2026-09-23 6 min read

NPV Calculator

NPV of even inflows vs initial with accept/reject.

Calculator

Initial Investment

Annual Cash Flow

Discount Rate(%)

Number of Periods

Results

Optimal

NPV

$53,614.18

Creates value

PV of Inflows

$153,614.18

Live results update as you type — currently showing npv of $53,614.18. Replace the defaults with your own numbers.

Visualizations

NPV

153,614$Inflows PV

-100,000$Initial

Formula

Value created after cost of capital.

NPV = PV(inflows) − initial

Variables

Symbol	Name	Unit	Description
CF	Annual inflow	$
r	Discount	%

Explanation

Accept if positive.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

PV inflows = CF × (1−(1+r)^−n)/r

Result: $153,614.18

Step 2

NPV = PV − initial

Result: $53,614.18

Final Answer

$53,614.18

Worked Examples

See how the calculator works with different scenarios.

Scenario

The npv calculator run on the values above.

Inputs

initialCost:100000

cashFlow:25000

discountRate:10

periods:10

Calculation

1. PV inflows = CF × (1−(1+r)^−n)/r → $153,614.18 2. NPV = PV − initial → $53,614.18

Result

NPV: $53,614.18

Interpretation

NPV $53,614.18 at 10.00% — accept on value.

Understanding Your Result

Your Result: NPV: $53,614.18

What This Means

Accept if positive.

Why It Matters

NPV $53,614.18 at 10.00% — accept on value.

Professional Interpretation

NPV $53,614.18 at 10.00% — accept on value.

How this is calculated

Value created after cost of capital.

What drives the result

Compounding grows lump sums and streams forward; discounting shrinks them back. The rate is the exchange rate between today and tomorrow.

Recommendations

•NPV > 0 creates value at this discount.
•Even flows assumed — uneven timing needs period-by-period PV.

Educational Content

Introduction

Money has a time price: a dollar today compounds forward and discounts backward. Annuities package that into streams, NPV/IRR judge projects, and DCF prices whole firms.

Concept Explanation

Compounding grows lump sums and streams forward; discounting shrinks them back. The rate is the exchange rate between today and tomorrow.

Applications

▸Saving and loan decisions

▸Project screening with NPV/IRR

▸Firm valuation with DCF

Benefits

•Comparable across timing
•Rate-explicit decisions
•Value linked to cash, not accounting

Limitations

•Constant-rate simplifications
•Even-flow shortcuts where noted
•Forecasts dominate DCF truth

Best Practices

•Match rate frequency to cash frequency
•Show ranges for DCF/IRR
•Annualize before comparing

Common Misconceptions

Myth: Nominal equals effective

Truth: Compounding gaps them — use EAR.

Myth: IRR alone decides

Truth: Scale and timing need NPV beside it.

Practical Tips

•Even flows assumed here.

Common Mistakes

Ignoring timing

Early cash worth more.

Assumptions

This calculator makes the following assumptions to provide estimates:

Even annual flows: Simplified.

Limitations

Be aware of these limitations when using this calculator:

Limitation: Constant-rate simplifications

Limitation: Even-flow shortcuts where noted

Limitation: Forecasts dominate DCF truth

Frequently Asked Questions

Answers to common questions about this calculator.

Hurdle?

Discount at WACC/hurdle.

How accurate is the npv calculator?

It follows the stated TVM formula from your inputs. Match rate frequency to cash frequency for exact results.

Ordinary vs due?

Ordinary pays at period-end; due pays at start and is worth (1+r) more.

Nominal vs effective?

Nominal ignores compounding; effective (EAR) includes it — compare EAR.

Related Guides

Deepen your understanding with these educational resources.

TVM basics guide

PV, FV, annuities and compounding frequency.

NPV, IRR and payback guide

Which project metric to trust and when.

DCF valuation guide

Cash forecasts, discount and terminal value.

Glossary

Technical terms used in mortgage calculations explained in plain language.

NPV: Present value of inflows minus the initial outlay.
DCF: Value as discounted future cash flows plus terminal value.

Authoritative References

Trusted sources and standards referenced by this calculator.

SEC — Time value concepts in filings Federal Reserve — Discount and yield data CFA Institute — TVM and valuation

Applicable Standards

End-of-period (ordinary) timing unless labeled dueMoney rounded for display only; math at full precisionEven annual flows where labeled; uneven timing needs period detail

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Page Information

Last Updated:

2026-09-23

Version:

2.0.0

References:

License:

Free to use for educational and professional purposes.