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Remaining Loan Balance Formula

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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. Check FAQs

FV L = PV L \cdot {(1 + r p)}^{n PYr} - TP \cdot (\frac{{(1 + r p)}^{n PYr} - 1}{r p})

FV_L - Future Value of Loan Amount?PV_L - Loan Principal?r_p - Rate per Payment?n_PYr - Number of Payments Per Year?TP - Total Payments?

Remaining Loan Balance Example

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Here is how the Remaining Loan Balance equation looks like with Values.

Here is how the Remaining Loan Balance equation looks like with Units.

Here is how the Remaining Loan Balance equation looks like.

806400 = 10000 \cdot {(1 + 2)}^{4} - 90 \cdot (\frac{{(1 + 2)}^{4} - 1}{2})

806400 = 10000 \cdot {(1 + 2)}^{4} - 90 \cdot (\frac{{(1 + 2)}^{4} - 1}{2})

806400 = 10000 \cdot {(1 + 2)}^{4} - 90 \cdot (\frac{{(1 + 2)}^{4} - 1}{2})

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Remaining Loan Balance Solution

Follow our step by step solution on how to calculate Remaining Loan Balance?

FIRST Step Consider the formula

FV L = PV L \cdot {(1 + r p)}^{n PYr} - TP \cdot (\frac{{(1 + r p)}^{n PYr} - 1}{r p})

Next Step Substitute values of Variables

∴

FV L = 10000 \cdot {(1 + 2)}^{4} - 90 \cdot (\frac{{(1 + 2)}^{4} - 1}{2})

Next Step Prepare to Evaluate

∴

FV L = 10000 \cdot {(1 + 2)}^{4} - 90 \cdot (\frac{{(1 + 2)}^{4} - 1}{2})

LAST Step Evaluate

∴

FV L = 806400

Remaining Loan Balance Formula Elements

Variables

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.

Symbol: FV_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Future Value of Loan Amount

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.

Symbol: PV_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Loan Principal

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.

Symbol: r_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rate per Payment

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.

Symbol: n_PYr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Payments Per Year

Total Payments

Total Payments refers to the overall expenses and payments made by a company or a firm.

Symbol: TP

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Payments

Other formulas in Loan category

Go EMI

EMI = LA \cdot R \cdot (\frac{{(1 + R)}^{CP}}{{(1 + R)}^{CP} - 1})

Go Loan Amount

LA = (\frac{PMT}{R}) \cdot (1 - (\frac{1}{{(1 + R)}^{CP}}))

Go EMI of Car Loan

MP loan = P CL \cdot (\frac{R}{12 \cdot 100}) \cdot \frac{{(1 + (\frac{R}{12 \cdot 100}))}^{n m}}{{(1 + (\frac{R}{12 \cdot 100}))}^{n m} - 1}

How to Evaluate Remaining Loan Balance?

Remaining Loan Balance evaluator 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 evaluate 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 evaluate Remaining Loan Balance using this online evaluator? To use this online evaluator 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.

FAQs on Remaining Loan Balance

What is the formula to find Remaining Loan Balance?

The formula of Remaining Loan Balance is expressed as 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). Here is an example- 334878.8 = 10000*(1+2)^4-90*(((1+2)^4-1)/2).

How to calculate Remaining Loan Balance?

With Loan Principal (PV_L), Rate per Payment (r_p), Number of Payments Per Year (n_PYr) & Total Payments (TP) we can find Remaining Loan Balance using the formula - 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).

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Remaining Loan Balance Formula

Remaining Loan Balance Example

Remaining Loan Balance Solution

Remaining Loan Balance Formula Elements

Other formulas in Loan category

How to Evaluate Remaining Loan Balance?

FAQs on Remaining Loan Balance

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