For examples 1 and 2, assume the net cash flow is 2,000,000, the tax rate is 40% and the cost of common equity is 10% which is computed using the CAPM equation. Explain in a few sentences what each example means.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter3: Evaluation Of Financial Performance
Section: Chapter Questions
Problem 7P
icon
Related questions
Question
For examples 1 and 2, assume the net cash flow is 2,000,000, the tax rate is 40% and the cost of common equity is 10% which is computed using the CAPM equation. Explain in a few sentences what each example means.
Example 1: Value of Common Equity in an All-Equity Firm
Assume that the common equity shareholders have financed the asset entirely with $10 mil-
lion of equity capital. We can determine the value of the common equity investment to the
shareholders using the present value of free cash flows for common equity shareholders.
The free cash flow to common equity shareholders each year will be as follows:
Net Cash Flow
Income Taxes: 0.40 X $2,000,000
Free Cash Flow for Common Equity Shareholders
$2,000,000
(800,000)
$1,200,000
The value to the shareholders of the common equity in the firm
(= $1,200,000/0.10). Dividing by the discount rate is appropriate because the $1.2 million
annual free cash flow for common equity is a perpetuity with no growth. This investment
is worth $12 million to those shareholders (a gain of $2 million over the original invest-
ment of $10 million) because of the present value of the free cash flows the investment will
generate and that will in turn be paid out as dividends to the shareholders. Therefore, we
would determine the same value for the investment using the dividends-based valuation
model as shown in Example 5 in Chapter 11.
$12,000,000
z
Example 2: Value of Common Equity in a Firm with Debt Financing
For this example, we will make the same assumptions as in the preceding example, except we
will now make the following additional assumptions to use both debt and equity financing:
• The equity shareholders finance a portion of the investment in the asset with $4 mil-
lion of equity capital.
• The firm finances the remainder of the asset using $6 million of debt capital.
• This amount of debt in the firm's capital structure does not alter substantially the risk
of the firm to the equity investors, so they continue to require a 10 percent rate of
return.
• The debt is issued at par, and it is less risky than equity; so the debtholders demand
interest of only 6 percent each year, payable at the end of each year.
• Interest expense is deductible for income tax purposes.
We can again determine the value of the common equity investment using the present
value of free cash flows for commen
Transcribed Image Text:Example 1: Value of Common Equity in an All-Equity Firm Assume that the common equity shareholders have financed the asset entirely with $10 mil- lion of equity capital. We can determine the value of the common equity investment to the shareholders using the present value of free cash flows for common equity shareholders. The free cash flow to common equity shareholders each year will be as follows: Net Cash Flow Income Taxes: 0.40 X $2,000,000 Free Cash Flow for Common Equity Shareholders $2,000,000 (800,000) $1,200,000 The value to the shareholders of the common equity in the firm (= $1,200,000/0.10). Dividing by the discount rate is appropriate because the $1.2 million annual free cash flow for common equity is a perpetuity with no growth. This investment is worth $12 million to those shareholders (a gain of $2 million over the original invest- ment of $10 million) because of the present value of the free cash flows the investment will generate and that will in turn be paid out as dividends to the shareholders. Therefore, we would determine the same value for the investment using the dividends-based valuation model as shown in Example 5 in Chapter 11. $12,000,000 z Example 2: Value of Common Equity in a Firm with Debt Financing For this example, we will make the same assumptions as in the preceding example, except we will now make the following additional assumptions to use both debt and equity financing: • The equity shareholders finance a portion of the investment in the asset with $4 mil- lion of equity capital. • The firm finances the remainder of the asset using $6 million of debt capital. • This amount of debt in the firm's capital structure does not alter substantially the risk of the firm to the equity investors, so they continue to require a 10 percent rate of return. • The debt is issued at par, and it is less risky than equity; so the debtholders demand interest of only 6 percent each year, payable at the end of each year. • Interest expense is deductible for income tax purposes. We can again determine the value of the common equity investment using the present value of free cash flows for commen
Example 2: Value of Common Equity in a Firm with Debt Financing
For this example, we will make the same assumptions as in the preceding example, except we
will now make the following additional assumptions to use both debt and equity financing:
• The equity shareholders finance a portion of the investment in the asset with $4 mil-
lion of equity capital.
• The firm finances the remainder of the asset using $6 million of debt capital.
This amount of debt in the firm's capital structure does not alter substantially the risk
of the firm to the equity investors, so they continue to require a 10 percent rate of
return.
• The debt is issued at par, and it is less risky than equity; so the debtholders demand
interest of only 6 percent each year, payable at the end of each year.
• Interest expense is deductible for income tax purposes.
We can again determine the value of the common equity investment using the present
value of free cash flows for common equity shareholders. Note that this example is essen-
tially the same as Example 6 in Chapter 11, except that the valuation focus changes from
dividends to free cash flows. The free cash flow available to common equity shareholders
each year
is as follows:
Net Cash Flow for All Debt and Equity Capital
Interest Paid on Debt: 0.06 X $6,000,000
Income Taxes: 0.40 X ($2,000,000
$360,000)
Free Cash Flow for Common Equity Shareholders
Scanned by CamScanner
$2,000,000
(360,000)
(656,000)
$984,000
Transcribed Image Text:Example 2: Value of Common Equity in a Firm with Debt Financing For this example, we will make the same assumptions as in the preceding example, except we will now make the following additional assumptions to use both debt and equity financing: • The equity shareholders finance a portion of the investment in the asset with $4 mil- lion of equity capital. • The firm finances the remainder of the asset using $6 million of debt capital. This amount of debt in the firm's capital structure does not alter substantially the risk of the firm to the equity investors, so they continue to require a 10 percent rate of return. • The debt is issued at par, and it is less risky than equity; so the debtholders demand interest of only 6 percent each year, payable at the end of each year. • Interest expense is deductible for income tax purposes. We can again determine the value of the common equity investment using the present value of free cash flows for common equity shareholders. Note that this example is essen- tially the same as Example 6 in Chapter 11, except that the valuation focus changes from dividends to free cash flows. The free cash flow available to common equity shareholders each year is as follows: Net Cash Flow for All Debt and Equity Capital Interest Paid on Debt: 0.06 X $6,000,000 Income Taxes: 0.40 X ($2,000,000 $360,000) Free Cash Flow for Common Equity Shareholders Scanned by CamScanner $2,000,000 (360,000) (656,000) $984,000
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Forecasting Financial Statement
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Intermediate Financial Management (MindTap Course…
Intermediate Financial Management (MindTap Course…
Finance
ISBN:
9781337395083
Author:
Eugene F. Brigham, Phillip R. Daves
Publisher:
Cengage Learning
Corporate Fin Focused Approach
Corporate Fin Focused Approach
Finance
ISBN:
9781285660516
Author:
EHRHARDT
Publisher:
Cengage
Entrepreneurial Finance
Entrepreneurial Finance
Finance
ISBN:
9781337635653
Author:
Leach
Publisher:
Cengage
EBK CFIN
EBK CFIN
Finance
ISBN:
9781337671743
Author:
BESLEY
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage