Suppose that you are considering investing in a$4-$year bond that has a face value of $$$$1$ comma $000$ and a coupon rate of $5\mathrm{.}8\%.$

Part $2$

$$a$.)$ If the market interest rate on similar bonds is $5\mathrm{.}8\%,$ the price of the bond is $$$

$$

$1000.($Round your response to the nearest$$ cent.$)$

Part $3$

The$$ bond's current yield is

$$

$5\mathrm{.}8\%.($Round your response to two decimal$$ places.$)$

Part $4$

$$b$.)$ Suppose that you purchase the$$ bond, and the next day the market interest rate on similar bonds falls to $4\mathrm{.}8\%.$

The price of the bond will be $$$

$$

enter your response here. $($Round your response to the nearest$$ cent.$)$