Pénzügyi

Present Value Calculator

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Future Value

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év

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What is Present Value Calculator?

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A present value calculator discounts a future sum or stream of payments back to today's equivalent value using a discount rate. Higher discount rates make future money worth less today.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

Képlet

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f(x)PV = FV / (1 + r)ⁿ

Variable Legend

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Szimbólum	Név	Egység	Leírás
PV	PMT × [1−(1+r)^−n] / r	—	PMT × [1−(1+r)^−n] / r
FV	FV value	—	Variable used in the calculation

How to Present Value Calculator

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1PV = FV / (1 + r)ⁿ
2PV of annuity = PMT × [1−(1+r)^−n] / r
3r = discount rate per period; n = number of periods
4Discount rate reflects time preference and risk

Worked Examples

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Example 1

Given:Receive $10,000 in 5 years, discount rate 6%

Eredmény:PV = $10,000 / 1.06⁵ = $7,473 today

Real-World Applications

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Personal financial planning and budget setting

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Comparing loan options before signing agreements

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Understanding the true cost of borrowing over time

Present Value of $10,000

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Discount rate	5 years	10 years	20 years
3%	$8,626	$7,441	$5,537
6%	$7,473	$5,584	$3,118
9%	$6,499	$4,224	$1,784
12%	$5,674	$3,220	$1,037

Frequently Asked Questions

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What is Present Value?

A present value calculator discounts a future sum or stream of payments back to today\. Use this calculator for accurate, instant results.

How accurate is the Present Value calculator?

The calculator uses the standard published formula for present value. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Present Value calculator use?

Enter values in the units shown in each input field. The calculator displays results in standard units and shows the calculation steps.

What formula does the Present Value calculator use?

The core formula is: PV = FV / (1 + r)ⁿ. Each step in the calculation is shown so you can verify the result manually.

References

›Present value — Investopedia

Csak tájékoztató jellegű. Ez az eszköz nem minősül pénzügyi tanácsadásnak. Befektetési vagy pénzügyi döntések meghozatala előtt forduljon képzett pénzügyi tanácsadóhoz.

Formula-verified for precision

Reviewed October 2026

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Present Value Calculator