A house is to be purchased for \($180\),000 with a 10 percent down payment, thereby financing \($162\),000 with a home loan and mortgage. There are no points or other closing charges associated with the loan. A conventional 30-year loan is used at 7.5 percent, resulting in monthly payments of \($1\),132.73. The interest portion of the first monthly payment will be what?

a. \($1\),012.50

b. \($682.73\)

c. \($120.23\)

d. Answer cannot be determined without more information