A college student in her senior year is considering purchasi
A college student in her senior year is considering purchasing a new car. The price of the car is $18,500, the sales tax is 8%, and the title, license, and registration fee is $450. The dealer has an innovative financing program for new college graduates that starts with a small monthly payment and the payments will gradually increase. The dealer offered to finance 90% of the price of the car for 48 months at a nominal interest rate of 9% per year, compounded monthly. The first payment is $200 and each successive payment will increase by a constant dollar amount ‘x.’
A) How much is the constant amount “x”?
B) How much is the 48th payment?
* In Excel if possible
Solution
Total price= 18500+18500x 8/100+450
=20430
90/100 x 20430= 18387
I=prt= 18387x48/12x9/100= 26458 Rs.
Value of X= 26458 / 200= 132 $(approx.)
48th payment = 132x48x9/100= 136$
By,
Nishant Bhatt
