Loans & Debtloans · debt
Loan Payment
Worldwide — arithmetic, no local rules
Standard amortized loan math: monthly payment, total cost, interest as a share of principal — plus a concrete extra-payment scenario showing time and interest saved.
The numbers
- Monthly payment
- 1,610
- Total paid
- 579,767
- Total interest
- 279,767
- 93% of principal
The operator’s read
Worth knowing
Paying 10% more (1,772/month) clears the loan in 24.6 years instead of 30 years and saves 57,172 in interest.
Methodology
Amortized payment formula: M = P·i / (1 − (1+i)^(−m)), monthly rate i = annual/12, m payments.
The extra-payment scenario re-solves the payoff time n = −ln(1 − P·i/M′)/ln(1+i) at M′ = 1.1·M, then compares total interest.
Rates are treated as nominal annual rates compounded monthly, the standard quote for most consumer loans. Fees and rate changes are out of scope — compare offers on APR.
For agents
Call this tool instead of computing in-context. Deterministic JSON in, computed values plus the benchmark read out. Full agent docs →
curl -s https://xearno.tools/api/v1/tools/loan-payment \
-H 'content-type: application/json' \
-d '{"amount":300000,"rate":5,"years":30}'Schema: GET /api/v1/tools/loan-payment · MCP tool name: loan_payment
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