ETH doubles, 30 days at 0.30%
- Deposit value (both tokens)
- 10000
- Token A price change
- 100
- Token B price change
- 0
- Pool fee tier
- 0.30%
- Total pool liquidity
- 10000000
- Average daily volume
- 1000000
- Days in the pool
- 30
Result Impermanent loss vs holding: 5.72%
Value if held: $15,000.00
LP value before fees: $14,142.14
Fees earned: $90.00
LP value with fees: $14,232.14
Gain or loss vs holding: -$767.86
Days of fees to break even: 286 days
- Price ratio r = (1 + 100%) ÷ (1 + 0%) = 2 ÷ 1 = 2
- Hold value = $10,000.00 × (2 + 1) ÷ 2 = $15,000.00
- LP value = $10,000.00 × √(2 × 1) = $14,142.14
- Impermanent loss = 1 − 2√r ÷ (1 + r) = 5.72%
- Fees = ($10,000.00 ÷ $10,000,000.00) × $1,000,000.00 × 0.3% × 30 days = $90.00
- Net vs holding = $14,142.14 + $90.00 − $15,000.00 = -$767.86
A $10,000 deposit into a $10M pool with $1M daily volume. Doubling the price costs 5.72% against holding, and 30 days of fees do not close that gap.