A $$1,000$ par value bond that makes annual interest payments of $$50$ and matures in four years sells for $$980.$ What is the yield to maturity of the bond?

Group of answer choices

$4\mathrm{.}54\%$

$2\mathrm{.}47\%$

$5\mathrm{.}57\%$

$7\mathrm{.}57\%$

$2\mathrm{.}04\%$