You want to create a portfolio equally as risky as the market, and you have $500,000 to invest. Information about the possible investments is as follows: stock A ($144,000 worth of stock A and beta of 0.89), stock B ($136.000 worth of stock B and beta of 1.34), stock C ($X worth of stock C and beta of 1.49), and risk-free asset ($Y worth of risk-free asset). How much will you invest in risk-free asset?

You want to create a portfolio equally as risky as the market, and you have $500,000 to invest. Information about the possible investments is as follows: stock A ($144,000 worth of stock A and beta of 0.89), stock B ($136.000 worth of stock B and beta of 1.34), stock C ($X worth of stock C and beta of 1.49), and risk-free asset ($Y worth of risk-free asset). How much will you invest in risk-free asset?

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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(Security market line) You are considering the construction of a portfolio comprised of equal investments in each of four different stocks. The betas for each stock are found below Asset A Beta 2.30 B C D 0.80 0.60 -1.60 (Click on the icon in order to copy its contents into a spreadsheet.) a. What is the portfolio beta for your proposed investment portfolio? b. How would a 25 percent increase in the expected return on the market impact the expected return of your portfolio? c. How would a 25 percent decrease in the expected return on the market impact the expected return on each asset? d. If you are interested in decreasing the beta of your portfolio by changing your portfolio allocation in two stocks, which stock would you decrease and which would you increase? Why? a. The portfolio beta for your proposed investment portfolio is (Round to three decimal places)
A portrollo consists of assets with the following expected returns: Technology stocks Pharmaceutical stocks Utility stocks Savings account a. What is the expected return on the portfolio if the investor spends an equal amount on each asset? Round your answer to two decimal places. % 26% 16 9 4 b. What is the expected return on the portfolio if the investor puts 53 percent of available funds in technology stocks, 15 percent in pharmaceutical stocks, 14 percent in utility stocks, and 18 percent in the savings account? Round your answer to two decimal places. %
Assume that you have just received information from your investment advisor that your portfolio has reached a value of $1,250,000. Your portfolio consists of three stocks, as follows: Stock Amount Invested % of Total Beta A $250,000 20% 1.12 B $400,000 32% .85 C $600,000 48% .55 Total: $1,250,000 100% Calculate the beta of this investment portfolio. Assume that the expected market return ( r m ) is 9 percent and the expected risk- free rate ( RF ) is 2 percent. What is the expected return ( r j ) for this investment portfolio?
Assume that you manage a $10.00 million mutual fund that has a beta of 1.05 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $11.50 million, which you invest in stocks with an average beta of 0.82. What is the required rate of return on the new portfolio? (Hint: You must first find the market risk premium, then find the new portfolio beta.)
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You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $196,000 294,000 490,000 Beta Expected rate of return 1.50 0.55 1.35 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 percent and that the risk-free rate is 9 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%) Beta of the portfolio %
You are working on creating a portfolio that mimics a fully diversified market index. Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000 of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add an additional risky stock C and a risk-free bond to your portfolio. Assume that betas for stock A, B, and C are 0.80, 1.09, and 1.23, respectively. How much would you invest in stock C and risk-free bond?
Anna holds a portfolio comprising the following 3 stocks: X, Y and Z. Investment Amount Beta. Expected return Security X $2000. 1.3. Security Y $1000. 1. 10% Security Z. $500. 0. 2% a. Determine the expected return of security X. b. Calculate the return of Anna’s portfolio. c. Calculate the beta of Anna’s portfolio. d. To reduce the systematic risk of the portfolio, Anna is considering 3 securities to add to the portfolio. Security A has a beta of 0, security B has a beta of 0.5 and Security C has a beta of -0.3. Discuss which security will be most effective in reducing the portfolio’s systematic risk? How would portfolio expected return change (higher or lower) if you add this security?
You have $18,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with an expected return of 11 percent. If your goal is to create a portfolio with an expected return of 12.18 percent, how much money will you invest in Stock X and Stock Y? (Do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.) Stock X Stock Y
Consider a portfolio with stocks A, B, and C. The total value of the portfolio is $245,000 and it is fully invested in these 3 stocks. $85,653 is invested in A and $69,552 is invested in B. The Betas of stocks A, B, and C are 1.2, .8, and 1.62, respectively. What is the Beta of the portfolio overall?
An investor has $1000 initial wealth for investment and he borrows another $500 at the risk free rate. He then invest the entire total amount of $1500 in the market portfolio. What is his portfolio beta?

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