Trudell Corporation raised $$15$ million from an issue of ainkinsinking bond funds with a $20$ year maturity and a coupon rate of $6$ percent compounded semi annually. The bond indenture contract requires Trudell to make equal payments at the end of every $6$ months into a sinking fund administered by a trust company. If sinoing fund earns $4\mathrm{.}2$ percent compounded semi annually what kusmust be the size of sinking fund payments in order to accumulate the full $$15$ million to redeem bons upon maturity