CONTEMP.FINANCIAL MGMT. (LL)-W/MINDTAP
14th Edition
ISBN: 9780357292877
Author: MOYER
Publisher: CENGAGE L
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Chapter 13, Problem 4P
a)
Summary Introduction
To determine: The optimal capital structure of firm.
b)
Summary Introduction
To determine: The difference between weighted cost of capital and optimal capital structure.
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Aaron Athletics is trying to determine its optimal capital structure. The company’s capital structure consists of debt and common equity. In order to estimate the cost of capital at various debt levels the company has constructed the following table:
Percent financed with debt (wD)
Percent financed with equity (ws)
Before tax cost of debt
0.10
0.90
7.0%
0.20
0.80
7.2%
0.30
0.70
8.0%
0.40
0.60
8.8%
0.50
0.50
9.6%
The company uses the CAPM to estimate its cost of equity, rS . The risk-free rate is 4% and the market risk premium is 5%. Aaron estimates that if it had no debt its beta would be 1.0. (It’s unlevered beta equals 1.0). The company’s tax rate is 40%.
On the basis of this information, what is the company’s optimal capital structure, and what is the WACC at that capital structure? (Show your calculations at each debt level).
Ilumina Corp is trying to determine its optimal capital structure. The company’s capital structure consists of debt and common stock. In order to estimate the cost of debt, the company has produced the following table:
Percent financed with debt (wd)
Percent financed with equity (wc)
Debt-to-equity ratio (D/S)
After-tax cost of debt (%)
0.25
0.75
0.25/0.75 = 0.33
6.9%
0.35
0.65
0.35/0.65 = 0.5385
7.1%
0.50
0.50
0.50/0.50 = 1.00
8.0%
The company uses the CAPM to estimate its cost of common equity, rs. The risk-free rate is 5% and the market risk premium is 6%. Ilumina estimates that its beta with 10% debt is 1. The company’s tax rate, T, is 40%. On the basis of this information, what is the company’s optimal capital structure, and what is the firm’s cost of capital at this optimal capital structure? (Please show work)
Given the following, determine the firm’s optimal capital structure:
Debt/Assets
After-Tax Cost of Debt
Cost of Equity
0
%
6
%
11
%
10
7
11
20
7
12
30
7
13
40
9
13
50
10
13
60
13
14
Round your answers for capital structure to the nearest whole number and for the cost of capital to one decimal place.
The optimal capital structure: % debt and % equity with a cost of capital of %
If the firm were using 60 percent debt and 40 percent equity, what would that tell you about the firm’s use of financial leverage? Round your answer for the cost of capital to one decimal place.
If the firm uses 60% debt financing, it would be using financial leverage. At that combination the cost of capital is %. The firm could lower the cost of capital by substituting .
What two reasons explain why debt is cheaper than equity?
Debt is cheaper than equity because interest expense . In addition, equity investors bear risk.
If the firm were…
Chapter 13 Solutions
CONTEMP.FINANCIAL MGMT. (LL)-W/MINDTAP
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