Suppose that Defenestration decides to pay a dividend of only $2 per share this year and use the remaining $2 per share to repurchase stock. If Defenestration maintains this dividend and total payout rate, then the rate at which Defenestration's dividends and earnings per share are expected to grow is closest to what?

Missing word "Defenestration Industries plans to pay a $4.00 dividend this year and you expect that the firm's earnings are on track to grow at 5% per year for the foreseeable future. Defenestration's equity cost of capital is 13%."

P0 = dividend payout per share/ (k-g)

Where g is firms earning growth = 5% or 0.05

And k is the cost of capital = 13% or 0.13

Therefore P0 = $4 / (0.13 -0.05) = $50

But if the payout is $2 per share and $2 per share is used to repurchase stock then to get the price of the stock in one year given the current price of $50.00, dividend at $2 and the 13% cost of capital we get

$50 = $2 + X / (1.13)

Therefore x = $54.5

At a current price of $50, we can expect that Defenestration Industries stock to sell for $54.50 immediately after the firm pays the dividend in one year

Therefore the growth is (54.5 -50)/50 = 9%

answer; only identify and interpret trends in the marketplace;