A consumer purchases an automobile using a loan. The amount borrowed is €30,000 and the terms of the loan call for the loan to be repaid over five years using equal monthly payments with an annual nominal interest rate of 8% and monthly compounding. The monthly payment is closest to:
Solve time value of money problems when compounding periods are other than annual. Draw a time line and solve time value of money applications (for example, mortgages and savings for college tuition or retirement).
Place the following values into a financial calculator: N = 60, i/y = 8/12, PV = 30000, FV = 0, and compute PMT. Note, 5 years times 12 months per year equals 60 months. The nominal rate of 8% must be divided by 12 to find the monthly periodic rate of 0.6666667%. Alternatively, using the present value of an annuity formula, solve:
