Both Bond A and Bond $B$ have $6\mathrm{.}2$ percent coupons and are priced at par value. Bond A has $6$ years to maturity, while Bond $B$ has $15$

years to maturity.

a$.$ If interest rates suddenly rise by $1$ percent, what is the percentage change in price of Bond A and Bond $B?$

Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a

percent rounded to $2$ decimal places.

Answer is complete but not entirely correct.

b$.$ If interest rates suddenly fall by $1$ percent instead, what would be the percentage change in price of Bond A and Bond B$?$

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.

Answer is complete but not entirely correct.