Periodic Payment Calculator
Ask someone for the periodic payment on their loan, and most people cannot answer — they know only the monthly figure they pay. But periodic payment is the beating heart of every amortizing loan: car notes, mortgages, equipment financing, student loans, business term loans. It is the fixed amount per period that — paid n times — exactly repays principal plus interest.
The Periodic Payment Calculator on this page solves for that number. Enter the loan amount, annual rate, term, and frequency. It returns the payment per period, the count of payments, the periodic rate, total paid, total interest, annual payment total, and how the first payment splits between interest and principal.
What Is Periodic Payment?
Periodic payment is the constant payment per period of a fully amortizing loan. It must satisfy P = PV × i ÷ (1 − (1+i)^−n), where i is the per-period rate and n is the number of payments. Each payment covers the period's interest and retires some principal.
Why Periodic Payment Matters
Apples-to-apples comparison: compare monthly vs biweekly vs quarterly on equal footing. Cash-flow planning: the periodic figure is the recurring commitment. Interest cost control: more frequent payments reduce interest slightly. Loan design: lenders use the formula to set payment schedules.
How to Use the Calculator
Step 1: Enter the loan amount/present value (e.g., 250000).
Step 2: Enter the annual interest rate (e.g., 7).
Step 3: Enter the term and select years or months (e.g., 5 years).
Step 4: Select payments per year (e.g., 12 monthly).
Step 5: Click Calculate to see the periodic payment and totals.
Worked Examples
Mortgage: $250,000, 7%, 30 yrs, monthly. Payment = $1,663.26/month. Count = 360. Total paid = $598,773. Total interest = $348,773. Annual total = $19,959.
Car: $28,000, 8%, 5 yrs, monthly. Payment = $567.74/month. Count = 60. Total paid = $34,064. Total interest = $6,064.
Quarterly: $100,000, 6%, 10 yrs, quarterly. Per-period rate = 1.5%. Payment = $3,352.16/quarter. Count = 40.
Frequency Deep Dive
More frequent payments mean each is smaller and total interest is slightly lower. For $100,000 at 8%, 10 years: annually = $14,903 (interest $49,027); quarterly = $3,652 (interest $46,064); monthly = $1,213 (interest $45,579).
Tips
- Match the rate to the period. Divide annual by payments per year.
- Count periods exactly. 30 years monthly = 360, not 30.
- Compare frequencies. More frequent = marginally cheaper.
- Read the first-payment split. Early interest share reveals loan dynamics.
- Round up. Pay slightly more than calculated to build buffer.
Frequently Asked Questions
1. What is a periodic payment? The fixed amount paid each period that fully repays a loan with interest.
2. How do I calculate it? P = PV × i ÷ (1 − (1+i)^−n). Use this page's calculator.
3. Does frequency affect total interest? Slightly — more frequent payments reduce interest because principal falls sooner.
4. What's the periodic rate? Annual rate divided by payments per year.
CONCLUSION
The periodic payment is the single number that defines a loan's affordability. Compute it before signing anything, compare frequencies, and understand where your money goes.