A government bond issued in France has a coupon rate of $9$ percent, a face value of $100$ euros, and matures in five years. The bond pays annual interest payments. Calculate the price of the bond $($in euros$)$ if the yield to maturity is $3\mathrm{.}6$ percent.

Multiple Choice

$100\mathrm{.}00$

$124\mathrm{.}31$

$123\mathrm{.}87$

$109\mathrm{.}00$