Question

Your company has just taken out a 1-year installment loan for $82,500 at a nominal rate of 12.0% but with equal end-of-month payments. What percentage of the 2nd monthly payment will go toward the repayment of principal?

Answer 1

Answer:

89.63% of 2nd month payment will go towards the payment of principal.

Explanation:

Loan Payament per month = r ( PV ) / 1 - ( 1 + r )^-n

r = rate per period = 12% per year = 1% per month

n = number months = 12 months

PV =  present value of all payments = $82,500

P = payment per month = ?

P = 1% ( $82,500 ) / 1 - ( 1 + 1% )^-12

P = $7,330 per month

Month Payments Principal Interest Balance

1                 -7330              -6505     -825       75995

2                -7330              -6570      -760      69,425

Percentage of Principal Payment  = Principal payment / totla monthly payment = $6,570 / $7,330 = 0.8963 = 89.63%