Question

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Calculate the current price per share (P0) for Olson Corporation, given the following information. The data...

Calculate the current price per share (P0) for Olson Corporation, given the following information. The data all pertain to the year just ended.

           Sales                                      = 100,000 units

           Sales price per unit                      = $100.00

           Variable cost per unit                     = $70.00

           Fixed cost                                   = $100,000

           Debt outstanding                         = $500,000

           Interest rate on debt                  = 10 percent

           Tax Rate                                    = 40 percent

           Common stock shares

                      outstanding                        = 100,000 shares

           Beta                                              = 1.2

           kRF                                            = 2 percent

           kM                                                = 8 percent

           Pay-out ratio                                = 30 percent

           Growth rate in earnings

                      and dividends                   = 4 percent

$ 98.65

$342.00

$ 68.40

$102.60

$133.38

5 points   

Solutions

Expert Solution

- Preparing the Income Statement to determine the Dividend just ended:-

Particular Explanation Amount in $
Sales [$100*100,0000]              10,000,000.00
Less: COGS [$70*100,0000]              (7,000,000.00)
Fixed Costs                  (100,000.00)
EBIT                2,900,000.00
Interest Expenses [$500,000*10%]                    (50,000.00)
Earning before tax                2,850,000.00
Taxes @40%              (1,140,000.00)
Net Income                1,710,000.00

- Dividend Payout ratio = 30%

- Dividend = Net Income*Dividend Payout ratio

=$1710,000*30%

=$513,000

- Dividend per share(D0) = Dividend/No of shares Outstanding

=$513,000/100,000 shares

= $5.13 per share

- Growth rate in Dividends (g) =4%

As per CAPM,

Rf = Risk free Return = 2%

Rm = Market return = 8%

Beta = 1.2

Required rate of Return(Ke) = 2% + 1.2(8% - 2%)

= 9.2%

Calculating the Current Price per share(P0):-

P0 = $ 102.6 per share

So, the current price per share (P0) for Olson Corporation is $102.6 per share

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