Example $6\mathrm{.}7\mathrm{.}3$

A $$10,000$ bond, redeemable at $102\mathrm{.}5$ in $10$ years interest at $j_2=9\%.$ Mr$.$ A buys the bond to yield $j_2=8\mathrm{.}5\%.$ Mr$.$ A then strips the coupons from the bond and setts the Temaining "strip" bond to Mr$.$ B$,$ who wishes to yield $j_4=9\%.$ Determine

$($a$)$ The price Mr$.$ B pays for the strip bond

$($b$)$ The yield rate, $j_2,$ realized by Mr$.$ A

$($c$)$ Suppose Mr$.$ A sell the coupons as well to Miss $C,$ who wishes to yield $j_2=7\mathrm{.}5\%.$ What dollar profit does Mr$.$ A earn $($ifany$)$ upon selling both the strip bond and The coupons?