Following are the average yield-to-maturities for various A-rated corporate bonds issued by energy companies in the US. You want to estimate the yield-to-maturity on a 7 years-to-maturity bond. Given the yield-to-maturities below, compute the estimated yield-to-maturity for this 7 years-to-maturity bond using the linear-interpolation method (matrix pricing).

Average YTM of 5 years to maturity bonds 5% coupon (unknown) 10% coupon (9.01%) 15% coupon (9.03%)

Average YTM of 8 years to maturity bonds 5% coupon (9.47%) 10% coupon (unknown) 15% coupon (9.28%)