Question

A company borrows 100,000 today at 12% nominal annual interest. the monthly payment of a 5 year loan is most nearly:

Answer 1

Formula for the monthly payment:
M = P * r * ( 1 + r )^n / (( 1 + r )^n + 1 )
where: P = $100,000 r = 0.12 : 12 = 0.01 n =12 * 5 = 60
M = 100,000 * 0.01 * ( 1 + 0.01 )^60 / (( 1 + 0.01 )^60 + 1 ) =
= 1,000 * ( 1.01 )^60 / (( 1.01 )^60 + 1 ) =
= 1,000 * 1.8167 / 0.8167 = 1,000 * 2.22444 =
= $2,224.44
The monthly payment is $2,224.44.