a$.$ Find the duration of a $5\mathrm{.}4\%$ coupon bond making annual coupon payments if it has three years until maturity and has a yield to

maturity of $5\mathrm{.}4\%.$ Note: The face value of the bond is $$1,000.($Do not round Intermedlate caleulatlons. Round your answer to $3$

decimal places.$)$

$5\mathrm{.}4\%YTM$

years

b$.$ What is the duration if the yield to maturity is $9\%?$ Note: The face value of the bond is $$1,000.($Do not round Intermedlate

calculetions. Round your answer to $3$ declmal ploces.$)$

$9\%YTM$