Both Bond A and Bond B have 10 percent coupons, make semiannual payments, and are priced at par value. Bond A has 5 years to maturity, whereas Bond B has 10 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond A and Bond B? If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond A and Bond B?

Please shows all the formula and steps. Don't round off until you get to the end.