On a market at equilibrium stocks A (B-1.2) and B (B=0.7) offer returns of 15% and 10%, respectively. The standard deviation of the market index is 25%. An investor with a total budget of 120000 lei will buy 960 A shares for 48000 lei, 3600 B shares for 36000 lei, the difference being invested in stock C. The specific risk of this portfolio is zero and the variance of portfolio's returns is 8.1225%. a. Compute the rate of return on the portfolio b. The manager of company A decides to invest 40% of the annual EPS in projects that generate a return of 20% per year. EPS is in value of 10 lei. How will the price of the stock change? c. The manager of company B will implement a project that demands for an investment of 3.5 lei per share and generates over the next 20 years cash-flows of 1.1 lei per share. What is the impact on the stock's price?

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
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3. On a market at equilibrium stocks A (B-1.2) and B (ß-0.7) offer returns of 15% and 10%,
respectively. The standard deviation of the market index is 25%. An investor with a total budget
of 120000 lei will buy 960 A shares for 48000 lei, 3600 B shares for 36000 lei, the difference
being invested in stock C. The specific risk of this portfolio is zero and the variance of
portfolio's returns is 8.1225%.
a. Compute the rate of return on the portfolio
b. The manager of company A decides to invest 40% of the annual EPS in projects that
generate a return of 20% per year. EPS is in value of 10 lei. How will the price of the stock
change?
e. The manager of company B will implement a project that demands for an investment of 3.5
lei per share and generates over the next 20 years cash-flows of 1.1 lei per share. What is
the impact on the stock's price?
d. The manager of company C is analyzing a major investment project with a beta coefficent
of 1.8. 30% of the funds of the corporation will be used to implement the project. After the
project is implemented, the EPS of the company will be 13.8 lei and the expected return on
investments 24% per year. Compute the current price of the security given a dividend
payout ratio of 50%.
e. Considering the new price estimates, compute the return and risk on the portfolio if the
investor increases the budget with 80000 lei and buys a similar number of stocks A and B.
Transcribed Image Text:3. On a market at equilibrium stocks A (B-1.2) and B (ß-0.7) offer returns of 15% and 10%, respectively. The standard deviation of the market index is 25%. An investor with a total budget of 120000 lei will buy 960 A shares for 48000 lei, 3600 B shares for 36000 lei, the difference being invested in stock C. The specific risk of this portfolio is zero and the variance of portfolio's returns is 8.1225%. a. Compute the rate of return on the portfolio b. The manager of company A decides to invest 40% of the annual EPS in projects that generate a return of 20% per year. EPS is in value of 10 lei. How will the price of the stock change? e. The manager of company B will implement a project that demands for an investment of 3.5 lei per share and generates over the next 20 years cash-flows of 1.1 lei per share. What is the impact on the stock's price? d. The manager of company C is analyzing a major investment project with a beta coefficent of 1.8. 30% of the funds of the corporation will be used to implement the project. After the project is implemented, the EPS of the company will be 13.8 lei and the expected return on investments 24% per year. Compute the current price of the security given a dividend payout ratio of 50%. e. Considering the new price estimates, compute the return and risk on the portfolio if the investor increases the budget with 80000 lei and buys a similar number of stocks A and B.
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