This document discusses various methods for valuing a firm and its equity, including:
1) The present value discounted cash flow (DCF) method and constant free cash flow and dividend growth methods for valuing a firm and its equity.
2) How the price/earnings ratio relates to equity value.
3) Formulas for valuing a firm under constant free cash flow growth and variable growth assumptions using the DCF approach.
2. Objectives
• Firm and equity fair valuation methods
o Present value DCF method
o Constant free cash flow and dividend growth methods
• Drivers of equity value
• The price / earnings ratio
2
3. Value of Simple Corp
3
Book Value Market or Fair Value
V=D+E=
FCFi
(1+k)i
i=1
N
å
k = kD ×(1 - t)×
D
V
+ kE ×
E
V
4. Constant FCF Growth
• In the case where FCF is assumed to grow at a constant rate, gFCF,
a simple formula is found from series convergence
V0 =
FCF1
k-gFCF
4
V0 =
FCFi
(1+k)i
i=1
N
å
V0 = FCF1 ×
(1+gFCF )i-1
(1+ k)i
i=1
¥
å
V0 =FCF1 ×
1
1+k
+
(1+gFCF )
(1+k)2
+
(1+gFCF )2
(1+k)3
+...+
(1+gFCF )∞-1
(1+k)∞
é
ë
ê
ù
û
ú
FCF1=FCF0 ×(1+gFCF )
FCFi =FCFi-1 ×(1+gFCF )
V0 =
FCF0 × 1+gFCF( )
k-gFCF
or
5. Constant FCF Growth
• As the spread between
the rate cost and cash
flow growth rate
narrows, convergence
slows considerably
• As cash flow growth rate
approaches the rate
cost, the series does not
converge
5
6. Variable Growth Value
1 2 3 4 5 6 7 8 9 10 11 12 13 14
FCF
Years H
V0 =
FCFi
(1+ k)i
i=1
10
å
é
ë
ê
ù
û
ú+
FCF11
(k -gFCF )
×
1
(1+ k)10
é
ë
ê
ù
û
ú
6
7. Variable Growth Value
V0 =
FCFi
(1+k)i
i=1
H
å
é
ë
ê
ù
û
ú+
FCFH+1
(k-gFCF )
×
1
(1+k)H
é
ë
ê
ù
û
ú
7
0 1 H H+1 N
gFCF
Step 2
Step 3
Step 1
8. Dividend Discount Model
• Method is most applicable to firms that have a high dividend payout
ratio
• Assume that last dividend is a total repurchase of the stock
i = 0 1 2 3 4 5 N
DIV1
8
DIVN
9. Equity Value Management
• Explore the relationships between
o Earnings growth
o Dividend payouts
o Cost of equity
o Fair value of equity
• Based on the Dividend Growth Model with constant
dividend growth assumption
9
Banks make collateralized loans,
Short term debt on your balance sheet
You want an equity investment
Privet offering or public offering
Secondary market
Capital ?
Claim on the company for which a return is expected
Accounts buyable
Loan
Bond Equity
Note gray line. OCE is needed to fund the cash cycle and is assume to earn no interest or dividends
NOCE is excess cash and probably does earn interest or dividends
Don’t need cash, buy back stock or bonds
Sell off or cash out IS
Captial need to support opearing assets
IF T = 0, further simplity
Fairway Corp has all cash in OCE (NOCE=0)
Remember to include OCE in OCA