Loss Recovery Calculator
Understand the asymmetric relationship between investment losses and recovery gains
How much gain to recover from a loss?
Enter the percentage you've lost (0–99.99%)
Recovery Gain Needed
A % loss requires a gain to break even
Original
After Loss
Gain to Recover
Remaining value vs. loss
After losing % of your investment, you're left with . To get back to , you need a gain of ().
How much loss can you tolerate?
The maximum gain you expect from the investment
Maximum Tolerable Loss
If you can gain %, you can afford to lose at most %
The math: If you expect a % gain, you can only tolerate a loss before needing more than your expected gain to recover.
Formula: Max Loss = G / (1 + G)
where G is the expected gain as a decimal.
Multiple consecutive losses
Final Value After Losses
Total loss: — Recovery needed:
Period-by-Period Breakdown
Losing % for consecutive periods results in a total loss of — requiring a gain to recover.
Many people intuitively think 3 losses of 10% = 30% total loss, but the actual total is due to compounding.
Loss vs. Recovery Chart
The curve shows how recovery difficulty accelerates as losses deepen. Hover over the chart to see exact values.
Quick Reference: Loss vs. Recovery
| Loss | Recovery Gain | Difficulty |
|---|---|---|
| 5% | 5.26% | Easy |
| 10% | 11.11% | Easy |
| 20% | 25.00% | Moderate |
| 30% | 42.86% | Moderate |
| 50% | 100.00% | Hard |
| 75% | 300.00% | Very Hard |
| 90% | 900.00% | Near Impossible |
Why Recovery Is Harder Than You Think
The relationship between investment losses and the gains needed to recover is asymmetric — losses hurt more than equivalent gains help.
The Formula:
Recovery % = L / (1 - L) × 100%
Where L is the loss as a decimal (e.g., 50% loss → L = 0.5).
Why does this happen?
When you lose 50% of $100, you have $50 left. To get back to $100, you need to double your $50 — that's a 100% gain. The smaller your remaining base, the larger the percentage gain needed.
Key takeaway: Protecting against large losses is far more important than chasing large gains. A 10% loss needs only 11.11% to recover, but a 50% loss needs 100%. Risk management isn't just about avoiding losses — it's about preserving your ability to recover.
Want to see how money grows instead?
Now that you understand why avoiding large losses matters, learn how compound interest can help your money grow steadily over time.
Try the Compound Interest Calculator