Posted by Linda Chapman on Monday, November 1, 2010 at 7:52pm.
Present Value of First 6-Years' Dividends:
6 ƒÃ[Do(1 + g1)t/(1 + ke)t]; Do = $5.00; g1 = .07; ke = .12
t=1
Present Value
Year Dividend Interest Factor Present Value
t Dt = 5.00(1 + .07)t PVIF.12,t Dt x PVIF.12,t
1 5.00(1 + .07)1 = .893 $ 4.778
$5.35
2 5.00(1 + .07)2 = .797 4.563
5.725
3 5.00(1 + .07)3 = .712 4.361
6.125
4 5.00(1 + .07)4 = .636 4.168
6.554
5 5.00(1 + .07)5 = .567 3.976
7.013
6 5.00(1 + .07)6 = .507 3.805
7.504
PV (First 6-Years' Dividends) $25.651
Value of Stock at End of Year 6:
P6 = D7/(ke - g2) g2 = .00
D7 = D6(1 + g2) = 7.504(1 + .00) = $7.504
P6 = 7.504/(.12 - .00) = $62.533
Present Value of P6:
PV(P6) = P6/(1 + ke)6 = 62.533/(1 + .12)6 = 62.533 x PVIF.12,6
= 62.533 X .507 = $31.704
Value of Common Stock (Po):
Po = PV (First 6-Years' Dividends) + PV(P6)
= 25.651 + 31.704 = $57.36 (tables)
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