I would like to know how this problem is solved and the bonus question please

Which of the following bonds would have the smallest percentage change in value (PV) if all interest rates in the economy rose by 1%? a. 1-year, 10% coupon bond. .b. 10-year, zero coupon bond. C. 20-year, 5% coupon bond. d. 20-year, 10% coupon bond. e. 20-year, zero coupon bond. . Answer: A Bonus Question: given the same scenario, which bond would have the largest percentage increase