Division You have been asked to estimate the beta of a high-technology firm, which has three divisions with the following characteristics. Personal Computers Software Computer Mainframes a. b. C. d. Beta 1.6 2.00 1.2 Market Value $100 million $150 million $250 million What is the beta of the equity of the firm? If the risk free return is 5% and the spread between the return on all stocks is 5.5%, estimate the cost of equity for the software division? What is the cost of equity for the entire firm? Free cash flow to equity investors in the current year (FCFE) for the entire firm is $7.4 million and for the software division is $3.1 million. If the total firm and the software division are expected to grow at the same 8% rate into the foreseeable future, estimate the market value of the firm and of the software division.
Division You have been asked to estimate the beta of a high-technology firm, which has three divisions with the following characteristics. Personal Computers Software Computer Mainframes a. b. C. d. Beta 1.6 2.00 1.2 Market Value $100 million $150 million $250 million What is the beta of the equity of the firm? If the risk free return is 5% and the spread between the return on all stocks is 5.5%, estimate the cost of equity for the software division? What is the cost of equity for the entire firm? Free cash flow to equity investors in the current year (FCFE) for the entire firm is $7.4 million and for the software division is $3.1 million. If the total firm and the software division are expected to grow at the same 8% rate into the foreseeable future, estimate the market value of the firm and of the software division.
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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
Transcribed Image Text:Division
Personal Computers
Software
Computer Mainframes
a.
You have been asked to estimate the beta of a high-technology firm, which has three divisions
with the following characteristics.
b.
C.
d.
a.
b.
C.
d,
Beta
1.6
2.00
=
1.2
Market Value
$100 million
$150 million
$250 million
What is the beta of the equity of the firm?
If the risk free return is 5% and the spread between the return on all stocks is 5.5%,
estimate the cost of equity for the software division?
What is the cost of equity for the entire firm?
Free cash flow to equity investors in the current year (FCFE) for the entire firm is $7.4
million and for the software division is $3.1 million. If the total firm and the software
division are expected to grow at the same 8% rate into the foreseeable future, estimate
the market value of the firm and of the software division.
Answer:
Beta 1.6 x 100/500 + 2.00 x 150/500 + 1.2 x 250/500 =1.52
COE (software division) = .05 + 2.0 (.055) = 16%
COE (entire firm) = .05 + 1.52 (.055) = 13.4%
PV (total firm) = $7.4 (1.08) / (.134 - .08) = 7.99/.054 = $148
PV (software division) = $3.1 (1.08) / (.16 - .08) = $3.35 / .08 = $41.85
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