Present Worth Calculator

Model discounting with compounding, inflation, growth, and deferred timing. Track every cash flow with clarity. Visualize yearly contributions for smarter long term value decisions.

Calculator Inputs

Enter positive benefits and negative costs. The form uses a 3 column layout on large screens, 2 on smaller screens, and 1 on mobile.

Reset Form
Nominal annual rate before compounding adjustment.
Used to estimate the real annual rate.
Use 1 for annual, 12 for monthly, or 365 for daily.
Base horizon for the evaluation summary.
Usually negative when it represents an upfront cost.
Single future amount discounted back to the present.
Year when the lump sum occurs.
Amount of the first annual payment or receipt.
Applies a constant growth rate to the annual series.
First year of the recurring cash flow series.
Last year of the recurring cash flow series.
Residual or salvage value near the horizon.
Year when the terminal value occurs.
Example lines: 2,1500 or 5,-900. Use negative values for extra costs.

Formula Used

1) Core present worth model

PW = Σ [CFt / (1 + ieff)t]

Each cash flow is discounted to year zero. Positive cash flows add value. Negative cash flows reduce value.

2) Effective annual discount rate

ieff = (1 + r / m)m - 1

Here, r is the nominal annual discount rate and m is the number of compounding periods per year.

3) Growing annual cash flow

CFt = A × (1 + g)(t - s)

The calculator grows the first annual cash flow A by the annual growth rate g, starting at year s.

4) Real annual rate

ireal = [(1 + ieff) / (1 + f)] - 1

This converts the effective annual rate into a real rate using inflation f.

5) Equivalent annual worth

EAW = PW × [i(1+i)n / ((1+i)n - 1)]

This spreads net present worth into a uniform yearly amount over the analysis horizon n.

How to Use This Calculator

  1. Enter the annual discount rate, inflation rate, and compounding frequency.
  2. Add the initial cash flow at year zero. Costs are usually negative.
  3. Enter any future lump sum and the year when it occurs.
  4. Enter an annual cash flow series, plus an optional growth rate.
  5. Add a terminal value if you expect a salvage amount later.
  6. List irregular cash flows in the custom box using Year,Amount format.
  7. Click the calculate button to show results above the form.
  8. Review the summary cards, yearly table, and Plotly graph.
  9. Use the CSV and PDF buttons to export the output.

Example Data Table

This sample illustrates how discounted values shrink future cash flows when the discount rate is applied.

Year Cash Flow Discount Factor Present Worth Explanation
0 -25,000.00 1.0000 -25,000.00 Initial investment occurs immediately.
1 4,500.00 0.9260 4,167.00 First annual benefit is discounted one year.
3 -2,000.00 0.7938 -1,587.60 Additional maintenance cost lowers total value.
6 3,500.00 0.6302 2,205.70 Irregular positive cash flow is discounted back.
10 26,000.00 0.4632 12,043.20 Combined end benefits include future sum and terminal value.

FAQs

1) What does present worth mean?

Present worth is the current value of future cash flows after discounting them by a chosen rate. It helps compare options with different timing patterns using one common value today.

2) Should costs be entered as negative values?

Yes. Enter costs as negative numbers and benefits as positive numbers. This keeps the net present worth calculation consistent and makes the yearly breakdown easier to interpret.

3) Why does the calculator ask for compounding periods?

Compounding frequency changes the effective annual rate. A nominal rate compounded monthly produces a slightly different discount factor than the same rate compounded annually.

4) What is the difference between nominal and real rate?

The nominal rate is the stated discount rate. The real rate removes inflation from that rate. Use the real rate when your cash flows are expressed in constant purchasing power.

5) Can I model uneven cash flows?

Yes. Use the custom cash flow box and add one entry per line in Year,Amount format. This is useful for repairs, bonus income, or irregular project expenses.

6) What does discounted payback show?

Discounted payback estimates when cumulative discounted value reaches zero or better. It accounts for the time value of money, unlike simple payback.

7) Why can net present worth be lower than total cash flow?

Future money is worth less today when discounting is applied. Even if undiscounted cash flows look large, their present worth can be much smaller after timing is considered.

8) When is a higher present worth better?

For comparable alternatives, a higher positive present worth is generally better because it means the discounted benefits exceed discounted costs by a larger margin.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.