Finance calculators
Calculators for growing savings, planning retirement, adjusting for inflation and solving time value of money problems, plus a portfolio standard deviation calculator for investment risk. They suit savers checking a plan and students working through a finance course.
Which calculator do I need?
| You have or want | Use |
|---|---|
| A lump sum and an interest rate, and want the balance after some years | Compound interest calculator |
| Regular monthly contributions, and want the end balance or the contribution a target needs | Investment calculator |
| Current savings and a retirement age, and want to know how long the money lasts | Retirement calculator |
| A price today, and want its cost in the future or the value of past money | Inflation calculator |
| Four of N, I/Y, PV, PMT and FV, and want the fifth | Finance calculator (TVM) |
| A series of cash flows, and want NPV, IRR or the payback period | Financial mathematics calculator |
| Asset weights, volatilities and correlations, and want the portfolio’s risk | Portfolio standard deviation calculator |
Saving and investing
See how a lump sum or regular deposits grow with compound interest.
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Compound interest calculator
A = P(1 + r/n)^(nt) with regular deposits, or solve for the rate, time or principal.
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Investment calculator
End balance from a lump sum and regular contributions, or the contribution a target needs.
Planning for the future
Check whether savings will cover retirement and what inflation does to their value.
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Retirement calculator
Savings at retirement in future and today’s money, how long they last, and any shortfall.
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Inflation calculator
Future cost and past value of money at an average inflation rate, or the rate between two prices.
Time value of money and risk
Solve textbook TVM problems, value cash flows, and measure the volatility of a portfolio.
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Finance calculator (TVM)
Solve N, I/Y, PV, PMT or FV like a financial calculator, with a cash-flow timeline.
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Financial mathematics calculator
Present and future values, annuities and perpetuities, effective rates, and the NPV, IRR and payback of cash flows.
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Portfolio standard deviation calculator
The volatility of a two- or multi-asset portfolio from weights, standard deviations and correlations.
One formula behind most of these calculators
Compound growth, FV = PV × (1 + r)ⁿ, sits under nearly every calculator here. The compound interest calculator applies it to a lump sum; the investment calculator adds regular contributions (an annuity); the retirement calculator runs it forwards to retirement and then draws the balance down; and the inflation calculator uses the same formula with the inflation rate to move prices through time. The finance calculator solves the general time value of money equation for any one of N, I/Y, PV, PMT or FV, as a BA II Plus would. The financial mathematics calculator extends this to uneven cash flows, NPV and IRR.
Worked comparison: how compounding frequency matters
Put $10,000 away at 6% a year for 10 years:
| Compounding | Balance after 10 years |
|---|---|
| Yearly | $17,908.48 |
| Monthly | $18,193.97 |
| Continuous | $18,221.19 |
Monthly compounding adds about $285 over yearly, and continuous compounding only another $27. The rate matters far more than the frequency. With 3% inflation, the monthly-compounded $18,193.97 is worth about $13,538 in today’s money, since prices rise by a factor of 1.03¹⁰ = 1.344.
Common mix-ups
- Nominal rate vs APY. 6% compounded monthly is an effective annual yield of 6.17%. Compare accounts on APY.
- Sign convention in TVM. Money you pay out is negative and money you receive is positive; entering PV and FV with the same sign usually gives no solution.
- Nominal vs real returns. A 7% return with 3% inflation grows purchasing power by about 3.9% a year, not 7%.
- Portfolio risk is not the average of the risks. Unless assets are perfectly correlated, the portfolio standard deviation is lower than the weighted average of the individual SDs.
Guides to read alongside
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Volatility and diversification
The SD of returns as volatility, annualising it, and why a mix of assets is less volatile than its parts.
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Bollinger Bands and rolling standard deviation
The moving SD behind ±2 SD bands, worked on a short price series.
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Standard deviation use cases
How the SD is used in finance, quality control, lab work, research and sports.