Present Value Calculator
Calculate the present value of future cash flows using discounting, compounding, and annuity models. Analyze sensitivity across interest rates and understand how time affects money value.
Formulas Used
- Present Value (Single):
- PV = FV / (1 + r)^n
- Ordinary Annuity:
- PV = FV × [1 − (1 + r)^−n] / r
- Annuity Due:
- PV = Ordinary × (1 + r)
- Effective Annual Rate:
- EAR = (1 + r/n)^n − 1
Financial Insights
- - Converts future money into today's value.
- - Accounts for interest and compounding effects.
- Time Value of Money:
- - Money today is worth more than future.
- - Discounting reflects opportunity cost.
- Compounding:
- - More frequent compounding reduces PV.
- - Monthly > quarterly > yearly impact.
- Annuity:
- - Series of equal payments.
- - Used in loans, rents, pensions.
- Sensitivity:
- - Shows how PV changes with interest.
- - Higher rate → lower PV.
- Smart Tips:
- - Lower rates increase present value.
- - Longer periods reduce PV.
- - Compare multiple scenarios.
- Notes:
- - Small rate changes = big PV impact.
- - Always consider compounding frequency.