Assume that you hold a well-diversified portfolio that has an expected return of 8.02% and a beta of 0.99. You are in the process of buying 1,000 shares of Alpha Corp at $10 a share and adding it to your portfolio. Alpha has an expected return of 13.10% and a beta of 1.48. The total value of your current portfolio is $90,000. What is the expected return of the new portfolio?

Assume that you hold a well-diversified portfolio that has an expected return of 8.02% and a beta of 0.99. You are in the process of buying 1,000 shares of Alpha Corp at $10 a share and adding it to your portfolio. Alpha has an expected return of 13.10% and a beta of 1.48. The total value of your current portfolio is $90,000. What is the expected return of the new portfolio?

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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Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decide to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stocks beta to 1.75. Calculate your portfolios new beta.
Suppose you hold a diversified portfolio consisting of a $4,000 investment in each of 14 different common stocks. The portfolio beta is 1.30. You decide to sell one of the stocks in your portfolio with a beta equal to 0.8 for $3,500 and use these proceed to buy another stock for your portfolio. Assume the new stock’s beta is equal to 1.75. Calculate your portfolio’s beta.
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?
You have been managing a $5 million portfolio that hasa beta of 1.15 and a required rate of return of 11.475%. The current risk-free rate is 4%.Assume that you receive another $500,000. If you invest the money in a stock with a beta of0.85, what will be the required return on your $5.5 million portfolio?
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 ? %
You have $100,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 24% .Suppose Stock X has an expected return of 18% and beta of 1.4, and Stock Y has an expected return of 12% and beta of 0.8 %. 1. How much money will you invest in Stock Y? 2. What is the beta of your portfolio?
Suppose you hold a diversified portfolio consisting of a $7,500 investment in eachof 20 different common stocks. The portfolio beta is equal to 1.12. Now, supposeyou have decided to sell one of the stocks in your portfolio with a beta equal to 1.0for $7,500 and to use these proceeds to buy another stock for your portfolio.Assume the new stock’s beta is equal to 1.75. Calculate your portfolio’s new beta.
You are currently considering in investing Rs.1.2 million in equity investment portfolio. Your analysis reveals that equity stock of the following three companies are suitable options for your investment. Company P R Expected retum (%) Standard deviation (%) Correlation coefficient; 25 22 20 30 26 24 PQ QR -0.5 +0.4 PR +0.6 You are required to; (a) Calculate the expected returm of the portfolio if Rs.1.2 million is equally invested in the stocks of all three companies.
You have $122,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 17.6 percent. Stock X has an expected return of 14.0 percent and a beta of 1.26, and Stock Y has an expected return of 9.5 percent and a beta of 1.00. a. How much money will you invest in Stock Y? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) b. What is the beta of your portfolio?
You have $100,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 13 percent. If Stock X has an expected return of 31 perCent and a beta of 1.80, and Stock Y has an expected return of 20 percent and a beta of 1.3 .how much money will you invest in Stocky? How do you interpret your answer? What is the beta of your portfolio?
Suppose you held a diversified portfolio consisting of a $7,500 investmentin each of 20 different common stocks. The portfolio’s beta is 1.25. Now suppose you decided tosell one of the stocks in your portfolio with a beta of 1.0 for $7,500 and use the proceeds to buyanother stock with a beta of 0.80. What would your portfolio’s new beta be?
You have a $1,000 portfolio which is invested in stocks A, B, and a risk-free asset. $400 is invested in stock A. Stock A has a beta of 1.33 and stock B has a beta of 0.66. How much needs to be invested in stock B if you want a portfolio beta of 0.94?

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