Corporate Finance Chap 13

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CORPORATE FINANCE
Chapter 13: Risk, Cost of Capital, and Valuation
I. The Cost of Equity Capital:
- CAPM: R
S
= R
F
+ β(R
M
R
F
)
- To estimate a firm’s cost of equity capital, we need to know three things:
1. The risk-free rate, R F
2. The market risk premium, R
M
R
F
3. The company beta, βi = CovV ar(R(Ri,RMM) ) = σσiM,2M
II. Determinants of beta:
- Business risk
+ Cyclicality of Revenues:
Highly cyclical stocks have higher betas.
Note that cyclicality is not the same as variabilitystocks with high
standard deviations need not have high betas. + Operating Leverage:
Depreciation
The degree of operating leverage measures how sensitive a firm (or project)
is to its fixed costs.
Operating leverage increases as fixed costs rise and variable costs fall.
Operating leverage magnifies the effect of cyclicality on beta.
The degree of operating leverage is given by:
DOL = EBITEBIT x SalesSales
- Higher DOL Higher β
- Financial risk
+ Financial Leverage: interest expense
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βasset = Debt x β
+
xβ
Weight of debt Weight of Equity
= 0 in most of cases
- βequity > βasset
III. Dividend Discount Model (DDM):
-RS = DP1 + g
- P: market price
- The DDM is an alternative to the CAPM for calculating a firm’s cost of equity.
- The DDM and CAPM are internally consistent, but academics generally favor the
CAPM and companies seem to use the CAPM more consistently.
IV. Cost of Preferred Equity:
RP = DPP
- P: Market price
- D
P
: Preferred Dividend Ratio x FV ($100)
V. Cost of Debt (R
B
):
- Loan: R
B
Before tax
- Bond: YTM
- P = C[ RB ] + (1+FVRB)T
VI. Weight Average Cost of Capital (R
WACC
):
RWACC = ∑W iRi = W B x RB (1 − tc) + W RP P + W SRS
Debt
+
Equity
Debt
Equity
Debt
+
Equity
Equity
R
)
B
T
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W
B
: Weight of Debt
W
P
: Weight of preferred stock
W
S
: Weight of common stock
MV
B
= Bond price x Number of Bonds
MV
EP
= PP x Number of Preferred Equity
MV
EC
= PC x Number of Common Equity
W B = MV B+MVMVEPB+MV EC
MV EP
W P = MV B+MV EP +MV EC
MV EC
W S = MV
B+MV EP +MV EC
| 1/3

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lOMoAR cPSD| 36490632 CORPORATE FINANCE
Chapter 13: Risk, Cost of Capital, and Valuation I.
The Cost of Equity Capital:
- CAPM: RS = RF + β(RM RF )
- To estimate a firm’s cost of equity capital, we need to know three things:
1. The risk-free rate, R F
2. The market risk premium, RM RF
3. The company beta, βi = CovV ar(R(Ri,RMM) ) = σσiM,2M II. Determinants of beta: - Business risk + Cyclicality of Revenues:
● Highly cyclical stocks have higher betas.
● Note that cyclicality is not the same as variability—stocks with high
standard deviations need not have high betas. + Operating Leverage: Depreciation
● The degree of operating leverage measures how sensitive a firm (or project) is to its fixed costs.
● Operating leverage increases as fixed costs rise and variable costs fall.
● Operating leverage magnifies the effect of cyclicality on beta.
● The degree of operating leverage is given by:
DOL = ∆EBITEBIT x SalesSales - Higher DOL → Higher β - Financial risk
+ Financial Leverage: interest expense lOMoAR cPSD| 36490632 βasset = Equity Debt x β Debt + Equity Debt Debt + Equity Equity + xβ Weight of debt Weight of Equity = 0 in most of cases -
βequity > βasset III.
Dividend Discount Model (DDM):
-RS = DP1 + g - P: market price
- The DDM is an alternative to the CAPM for calculating a firm’s cost of equity.
- The DDM and CAPM are internally consistent, but academics generally favor the
CAPM and companies seem to use the CAPM more consistently. IV.
Cost of Preferred Equity: RP = DP P - P: Market price
- DP : Preferred Dividend Ratio x FV ($100) V.
Cost of Debt (RB ): - Loan: RB Before tax - Bond: YTM 1−(1+ − R ) T B - P = C[ RB
] + (1+FVRB)T VI.
Weight Average Cost of Capital (RWACC ):
RWACC = ∑W iRi = W B x RB (1 − tc) + W RP P + W SRS lOMoAR cPSD| 36490632 WB : Weight of Debt
WP : Weight of preferred stock WS : Weight of common stock
MVB = Bond price x Number of Bonds
MVEP = PP x Number of Preferred Equity
MVEC = PC x Number of Common Equity W B = MV
B+MVMVEPB+MV EC MV EP
W P = MV B+MV EP +MV EC MV EC W S = MV
B+MV EP +MV EC
Document Outline

  • CORPORATE FINANCE
    • DOL = ∆EBITEBIT x ∆SalesSales
    • RP = DPP
    • - P = C[ RB ] + (1+FVRB)T
      • W B = MV B+MVMVEPB+MV EC
      • W S = MV