Suppose you purchase a $10-$year bond with $6\mathrm{.}4\%$ annual coupons. You hold the bond for four years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was $5\mathrm{.}1\%$ when you purchased and sold the bond,

a$.$ what cash flows will you pay and receive from your investment in the bond per $$100$ face value?

b$.$ what is the annual rate of return of your investment?