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?
Cost of Capital
Shareholders and investors who invest into the capital of the firm desire to have a suitable return on their investment funding. The cost of capital reflects what shareholders expect. It is a discount rate for converting expected cash flow into present cash flow.
Capital Structure
Capital structure is the combination of debt and equity employed by an organization in order to take care of its operations. It is an important concept in corporate finance and is expressed in the form of a debt-equity ratio.
Weighted Average Cost of Capital
The Weighted Average Cost of Capital is a tool used for calculating the cost of capital for a firm wherein proportional weightage is assigned to each category of capital. It can also be defined as the average amount that a firm needs to pay its stakeholders and for its security to finance the assets. The most commonly used sources of capital include common stocks, bonds, long-term debts, etc. The increase in weighted average cost of capital is an indicator of a decrease in the valuation of a firm and an increase in its risk.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3992c155-40bc-4e22-9985-6d71c9e6f02f%2F3e2cecba-426e-44cd-968c-da3e56f3628e%2Fqjx8v4k_processed.jpeg&w=3840&q=75)
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3992c155-40bc-4e22-9985-6d71c9e6f02f%2F3e2cecba-426e-44cd-968c-da3e56f3628e%2Fo0uzptr_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Essentials Of Investments](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781260013924/9781260013924_smallCoverImage.jpg)
![FUNDAMENTALS OF CORPORATE FINANCE](https://www.bartleby.com/isbn_cover_images/9781260013962/9781260013962_smallCoverImage.gif)
![Financial Management: Theory & Practice](https://www.bartleby.com/isbn_cover_images/9781337909730/9781337909730_smallCoverImage.gif)
![Essentials Of Investments](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781260013924/9781260013924_smallCoverImage.jpg)
![FUNDAMENTALS OF CORPORATE FINANCE](https://www.bartleby.com/isbn_cover_images/9781260013962/9781260013962_smallCoverImage.gif)
![Financial Management: Theory & Practice](https://www.bartleby.com/isbn_cover_images/9781337909730/9781337909730_smallCoverImage.gif)
![Foundations Of Finance](https://www.bartleby.com/isbn_cover_images/9780134897264/9780134897264_smallCoverImage.gif)
![Fundamentals of Financial Management (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337395250/9781337395250_smallCoverImage.gif)
![Corporate Finance (The Mcgraw-hill/Irwin Series i…](https://www.bartleby.com/isbn_cover_images/9780077861759/9780077861759_smallCoverImage.gif)