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Financial Planning

Present Value Calculator

Find what a future sum is worth today by discounting it at a chosen annual rate and compounding frequency.

Your inputs

Results

Present value

$7,472.58

Discount factor
0.747258
Discount (time value)
$2,527.42

✓Exact calculation — rounded only for display

Inputs are never added to links for financial, salary or health calculators.

What this calculator does

Money received later is worth less than money today because today’s money can earn a return. Present value tells you the amount you would need to invest now to reach a future sum.

Formula and method

PV = FV × (1 + r/m)^(−m × t) or PV = FV × e^(−r × t) for continuous discounting

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Future amount: 10000 (any currency)
  • Annual discount rate: 6 %
  • Years until received: 5
  • Compounding: Annually

Results

  • Present value: 7,472.58
  • Discount factor: 0.747258
  • Discount (time value): 2,527.42

How to read the results

The discount factor is the value today of one unit received at the future date.

Assumptions and limitations

  • Choose a rate that reflects the risk of actually receiving the future amount.

Financial results are estimates based on the inputs and assumptions shown. They are not financial advice; confirm figures with your lender, provider or a qualified adviser before making decisions.

Questions

What is a discount factor?

It is the multiplier that turns a future amount into a present amount; for example 0.7473 means each future unit is worth about 0.75 today.

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
4 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Because this calculator can involve personal financial or health details, your inputs are never added to share links or saved to history. Privacy policy