$(6$ pts$)$ An investor purchases a just issued $30-$ year, $10\mathrm{.}000\%$ semi$-$annual coupon bond at $107\mathrm{.}956$ percent of par value and sells it after $10$ years. The bond's yield to maturity is $9\mathrm{.}214\%,$ and assume it is constant through the bond's life. All coupons are reinvested to maturity at the yield to maturity. Show the sources of return below.

$($a$)$ Total coupon payments:

$($b$)$ Reinvestment income from coupons:

$($c$)$ Sale price of the bond after $10$ years:

$($d$)$ Total value after $10$ years:

$($e$)$ Realized rate of return $($horizon yield$)$ after $10$ years:

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