Suppose that you are considering investing in a $4-$year bond that has a face value of $$1,000$ and a coupon rate of $5\mathrm{.}3\%.$ d$)$ Now suppose that $2$ years have gone by since you bought the bond and that you have received the first two coupon payments. At this point, the market interest rate on similar bonds unexpectedly rises to $11\%$ an interest rate of $11\%,$ the price an investor is willing to pay for the bond is $($Round your response to the nearest cent $)$