Liability Payment Calculator with Negative Amortization Detection
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Solution Overview
Problem
Computers face limitations in calculating payment schedules for financial liabilities, particularly those in negative amortization, due to numerical limits, and struggle to project future debt scenarios in real-time.
Innovation Solution
A computer-implemented method and system that receive financial liabilities, detect negative amortization using a predetermined threshold duration, compute and display a payment schedule with reordered priorities and suggested payments, and simulate future financial liabilities, allowing users to visualize and manage their debt effectively.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If computers calculate payment schedules for financial liabilities in negative amortization, then payment schedule computation is provided, but numerical limits of the computer prevent accurate calculation beyond certain duration
Solution Approach 1:
The patent segments the payment duration into two parts: a computable portion within numerical limits and an extended portion beyond numerical limits. The system calculates payments accurately up to the threshold duration using standard amortization formulas, then projects the remaining payments linearly based on the amortization rate observed during the computable period. This segmentation allows the system to handle both short-term precision and long-term projection without numerical overflow.
Solution Approach 2:
The system performs preliminary calculation of the amortization rate during the computable threshold period before projecting payments for the extended duration. By establishing the amortization pattern early in the computable period, the system creates a reliable basis for extrapolating future payments that would otherwise be impossible to calculate directly due to numerical limits.
2Productivity
If computers project future debt scenarios in real-time, then interactive financial planning is enabled, but computational complexity increases beyond practical limits
Solution Approach 1:
The patent changes the computational parameters by switching from full non-linear amortization calculations to linear projection based on observed amortization rates. Instead of computing complex compound interest formulas for extended durations, the system uses the amortization rate derived from the threshold period as a stable parameter for projecting future payments, dramatically reducing computational complexity while maintaining practical accuracy.
Solution Approach 2:
The system performs partial calculation for the computable threshold duration and uses that result to represent the entire extended period. Rather than attempting to calculate every payment individually beyond numerical limits, the system computes a representative sample during the threshold period and extrapolates, performing less computation than a full detailed projection would require.
3Ease of operation
If minimum payments are made on loans in negative amortization, then borrowers can maintain cash flow, but the principal balance increases over time
Solution Approach 1:
The patent implements feedback by continuously monitoring the amortization rate and using it to project future payment requirements. The system provides borrowers with feedback about how minimum payments affect their long-term debt trajectory, showing the divergence between minimum payment plans and optimal repayment strategies. This feedback loop helps borrowers understand the consequences of negative amortization and make informed decisions about whether to maintain minimum payments or increase payments to reduce principal.
Solution Approach 2:
The system dynamically adjusts the payment schedule based on the borrower's financial situation and the loan's amortization characteristics. Rather than providing a static minimum payment plan, the system generates dynamic projections showing how the principal balance evolves over time under different payment scenarios, enabling borrowers to see the dynamic relationship between payment amounts and principal reduction.
Data Source
AI summary
A computer-implemented method for financial liability payment calculation includes receiving, by a processor, a set of financial liabilities of a user. The method further includes detecting, by the processor, a first financial liability that is in negative amortization using a predetermined threshold duration. The method further includes computing, by the processor, a payment schedule for the set of financial liabilities using the predetermined threshold duration. Computing the payment schedule includes computing priorities for each of the financial liabilities, and reordering the financial liabilities according to the priorities. Computing the payment schedule further includes determining suggested payments for each of the financial liabilities using minimum payments specified for each of the financial liabilities. Computing the payment schedule further includes determining a repayment timeline for the set of financial liabilities using the suggested payments. The method further includes displaying, by the processor, the payment schedule via a user interface.