The Quick Buck Company is an all-equity firm that has been in existence for the past three years. Company management expects that the company will last for two more years and then be dissolved. The firm will generate cash flows of $450,000 next year and $790,000 in two years, including the proceeeds from the liquidation. There are 20,000 shares of stock outstanding and shareholders require a return of 12 percent. Required:
What is the current price per share of the stock?

$53.09

Explanation:

Calculation to determine current price per share of the stock

First step is to determine the Dividend per share in Year 1

Using this formula

Dividend per share in Year 1 = Cash flow generated next year / Number of shares

Let plug in the formula

Dividend per share in Year 1 == $450,000 / 20,000

Dividend per share in Year 1 == $ 22.5

Second step is to determine the Dividend per share in Year 2 using this formula

Dividend per share in Year 2 = Cash flow generated in two years / Number of shares

Let plug in the formula

Dividend per share in Year 2 = $790,000 / 20,000

Dividend per share in Year 2 = $39.5

Dividend per share in Year 2 =$40 Approximately

Now let determine the Share price today using this formula

Share price today = [ Dividend in Year 1 / (1 + Required rate of return) ] + [ Dividend in Year 2 / (1 + Required rate of return)2 ]

Let plug in the formula

Share price today = [22.5 /(1+.12)]+ (40 / 1.12^2

Share price today = (22.5 /1.12) + (40 / 1.12^2)

Share price today =$20.09+(40/1.25)

Share price today =$20.09+32

Share price today = $ 53.09

Therefore current price per share of the stock

Is $53.09

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