Loan Amount Calculator

✖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.ⓘ Annuity Payment [PMT]			+10% -10%
✖Interest Rate is the amount charged, expressed as a percentage of the principal, by a lender to a borrower for the use of assets.ⓘ Interest Rate [R]			+10% -10%
✖Compounding Periods is the number of times compounding will occur during a period.ⓘ Compounding Periods [CP]			+10% -10%

✖The Loan Amount is the original principal on a new loan or principal remaining on an existing loan.ⓘ Loan Amount [LA]

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Formula

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Loan Amount

Formula

`"LA" = ("PMT"/"R")*(1-(1/(1+"R")^"CP"))`

Example

`"19704.62"=("4700"/".2")*(1-(1/(1+".2")^"10"))`

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Loan Amount Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods))
LA = (PMT/R)*(1-(1/(1+R)^CP))
This formula uses 4 Variables

Variables Used

Loan Amount - The Loan Amount is the original principal on a new loan or principal remaining on an existing loan.
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.
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.
Compounding Periods - Compounding Periods is the number of times compounding will occur during a period.

STEP 1: Convert Input(s) to Base Unit

Annuity Payment: 4700 --> No Conversion Required
Interest Rate: 0.2 --> No Conversion Required
Compounding Periods: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LA = (PMT/R)*(1-(1/(1+R)^CP)) --> (4700/0.2)*(1-(1/(1+0.2)^10))

Evaluating ... ...

LA = 19704.6188020886

STEP 3: Convert Result to Output's Unit

19704.6188020886 --> No Conversion Required

FINAL ANSWER

19704.6188020886 ≈ 19704.62 <-- Loan Amount

(Calculation completed in 00.004 seconds)

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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))

Loan Amount Formula

Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods))
LA = (PMT/R)*(1-(1/(1+R)^CP))

How to Calculate Loan Amount?

Loan Amount calculator uses Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)) to calculate 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 calculate Loan Amount using this online calculator? To use this online calculator for Loan Amount, enter Annuity Payment (PMT), Interest Rate (R) & Compounding Periods (CP) and hit the calculate button. Here is how the Loan Amount calculation can be explained with given input values -> 5030.967 = (4700/0.2)*(1-(1/(1+0.2)^10)).

FAQ

What is 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 and is represented as LA = (PMT/R)*(1-(1/(1+R)^CP)) or Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)). 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, Interest Rate is the amount charged, expressed as a percentage of the principal, by a lender to a borrower for the use of assets & Compounding Periods is the number of times compounding will occur during a period.

How to calculate 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 is calculated using Loan Amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)). To calculate Loan Amount, you need Annuity Payment (PMT), Interest Rate (R) & Compounding Periods (CP). With our tool, you need to enter the respective value for Annuity Payment, Interest Rate & Compounding Periods 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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