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 intermediatecalculations. Round your answer to 1 decimal place.)Expected return on portfolio%

The Expected rate of return of the portfolio or overall return of the portfolio refers to the total…

Answered: Suppose that you have $1 million and…

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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Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 41%. The T-bill rate is 4% A client prefers to invest in your portfolio a proportion (y) that maximizes the expected return on the overall portfolio subject to the constraint that the overall portfolio's standard deviation will not exceed 30%. Required: a. What is the investment proportion, y? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y % b. What is the expected rate of return on the overall portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return %
I. Consider the following information about K oll and Nell for one-time period: Suppose that the correlation coefficient between the returns for Koll and Nell is -0.40'. If you invest 30% in Koll and 70% in Nell, what are the expected return and standard deviation of the portfolio? Interpret your results. II. The investor achieved the following annual rate of returns over the last four-year period: 25% in Y1, 15% in Y2, 20% in Y3, 10% in Y4. (a) Calculate the geometric average rate of return for the whole 4 year period. (b) Calculate the logarithmic average rate of return for the whole 4 year period. III. Suppose you have a portfolio of IBM and Dell with a beta of 0.4 and 1.1, respectively. If you put 40% of your money in IBM, 55% in Dell and 5% in the risk-free asset, calculate and interpret the beta of your portfolio. IV. Suppose that the beta value for Kei is 1.5, and the risk-free rate of interest is 4%. The investor wishes to (i) have a shareholding in only one company, Kei, and…
Given a real rate of interest of 3.4%, an expected inflation premium of 3.6%, and risk premiums for investments A and B of 4.7% and 6.8% respectively, find the following: a. The risk-free rate of return, rf b. The required returns for investments A and B a. The risk-free rate of return is %. (Round to one decimal place.)
The following information is provided: The risk-free rate is 2% The expected market returns are 11% If the beta of an asset changes from 0.8 to 1.5, what is the additional return that you require on this asset (in %, please round on 2 decimals)?
Suppose you invest equal amounts in a portfolio with an expected return of 16% and a standard deviation of returns of 20% and a risk-free asset with an interest rate of 4%; calculate the standard deviation of the returns on the resulting portfolio: none of the above 10% 20% 8%
The investor has R60,000 to invest. R15,000 will be invested into the market portfolio, R10,000 into asset A and R25,000 into asset B. The balance will be invested into the risk-free asset. The beta for asset A and asset B is 0.90 and 1.2 respectively. What is the portfolio beta? What is the correct answer? A. 0.09 B. 0.90 C. 0.91 D. 0.92
What is the expected return of a portfolio that has $8,000 invested in S and $2,000 invested in T? The risk-free rate is 6% and the market portfolio's return is 14%. What is the required return of the portfolio if betas for the two portfolio components are 0.6 and 1.3, respectively? Do you expect the investment to be a good one for the coming year? Why or why not? Probability of State of Economy 25% Return if State Occurs State of Economy Stock S Stock T 30% 15% 10% Вoom Normal 50% 15% Recession 25% -10% 13%
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $75,000with a probability of 25%, $125,000 with a probability of 50%, or $140,000 with a probability of 25%.The alternative risk-free investment in T-bills pays 4% per year. a) If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?b) What is the Sharpe ratio of the portfolio if you can purchase it at the price calculated above?
Suppose that you currently have $100,000 invested in a portfolio with an expected return of 13% and a volatility of 8%. The efficient (tangent) portfolio has an expected return of 17% and a volatility of 10%. The risk-free rate of interest is 1%. Suppose that you want to keep the expected return equal to the current rate of 13%. Accordingly, the level of risk you can expect is: 1.00% 3.75% 4.75% 5.15% None of the above
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You build a portfolio containing stocks ?A and ?B only and you have shorted ?B such that its portfolio weight is −0.25−0.25. If the expected return on ?A is 15% and on ?B is 13%, what is the expected return (in %) on the portfolio?
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).

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