# Chapter: 9 Problem: 18 INPUTS USED IN THE MODEL P0 \$50.00 Net Ppf \$30.00

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Chapter: 9 Problem: 18 INPUTS USED IN THE MODEL P0 \$50.00 Net Ppf \$30.00 Dpf \$3.50 D0 \$2.35 g 7% B-T rd 10% Skye's beta 0.95 Market risk premium, RPM 6.5% Risk free rate, rRF 6.0% 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 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: HERE THE CAPM AND THE DCF METHODS PRODUCE APPROXIMATELY THE SAME COST OF EQUITY. THAT OCCURRED BECAUSE WE

USED A BETA IN THE PROBLEM THAT FORCED THE SAME RESULT. ORDINARILY, THE TWO METHODS WILL PRODUCE SOMEWHAT DIFFERENT RESULTS.

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 company’s situation and explain why each project should be accepted or rejected. Beta rs rps rd(1 – T) WACC Expected return

on project Accept? Project A 0.5 Project B 1.0 Project C 2.0

• 9 years ago