Suppose that you are considering investing in a $4-$year bond that has a face value of $$1,000$ and a coupon rate of $5\mathrm{.}3\%.$

a$.)$ If the market interest rate on similar bonds is $5\mathrm{.}3\%,$ the price of the bond is $$1000.($Round your response to the nearest cent.$)$

The bond's current yield is $5\mathrm{.}3\%.($Round your response to two decimal places.$)$

b$.)$ Suppose that you purchase the bond, and the next day the market interest rate on similar bonds falls to $4\mathrm{.}3\%.$

The price of the bond will be $$,.($Round your response to the nearest cent.$)$