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26 August, 16:15

Suppose Mr. Lane just bought a share of BlueWind Co., a renewable energy startup. BlueWind promises to pay Mr. Lane $18 in dividends for one year and then the firm will shut down. Suppose that the liquidation value of the share is $3, and the rate of time preference is 5%. Then, according to the single-period dividend discount model, the present value of the cash payment received by Mr. Lane in one year would be

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  1. 26 August, 18:55
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    The present value of the cash payment is $20

    Explanation:

    The present value of cash payment receivable by Mr Lane in one year's time is the today's equivalent amount of the dividend of $18 as well as the liquidation value of $3.

    The present value is the total cash inflows multiplied by the discount factor

    discount factor=1 / (1+r) ^n

    where is the rate of time preference of 5%'

    n is 1 i. e in one year's time

    total cash inflows=$18+$3=$21

    discount factor = 1 / (1+5%) ^1=0.95238

    present value of cash payment=0.95238*$21=$20
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