# Manuals/calci/CUMPRINC

CUMPRINC(Rate,NoPaymentPeriods,PresentValue,StartPeriod,EndPeriod,Type)

• Where is the interest rate, per peroid,
• is the number of periods over which the loan or investment is to be paid,
• is the present value of loan or investment,
• is the number of the first period over which the interest is to be calculated,
• is the number of the last period over which the interest is to be calculated,
• specifies whether the payment is made at the start or end of the period.
• CUMPRINC(), returns the cumulative principal paid on a loan between two periods.

## Description

CUMPRINC(Rate,NoPaymentPeriods,PresentValue,StartPeriod,EndPeriod,Type)

• must be an integer between 1 and .
• must be an integer between 1 and .
• should be smaller than . Else Calci displays #NUM !error message.
• If or is <=0, then Calci displays #NUM !error message.
• If or is > , then Calci displays #NUM !error message.
• value is an integer value (either 0 or 1).

0 indicates the payment is made at the end of the period;
1 indicates the payment is made at the start of the period.

• If value is other than 0 or 1, Calci displays #N/A error message.

## Examples

Consider the following example that shows the use of CUMPRINC function:

Cumulative payment on the principal, during each year of a loan of \$30,000 that is to be paid off over 4 years, with an interest rate of 4% per year. Payment is to be made at the end of each month.

• The payments are made monthly, so we have converted the annual interest rate of 4% into a monthly rate (=4%/12).
• The number of years into months (=4*12).

Formulas:

 A B Year 1 =CUMPRINC(4%/12,48,30000,1,12,0) Year 2 =CUMPRINC(4%/12,48,30000,13,24,0) Year 3 =CUMPRINC(4%/12,48,30000,25,36,0) Year 4 =CUMPRINC(4%/12,48,30000,37,48,0)

Results:

 A B Year 1 \$-7,056.90 Year 2 \$-7,344.41 Year 3 \$-7,643.64 Year 4 \$-7,955.05
• The calculated interest payments are negative values, as they represents outgoing payments (for the individual taking out the loan).

CUMPRINC