Please show work for this practice problem..

5. Your firm's current capital structure is made up of debt and common equity. It has 450,000 shares of stock outstanding with a price of $44.00 per share and a beta of 1.4. The YTM for the bonds is 6% and the total debt value is $19,000,000. Your goal is to change the capital structure to 100% equity. You are to issue more stock at the current market price and use that cash to repurchase all of the firm's debt. The tax rate is 18%. The risk-free rate is 3% and the market risk premium is 10%. Find the cost of equity following the purchase