$7.$ You bought a corporate bond four years ago which at the time of purchase had a $16$ year maturity, a $12\%$ annual coupon and a $12\%$ promised yield to maturity. Immediately after purchase, all interest rates fell to $10\%$ and stayed there. You held the bond for $4$ years and then sold it for $$1136\mathrm{.}27.$ What was the actual compound annual rate of return on the bond $($to the nearest basis point$)?$ To keep it simple assume a flat yield curve and ignore any liquidity premiums, use annual compounding$).$

a$)10\mathrm{.}00\%$

b$)13\mathrm{.}07\%$

c$)13\mathrm{.}99\%$

d$)14\mathrm{.}07\%$

e$)14\mathrm{.}74\%$