a$.$ What is the percentage change in the price of each bond if its yield to maturity falls from $5\%$ to $4\%?$

b$.$ Which of the bonds A through D is the most sensitive to a$1\%$ drop in interest rates from $5\%$ to $4\%$ and$$ why? Which bond is the least$$ sensitive$?$ Provide an intuitive explanation for your answer.

Note$$: Assume annual compounding and $$$$1,000$ of the$$ bond's face value.

a$.$ What is the percentage change in the price of each bond if its yield to maturity falls from $6\%$ to $5\%?$

The percentage change in the price of bond A is $\_\_\_\%.($Round to two decimal$$ places.$)$

Part $2$

The percentage change in the price of bond B is $\_\_\_\%.($Round to two decimal$$ places.$)$

Part $3$

The percentage change in the price of bond C is $\_\_\_\%.($Round to two decimal$$ places.$)$

Part $4$

The percentage change in the price of bond D is $\_\_\_\%.($Round to two decimal$$ places.$)$