An investor with a $5-$year investment horizon considers purchasing a $10-$year $$1,000$ face value bond with a $7\mathrm{.}5\%$ coupon rate for $$1050\mathrm{.}20.$ The yield to maturity is $6\mathrm{.}8\%.$ The investor expects to be able to reinvest the coupon interest payments at an annual interest rate of $8\mathrm{.}4\%$ and at the end of the planned investment horizon the bond will be selling to offer a yield to maturity of $6\mathrm{.}2\%.$ Please calculate $(1)$ interest$-$on$-$interest, $(2)$ total dollar return, and $(3)$ total return. $(10$pt$)$