I$8-$I Given a $10$ percent, three$-$year bond with a price of $$1,052\mathrm{.}24,$ with a market yield of $8$ percent, calculate its duration using the format illustrated in Table $18-1.$

$18-2$ Using the duration from Problem $18-1,$ determine

a$.$ The modified duration

b$.$ The percentage change in the price of the bond if $r$ changes $0\mathrm{.}50$ percent.

$18-3$ Calculate the duration of a $12$ percent coupon bond with $10$ years remaining to maturity and selling at par. Use annual interest rates. Given the duration calculated, calculate the percentage change in bond price if the market discount rate for this bond declines by $0\mathrm{.}75$ percent.