Financial Mathematics
TVM
Calculator
By Ashish Ambashankar
Time Value of Money
FV & PV Engine
A Project by Ashish Ambashankar
Future Value (FV)
Present Value (PV)
Formulae
Input Parameters
FV
Future Value answers:
What will my money be worth later?
Money today is worth more than the same amount in the future.
Formula
FV = PV × (1 + r/n)^(n×t)
PV = Present Value
r = Annual Rate
n = Compounding Freq.
t = Time (years)
Present Value (PV)
Initial amount
$
Annual Interest Rate (r)
In percent %
%
Time Period (t)
In years
yr
Compounding Frequency (n)
Annually (1×/year)
Semi-Annually (2×/year)
Quarterly (4×/year)
Monthly (12×/year)
Daily (365×/year)
Continuous
Calculate Future Value →
✕ Clear
Result & Interpretation
Enter values and calculate to see results
Input Parameters
PV
Present Value answers:
What is a future sum worth today?
Used in DCF, bond pricing, and investment appraisal.
Formula
PV = FV / (1 + r/n)^(n×t)
FV = Future Value
r = Discount Rate
n = Compounding Freq.
t = Time (years)
Future Value (FV)
Target amount
$
Discount Rate (r)
In percent %
%
Time Period (t)
In years
yr
Compounding Frequency (n)
Annually (1×/year)
Semi-Annually (2×/year)
Quarterly (4×/year)
Monthly (12×/year)
Daily (365×/year)
Continuous
Calculate Present Value →
✕ Clear
Result & Interpretation
Enter values and calculate to see results
Formulae
Concept
Formula
Future Value
FV = PV * (1 + r/n) ^ (n * t)
Present Value
PV = FV / (1 + r/n) ^ (n * t)
Effective Annual Rate
EAR = (1 + r/n) ^ n - 1
Rule of 72
Doubling Time = 72 / r%
Variables
PV = Present Value
FV = Future Value
r = Annual rate (decimal)
n = Compounding frequency/year
t = Time in years