IBM purchased computer chips from NEC, a Japanese electronics concern, and was billed $251$ million payable in three months. Currently, the spot exchange rate is $112/$$ and the three$-$month forward rate is $105/$$$.$ The three$-$month money market interest rate is $11\mathrm{.}7$ percent per annum in the U$.$S$.$ and $8$ percent per annum in Japan. The management of IBM decided to use the money market hedge to deal with this yen account payable.

$($a$)$ Compute the dollar cost $($today$)$ of meeting the yen obligation