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Loan Prepayment Savings

Interest saved and months cut by a lump-sum prepayment or a regular extra payment on your running loan.

Loans

Inputs

Results

Interest saved
₹940,940
New payoff period
95 months (7.9 years)
85 months earlier
Original total interest
₹1,598,015
Revised total interest
₹657,075
Unchanged EMI
₹24,988.97
Base EMI ₹19,988.97 + extra ₹5,000.00
Return on the prepayment
313.6%
Interest saved per unit prepaid

Formula

  • EMI is held constant at its original value
  • Balanceₘ = Balanceₘ₋₁ × (1 + r) − (EMI + extra)
  • Interestₘ = Balanceₘ₋₁ × r
  • Saving = Interest(base) − Interest(with prepayment)

Every rupee prepaid removes all future interest that the rupee would have attracted for the remaining tenure — which is why prepaying early is dramatically more valuable than prepaying late. The engine simulates the loan month by month twice: once on the original schedule and once with the lump sum applied immediately and the extra amount added to each instalment, then compares total interest and the month the balance reaches zero.

Step-by-step Calculation

  1. 1.Original EMIP·r·(1+r)ⁿ/((1+r)ⁿ−1)₹19,988.97
  2. 2.Original total interest19,989 × 180 − 2,000,000₹1,598,015
  3. 3.Balance after lump sum2,000,000 − 300,000₹1,700,000
  4. 4.Simulated payoffEMI + extra = 24,989/month95 months
  5. 5.Interest saved1,598,015 − 657,075₹940,940

How to use this calculator: Loan Prepayment Savings

Interest saved and months cut by a lump-sum prepayment or a regular extra payment on your running loan. The example below is calculated by this page's real engine from the displayed inputs.

  1. 1Confirm that the Loan Prepayment Savings matches the quantity or design check you need.
  2. 2Enter Outstanding principal, Interest rate, and Remaining tenure using the units printed beside each field.
  3. 3Select the applicable Currency options; these choices change the calculation method or factors.
  4. 4Calculate, then follow the substituted equations in the worked example and compare the result with any stated limit.
  5. 5Read the assumptions, warnings and cited references before using the result for a financial, medical or engineering decision.

Input guide and example values

Use values from the same measurement basis and time period. Conditional fields appear only when the related option is selected.

InputExample valueWhy it matters
Currency₹ Indian Rupee (INR)Select the option that matches the real installation or scenario.
Outstanding principal2000000Measured or known outstanding principal used by the calculation engine.
Interest rate8.75 % p.a.Measured or known interest rate used by the calculation engine.
Remaining tenure15 yearsMeasured or known remaining tenure used by the calculation engine.
One-time prepayment (now)300000Measured or known one-time prepayment (now) used by the calculation engine.
Extra amount added to every EMI5000Measured or known extra amount added to every emi used by the calculation engine.

Formula inputs & variables for Loan Prepayment Savings

These are the named quantities used by this calculator. When the source formula does not define a mathematical symbol, OneCalcApp keeps the real input label instead of inventing one.

Variable / inputUnitMeaning in this calculation
Currency—Select the option that matches the real installation or scenario.
Outstanding principal—Measured or known outstanding principal used by the calculation engine.
Interest rate% p.a.Measured or known interest rate used by the calculation engine.
Remaining tenureyearsMeasured or known remaining tenure used by the calculation engine.
One-time prepayment (now)—Measured or known one-time prepayment (now) used by the calculation engine.
Extra amount added to every EMI—Measured or known extra amount added to every emi used by the calculation engine.

How the Loan Prepayment Savings works

The Loan Prepayment Savings uses Currency, Outstanding principal, Interest rate, Remaining tenure, One-time prepayment (now), and Extra amount added to every EMI to calculate Interest saved, New payoff period, Original total interest, Revised total interest, Unchanged EMI, and Return on the prepayment. Its engine applies EMI is held constant at its original value; the worked values below come from that same live calculation rather than a separately typed example.

With Currency ₹ Indian Rupee (INR), Outstanding principal 2000000, Interest rate 8.75 % p.a., Remaining tenure 15 years, One-time prepayment (now) 300000, and Extra amount added to every EMI 5000, the main worked-example result is Interest saved = ₹940,940.

How each Loan Prepayment Savings input is used

Currency

The Loan Prepayment Savings worked example selects “₹ Indian Rupee (INR)”. Available choices include ₹ Indian Rupee (INR), $ US Dollar (USD), € Euro (EUR), £ Pound Sterling (GBP), and AED UAE Dirham. This selection may change the method or factor used by the engine, so choose the option that matches the real case.

Outstanding principal

The Loan Prepayment Savings worked example uses Outstanding principal = 2000000. This value is passed directly into the calculation, with an allowed minimum 1.

Interest rate

The Loan Prepayment Savings worked example uses Interest rate = 8.75 % p.a.. This value is passed directly into the calculation, with an allowed minimum 0.1 and maximum 30.

Remaining tenure

The Loan Prepayment Savings worked example uses Remaining tenure = 15 years. This value is passed directly into the calculation, with an allowed minimum 0.5 and maximum 35.

One-time prepayment (now)

The Loan Prepayment Savings worked example uses One-time prepayment (now) = 300000. This value is passed directly into the calculation, with an allowed minimum 0.

Extra amount added to every EMI

The Loan Prepayment Savings worked example uses Extra amount added to every EMI = 5000. This value is passed directly into the calculation, with an allowed minimum 0.

Loan Prepayment Savings formulas and result interpretation

Formula 1: relationship used

In the Loan Prepayment Savings, EMI is held constant at its original value. The quantities in this relationship come from the named inputs or from an earlier calculation step shown in the worked example.

Formula 2: relationship used

In the Loan Prepayment Savings, Balanceₘ = Balanceₘ₋₁ × (1 + r) − (EMI + extra). The quantities in this relationship come from the named inputs or from an earlier calculation step shown in the worked example.

Formula 3: relationship used

In the Loan Prepayment Savings, Interestₘ = Balanceₘ₋₁ × r. The quantities in this relationship come from the named inputs or from an earlier calculation step shown in the worked example.

Formula 4: relationship used

In the Loan Prepayment Savings, Saving = Interest(base) − Interest(with prepayment). The quantities in this relationship come from the named inputs or from an earlier calculation step shown in the worked example.

Interest saved

For the displayed Loan Prepayment Savings worked example, Interest saved is ₹940,940. Verify Currency, Outstanding principal, and Interest rate and their units before relying on this output.

New payoff period

For the displayed Loan Prepayment Savings worked example, New payoff period is 95 months (7.9 years). 85 months earlier Verify Currency, Outstanding principal, and Interest rate and their units before relying on this output.

Original total interest

For the displayed Loan Prepayment Savings worked example, Original total interest is ₹1,598,015. Verify Currency, Outstanding principal, and Interest rate and their units before relying on this output.

Revised total interest

For the displayed Loan Prepayment Savings worked example, Revised total interest is ₹657,075. Verify Currency, Outstanding principal, and Interest rate and their units before relying on this output.

Unchanged EMI

For the displayed Loan Prepayment Savings worked example, Unchanged EMI is ₹24,988.97. Base EMI ₹19,988.97 + extra ₹5,000.00 Verify Currency, Outstanding principal, and Interest rate and their units before relying on this output.

Return on the prepayment

For the displayed Loan Prepayment Savings worked example, Return on the prepayment is 313.6%. Interest saved per unit prepaid Verify Currency, Outstanding principal, and Interest rate and their units before relying on this output.

Loan Prepayment Savings accuracy, checks and limitations

  • Loan Prepayment Savings units check: confirm Currency, Outstanding principal, Interest rate (% p.a.), Remaining tenure (years), One-time prepayment (now), and Extra amount added to every EMI before calculating.
  • Loan Prepayment Savings result check: compare Interest saved, New payoff period, Original total interest, Revised total interest, Unchanged EMI, and Return on the prepayment with the substituted formula steps and the displayed rounding precision.
  • Loan Prepayment Savings: Treat the result as a mathematical estimate and separately verify input units, rounding rules and any conventions required for your use case.

Understanding the result

Read the main result together with supporting checks, assumptions, limits and intermediate values.

For a manual check, repeat the first equation, confirm the units and change one input at a time.

Common mistakes when using Loan Prepayment Savings

  • Do not mix units for Interest rate (% p.a.), Remaining tenure (years). A unit mismatch changes the input magnitude even when the typed number looks reasonable.
  • Do not leave Currency on the default choice unless that choice matches the real scenario; the selected option can change the calculation path or factor.
  • Do not replace the displayed EMI is held constant at its original value relationship with a different convention without also changing the underlying assumptions; compare like-for-like methods when checking the result.
  • Do not treat Interest saved = ₹940,940 from the worked example as a universal answer. It belongs to the displayed example inputs and must be recalculated for the actual case.

When the Loan Prepayment Savings is useful

Loan Prepayment Savings is designed for cases where Currency, Outstanding principal, Interest rate, Remaining tenure are known and you need Interest saved, New payoff period, Original total interest. The page keeps the live calculator, calculation method and worked example together so the result can be checked instead of treated as a black-box number.

Use the calculator for the scope described by its inputs and notes. The displayed method is EMI is held constant at its original value. If the real project or decision needs factors that are not represented here, treat the result as an estimate and add the missing checks separately.

Currency and Outstanding principal: what changes the answer

The worked example uses Currency = ₹ Indian Rupee (INR), Outstanding principal = 2000000, Interest rate = 8.75 % p.a., Remaining tenure = 15 years. With those values, Interest saved is ₹940,940. Changing an input should be interpreted according to that field's unit, range, option and hint rather than by the number alone.

For this calculator, the main input roles are: Currency: Select the option that matches the real installation or scenario. Available choices include ₹ Indian Rupee (INR), $ US Dollar (USD), € Euro (EUR), £ Pound Sterling (GBP). Outstanding principal: Measured or known outstanding principal used by the calculation engine. Interest rate (% p.a.): Measured or known interest rate used by the calculation engine. Remaining tenure (years): Measured or known remaining tenure used by the calculation engine.

How to sanity-check a Loan Prepayment Savings result

Start by confirming the entered values and units, then compare the substituted working with the displayed formula or calculation steps. Pay particular attention to Interest saved, because it is the first worked-example output shown by the live engine.

Finally, compare the result with the assumptions, warnings and related calculators on this page. A nearby calculator can be useful as a cross-check when it measures the same workflow from a different input or output direction.

Next logical calculator

Continue with EMI Calculator

Useful next check because both tools use Currency, while EMI Calculator answers a different part of the same workflow.

Open EMI Calculator

Assumptions

  • • The lender keeps the EMI unchanged and shortens the tenure (the default for most home loans).
  • • No prepayment penalty; floating-rate individual home loans carry none in India.
  • • The prepayment is applied to principal on the same day it is made.

Money Tips

  • ◆Prepay in the first third of the tenure — that is where the interest is concentrated.
  • ◆If your post-tax investment return beats the loan rate, investing may beat prepaying; compare both.
  • ◆Ask for a revised amortisation statement after every prepayment.

Warnings

  • ▲Do not exhaust your emergency fund to prepay a low-rate secured loan.
  • ▲Fixed-rate loans and business loans often carry 2–4% foreclosure charges.

References & Standards

RBI: no foreclosure charges on floating-rate individual loansReducing-balance amortisation

Results are planning estimates generated in your browser. Nothing you enter is uploaded or stored. Verify material decisions with your lender, adviser or chartered accountant.

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