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

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