SOLUTION: Please solve as I am not having any luck with this problem. Find the payment necessary to amortize the loan. $2,300; 10% compounded quarterly, 8 quarterly payments. Thank you ve

Algebra ->  Finance -> SOLUTION: Please solve as I am not having any luck with this problem. Find the payment necessary to amortize the loan. $2,300; 10% compounded quarterly, 8 quarterly payments. Thank you ve      Log On


   



Question 982896: Please solve as I am not having any luck with this problem. Find the payment necessary to amortize the loan. $2,300; 10% compounded quarterly, 8 quarterly payments. Thank you very much.
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We use the amortization payment formula P+=+%28L%2Ai%29%2F%281-%281%2Bi%29%5E%28-n%29%29 where...

P = payment per period
L = loan amount
r = annual interest rate (used to calculate the value of 'i' below)
i = interest rate per period
n = number of payments (number of periods)

In this particular case,
P = unknown (we're calculating this value)
L = 2300
r = 0.1 (convert 10% to decimal form)
i = r/4 = 0.1/4 = 0.025
n = 8

P+=+%28L%2Ai%29%2F%281-%281%2Bi%29%5E%28-n%29%29

P+=+%282300%2A0.025%29%2F%281-%281%2B0.025%29%5E%28-8%29%29 Plug in the values shown above

P+=+320.774895413826 Use a calculator to compute

P+=+320.77 Round to the nearest penny


The quarterly payment is $320.77

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




where is the payment per compounding period, is the present value of the investment (the loan amount), is the interest rate per annum expressed as a decimal, is the number of compounding periods per year, and is the number of years.

For your problem:



You can do your own calculator work, or if you want the easy way out, open up an Excel (or Numbers if you are running a Mac) spreadsheet and enter:
         =-PMT(0.025,8,2300)
or
         =-PMT(0.025,8,2300,0,1) (if you make the payments at the beginning of the quarter)


John

My calculator said it, I believe it, that settles it