$2.($Worth $15$ points$)$ Use the following information to answer the question below.

Maturity $($years$)12345$

Zero$-$Coupon Yields $4\mathrm{.}75\%4\mathrm{.}5\%3\mathrm{.}85\%3\mathrm{.}25\%3\mathrm{.}10\%$

NOTE: These are the yields for cash flows to be received at the end of one year, two years, three years, etc.

Consider a five$-$year, default$-$free coupon$-$paying bond with an annual coupon rate of $5\%$ and a face value of $$1000.$ The coupons are paid once a year. Show the timeline. What is the yield to maturity on this bond? Round to two decimal places. Show your calculations.$($Worth $15$ points$)$ Use the following information to answer the question below.

NOTE: These are the yields for cash flows to be received at the end of one year, two years,

three years, etc.

Consider a five$-$year, default$-$free coupon$-$paying bond with an annual coupon rate

of $5\%$ and a face value of $$1000.$ The coupons are paid once a year. Show the

timeline. What is the yield to maturity on this bond? Round to two decimal places.

Show your calculations.