Setrakian Industries needs to raise $$99\mathrm{.}4$ million to fund a new project. The company will sell bonds that have a coupon rate of $6\mathrm{.}02$ percent paid semiannually and that mature in $25$ years. The bonds will be sold at an initial YTM of $6\mathrm{.}82$ percent and have a par value of $$2,000.$ How many bonds must be sold to raise the necessary funds? $($Round your intermediate calculations to two decimal places and final answer to the nearest whole number.$)$

Multiple Choice

$54,939$ bonds

$181,154$ bonds

$49,700$ bonds

$99,400$ bonds

$68,674$ bonds