You have received a job offer upon graduation from a prestigious consulting firm. Before you receive your first paycheck, you have decided to purchase a $100,000 Porsche. The Eighth National Bank of Okemos is willing to give you a 5-year loan, but they require a 10% down payment, and the interest rate will be 10% annually. How much will your monthly payments be

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amcool amcool · Answer 1 · 2020-12-25T01:42:06+01:00

Answer:

The monthly payments will be $1,912.23.

Explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV at 65 = Present value of the balance of the Porsche = $100,000 * (100% - Percentage of down payment) = $100,000 * (100% - 10%) = $90,000

P = monthly payments = ?

r = Monthly interest rate = Annual interest rate / 12 = 10% / 12 = 0.10 / 12 = 0.00833333333333333

n = number of months = 5 years * 12 months = 60

Substitute the values into equation (1) and solve for P, we have:

$90,000 = P * ((1 - (1 / (1 + 0.00833333333333333))^60) / 0.00833333333333333)

$90,000 = P * 47.0653690237519

P = $90,000 / 47.0653690237519

P = $1,912.23

Therefore, the monthly payments will be $1,912.23.