Bonds D and E both have a face value of $$1,000$ and pay a coupon rate of $7\%.$ They have $5$ and $20$ years, respectively, remaining until maturity. Calculate the yield to maturity of each bond if it is purchased for $$1,050.($Round your answers to two decimal places.$)$

YTM $($Bond D$)$

$\_\_\_\_\_\_\_\_\%$

YTM $($Bond E$)$

$\_\_\_\_\_\_\_\_\_\%$

Assume that:

Bond interest is paid semiannually.

The bond was originally issued at its face value.

Bonds are redeemed at their face value at maturity.

Market rates of return and yields to maturity are compounded semiannually.