CUMPRINC( ) function

Returns the cumulative principal paid on a loan during a range of periods.

Syntax

CUMPRINC(rate, periods, amount, start_period, end_period <,type>)

Parameters

Name Type Description
rate numeric

The interest rate per period.

periods numeric

The total number of payment periods.

amount numeric

The principal amount of the loan.

start_period

numeric

The first period in the calculation.

start_period cannot be 0.

end_period numeric

The last period in the calculation.

end_period cannot be greater than the total number of payment periods.

type

optional

numeric

The timing of payments:

  • 0 – payment at the end of a period
  • 1 – payment at the beginning of a period

If omitted, the default value of 0 is used.

Note

You must use consistent time periods when specifying rate and periods to ensure that you are specifying interest rate per period.

For example:

  • for monthly payments on a two-year loan or investment with interest of 5% per annum, specify 0.05/12 for rate and 2 * 12 for periods
  • for annual payments on the same loan or investment, specify 0.05 for rate and 2 for periods

Output

Numeric.

Examples

Basic examples

Returns 4844.61, the total amount of principal paid in the second year of a twenty-five year, $275,000 loan at 6.5% per annum, with payments due at the end of the month:

CUMPRINC(0.065/12, 12*25, 275000, 13, 24, 0)

Returns 367.24, the amount of principal paid on the same loan in the first month of the loan:

CUMPRINC(0.065/12, 12*25, 275000, 1, 1, 0)

Remarks

Related functions

The CUMIPMT( ) function is the complement of the CUMPRINC( ) function.

The PPMT( ) function calculates principal paid for a single period.