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Variable Declining Balance

Variable declining method. Free online Variable Declining Balance. Calculate variable declining balance online — fast, accurate, mobile-friendly, no signup need

Depreciation
$3,000.00

Derivation

  1. ├── 01Givencost = 10000, rate = 30, year = 1
  2. ├── 02Formulat × (1-a / 100)^(n-1) × (a / 100)
  3. └── 03Compute Depreciation$3,000.00
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§01What is

Understanding the Variable Declining Balance

The Variable Declining Balance computes Depreciation from 3 inputs: cost ($), rate (%), year. Variable declining method.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Variable Declining Balance sits in that toolkit — it variable declining method. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

t × (1-a / 100)^(n-1) × (a / 100)

Where

cost
Cost ($)
rate
Rate (%)
year
Year
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Cost ($) = 10000, Rate (%) = 30, Year = 1.

  1. 01Start by noting the input — Cost ($): 10000.
  2. 02Start by noting the input — Rate (%): 30.
  3. 03Start by noting the input — Year: 1.
  4. 04Substitute these values into the formula: t × (1-a / 100)^(n-1) × (a / 100)
  5. 05Compute Depreciation: the calculator returns 3000.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Variable Declining Balance Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Cost ($) halved

cost = 5000 (from 10000)

Keep every other input at its default and halve the cost ($). See how depreciation responds.

  1. 01New Cost ($): 5000
  2. 02Baseline Depreciation: 3000
  3. 03New Depreciation: 1500
  4. 04Depreciation decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Cost ($) doubled

cost = 20000 (from 10000)

Keep every other input at its default and double the cost ($). See how depreciation responds.

  1. 01New Cost ($): 20000
  2. 02Baseline Depreciation: 3000
  3. 03New Depreciation: 6000
  4. 04Depreciation increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Rate (%) halved

rate = 15 (from 30)

Keep every other input at its default and halve the rate (%). See how depreciation responds.

  1. 01New Rate (%): 15
  2. 02Baseline Depreciation: 3000
  3. 03New Depreciation: 1500
  4. 04Depreciation decreases by 50% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Rate (%) doubled

rate = 60 (from 30)

Keep every other input at its default and double the rate (%). See how depreciation responds.

  1. 01New Rate (%): 60
  2. 02Baseline Depreciation: 3000
  3. 03New Depreciation: 6000
  4. 04Depreciation increases by 100% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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