1. find the amount of each payment necessary to amortize the following loan. a company borrows $84,700 for new equipment. the company agrees to make quarterly payments for 9 years at 10% per year. find the amount of the quarterly payment.

The answer is $3,595.65.

We need to compute for the present value of the ordinary annuity. Use this formula Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]

Given:
Pv - 84,700
r - 10%
k - 4 since it's quarterly
n - 9 years 

Required: pmt or the quarterly periodic payment; to find this transpose the formula to leave pmt variable on one side, substitute the values to the variables, then simplify

Solution:
pmt = Pv ÷ [(1 - (1+r/k)^(-kn)) ÷ (r/k)]
pmt = 84,700 ÷ [(1 - (1+0.10/4)^(-4*9)) ÷ (0.10/4)]
pmt = 3,595.65