Excel PPMT function with formula examples
This tutorial explains how to use Excel's PPMT function to calculate the principal portion of loan or investment payments. Each payment includes interest and principal; the PPMT function isolates the principal component. While the total payment remains constant, the principal portion increases with each subsequent payment.
Excel offers functions to calculate total payments and their components. This guide focuses on the PPMT function for principal payment calculation.
Excel PPMT Function: Syntax and Basic Usage
The PPMT function calculates the principal payment for a specific period, given a constant interest rate and payment schedule.
Syntax:
PPMT(rate, per, nper, pv, [fv], [type])
- rate: The constant interest rate (annual rate divided by the number of payments per year).
- per: The period number for which you want to calculate the principal payment (integer between 1 and nper).
- nper: The total number of payment periods.
- pv: The present value (loan amount or initial investment). A negative value indicates a loan; a positive value indicates an investment.
- fv: (Optional) The future value (balance after the last payment). Defaults to 0.
- type: (Optional) Indicates when payments are due: 0 (end of period, default) or 1 (beginning of period).
Example: A $50,000 loan at 8% annual interest, repaid annually over 3 years:
=PPMT(0.08, 1, 3, -50000)
(Principal payment for period 1)
For monthly payments:
=PPMT(0.08/12, 1, 3*12, -50000)
Instead of hardcoding values, use cell references:
To display a positive result, negate either the entire formula or the pv argument:
=-PPMT(0.08, 1, 3, -50000)
or =PPMT(0.08, 1, 3, 50000)
Key Considerations:
- The PPMT function returns a negative number (outgoing payment).
- Results are typically formatted as currency, with negative numbers in red parentheses.
- Maintain consistency in rate and nper for different payment frequencies (weekly: rate = annual rate/52, nper = years*52; monthly: rate = annual rate/12, nper = years*12; etc.).
Examples: PPMT Formula Applications
Example 1: Short Form PPMT
Calculate principal payments for a 12-month loan. Use cells for inputs:
- B1: Annual interest rate
- B2: Loan term (years)
- B3: Payments per year
- B4: Loan amount
Formula (in C7, dragged down):
=PPMT($B$1/$B$3, A7, $B$2*$B$3, $B$4)
(A7 contains the period number)
The total principal should equal the loan amount.
Example 2: Full Form PPMT
Calculate principal payments for an investment growing to a specified future value. Use cells for inputs:
- B1: Annual interest rate
- B2: Investment term (years)
- B3: Payments per year
- B4: Present value (pv)
- B5: Future value (fv)
- B6: Payment due type (type)
Formula (in C10, dragged down):
=PPMT($B$1/$B$3, A10, $B$2*$B$3, $B$4, $B$5, $B$6)
The total principal should equal the future value.
Troubleshooting PPMT Errors:
-
NUM!: per must be between 1 and nper.
-
VALUE!: Arguments must be numeric.
- Incorrect results: Ensure correct rate and nper calculations for different payment frequencies.
This comprehensive guide enables you to effectively utilize the PPMT function in Excel for accurate principal payment calculations.
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