Remaining Loan Balance Calculator

✖Loan Principal represents the initial amount of money borrowed or invested. It's the original amount of the loan before any interest or other charges are added.ⓘ Loan Principal [PV_L]			+10% -10%
✖Rate per Payment refers to the periodic interest rate used in loan amortization calculations, specifically in the context of calculating loan payments.ⓘ Rate per Payment [r_p]			+10% -10%
✖Number of Payments Per Year is the count on the payments made for the interest on bond in a particular year.ⓘ Number of Payments Per Year [n_PYr]			+10% -10%
✖Total Payments refers to the overall expenses and payments made by a company or a firm.ⓘ Total Payments [TP]			+10% -10%

✖Future Value of Loan Amount refers to the total amount that remains to be paid back to the lender at some point in the future, considering all future payments and any accruing interest.ⓘ Remaining Loan Balance [FV_L]

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Formula

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Remaining Loan Balance

Formula

`"FV"_{"L"} = "PV"_{"L"}*(1+"r"_{"p"})^"n"_{"PYr"}-"TP"*(((1+"r"_{"p"})^"n"_{"PYr"}-1)/"r"_{"p"})`

Example

`"806400"="10000"*(1+"2")^"4"-"90"*(((1+"2")^"4"-1)/"2")`

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Remaining Loan Balance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Future Value of Loan Amount = Loan Principal*(1+Rate per Payment)^Number of Payments Per Year-Total Payments*(((1+Rate per Payment)^Number of Payments Per Year-1)/Rate per Payment)
FV_L = PV_L*(1+r_p)^n_PYr-TP*(((1+r_p)^n_PYr-1)/r_p)
This formula uses 5 Variables

Variables Used

Future Value of Loan Amount - Future Value of Loan Amount refers to the total amount that remains to be paid back to the lender at some point in the future, considering all future payments and any accruing interest.
Loan Principal - Loan Principal represents the initial amount of money borrowed or invested. It's the original amount of the loan before any interest or other charges are added.
Rate per Payment - Rate per Payment refers to the periodic interest rate used in loan amortization calculations, specifically in the context of calculating loan payments.
Number of Payments Per Year - Number of Payments Per Year is the count on the payments made for the interest on bond in a particular year.
Total Payments - Total Payments refers to the overall expenses and payments made by a company or a firm.

STEP 1: Convert Input(s) to Base Unit

Loan Principal: 10000 --> No Conversion Required
Rate per Payment: 2 --> No Conversion Required
Number of Payments Per Year: 4 --> No Conversion Required
Total Payments: 90 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FV_L = PV_L*(1+r_p)^n_PYr-TP*(((1+r_p)^n_PYr-1)/r_p) --> 10000*(1+2)^4-90*(((1+2)^4-1)/2)

Evaluating ... ...

FV_L = 806400

STEP 3: Convert Result to Output's Unit

806400 --> No Conversion Required

FINAL ANSWER

806400 <-- Future Value of Loan Amount

(Calculation completed in 00.004 seconds)

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Created by Vishnu K

BMS College of Engineering (BMSCE), Bangalore

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Satyawati College (DU), New Delhi

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< 4 Loan Calculators

Remaining Loan Balance

Go Future Value of Loan Amount = Loan Principal*(1+Rate per Payment)^Number of Payments Per Year-Total Payments*(((1+Rate per Payment)^Number of Payments Per Year-1)/Rate per Payment)

EMI of Car Loan

Go Monthly Payment of Car Loan = Principal Car Loan Amount*(Interest Rate/(12*100))*(1+(Interest Rate/(12*100)))^Months/((1+(Interest Rate/(12*100)))^Months-1)

EMI

Go Equated Monthly Installment = Loan Amount*Interest Rate*((1+Interest Rate)^Compounding Periods/((1+Interest Rate)^Compounding Periods-1))

Loan Amount

Go Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods))

Remaining Loan Balance Formula

What is Remaning Balance of Loan?

The "Remaining Balance of Loan" refers to the outstanding amount of principal that still needs to be repaid on a loan at any given point in time. It represents the portion of the original loan amount that has not yet been paid back to the lender.
As borrowers make periodic payments towards their loan, a portion of each payment goes towards reducing the principal balance, while the remainder covers interest charges and possibly other fees. The remaining balance of the loan decreases over time as payments are made.
Understanding the remaining balance of a loan is crucial for both borrowers and lenders. For borrowers, it helps them track their progress in repaying the loan and plan their finances accordingly. For lenders, it represents the amount of money still owed to them by the borrower and helps assess the borrower's creditworthiness and the risk associated with the loan.
Calculating the remaining balance of a loan involves subtracting the cumulative payments made from the original loan amount.

How to Calculate Remaining Loan Balance?

Remaining Loan Balance calculator uses Future Value of Loan Amount = Loan Principal*(1+Rate per Payment)^Number of Payments Per Year-Total Payments*(((1+Rate per Payment)^Number of Payments Per Year-1)/Rate per Payment) to calculate the Future Value of Loan Amount, The Remaining Loan Balance formula is defined as the outstanding amount of principal that a borrower still owes on a loan at any given point in time. Future Value of Loan Amount is denoted by FV_L symbol.

How to calculate Remaining Loan Balance using this online calculator? To use this online calculator for Remaining Loan Balance, enter Loan Principal (PV_L), Rate per Payment (r_p), Number of Payments Per Year (n_PYr) & Total Payments (TP) and hit the calculate button. Here is how the Remaining Loan Balance calculation can be explained with given input values -> 334878.8 = 10000*(1+2)^4-90*(((1+2)^4-1)/2).

FAQ

What is Remaining Loan Balance?

The Remaining Loan Balance formula is defined as the outstanding amount of principal that a borrower still owes on a loan at any given point in time and is represented as FV_L = PV_L*(1+r_p)^n_PYr-TP*(((1+r_p)^n_PYr-1)/r_p) or Future Value of Loan Amount = Loan Principal*(1+Rate per Payment)^Number of Payments Per Year-Total Payments*(((1+Rate per Payment)^Number of Payments Per Year-1)/Rate per Payment). Loan Principal represents the initial amount of money borrowed or invested. It's the original amount of the loan before any interest or other charges are added, Rate per Payment refers to the periodic interest rate used in loan amortization calculations, specifically in the context of calculating loan payments, Number of Payments Per Year is the count on the payments made for the interest on bond in a particular year & Total Payments refers to the overall expenses and payments made by a company or a firm.

How to calculate Remaining Loan Balance?

The Remaining Loan Balance formula is defined as the outstanding amount of principal that a borrower still owes on a loan at any given point in time is calculated using Future Value of Loan Amount = Loan Principal*(1+Rate per Payment)^Number of Payments Per Year-Total Payments*(((1+Rate per Payment)^Number of Payments Per Year-1)/Rate per Payment). To calculate Remaining Loan Balance, you need Loan Principal (PV_L), Rate per Payment (r_p), Number of Payments Per Year (n_PYr) & Total Payments (TP). With our tool, you need to enter the respective value for Loan Principal, Rate per Payment, Number of Payments Per Year & Total Payments and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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