Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7. It has debt with a coupon of 8% face value of $1,000 and yield-to-maturity of 12%. It has chosen firm P as a proxy company for a new project it is considering in a totally different line of business from its present one. Firm P has a beta of 1.6, a debt-to-equity ratio of 0.4 and a bond with a yield to maturity of 10%, a coupon of 12%, and face value of $1,000. Both firms are in the 40% marginal tax bracket. The expected return on the S&P 500 is 13% and the rate on 90-day Treasury bills is 3%.

Find the required return on the new project that firms X is considering. Show all formulae, steps and calculations neatly and in the proper sequence.