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Fixed Declining Balance

Fixed declining method. Free online Fixed Declining Balance. Calculate fixed declining balance online — fast, accurate, mobile-friendly, no signup needed.

Fixed rate
36.9043%

Derivation

  1. ├── 01Givencost = 10000, salvage = 1000, life = 5
  2. ├── 02Formula100 × (1-(a / t)^(1 / n))
  3. └── 03Compute Fixed rate36.904266
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§01What is

Understanding the Fixed Declining Balance

The Fixed Declining Balance computes Fixed rate from 3 inputs: cost ($), salvage ($), life (years). Fixed declining method.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Fixed Declining Balance sits in that toolkit — it fixed 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

100 × (1-(a / t)^(1 / n))

Where

cost
Cost ($)
salvage
Salvage ($)
life
Life (years)
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Cost ($) = 10000, Salvage ($) = 1000, Life (years) = 5.

  1. 01Start by noting the input — Cost ($): 10000.
  2. 02Start by noting the input — Salvage ($): 1000.
  3. 03Start by noting the input — Life (years): 5.
  4. 04Substitute these values into the formula: 100 × (1-(a / t)^(1 / n))
  5. 05Compute Fixed rate: the calculator returns 36.9043.
  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 Fixed 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 fixed rate responds.

  1. 01New Cost ($): 5000
  2. 02Baseline Fixed rate: 36.9043
  3. 03New Fixed rate: 27.522
  4. 04Fixed rate decreases by 25.4% → 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 fixed rate responds.

  1. 01New Cost ($): 20000
  2. 02Baseline Fixed rate: 36.9043
  3. 03New Fixed rate: 45.072
  4. 04Fixed rate increases by 22.1% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Salvage ($) halved

salvage = 500 (from 1000)

Keep every other input at its default and halve the salvage ($). See how fixed rate responds.

  1. 01New Salvage ($): 500
  2. 02Baseline Fixed rate: 36.9043
  3. 03New Fixed rate: 45.072
  4. 04Fixed rate increases by 22.1% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Salvage ($) doubled

salvage = 2000 (from 1000)

Keep every other input at its default and double the salvage ($). See how fixed rate responds.

  1. 01New Salvage ($): 2000
  2. 02Baseline Fixed rate: 36.9043
  3. 03New Fixed rate: 27.522
  4. 04Fixed rate decreases by 25.4% → 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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