of 0.5. The beta of the portfolio is 1.37 1.61 1,55 1.43

Assume you have two assets A and B. You know the expected return and standard deviation of returns for each asset. This information is shown in the table below. You plan to put 50% of your wealth into each assets. What would the expected return be for the portfolio? Asset A B 0.03 0.27 0.135 0.15 returns 12% 15% standard deviations 20% 40%

You can invest in a portfolio of two assets: the riskfree asset with rate of return 6%, and a risky portfolio with expcected return 16% and stdev 30%. You optimally choose to invest equal amount in both assets. What is your risk aversion (keep 2 decimal places)? A=

The​ risk-free rate is currently 3.3​%, and the market return is 14.8​%. Assume you are considering the following​ investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most​ risky? Least​ risky? b. Use the capital asset pricing model​ (CAPM) to find the required return on each of the investments. c. Find the security market line​ (SML), using your findings in part b. d. On the basis of your findings in part c​, what relationship exists between risk and​ return? Explain.

What is the beta of a portfolio made up of two risky assets and a risk-free asset? You invest 35% in asset A with a beta of 1.2 and 35% in asset B with a beta of 1.1. Select one: O a. 0.66 O b.1.29 O C. 0.81 O d.1.14 O e. 1.03

Please help me answer this question in Excel Form 2. The risk-free rate is 4%, and the required return on the market is 12%. b. A portfolio invests 40% in the asset in (a) and the rest in a market portfolio. What is the required return on this portfolio? Thanks :)

You invest $96 in a risky asset and the T-bill. The risky asset has an expected rate of return of 19% and a standard deviation of 0.22, and a T-bill with a rate of return of 4%. A portfolio that has an expected outcome of $110 is formed by investing what dollar amount in the risky asset? Round your answer to the nearest cent (2 decimal places).

You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 36%. The T-bill rate is 6%. Your client's degree of risk aversion is A = 3.1, assuming a utility function u = E(r) A02. a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return % Standard deviation %

The beta of the portfolio containing assets X, Y, and Z, is

You want your portfolio beta to be 1.30. Currently, your portfolio consists of $100 invested in stock A with a beta of 1.4 and $300 in stock B with a beta of .6. You have another $400 to invest and want to divide it between an asset with a beta of 1.8 and a risk-free asset. How much should you invest in the risk-free asset?