Future Value of an Annuity

The future value of an annuity due formula is used to calculate the future value of a series of periodic payments. The payments are for the same amount, made at the start of each period, and a discount rate i% is applied.

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Growing Annuity Payment Formula FV

This growing annuity payment formula FV calculates the initial annuity payment required to provide a given future value FV using a growing annuity. The growing annuity payment formula assumes payments are made at the end of each period for n periods and are growing or declining at a constant rate (g), and a discount rate i is applied.

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Loan Balance Formula

The loan balance annuity formula is used to find the balance outstanding on a loan by calculating the present value of the remaining loan installments. The payments are for the same amount, made at the end of each period, and a discount rate i% is applied.

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How to Calculate a Mortgage Payment

A mortgage is an interest in a property that is transferred from a borrower (the mortgagor) to a lender (mortgagee) to as security for a mortgage loan. If the lender does not repay the loan then the lender can under certain circumstances take the property.

As we have a series of periodic payments from the lender to the borrower and a periodic compounding interest rate, the mortgage payment can be regarded as an annuity.

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Growing Annuity Payment Formula PV

This growing annuity payment formula PV calculates the initial annuity payment required to provide a given value today PV (present value) using a growing annuity. The growing annuity payment formula assumes payments are made at the end of each period for n periods and are growing or declining at a constant rate (g), and a discount rate i is applied.

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Number of Periods Annuity Formula FV

This number of periods annuity formula FV calculates the number (n) of annuity payments required to provide a given future value (FV). The annuity formula assumes payments (Pmt) are made at the end of each period, and a discount rate i is applied.

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Number of Periods Annuity Formula PV

This number of periods annuity formula PV calculates the number (n) of annuity payments required to provide a given value today PV (present value). The annuity formula assumes payments (Pmt) are made at the end of each period, and a discount rate i is applied.

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Future Value of a Growing Annuity Formula

The future value of a growing annuity formula is used to calculate the value at the end of period n of a series of periodic payments which increase or decrease at a constant rate each period. The payments made at the end of each period, and a discount rate i% is applied.

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