Suppose you purchase a $10-$year bond with $6\mathrm{.}19\%$ annual coupons. You hold the bond for $4$years$,$ and sell it immediately after receiving the fourth coupon. If the$$ bond's yield to maturity was $4\mathrm{.}51\%$ when you purchased and sold the$$ 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?