Advanced Home Loan Calculator

Daily reducing balance, exact dates, and prorated EMI calculations.

Disclaimer: This calculator is an advanced analytical tool designed for educational and informational purposes only. While its engine dynamically replicates complex Indian banking calculation standards (including 30/360 prorating, unrounded fractional carryover buckets, and true mathematical mid-cycle EMI recalculations), actual real-world loan schedules may differ slightly due to arbitrary bank-specific rounding policies, GST, valuation fees, or leap year nuances. Please consult your official lending institution for final sanctioned numbers.

Methodology & Advanced Banking Physics

Core Accrual Logic

  • • Monthly Interest Base: Uninterrupted standard EMIs accrue interest using the exact flat monthly rate (Rate / 12).
  • • Broken Period (Cycle 1): The very first partial-month interest before the first EMI is calculated on a strict daily basis using the Actual / 365 day-count convention.
  • • Mid-Cycle Transactions: Mid-month prepayments and subsequent disbursements are prorated exactly using the banking standard 30 / 360 day-count convention.

Precision & Drift Prevention

  • • Micro-Penny Carryover: To prevent floating-point drift over decades, unrounded fractional pennies are maintained in an internal floating bucket and naturally carry over month-to-month, ensuring mathematical accuracy down to the final paisa.
  • • EMI Rounding: Final EMI deductions are mathematically rounded to the nearest integer, identical to live bank schedules.

The True EMI Recalculation Equation

When an EMI is recalculated mid-schedule due to a disbursement or prepayment, using the standard amortization formula P*R*(1+R)^N / ((1+R)^N - 1) mathematically overcharges the borrower because it assumes a full 30 days of interest on the new principal. Since mid-cycle events accrue prorated interest, the bank solves a unified equation to find the exact EMI that clears the balance in the remaining tenure while accounting for the lower prorated cycle interest.

True EMI = (Balance + Prorated_Actual_Interest) × [ K / (1 + K) ]

Where K is the standard amortization factor for N - 1 remaining months.

Loan Details

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Yrs
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Disbursements

Part Payments & Extra Scenarios

Total Principal

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Total Interest

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Total Payable

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Interest Saved

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0 months reduced

Payment Breakdown

Remaining Balance Timeline

Ledger Schedule

Cycle Days EMI Date Opening Bal EMI Principal Interest Prepayment Closing Bal