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Chapter: 9 Problem: 18 INPUTS USED IN THE MODEL P 0 $45.00 Net P pf $28.00 D pf $3.25 D 0 $2.20 g 6% B-T

Chapter: 9
Problem: 18
INPUTS USED IN THE MODEL
P0 $45.00
Net Ppf $28.00
Dpf $3.25
D0 $2.20
g 6%
B-T rd 9%
Skye's beta 1.05
Market risk premium, RPM 5.5%
Risk free rate, rRF 5.5%
Target capital structure from debt 40%
Target capital structure from preferred stock 5%
Target capital structure from common stock 55%
Tax rate 35%
Flotation cost for common 10%
a. Calculate the cost of each capital component, that is, the after-tax cost of debt, the cost of preferred stock (including flotation costs), and the cost of equity (ignoring flotation costs). Use both the DCF method and the CAPM method to find the cost of equity.
Cost of debt:
B-T rd (1 T) = A-T rd
image text in transcribedimage text in transcribed_________________ _______________ ______________
Cost of preferred stock (including flotation costs):
Dpf / Net Ppf = rpf
_________ ____________ ___________
Cost of common equity, DCF (ignoring flotation costs):
D1 / P0 + g = rs
_____________ _________ ______ ________
Cost of common equity, CAPM:
rRF + b RPM = rs
_______ __________ = _____
IMPORTANT NOTE: THE CAPM AND THE DCF METHODS MAY PRODUCE A VERY SIMILAR COST OF EQUITY.
b. Calculate the cost of new stock using the DCF model.
D0 (1 + g) / P0 (1 F) + g = re
___________ ____________ ______ ______
c. What is the cost of new common stock based on the CAPM? (Hint: Find the difference between re and rs as determined by the DCF method and add that differential to the CAPM value for rs.)
rs + Differential = re
______ + ________ = _______
Again, we would not normally find that the CAPM and DCF methods yield identical results.
d. Assuming that Gao will not issue new equity and will continue to use the same capital structure, what is the company's WACC?
wd 40.0%
wpf 5.0%
ws 55.0%
100.0%
wd A-T rd + wpf rpf + ws rs = WACC
___________ _______ ______ = _______
e. Suppose Gao is evaluating three projects with the following characteristics:
(1) Each project has a cost of $1 million. They will all be financed using the target mix of long-term debt, preferred
stock, and common equity. The cost of the common equity for each project should be based on the beta estimated for
the project. All equity will come from reinvested earnings.
(2) Equity invested in Project A would have a beta of 0.5. The project has an expected return of 9.0%.
(3) Equity invested in Project B would have a beta of 1.0. The project has an expected return of 10.0%.
(4) Equity invested in Project C would have a beta of 2.0. The project has an expected return of 11.0%.
Analyze the companys situation and explain why each project should be accepted or rejected.
Beta rs rps rd(1 T) WACC Expected return on project Accept? (Yes or No)
Project A 0.5 ___ ____ ____ ___ ___ ___
Project B 1.0 ___ ____ ____ ___ ___ ___
Project C 2.0 ___ ____ ____ ___ ___ ___

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