Compound Interest Calculators

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Maths Compound Interest

Calculate compound interest for a fixed principal value, and for an initial principal value with additional contributions.

For additional contributions, the first contribution is assumed to be made with the initial principal, with an additional payment at the beginning of each period. The final contribution is assumed to be made at the beginning of the final period.

Compound interest is also used to calculate annuity rates, mortgage payments, net present value (NPV), and internal rate of return (IRR).

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CALCULATOR : Compound Interest [FREE] ±

Calculate compound interest for a fixed principal value.

Calculate either the final capital, the initial capital, the compound interest rate or the number of years.

Tool Input

intype : Compound Interest Type
- Piu : User Defined Initial Value
- Pfu : User Defined Final Value
- Iu : User Defined Compound Interest Rate
- Yu : User Defined Number Of Years
c : Number Of Periods Per Year

Tool Output

Σi : Total Interest Earned
I : Compound Interest Rate (Per Year)
Pf : Final Value
Pi : Initial Value
Y : Number Of Years
n : Total Number Of Periods (y * c)

CALCULATOR : Compound Interest With Contributions [FREE] ±

Calculate compound interest for an initial principal value with contributions each period.

The principal is assumed to compound each period. The total number of periods equals the number of years times the number of periods per year. For monthly compounding interest the number of periods per year equals 12. For annual compounding interest the number of periods per year equals 1. The total number of contributions equals the number of periods. The first contribution is assumed to be made with the initial principal, with an additional payment at the beginning of each period. The final contribution is made at the beginning of the final period.

The calculation can be used to calculate either the final principal, the initial principal, the compound interest rate, the number of years, or the contribution.

Tool Input

intype : Compound Interest Type
- Piu : User Defined Initial Value
- Pfu : User Defined Final Value
- Iu : User Defined Compound Interest Rate
- Yu : User Defined Number Of Years
- Cu : User Defined Contribution Per Period
c : Number Of Periods Per Year

Tool Output

Σc : Total Contributions
Σi : Total Interest Earned
C : Contribution Per Period
I : Compound Interest Rate (Per Year)
Pf : Final Value
Pi : Initial Value
Y : Number Of Years
cvg : Convergence Check (== 1)
n : Total Number Of Periods (y * c)