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Recapitalization Tapley Inc, currently has capital equal to $6 million, has zero

ID: 2778414 • Letter: R

Question

Recapitalization Tapley Inc, currently has capital equal to $6 million, has zero debt, is in the 40% federal-plus-state tax bracket, has a net income of $4 million, and pays out 40% of its earning as dividends Net income is expected to grow at a constant rate of 4% per year, 340,000 shares of stock are outstanding, and the current WACC is 13.60%. What is the stock's current price per shard Assuming that the company maintains the same payout ratio, Round your answer to the nearest cent. Do not round intermediate steps.

Explanation / Answer

Stock price before recapitalization

Dividend per share= net income x Dividend payout ratio / shares outstanding

                                      = 4,000,000 x 40% / 340,000

Do= 4.706

G= 4%

Ke = 13.80%

Price = Do x (1+g)/(ke-g)

          = 4.706 x (1+0.04)/(0.1380-0.04)

          = 4.89424/0.098

          = 49.94

Stock price After recapitalization

No of stocks replaced = 2,000,000/ 49.94

                                           =40,048

No. of stocks outstanding = 340,000 – 40,048

                                                   = 299,952

Total interest on debt = amount of debt x interest rate

                                                =2,000,000 x11%

                                                = 220,000

After tax interest cost = 220,000x(1-0.40)

                                                =132,000

Net income after recapitalization = net income before capitalization – after tax interest

                                                                = 4,000,000-132,000

                                                                = 3.868,000

Dividend per share= net income x Dividend payout ratio / shares outstanding

                                      = 3,868,000x 40% / 299,952

                                      = 5.1581

G=4%

Ke=16.50%

Price = Do x (1+g)/(ke-g)

         = 5.1581x (1+0.04)/(0.1650 -0.04)

          = 5.364424/0.125

          = 42.92