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(1) Loan balance after n payments have been made derivation
(For a savings account or other investment, just change the first minus sign to a plus.)
(2) Payment amount on a loan derivation
(3) Number of payments on a loan derivation
(4) Original loan amount derivation
(The original loan amount is also called the present value of an annuity or present value of a stream of payments.)
(5) Payment amount to reach an investment goal derivation
(6) Number of payments to reach an investment goal derivation
(7) Interest rate derivation
where
But this problem is normally solved by iterative methods