A company’s capital structure consists solely of debt and common equity. It can issue debt at 15 percent interest rate, and its common stock is expected to pay a $5 dividend per share next year. The stock’s price is currently $40, its dividend is expected to grow at a constant rate of 3 percent per year; its tax rate is 30 percent and its weighted average cost of capital (WACC) is 14 percent. 1. Calculate the after-tax cost of debt and the cost of common equity. 2. What percentage of the company’s capital structure consists of common equity?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter11: Determining The Cost Of Capital
Section: Chapter Questions
Problem 5MC
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(Please, use these formulas that are in the image only). A company’s capital structure consists solely of debt and common equity. It can issue debt at 15 percent interest rate, and its common stock is expected to pay a $5 dividend per share next year. The stock’s price is currently $40, its dividend is expected to grow at a constant rate of 3 percent per year; its tax rate is 30 percent and its weighted average cost of capital (WACC) is 14 percent. 1. Calculate the after-tax cost of debt and the cost of common equity. 2. What percentage of the company’s capital structure consists of common equity?
1-dividend growth model:
D1
RE =
Po
D1 = expected dividend payment
Po = current price
g = constant divident growth rate
RE = cost of equity
2-CAPM equation:
RE = Rp + BE (E(RM) – RF)
Rg: The cost of equity
R: risk-free rate: the yield on newly issued Treasury bonds.
f
B: beta coefficient
E(R ): the expected market return.
E(R ) -R: the expected market risk premium.
m
3-Approximating the cost
PV –.
I +
– Na
n
ra
Na + PV
IFannual interest in dollars.
PV=Par Value.
Na
= net proceeds from the sale of debt (bond).
n = number of years to the bond's maturity.
4-The after-tax cost of debt
The after-tax cost of debt, r¡, can be found by multiplying the before-tax
cost, r a by 1 minus the tax rate, T, as stated in the following equation:
ri = ra x (1 – T)
5-the cost of preferred stock
P = D/R
R = D/P
P
Transcribed Image Text:1-dividend growth model: D1 RE = Po D1 = expected dividend payment Po = current price g = constant divident growth rate RE = cost of equity 2-CAPM equation: RE = Rp + BE (E(RM) – RF) Rg: The cost of equity R: risk-free rate: the yield on newly issued Treasury bonds. f B: beta coefficient E(R ): the expected market return. E(R ) -R: the expected market risk premium. m 3-Approximating the cost PV –. I + – Na n ra Na + PV IFannual interest in dollars. PV=Par Value. Na = net proceeds from the sale of debt (bond). n = number of years to the bond's maturity. 4-The after-tax cost of debt The after-tax cost of debt, r¡, can be found by multiplying the before-tax cost, r a by 1 minus the tax rate, T, as stated in the following equation: ri = ra x (1 – T) 5-the cost of preferred stock P = D/R R = D/P P
Weighted Average Cost of Capital- WACC
Notation
E = market value of equity = # of outstanding shares times
price per share
D=market value of debt = # of outstanding bonds times bond
price
P= market value of Preferred stock = # of outstanding
preferred shares times price per preferred share
V= market value of the firm = D +E+P
Weights
W = E/V=percent financed with equity
E
W_ =D/V=percent financed with debt
w = P/V = percent financed with preferred stock
WACC = w x R_ +w_ xr+w × R
E E D ĭ P P
Transcribed Image Text:Weighted Average Cost of Capital- WACC Notation E = market value of equity = # of outstanding shares times price per share D=market value of debt = # of outstanding bonds times bond price P= market value of Preferred stock = # of outstanding preferred shares times price per preferred share V= market value of the firm = D +E+P Weights W = E/V=percent financed with equity E W_ =D/V=percent financed with debt w = P/V = percent financed with preferred stock WACC = w x R_ +w_ xr+w × R E E D ĭ P P
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