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bch_qp3hvzy09lzcm46qm4cd 66e0acc0be snapshot: docs.riftenlabs.com/cauldron/ (28 pages) - author: Riften Labs 
Backup of Cauldron docs at snapshot time. Canonical source of truth:
  https://docs.riftenlabs.com/cauldron/

Includes: whitepaper, liquidity/swap/yield/wallets, developer resources,
knowledge base, and the full API section (bcmr, broadcast, cauldron,
contract-subscribe, ido, moria_v11, oracle, root, tokenbch, tokentoken).
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2026-09-02 04:05:04 +02:00

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<article class="md-content__inner md-typeset">
<h1 id="pool-yield">Pool Yield</h1>
<p>This document describes how pool yield is calculated in the Cauldron user interface. See also <a href="../aapy/">Aggregated Pool APY</a>.</p>
<h2 id="pool-yield_1">Pool Yield</h2>
<p>Pool Yield is calculated as follows</p>
<div class="arithmatex">\[
\left( \frac{\sqrt{k_{\text{latest}}} - \sqrt{k_{\text{current}}}}{\sqrt{k_{\text{current}}}} \right) \times 100
\]</div>
<p>Where K is the CPMM formula of a Cauldron liquidity pool.</p>
<div class="arithmatex">\[
K = \text{satoshis} \times \text{token}
\]</div>
<p>Yield is collected by increasing K with every trade. The constant product is squared in the yield formula to get a more accurate representation of the yield. The CPMM formula (K = x * y) creates a non-linear relationship between the liquidity pool size and the impact of liquidity provision on asset prices and trading.</p>
<h2 id="apy">APY</h2>
<p>Pool APY is calculated as follows:</p>
<div class="arithmatex">\[
\left( \left( \frac{\text{pool yield}}{100} + 1 \right)^{\text{annualization factor}} - 1 \right) \times 100
\]</div>
<p>where annualization factor is</p>
<div class="arithmatex">\[
\text{annualization factor} = \frac{365.25}{\text{days elapsed}}
\]</div>
<p>and days elapsed is</p>
<div class="arithmatex">\[
\text{days elapsed} = \frac{\text{period end} - \text{period start}}{86400}
\]</div>
<p>The <strong>annualization factor</strong> (<span class="arithmatex">\(\frac{365.25}{\text{days elapsed}}\)</span>) scales the yield to an annual basis, compensating for shorter active periods by calculating how much yield would accumulate if the observed rate continued over a full year.</p>
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