FINAL TOOLBOX
03 // Bidirectional STEM Calculators // FINANCENPV = CF / (1 + r / 100)^t - I₀

Net Present Value (NPV) & Discounted Cash Flow Solver

Net Present Value discounts a future cash inflow CF back to present-day purchasing power using the cost of capital r and subtracts the initial investment outlay I₀.

NPV = CF / (1 + r / 100)^t - I₀
Pick which value you want to calculate (or type into any field):Solving for: NPV — Net Present Value
Calculated

Present value surplus created above the hurdle rate

-500,000.001,000,000.00

Expected terminal cash receipt at year t

1,000.005,000,000.00

Upfront investment required at t = 0

1,000.005,000,000.00

Annual cost of capital or hurdle rate in percent

0.540
%

Years until cash flow realization

0.530
Calculated Result · Net Present Value (NPV)
21,081.67$
Converted units:

Step-by-Step Calculation

01Canonical Law: NPV = CF / (1 + r / 100)^t - I₀
02Given Inputs (Base Units): CF = 150,000 $, I₀ = 100,000 $, r (%) = 7.4, t = 3 yr
03Solve for NPV (Net Present Value): NPV = 21,081.67 $

Net Present Value discounts a future cash inflow CF back to present-day purchasing power using the cost of capital r and subtracts the initial investment outlay I₀.

Real-World Reference Values

Corporate WACC (S&P 500)7.5% – 9.5%

Weighted average cost of capital benchmark

Venture Hurdle Rate25% – 40%

Early-stage risk-adjusted discount rate

Internal Rate of Return (IRR)NPV = $0

Set NPV = 0 and solve for r (%) to find exact IRR

20-Row Comparison Table

Net Present Value (NPV) · Future Cash Inflow (CF)

Net Present Value (NPV) & Discounted Cash Flow Solver — Future Cash Inflow → Net Present Value
#Future Cash Inflow ($)Net Present Value ($)Δ %
011,000.00 $-99,192.79 $-570.52%
0245,019.08 $-63,660.10 $-401.97%
0389,038.16 $-28,127.41 $-233.42%
04150,000.00 $Current21,081.67 $0.00%
05177,076.32 $42,937.98 $+103.67%
06221,095.39 $78,470.67 $+272.22%
07265,114.47 $114,003.36 $+440.77%
08309,133.55 $149,536.05 $+609.32%
09353,152.63 $185,068.74 $+777.87%
10397,171.71 $220,601.44 $+946.41%
11441,190.79 $256,134.13 $+1114.96%
12485,209.87 $291,666.82 $+1283.51%
13529,228.95 $327,199.51 $+1452.06%
14573,248.03 $362,732.20 $+1620.60%
15617,267.11 $398,264.89 $+1789.15%
16661,286.18 $433,797.59 $+1957.70%
17705,305.26 $469,330.28 $+2126.25%
18749,324.34 $504,862.97 $+2294.80%
19793,343.42 $540,395.66 $+2463.34%
20837,362.50 $575,928.35 $+2631.89%
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Frequently Asked Questions

How do I find the Internal Rate of Return (IRR) with this solver?+

Set NPV = 0 and click SOLVE FOR on r (%). The discount rate that drives NPV to zero is by definition the Internal Rate of Return.

What does a positive NPV mean?+

An NPV > 0 indicates the project generates returns exceeding the opportunity cost of capital r, creating net shareholder wealth.

How sensitive is NPV to the discount rate?+

Longer time horizons t amplify discount rate sensitivity exponentially because (1 + r)^t sits in the denominator.