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0 X -W6 A Assignment: wWS Save Sunt adgment for Grading Que of Check My Work (3 remaining) Problem Wate-Through Nonconstant G
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Answer #1

The stock value (V) is the present value (PV) of all future cash flows (future dividends in this case).

PV of year-3 dividend = $0.5 / (1.14)3 = $0.5 / 1.4815 = $0.34 .... (1)

PV of year-4 dividend = $0.5 x 1.8 / (1.14)4 = $0.9 / 1.6890 = $0.53 ..... (2)

PV of year-5 dividend = $0.5 x 1.8 x 1.8 / (1.14)5 = $1.62 / 1.9254 = $0.84 ....(3)

PV of all future dividends thereafter = $1.62 x 1.05 / (0.14 - 0.05) = $1.701 / 0.09 = $18.9

Discounted back to current period, PV of this perpetual stream of dividend = $18.9 / (1.14)5 = $9.82 .....(4)

So, value of stock = (1) + (2) + (3) + (4) = $(0.34 + 0.53 + 0.84 + 9.82) = $11.53

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