Calculate the present value of a future sum or annuity stream with discount rate and compounding frequency adjustments.
A future dollar is worth less than a dollar today, and this tool says exactly how much less. Enter a future lump sum or a stream of equal payments, choose a discount rate and how often it compounds, and every cash flow is discounted back to its value today with the standard present value formula. The surprise for most users is that compounding frequency changes the answer. A 6% annual rate compounded monthly produces a smaller present value than the same rate compounded annually, because 6% is a nominal rate split into 0.5% per month, not an effective annual rate.
A concrete input and expected output from the current implementation.
Input
Lump sum: $10,000 received in 5 years, 6% annual rate, compounded annually. Annuity: $1,000 paid at the end of each year for 5 years, 8% annual rate.
Expected output
Lump sum present value: $7,472.58. Annuity present value: $3,992.71.
The lump sum is $10,000 / 1.06^5, and 1.06^5 = 1.33823, so $10,000 / 1.33823 = $7,472.58. The annuity is $1,000 x (1 - 1.08^-5) / 0.08, where the factor (1 - 1.08^-5) / 0.08 = 3.99271, giving $3,992.71.
A single future amount is discounted with PV = FV / (1 + r)^n, where r is the rate per compounding period and n is the number of periods. The tool derives both from the annual rate and compounding frequency you enter, so a 6% annual rate with quarterly compounding becomes 1.5% per quarter over 20 quarters for a 5-year horizon.
Equal payments at a fixed interval are valued in one step with the annuity formula PV = PMT x (1 - (1 + r)^-n) / r, which sums the discounted value of each payment. Payments are assumed to land at the end of each period (an ordinary annuity); if you choose beginning-of-period payments, the result is multiplied by (1 + r) because every payment arrives one period earlier.
Yes, and the difference is material. A stream paid at the start of each period (annuity due) is worth (1 + r) times an end-of-period stream (ordinary annuity) because each payment arrives a period earlier. For $1,000 a year for 5 years at 8%, present value rises from about $3,993 to about $4,312, so confirm which timing the calculator applied before comparing offers.
Use the rate your money could earn elsewhere at comparable risk, not the inflation rate or your loan's APR. A payment as safe as a government bond might be discounted at 4-5%; a startup payout requires a much higher rate, which sharply lowers its present value. No single rate is objectively correct, so run several rates and watch how far the answer moves.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
Calculate gross, operating, and net profit margins from cost and revenue with breakeven analysis.
Convert between annual salary and hourly rate with adjustments for work hours, overtime, and benefits.
Calculate sales tax amounts, tax-inclusive and tax-exclusive prices for any tax rate or jurisdiction.
Calculate return on investment from initial cost and final value with annualized ROI and comparison tables.
Convert between markup and margin percentages, calculate selling price, and compare pricing strategies.
Convert numeric amounts to written words for invoices, checks, and legal documents in multiple currencies.