ANALYTICS ENGINE
Growth vs Decay Compare
Visualizing the divergence of compounding interest vs constant depreciation.
UPWARD PATH (GROWTH)
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DOWNWARD PATH (DECAY)
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-0% ChangeExponential Divergence: Why 10% isn't 10%
In mathematics, Exponential Growth is multiplicative upwards ($1 + r$), while Exponential Decay is multiplicative downwards ($1 - r$). Because growth is unbounded and decay is bounded by zero, the gap between these two scenarios grows faster than most people anticipate.
Growth Logic:
Decay Logic:
Future = Present × (1 + r)^t Decay Logic:
Future = Present × (1 - r)^t
The "Losing" Paradox
If you lose 50% of your value (Decay), you actually need a 100% gain (Growth) just to get back to where you started. This tool helps visualize why mitigating decay is often more important than chasing aggressive growth.
