Tartan Industries currently has total capital equal to $$4$ million, has zero debt, is in the $40\%$ federal$-$plus$-$state tax bracket, has a net income of $$1$ million, and distributes $40\%$ of its earnings as dividends. Net income is expected to grow at a constant rate of $3\%$ per year, $200,000$ shares of stock are outstanding, and the current WACC is $12\mathrm{.}30\%.$

The company is considering a recapitalization where it will issue $$2$ million in debttand use the proceeds to repurchase stock. Investment bankers have estimated that if the company goes through with the recapitalization, its before$-$tax cost of debt will be $10\%$ and its cost of equity will rise to $15\mathrm{.}5\%.$

a$.$ What is the stock's current price per share $($before the recapitalization$)?$

b$.$ Assuming that the company maintains the same payout ratio, what will be its stock price following the recapitalization? Assume that shares are repurchased at the price calculated in part a$.$