amortization math



I have studied a lot of math, so I am familiar with a lot of different
types of equations, but I still can't figure out where the
amortization tables get their values. I have used logarithm and
exponential equations, but I can't figure out the tables. When I look
at (1) the initial principal I borrowed, (2) the number of payments I
make each year, (3) the amount of each payment, (4) the total number
of payments I am required to make, it seems that I should be able to
calculate (5) the APR. But my attempts at calculating the APR never
seem to match the APR that the lender has quoted me. He is just using
a computer program, and doesn't understand the math himself. I don't
want to accuse him of anything until I am sure I am doing this right.
Can anyone help me find an equation that l can use to calculate the
APR from: the principal, payment amount, number of payments per year,
and total number of payments? Is it possible to use an equation
rather than a table?
If you CAN help, please EMAIL ME!
I appreciate any help. Thanks.

.



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