LEI Corporation has the following capital structure: Debt 35%, Preferred stock 15%, and Common equity 50%. LEI is expected to pay a dividend of $4 per share next year, its stock currently sells for $50 per share, and investors expect dividends to grow at a constant rate of 6% in the future. LEI's tax rate is 40%. LEI can obtain new capital in the following ways: Preferred stock with a dividend of $10 can be sold to the public at a price of S100 per share. Debt can be issued at a coupon rate of 15%. a. Determine the cost of each capital component. b. Calculate the Weighted Average Cost of Capital (WACC). c. LEI has the following investment opportunities that are average-risk projects for the firm: Project Cost Internal Rate of Return A $20,000 13% B 17,000 12.5% C 15,000 12% D 14,000 11.5% E 12,000 11% Which projects should LEI accept? Why?
LEI Corporation has the following capital structure: Debt 35%, Preferred stock 15%, and Common equity 50%. LEI is expected to pay a dividend of $4 per share next year, its stock currently sells for $50 per share, and investors expect dividends to grow at a constant rate of 6% in the future. LEI's tax rate is 40%. LEI can obtain new capital in the following ways: Preferred stock with a dividend of $10 can be sold to the public at a price of S100 per share. Debt can be issued at a coupon rate of 15%. a. Determine the cost of each capital component. b. Calculate the Weighted Average Cost of Capital (WACC). c. LEI has the following investment opportunities that are average-risk projects for the firm: Project Cost Internal Rate of Return A $20,000 13% B 17,000 12.5% C 15,000 12% D 14,000 11.5% E 12,000 11% Which projects should LEI accept? Why?
Chapter14: Security Structures And Determining Enterprise Values
Section: Chapter Questions
Problem 1hM
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Please, use these formulas that are in the image only.
![LEI Corporation has the following capital structure: Debt 35%, Preferred stock 15%, and Common
equity 50%.
LEI is expected to pay a dividend of $4 per share next year, its stock currently sells for $50 per
share, and investors expect dividends to grow at a constant rate of 6% in the future. LEI's tax rate
is 40%.
LEI can obtain new capital in the following ways:
• Preferred stock with a dividend of $10 can be sold to the public at a price of S100 per share.
Debt can be issued at a coupon rate of 15%.
a. Determine the cost of each capital component.
b. Calculate the Weighted Average Cost of Capital (WACC).
c. LEI has the following investment opportunities that are average-risk projects for the firm:
Project
Cost
Internal Rate of Return
A
$20,000
13%
B
17,000
12.5%
15,000
12%
D
14,000
11.5%
E
12,000
11%
Which projects should LEI accept? Why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3992c155-40bc-4e22-9985-6d71c9e6f02f%2F40b66b60-a21d-477a-bf82-cc4b2f879a18%2Fhnhznr6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:LEI Corporation has the following capital structure: Debt 35%, Preferred stock 15%, and Common
equity 50%.
LEI is expected to pay a dividend of $4 per share next year, its stock currently sells for $50 per
share, and investors expect dividends to grow at a constant rate of 6% in the future. LEI's tax rate
is 40%.
LEI can obtain new capital in the following ways:
• Preferred stock with a dividend of $10 can be sold to the public at a price of S100 per share.
Debt can be issued at a coupon rate of 15%.
a. Determine the cost of each capital component.
b. Calculate the Weighted Average Cost of Capital (WACC).
c. LEI has the following investment opportunities that are average-risk projects for the firm:
Project
Cost
Internal Rate of Return
A
$20,000
13%
B
17,000
12.5%
15,000
12%
D
14,000
11.5%
E
12,000
11%
Which projects should LEI accept? Why?
![1-dividend growth model:
Rg =
+ g
D = expected dividend payment
P, = current price
g = constant divident growth rate
Rg = cost of equity
2-CAPM equation:
Rg = Rp + Be(E(R) – Rp)
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.
E(R ) -R: the expected market risk premium.
3-Approximating the cost
PV – Na
ra =
N+ 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, ra by 1 minus the tax rate, T, as stated in the following equation:
r = ra x (1 - T)
5-the cost of preferred stock
P =D/R
R=D/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
D
W = P/V = percent financed with preferred stock
P
WACC = w_ ×R_ +w_ xr +
+w
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3992c155-40bc-4e22-9985-6d71c9e6f02f%2F40b66b60-a21d-477a-bf82-cc4b2f879a18%2Fuleoyoj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1-dividend growth model:
Rg =
+ g
D = expected dividend payment
P, = current price
g = constant divident growth rate
Rg = cost of equity
2-CAPM equation:
Rg = Rp + Be(E(R) – Rp)
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.
E(R ) -R: the expected market risk premium.
3-Approximating the cost
PV – Na
ra =
N+ 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, ra by 1 minus the tax rate, T, as stated in the following equation:
r = ra x (1 - T)
5-the cost of preferred stock
P =D/R
R=D/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
D
W = P/V = percent financed with preferred stock
P
WACC = w_ ×R_ +w_ xr +
+w
D
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