195
■
■
less
()
()
or less
■
■
■
i
i
i i
capitalization rate
()
()
i()
i()
i()
…
i()
∞
i()
t
t
∞
∑
i()
t
t
∞
∑
CF
t
t CF
CF
2
N CF
N
N i
CF CF
CF
CF
CF
i()
CF
i()
CF
i()
…
CF
N
i()
N
CF
t
i()
t
t
N
∑
CF
i()
t
t
N
∑
CF
i()
t
t
N
∑
N
i
■
■
risk averse
CF()
CF
i
market equilib-
rium
Investor uses the discount rate and values the asset as
return
■
■
■
yield
− −
FV
PV
N
i
FV PV N
r
FV PV i
N
i
i
i
i −
internal rate of return
i ⁄
FV
PV
⁄
CF
t
t
i
PV
CF
CF
CF
PV
CF
i()
CF
i()
CF
i()
i()
i()
i()
i
N i
i
i i
Hewlett-Packard
10B
Hewlett-Packard
12C
Hewlett-Packard
17B
Texas Instruments
BA-II Plus
±
±
±
i()
t
t
∑
i()
t
t
∑
i()
t
t
∑
i
i
Hewlett-Packard
10B
Hewlett-Packard
12C
Hewlett-Packard
17B
Texas Instruments
BA-II Plus
±
±
±
↑
↑
↑
↑
↑
i()
i()
i()
i()
i()
effective annual return
FV PV i
N
FV PV N
i
i −
Year Cash Flow Value at the End of the Second Year
Year
Cash
Flow
Value at the End
of the Second Year
←
i()
−
i −
modified internal rate of
return
■
■
Year
Cash
Flow
Value at the End
of the Second Year
←
■
■
■
■
■
■
■
Investment 1:
Investment 2:
Investment 3:
Beginning Price Ending Price Number of Years
Year Cash Flow
211
not
cumulative feature
face value.
Summary of Features of Securities
Security Cash Flow Certainty of Cash Flow Maturity
D
P
r
e
required rate of return
P
()
()
…
P
D
r
e
()
D
r
e
()
…
D
r
e
()
x
P D r
e
P
growing D
g
D
P
D
r
e
()
t
t
∞
∑
P
D g()
r
e
()
D
g()
r
e
()
…
D
g()
∞
r
e
()
∞
P D
g()
r
e
()
g()
r
e
()
…
g()
∞
r
e
()
∞
P D
g()
t
r
e
()
t
t
∞
∑
D
D g D
D g D
Dividend Valuation Model
amount
D
P
Review of Economics and Statistics The Investment
Financing and Valuation of the Corporation
The Theory of Investment Value
P D
g()
r
e
g()
P
D
r
e
g
P
()
P
()
The Price of a Share of Stock with a Current Dividend of $2, a 6%
Growth in Dividends, and a 10% Required Rate of Return
g
r
e
D
g
g
less
decline
D r
e
g −
P
()