Liquidity Pool Impermanent Loss & Staking Net Yield Calculator

Compare 50/50 AMM liquidity pool value against HODL across price ratios.

Impermanent Loss Percentage
-4.17 %
LP Pool Value (With Fees) USD 14,599.97
50/50 HODL Benchmark Value USD 14,000.00
Earned LP Fee Income USD 1,183.56
Inputs
Amounts are treated in the selected currency; no foreign-exchange conversion is applied.
USD
Initial 50/50 liquidity pool deposit value.
×
Relative price change ratio of Token A vs. Token B (e.g., 2.0 = 2× price).
%
Annualized trading fee + staking reward APR (%).
days
Days liquidity remains in the pool.
Results & Graph
Impermanent Loss Percentage
-4.17 %
LP Pool Value (With Fees)
USD 14,599.97
50/50 HODL Benchmark Value
USD 14,000.00
Earned LP Fee Income
USD 1,183.56

Impermanent Loss Percentage

Graph 1 • Initial Pool Deposit Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
-4.2 % -1.5 % 1.1 % 50%: -4.17 % -4.2 50% 75%: -4.17 % -4.2 75% 100%: -4.17 % -4.2 100% 125%: -4.17 % -4.2 125% 150%: -4.17 % -4.2 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Impermanent Loss Percentage -4.17 % LP Pool Value (With Fees) USD 14,599.97 50/50 HODL Benchmark Value USD 14,000.00 Earned LP Fee Income USD 1,183.56
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Impermanent Loss Percentage-4.17 %LP Pool Value (With Fees)USD 14,599.9750/50 HODL Benchmark ValueUSD 14,000.00Earned LP Fee IncomeUSD 1,183.56
Summary: A 1.8× relative price shift causes -4.17% impermanent loss (USD 583.59 vs. HODL), offset by USD 1,183.56 in LP fees.
Summary: A 1.8× relative price shift causes -4.17% impermanent loss (USD 583.59 vs. HODL), offset by USD 1,183.56 in LP fees.
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Formula & Mathematical Methodology: Impermanent Loss & LP Mathematical Formula

IL% = [ 2 × √PriceRatio / (1 + PriceRatio) ] − 1
IL% = [ 2 × √PriceRatio / (1 + PriceRatio) ] − 1
  • initialPoolDeposit: Initial Pool Deposit (USD)
  • tokenPriceRatioChange: Token Price Ratio Change (×)
  • annualPoolFeeAprPct: Annual Pool Fee Apr Pct (%)
  • daysInPool: Days In Pool (days)

Rounding: Intermediate calculations retain full IEEE-754 floating-point precision; displayed currency and ratios round to 2 decimal places.

Worked Example: Benchmark Scenario: Impermanent Loss & LP

Compare 50/50 AMM liquidity pool value against HODL across price ratios.

  1. Enter the portfolio, option, lease, or corporate balance-sheet inputs.
  2. Evaluate the core equation: IL% = [ 2 × √PriceRatio / (1 + PriceRatio) ] − 1.
  3. Inspect the primary valuation output, risk metrics, and 3 visual SVG graphs.
Result: Computes Impermanent Loss & LP using IL% = [ 2 × √PriceRatio / (1 + PriceRatio) ] − 1.

Frequently Asked Questions

How does the Liquidity Pool Impermanent Loss & Staking Net Yield Calculator calculate results?

It evaluates IL% = [ 2 × √PriceRatio / (1 + PriceRatio) ] − 1 directly in your browser and updates the three domain SVG visualizations immediately as you adjust any input.

Can I compare multiple investment or financing scenarios side by side?

Yes. Click "Compare (0/3)" in the results toolbar to pin up to three scenarios side by side.

Are my financial numbers kept private?

Yes. All calculations run 100% locally in your browser with zero server uploads.

Finance & Investing · Quantitative Investing & Derivatives

Liquidity Pool Impermanent Loss & Staking Net Yield Calculator: inputs, method, and how to read the result

Compare 50/50 AMM liquidity pool value against HODL across price ratios.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Display Currency: Amounts are treated in the selected currency; no foreign-exchange conversion is applied.
  • Initial Pool Deposit: Initial 50/50 liquidity pool deposit value.
  • Token Price Ratio Change: Relative price change ratio of Token A vs. Token B (e.g., 2.0 = 2× price).
  • Annual Pool Fee Apr Pct: Annualized trading fee + staking reward APR (%).

What the calculation includes

With the default values shown, Impermanent Loss Percentage is -4.17 %. The calculation follows Impermanent Loss & LP Mathematical Formula; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Token Price Ratio Change from 1.8 × to 1.98 × changes Impermanent Loss Percentage from -4.17 % to -5.56 %. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard quantitative finance, GAAP/IFRS operating ratios, and continuous/periodic compounding conventions.
  • For educational and analytical modeling only; consult a licensed CPA, CFA, or fiduciary advisor before executing tax or derivative transactions.

Scope: Global Financial & Corporate Valuation Standard Check the assumptions and limitations against your situation before relying on the estimate.

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