Both Bond Sam and Bond Dave have $9\mathrm{.}4$ percent coupons, make semiannual peyments, and are priced at par value. Bond Sam has $5$ years to maturity, whereas Bond Dave has $22$ years to maturity. Both bonds heve is par vabue of $4000.$

a$.$ If inberest rabes suddenly rise by $2$ percent, what is the percentage change in the price of these bonds?

Note: A negative answer shovid be indicated by a minus sign. De not round intermediate calculations and anter your avsoers as a percent rounded to $2$ decimal places, e$.$g$.32\mathrm{.}15.$

b$.$ If rates were to suddenty fall by $2$ percent inshead, what would be the percentape change in the pice of these bonact?

Noter Do not round intermediatp catculations and eeller your answer as a percent rounded le $2$ decimal places, a is$.$ i$2$ sc

$\backslash$table$[[,$Bond Sem,Bond Bave$],[2.$ Percertage change in price,$5,5],[$b$.$ Percertape chavge in price,$5,5]]$