Refer the table below on the average excess return of the U.S. equity market and the standard deviation of that excess return.Suppose that the U.S. market is your risky portfolio.Period1927-20211927-19501951-19741975-19981999-2021Average AnnualReturnsU.S.equity12.1710.2610.2117.9710.16U.S. Equity MarketStandardDeviation20.2526.5720.3214.4018.851-Month T- Excessreturn8.879.336.6210.998.50Bills3.300.933.596.981.66SharpeRatio0.440.350.330.760.45Required:a. If your risk-aversion coefficient is A = 3.5 and you believe that the entire 1927-2021 period is representative of future expectedperformance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function isU = E(r) - 0.5 × Ag².b. What if you believe that the 1975-1998 period is representative?

Answered: Refer the table below on the average…

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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You are given the following partial covariance and correlation tables from historical data: Securities J K Market Securities J K Market 1.24 1.11 1.17 1.03 Covariance Matrix K 0.90 J 0.0020480 0.0021600 Also, you have estimated that the market's standard deviation is 4.3 percent. For the coming year, the expected return on the market is 14.0 percent and the risk-free rate is expected to be 4.0 percent. Given this information, determine the beta for Security K for the coming year, assuming CAPM is the correct model for required returns. Correlation Matrix K 0.60 1.00 0.90 1.00 0.60 0.80 Market 0.0020480 0.0021600 Market 0.80 0.90 1.00 Ston sharing Hidel lines We
We know the following expected returns for stocks A and B, given the different states of the economy: State(s) Probability E(rA,s) E(rB,s) Recession 0.1-0.06 0.04 Normal 0.5 0.09 0.07 Expansion 0.4 0.17 0.11 What is the standard deviation of returns for stock B?
Consider the following information about Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .20 .60 .20 Rate of Return if State Occurs Stock I .04 .26 .10 Stock II -.35 15 .55 The market risk premium is 5 percent, and the risk-free rate is 4 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.)
Suppose that you know that the following well-diversified portfolios are fairly priced in a two-factor economy where the risk-free rate is 5%. Determine the risk premiums associated with each factor and compute the expected market risk premium for the next period based on these figures.: betal beta 2 E(r) p1 1.00 -.5 10% p2 -.5 1.50 10%
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.30 -7% 18% Normal economy Boom 0.60 20% 0.10 26% 10% 3% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. c. Which investment would you prefer? Complete this question by entering your answers in the tabs below. Required A Required B Required C Calculate the expected rate of return and standard deviation for each investment. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place. Expected Rate of Return Stocks 12.5% Bonds 11.7 % Standard Deviation % %
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.21 $ 140 0.30 110 0.49 80 Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) - E(r)]² to compute the mean and standard deviation of the HPR on S S HPR (including dividends) 50.5% 18.0 -12.5 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation Answer is complete but not entirely correct. 13.65 % 20.48 %
The payoff table below indicates the returns (in RM thousands) of investments in stock, bond and fixed deposit under different economic situations. Type of Investment Stock Bond Fixed Deposit Table 1 Economic Situation Good 150 50 45 Stable 60 40 45 Poor -30 36 45 The probabilities of good, stable and poor economy are 0.3, 0.5 and 0.2, respectively. What is the best investment based on the expected monetary value criterion? Draw a decision tree.
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskler"? -.21 .10 39 % %
Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill presented below. What is the Fama diversification measure for the Globex Fund? Assume the T-bill rate as the risk- free rate and the S&P return as the market average return. Use at least four decimal places in your calculations, but report your answer in percentage terms rounded to two decimal places. (Ex..12345 should be entered as "12.35") Investment Vehicle Globex Fund World Fund S&P500 90-day T-bill Answer: Average Rate of Return% 25.2 13.92 15.52 7.10 Standard Deviation 21.33 14 12.8 0.3 Beta 1.05 0.95 R² 0.756 0.741
Mansukh
For the cost of equity (stock) is it better to use the current US Treasury bill rate or a longer-termgovernment bond rate as the risk-free rate of return?Does the rate you use as the risk-free rate have an impact on what market premium might beappropriate? Historically, large-company stocks have earned an average return of 12.1% per annum, while US Treasury bills and long-term government bonds have earned average returns of 3.5% and5.9% respectively.
Listed below is the return probability distribution associated with the stocks of XYZ Company and the market portfolio under different states of the economy: State Recession Normal Boom 0.00452 O 0.00552 0.00652 Probability O 0.00752 0.4 0.3 0.3 XYZ Return What is the covariance between XYZ return and Market return? -3% 14% 20% Market Return 2% 8% 16%

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