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Loan Amount Formula

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The Loan Amount is the original principal on a new loan or principal remaining on an existing loan. Check FAQs

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

LA - Loan Amount?PMT - Annuity Payment?R - Interest Rate?CP - Compounding Periods?

Loan Amount Example

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Here is how the Loan Amount equation looks like with Values.

Here is how the Loan Amount equation looks like with Units.

Here is how the Loan Amount equation looks like.

19704.6188 = (\frac{4700}{0.2}) \cdot (1 - (\frac{1}{{(1 + 0.2)}^{10}}))

19704.6188 = (\frac{4700}{0.2}) \cdot (1 - (\frac{1}{{(1 + 0.2)}^{10}}))

19704.6188 = (\frac{4700}{0.2}) \cdot (1 - (\frac{1}{{(1 + 0.2)}^{10}}))

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Loan Amount Solution

Follow our step by step solution on how to calculate Loan Amount?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LA = (\frac{4700}{0.2}) \cdot (1 - (\frac{1}{{(1 + 0.2)}^{10}}))

Next Step Prepare to Evaluate

∴

LA = (\frac{4700}{0.2}) \cdot (1 - (\frac{1}{{(1 + 0.2)}^{10}}))

Next Step Evaluate

∴

LA = 19704.6188020886

LAST Step Rounding Answer

∴

LA = 19704.6188

Loan Amount Formula Elements

Variables

Loan Amount

The Loan Amount is the original principal on a new loan or principal remaining on an existing loan.

Symbol: LA

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Loan Amount

Annuity Payment

Annuity Payment is a series of payments at fixed intervals, guaranteed for a fixed number of years or the lifetime of one or more individuals.

Symbol: PMT

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Annuity Payment

Interest Rate

Interest Rate is the amount charged, expressed as a percentage of the principal, by a lender to a borrower for the use of assets.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Interest Rate

Compounding Periods

Compounding Periods is the number of times compounding will occur during a period.

Symbol: CP

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Compounding Periods

Other formulas in Loan category

Go EMI

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

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}

Go Remaining Loan Balance

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

How to Evaluate Loan Amount?

Loan Amount evaluator uses Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)) to evaluate the Loan Amount, The loan amount refers to the total sum of money that a lender agrees to provide to a borrower under the terms of a loan agreement. Loan Amount is denoted by LA symbol.

How to evaluate Loan Amount using this online evaluator? To use this online evaluator for Loan Amount, enter Annuity Payment (PMT), Interest Rate (R) & Compounding Periods (CP) and hit the calculate button.

FAQs on Loan Amount

What is the formula to find Loan Amount?

The formula of Loan Amount is expressed as Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)). Here is an example- 5030.967 = (4700/0.2)*(1-(1/(1+0.2)^10)).

How to calculate Loan Amount?

With Annuity Payment (PMT), Interest Rate (R) & Compounding Periods (CP) we can find Loan Amount using the formula - Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)).

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Loan Amount Formula

Loan Amount Example

Loan Amount Solution

Loan Amount Formula Elements

Other formulas in Loan category

How to Evaluate Loan Amount?

FAQs on Loan Amount

Variable Name