Present Value & Future Value Calculator - Free PV FV Annuity Calculator Tool
PV & FV Calculator
per period
Calculation Results
Present Value
Total Interest
Future Value
Total Deposit
Period-by-Period Schedule
| Period | Deposits | Interest | End balance |
|---|
Portfolio Breakdown
Accumulation Growth Chart
How to Use This Calculator
Step-by-Step Instructions:
- Enter Number of Periods (N): Input the total number of payment periods. For example, if making monthly payments for 5 years, enter 60.
- Set Interest Rate (I/Y %): Enter the annual interest rate as a percentage. The calculator will automatically convert this to the appropriate periodic rate.
- Input Periodic Payment (PMT): Enter the amount of each regular payment you plan to make or receive.
- Choose Payment Timing:
- End of Period: Payments made at the end of each period (ordinary annuity)
- Beginning of Period: Payments made at the start of each period (annuity due)
- Click "Calculate PV": The calculator will compute all results and display comprehensive analysis.
Mathematical Formulas Used
Present Value of Annuity
End-of-Period Payments (Ordinary Annuity):
PV = PMT × [(1 - (1 + r)^(-n)) / r]
Beginning-of-Period Payments (Annuity Due):
PV = PMT × (1 + r) × [(1 - (1 + r)^(-n)) / r]
Future Value of Annuity
End-of-Period Payments (Ordinary Annuity):
FV = PMT × [((1 + r)^n - 1) / r]
Beginning-of-Period Payments (Annuity Due):
FV = PMT × (1 + r) × [((1 + r)^n - 1) / r]
Where:
- PV = Present Value
- FV = Future Value
- PMT = Periodic Payment
- r = Interest rate per period (as decimal)
- n = Number of periods
Common Applications
Retirement Planning
Calculate how much you need to save regularly to reach your retirement goals
Investment Analysis
Evaluate the present value of future investment returns
Loan Calculations
Determine loan payments and total interest costs
Education Funding
Plan for future education expenses with regular savings
References and Additional Resources
Government Resources
- U.S. Securities and Exchange Commission - Investor.gov - Official government resource for investor education
- U.S. Department of Treasury - Financial Education - Treasury's financial literacy resources
- MyMoney.gov - Federal government's website dedicated to teaching financial literacy
- Federal Reserve Economic Research & Data - Economic data and research from the Fed
Related
Write Reply