Question:Wycliffe Ltd has outstanding bonds with before tax cost of 11.25%. They are in the 40% tax bracket. They wish to maintain a capital structure of 35% debt, 10% preferred stock and 55% common equity. Wycliffe can sell preferred shares for $110 that will pay an annual dividend of $12. Common shares currently sell for $35 and recently paid a per share dividend of $1.20. This dividend is expected to grow at a constant 8%. What is the WACC?

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
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Please, use these formulas that are in the images only. Question:Wycliffe Ltd has outstanding bonds with before tax cost of 11.25%. They are in the 40% tax bracket. They wish to maintain a capital structure of 35% debt, 10% preferred stock and 55% common equity. Wycliffe can sell preferred shares for $110 that will pay an annual dividend of $12. Common shares currently sell for $35 and recently paid a per share dividend of $1.20. This dividend is expected to grow at a constant 8%. What is the WACC?
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
P
WACC = w x R +w_ x r+w x R
E E D i 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 P WACC = w x R +w_ x r+w x R E E D i P P
1-dividend growth model:
RE =
+ g
Ро
expected dividend payment
= current price
g = constant divident growth rate
RE = cost of equity
D, =
Po
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.
B: beta coefficient
E(R ): the expected market return.
m
E(R ) -R: the expected market risk premium.
m
3-Approximating the cost
PV -
I +
- Na.
n
Na + PV
2
I=annual 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, ri, 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
P.
R = D/P
P
Transcribed Image Text:1-dividend growth model: RE = + g Ро expected dividend payment = current price g = constant divident growth rate RE = cost of equity D, = Po 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. B: beta coefficient E(R ): the expected market return. m E(R ) -R: the expected market risk premium. m 3-Approximating the cost PV - I + - Na. n Na + PV 2 I=annual 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, ri, 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 P. R = D/P P
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