Refer the table below on the average excess return of the U.S. equity market and thestandard deviation of that excess return. Suppose that the U.S. market is your riskyportfolio.Period1927-20211927-19501951-19741975-19981999-2021Average AnnualReturnsU.S.equity12.1710.2610.2117.9710.161-MonthT-Bills3.300.933.596.981.66U.S.Excessreturn8.879.336.6210.998.50Equity MarketStandardDeviation20.2526.5720.3214.4018.85SharpeRatio0.440.350.330.760.45Required:a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021period is representative of future expected performance, what fraction of yourportfolio should be allocated to T-bills and what fraction to equity? Assume your utilityfunction is u = E(r) 0.5 × Ao².b. What if you believe that the 1975-1998 period is representative?

Risk and return are essential financial principles. The term “risk” refers to the uncertainty and…

Required: a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function is u = E(r) - 0.5 × Aσ². b. What if you believe that the 1975-1998 period is representative?

Required: a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function is u = E(r) - 0.5 × Aσ². b. What if you believe that the 1975-1998 period is representative?

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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4. Explain what the Capital Asset Pricing Model (CAPM) is and calculate and explain the result of the CAPM based on the following data. a. Expected Return: 8% b. Risk-free rate: 4% c. Beta of the investment: 1.2 ER=Rf+B(ERm - Rf) where: ER = expected return of investment Rf risk-free rate B;= beta of the investment - (ERm - Rf) = market risk premium
a) First, ignore the fact that r,rf depends on whether you are long or short the risk-free asset. Suppose rrf = 2%. Solve for the tangency portfolio. b) asset. Suppose rrf = 9%. Solve for the tangency portfolio. Again, ignore the fact that rrf depends on whether you are long or short the risk-free Now, for parts c) to f) of the questions, let's take into account that rrf depends on whether c) you are long or short the risk-free asset. Draw out the shape of the efficient frontier. (Hint: think about what (E, o) pairs you can achieve via investing positive amounts in the risk-free asset, and investing negative amounts in the risk-free asset (borrowing). You will use your answers to parts A. and B.). The drawing does not need to be to scale, but needs to illustrate correctly the shape of the efficient frontier. d) deviation of 10%. Solve for the optimal portfolio for the client (that is, the weights wA, WB,Wrf which maximize the client's expected return, conditional on the standard…
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% WA = 0.75 COVA, B = -0.0009 Select one: A. 13.65% B. 20 U ODN 20.0% C. 18.64% D. 22.5% Asset (B) E(R₂) = 15% SDB = 11% WB = 0.25
Assume a utility function of ? = ?[?] − 1 ?? 2. Which statement(s) is/are correct about investors with this utility function? [I] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher risk premium [II] An investor with a higher degree of risk aversion chooses the optimal portfolio with lower risk [III] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher sharpe ratio [IV] The extent to which the investor dislikes risk is captured by ? 2 A. [II] only B. [I], [II] only C. [III] , [IV] only D. [II], [IV] only E. [I], [II], [III] only
6. Consider an optimal risky portfolio with expected return of 8% and standard deviation of 26% and a risk-free rate of 4%, what is the slope of the best feasible Capital Allocation Line (CAL)? a. 0.12 b. 0.15 c. 0.31 d. 0.46
Think about whether a risk-free asset should earn a risk-premium beyond the risk-free rate. Thinking about that should give you an idea of the beta for a risk-free asset. Or, look again at the CAPM equation: E(Ri)=Rf+βi[E(RM)−Rf] Given this equation, what beta sets the E(R) of the risk free asset equal to the risk-free rate? A) zero B) 0.5 C) 1.0 D) its random
Please advise
What is the GBM and how should this be understood
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
Draw the profit diagram of the portfolio just drawn (and clearly state any assumptions you make). The profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?
Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.
Bhagi

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