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Learn how to find the outstanding balance after a given payment and spot negative amortization using clear, exam-style examples. We compare retrospective vs prospective methods, build the payment timeline, and show practical ways to handle increasing payment patterns and geometric decreases. Perfect for SOA Exam FM learners who want fast intuition for balances, principal vs interest, and TVM button workflows. AnalystPrep Actuarial Exams Study Packages (video lessons, study notes, question bank, and quizzes) can be found at https://analystprep.com/shop/actuaria... SOA Exam FM (Financial Mathematics) Module 3, Section 2, Part 2, Example 2 Examples given in the video: 1) A loan of 500,000 at an annual effective interest rate of 6% is repaid with annual payments. The first payment is 20,000 and subsequent payments are 5000 more than their preceding payments. Determine the outstanding balance immediately after the 10th payment. 2) A 10-year loan at a quarterly effective interest rate of 2% is repaid with quarterly payments. The first payment is 1000 and subsequent payments are 2% less than their preceding payments. Determine the outstanding balance immediately after the 25th payment. After completing this video you should be able to: Calculate the outstanding balance at any point in time. Define and recognize the definitions of the following terms: principal, interest, term of loan, outstanding balance, final payment (drop payment), amortization. #SOAExamFM #ActuarialScience #FinancialMath #Amortization #TimeValueOfMoney #LoanMath #ExamFMPrep #AnalystPrep #StudyTips #QuantFinance