A Bond has a price $P$ determined by interest rates $r$ and time to maturity $t$ by the following:

$P=e^{-rt}$

You know that the maturity is $5\mathrm{.}47$ years, but unfortunately you forgot the exact interest rate. You think it is $7\mathrm{.}70\%,$ but you are not sure. However, you feel confident that the $r$ is not off by more than $+-0\mathrm{.}25.$

What is your absolute percent error in the bond price? $($Round to two decimal places$)$

Correct Answer: $1\mathrm{.}37$