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Chapter 19 PrinciplesPrinciples
ofof
CorporateCorporate
FinanceFinance
Tenth Edition
Financing and Valuation
Slides by
Matthew Will
Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved
McGraw Hill/Irwin
Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved
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Topics Covered
After Tax WACCValuing BusinessesUsing WACC in PracticeAdjusted Present ValueYour Questions Answered
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Capital Project Adjustments
1. Adjust the Discount Rate Modify the discount rate to reflect capital
structure, bankruptcy risk, and other factors.
2. Adjust the Present Value Assume an all equity financed firm and then
make adjustments to value based on financing.
Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved
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After Tax WACC
V
Er
V
DTcrWACC ED )1(
Tax Adjusted Formula
Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved
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After Tax WACC
Example - Sangria Corporation
The firm has a marginal tax rate of 35%. The cost of equity is 12.4% and the pretax cost of debt is 6%. Given the book and market value balance sheets, what is the tax adjusted WACC?
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After Tax WACC
Example - Sangria Corporation - continued
Balance Sheet (Book Value, millions)Assets 1,000 500 Debt
500 EquityTotal assets 1,000 1,000 Total liabilities
Balance Sheet (Book Value, millions)Assets 1,000 500 Debt
500 EquityTotal assets 1,000 1,000 Total liabilities
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After Tax WACC
Example - Sangria Corporation - continued
Balance Sheet (Market Value, millions)Assets 1,250 500 Debt
750 EquityTotal assets 1,250 1,250 Total liabilities
Balance Sheet (Market Value, millions)Assets 1,250 500 Debt
750 EquityTotal assets 1,250 1,250 Total liabilities
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After Tax WACC
Example - Sangria Corporation - continued
V
Er
V
DTcrWACC ED )1(
Debt ratio = (D/V) = 500/1,250 = .4 or 40%
Equity ratio = (E/V) = 750/1,250 = .6 or 60%
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After Tax WACC
Example - Sangria Corporation - continued
V
Er
V
DTcrWACC ED )1(
%0.9
090.
60.124.40.)35.1(06.
WACC
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After Tax WACCExample - Sangria Corporation - continued
The company would like to invest in a perpetual crushing machine with cash flows of $1.731 million per year pre-tax.
Given an initial investment of $12.5 million, what is the value of the machine?
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After Tax WACCExample - Sangria Corporation - continuedThe company would like to invest in a perpetual crushing machine with cash flows of $1.731 million per year pre-tax. Given an initial investment of $12.5 million, what is the value of the machine?
Cash FlowsPretax cash flow 1.731Tax @ 35% 0.606After-tax cash flow $1.125 million
Cash FlowsPretax cash flow 1.731Tax @ 35% 0.606After-tax cash flow $1.125 million
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After Tax WACCExample - Sangria Corporation - continuedThe company would like to invest in a perpetual crushing machine with cash flows of $1.731 million per year pre-tax. Given an initial investment of $12.5 million, what is the value of the machine?
009.
125.15.12
10
gr
CCNPV
009.
125.15.12
10
gr
CCNPV
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After Tax WACCExample - Sangria Corporation – continued
Perpetual Crusher project
Balance Sheet - Perpetual Crusher (Market Value, millions)Assets 12.5 5.0 Debt
7.5 EquityTotal assets 12.5 12.5 Total liabilities
Balance Sheet - Perpetual Crusher (Market Value, millions)Assets 12.5 5.0 Debt
7.5 EquityTotal assets 12.5 12.5 Total liabilities
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After Tax WACCExample - Sangria Corporation – continued
Perpetual Crusher project
93.0195.125.1)1(incomeequity Expected
195.5)35.1(06.)1(interestAfter tax
DTrC
DTr
CD
CD
93.0195.125.1)1(incomeequity Expected
195.5)35.1(06.)1(interestAfter tax
DTrC
DTr
CD
CD
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After Tax WACCExample - Sangria Corporation – continued
Perpetual Crusher project
12.4%or 124.5.7
93.0
ueequity val
incomeequity expectedreturnequity Expected
Er
12.4%or 124.5.7
93.0
ueequity val
incomeequity expectedreturnequity Expected
Er
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Capital Budgeting
Valuing a Business or Project
HH
HH
r
PV
r
FCF
r
FCF
r
FCFPV
)1()1(...
)1()1( 22
11
PV (free cash flows) PV (horizon value)
In this case r = waccIn this case r = wacc
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WACC vs. Flow to Equity
– If you discount at WACC, cash flows have to
be projected just as you would for a capital
investment project. Do not deduct interest.
Calculate taxes as if the company were all-
equity financed. The value of interest tax
shields is picked up in the WACC formula.
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WACC vs. Flow to Equity
– The company's cash flows will probably not be forecasted
to infinity. Financial managers usually forecast to a
medium-term horizon -- ten years, say -- and add a
terminal value to the cash flows in the horizon year. The
terminal value is the present value at the horizon of post-
horizon flows. Estimating the terminal value requires
careful attention, because it often accounts for the
majority of the value of the company.
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WACC vs. Flow to Equity
– Discounting at WACC values the assets and
operations of the company. If the object is to
value the company's equity, that is, its common
stock, don't forget to subtract the value of the
company's outstanding debt.
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Tricks of the Trade
What should be included with debt?
– Long-term debt?
– Short-term debt?
– Cash (netted off?)
– Receivables?
– Deferred tax?
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After Tax WACC
Preferred stock and other forms of financing must be included in the formula
EPD r
V
Er
V
Pr
V
DTcWACC )1(
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Tricks of the Trade
How are costs of financing determined?– Return on equity can be derived from market data
– Cost of debt is set by the market given the specific rating of a firm’s debt
– Preferred stock often has a preset dividend rate