# CumPrinc

## CumPrinc(rate, nper, pv, start_per, end_per, *type*)

The cumulative principal received on an annuity (with periodic payments and constant interest rate) between «start_per» and «end_per» inclusive. A negative number represents cumulative principal paid.

Parameters:

- «Rate»
- The interest rate per period.
- «NPer»
- The total number of periods in the annuity's lifetime.
- «Pv»
- The present value.
- If you receive a loan, this is the loan amount as a positive number.
- If you give someone a loan, this is a negative number.
- «Start_per»
- First period included in the sum.
- «End_per»
- Last period included in the sum.
- «Type»
- (Optional) Indicates whether payments are at the beginning of the period.
`True`

= Payments due at beginning of period, with first payment due immediately.`False`

= Payments due at end of period. (default)

Returns:

`Index n := start_per..end_per Do Sum(PPmt(rate, n, nper, pv, 0, type), I)`

## Library

Financial Functions

## Examples

Five years ago, you took out a 30-year fixed rate mortgage at a rate of 6.5% for an initial loan of $350K. How much equity have you paid for during the first five years?

`-CumPrinc(6.5%/12, 30*12, $350K,1, 5*12) → $22,361.58`

## See Also

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