Time Value of Money Calculator - PV, FV, PMT, NPV & IRR in One Tool
Money today is worth more than the same amount later because it can earn interest. If you want $2,000 saved in three years, that goal is worth about $1,760 today at a 4.5% discount rate. Use the tabs below for present value, future value, payments, NPV, and IRR.
Present Value
Calculate today's value of a future sum
Present Value
$1,752.59
$247.41 discount over 3 years
Methodology and limitations
Last reviewed:
Methodology
Calculates time value of money metrics: present value (PV), future value (FV), annuity payment (PMT), net present value (NPV), and internal rate of return (IRR) using discount rates and cash flow timing. Uses standard financial formulas and Newton-Raphson iteration for IRR.
Limitations
Educational tool only. Does not account for taxes, inflation, market risk, transaction costs, or changes in discount rates. Verify assumptions before making investment or financing decisions.
How Time Value of Money Calculations Work
Money today is worth more than the same amount later because it can earn interest. If you want $2,000 saved in three years, that goal is worth about $1,760 today at a 4.5% discount rate. Use the tabs below for present value, future value, payments, NPV, and IRR.
Method used
The Time Value of Money suite solves present value, future value, annuity payment, net present value, and internal rate of return. NPV and IRR use an editable cash-flow table; IRR is solved iteratively.
PV = FV / (1+r)^n; FV = PV × (1+r)^n; NPV = Σ CF_t / (1+r)^t; IRR solves NPV = 0
Practical example
You need $2,000 in three years for a goal purchase. At 4.5%, that's worth about $1,760 today—enter present value, future value, or cash flows below to compare timing options.
- Future value: $2,000 in 3 years
- Discount rate: 4.5%
- Present value mode
Present value ≈ $1,760; switch modes for FV, PMT, NPV, or IRR
What this includes
- PV, FV, PMT, NPV, and IRR modes
- Cash-flow table editor and CSV export for NPV schedules
What this excludes
- Taxes, inflation adjustments, and irregular day-count conventions
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Frequently Asked Questions
What is the time value of money?
The time value of money principle states that a dollar today is worth more than a dollar in the future because today's dollar can earn interest. TVM calculations use discount rates to compare cash flows occurring at different times. This is foundational in finance for valuing investments, loans, bonds, leases, and capital projects.
What is present value (PV)?
Present value is today's value of a future sum discounted by a rate. Formula: PV = FV / (1 + r)^n. If you want $2,000 in 3 years and use a 4.5% discount rate, the present value is about $1,760. PV helps you decide if a future savings goal is worth a certain sacrifice today. Use the PV tab in this calculator.
What is future value (FV)?
Future value is what a present sum grows to after earning interest. Formula: FV = PV × (1 + r)^n. $1,500 today at 4.5% for 3 years becomes about $1,710 before extra deposits. Add $50 monthly contributions to model a starter emergency fund. Use the FV tab to project savings growth.
What is NPV and when do I use it?
Net present value (NPV) sums the present value of all cash inflows and outflows in a project or investment. Positive NPV means the project adds value; negative NPV suggests it destroys value. Enter period-by-period cash flows in the NPV tab. This is standard for capital budgeting, acquisition analysis, and multi-year project evaluation.
What is IRR and how is it calculated?
Internal rate of return (IRR) is the discount rate that makes NPV equal zero. It represents the annualized return of an investment. IRR is found iteratively using methods like Newton-Raphson. Enter cash flows in the IRR tab - you need at least one negative (initial investment) and one positive (return) flow. IRR above your cost of capital indicates a profitable investment.
Can I export NPV cash flow schedules?
Yes. The NPV tab generates a table showing each period's cash flow and its discounted present value. Click Download CSV to export the schedule for Excel, financial models, or presentations. This is useful for stakeholder reviews and audit trails.