# Compound Interest Calculator

## Compound Interest Calculations Table

Year | Periods |
Starting Value | Multiplier | Interest Earned |
End Value |

Compound Interest has the ability to multiply money almost magically. Compound interest arises when interest is added to the principal, so that from that moment on, the interest that has been added also itself earns interest. This addition of interest to the principal is called compounding.

## Compound Interest

Interest on an investment's interest, plus previous interest. The more frequently this occurs, the sooner your accumulated interest will generate additional interest. You should check with your financial institution to find out how often interest is being compounded on your particular investment.

## Compound Interest Formula

**FV = PV*(1+Rn/m)m*t**

- FV = final value, final amount, future value
- PV = principal amount, present value (initial investment)
- Rn = annual nominal interest rate (as a decimal)
- m = number of times the interest is compounded per year
- t = number of years

## Demonstration of Various Compounding

The following table shows the final principal (FP), after t = 1 year, of an account initially with C = $10000, at 6% interest rate, with the given compounding (n). As is shown, the method of compounding has little effect.

**n** |
**FP** |

1 (yearly) |
$ 10600.00 |

2 (semiannually) |
$ 10609.00 |

4 (quarterly) |
$ 10613.64 |

12 (monthly) |
$ 10616.78 |

52 (weekly) |
$ 10618.00 |

365 (daily) |
$ 10618.31 |

continuous |
$ 10618.37 |

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