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Setrakian Industries needs to raise $$84\mathrm{.}5$ million to fund a new project. The company will sell bonds that have coupon rate $5\mathrm{.}86$ percent paid semiannually and that mature in $25$ years. The bonds will be sold at an initial YTM of $6\mathrm{.}58$ percent and have a par value of $$2,000.$ How many bonds must be sold to raise the necessary funds?

Multiple Choice

$42,250$ bonds

$151,419$ bonds

$46,313$ bonds

$57,892$ bonds

$84,500$ bonds