Financial Math Guide

Future Value (FV)

FV = PV × (1 + r)^n

PV=present value, r=rate per period, n=periods

Present Value (PV)

PV = FV / (1 + r)^n

Discounting future cash flow to today

Compound Interest

A = P(1 + r/n)^(nt)

n=compounds/year, t=years

Net Present Value (NPV)

NPV = Σ [Ct / (1+r)^t] - C0

Ct=cash flow at t, C0=initial investment

Rule of 72

Years to double ≈ 72 / r%

e.g. at 6%/year: 72/6 = 12 years

Annuity Present Value

PVA = PMT × [1-(1+r)^-n] / r

PMT=periodic payment

Compound Interest Calculator

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