XYZ Company is currently $100\%$ equity and zero growth. The firm has an annual EBIT of $$1,000,000,$ its current cost of equity is $7\%,$ and the corporate tax rate is $25\%($assume personal taxes are zero$).$ XYZ currently has $200,000$ shares outstanding.

The firm's CFO has decided to recapitalize by issuing $$5,000,000$ in debt that carries an interest rate of $5\%$ and repurchasing shares. Assuming that the assumptions of the Modigilani and Miller models hold, what is the expected change in the value per share due to the recapitalization?