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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="x-ua-compatible" content="ie=edge">
<title>Cardano Calc</title>
<meta name="description" content="">
<meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1, user-scalable=no, shrink-to-fit=yes">
<link rel="manifest" href="site.webmanifest">
<link rel="apple-touch-icon" href="icon.png">
<link rel="icon" href="favicon.ico?v=1.0">
<link rel="stylesheet" href="node_modules/bootstrap/dist/css/bootstrap.min.css">
<link rel="stylesheet" href="node_modules/swiper/dist/css/swiper.min.css">
<link rel="stylesheet" href="assets/css/vendor/jquery.numpad/jquery.numpad.css">
<link rel="stylesheet" href="assets/css/cardano-calculator.css">
</head>
<body>
<nav class="navbar navbar-expand-lg navbar-light bg-light fixed-top">
<a class="navbar-brand" href=".">Cardano Calculator</a>
<button class="navbar-toggler my-2" type="button" data-toggle="collapse" data-target="#navbarSupportedContent" aria-controls="navbarSupportedContent" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div class="collapse navbar-collapse" id="navbarSupportedContent">
<ul class="nav nav-pills nav-fill" id="pills-tab" role="tablist">
<li class="nav-item">
<a class="nav-link activate-tab active" id="calculator-tab" data-toggle="tab" href="#calculator" role="tab" aria-controls="calculator" aria-selected="true">Calculator</a>
</li>
<li class="nav-item">
<a class="nav-link activate-tab" id="formula-tab" data-toggle="tab" href="#formula" role="tab" aria-controls="formula" aria-selected="false">Formula</a>
</li>
<li class="nav-item">
<a class="nav-link activate-tab" id="faq-tab" data-toggle="tab" href="#faq" role="tab" aria-controls="faq" aria-selected="false">FAQ</a>
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<a class="nav-link activate-tab" id="roadmap-tab" data-toggle="tab" href="#roadmap" role="tab" aria-controls="roadmap" aria-selected="false">Roadmap</a>
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<a class="nav-link activate-tab" id="about-tab" data-toggle="tab" href="#about" role="tab" aria-controls="about" aria-selected="false">About</a>
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</ul>
</div>
</nav>
<div id="main-container" class="container-fluid">
<div class="row">
<div class="col-md-12">
<div class="alert alert-danger alert-dismissible fade show" role="alert">
<strong>Warning!</strong> All following calculations are <b>NOT PRECISE</b>
<p>
The point of this page is to <b>demonstrate</b> HOW Cardano profits are calculated
and to show how many <b>UNKNOWN VARIABLES</b> are used in the calculation.
Result of this calculator <b>SHOULD NOT</b> be considered a promise or a guarantee
of future profits, and should not be used as a financial advice.
</p>
<p>
Not a single company associated with the Cardano project (IOHK, Emurgo, Cardano Foundation, etc.)
should be held accountable for the results of this calculator!
</p>
<button type="button" class="close" data-dismiss="alert" aria-label="Close">
<span aria-hidden="true">×</span>
</button>
</div>
</div>
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<div class="row">
<div class="col-md-12">
<div class="container">
<div class="row">
<div class="col-md-12">
<div class="tab-content" id="pills-tab-content">
<div class="tab-pane fade show active" id="calculator" role="tabpanel" aria-labelledby="calculator-tab">
<h2 class="mb-1">Calculator</h2>
<div id="layout-switcher" role="group" aria-label="Layout switcher"
class="mb-2 btn-group-sm btn-group-toggle" data-toggle="buttons">
<label class="btn btn-light">
<input type="radio" name="options" id="layout-switcher-table" layout="TABLE" autocomplete="off"> Table
</label>
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<input type="radio" name="options" id="layout-switcher-swiper" layout="SWIPER" autocomplete="off"> Swiper
</label>
<div id="locale-selector-div" style="display: inline;">
<label for="locale-selector">
Number format:
<select class="form-control-sm" id="locale-selector">
</select>
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<div class="tab-pane fade" id="formula" role="tabpanel" aria-labelledby="formula-tab">
<div class="row">
<div class="col-md-10">
<h2 class="mb-5">Formula explanation</h2>
<p>All information for calculations are taken from these documents:</p>
<ol>
<li><a href="https://cardanodocs.com/cardano/monetary-policy/">Cardano monetary policy</a></li>
<!--<li><a href="https://www.cardano.org/en/staking/">Cardano staking explained</a></li>-->
<li><a href="https://forum.cardano.org/t/summary-pos-delegation-incentives-lars-brunjes/11880">Cardano staking explained</a></li>
<li><a href="https://adatracker.com/charts">AdaTracker charts (to approximate transaction number)</a></li>
<li><a href="https://github.com/antipalos/istoria/blob/master/explorer/cardano_explorer_latest_stats_2018-07-27.json">"Antipalos" project stats calculated from official explorer</a></li>
</ol>
<h3>Parameters require for calculations:</h3>
<ul id="params-list" class="list-unstyled">
<li><code>INFL</code> - the level of inflation in yearly percentile reserve decrease</li>
<li><code>YEAR</code> - number of full years since the launch of the staking</li>
<li><code>STAKE</code> - your stake in coins</li>
<li><code>TOTAL_STAKE</code> - total stake in the system in coins</li>
<li><code>TX_EPOCH</code> - average number of transactions each epoch (5 days)</li>
<li><code>TX_SIZE</code> - average size of a transaction</li>
<li><code>TAX</code> - the percentage of profits taxed towards the treasury</li>
<li><code>POOL_FEE</code> - the percentage of profits that pool takes as a fee</li>
</ul>
<h3>Full formula:</h3>
<div class="codeblock">
<code>
MINT = 13,887,515,354 * (1 - INFL)<sup>YEAR</sup> * inflation<br/>
FEES = ((73 * TX_EPOCH) * 0.155381) + ((73 * TX_EPOCH) * TX_SIZE * 0.000043946)<br/>
RESULT = (((MINT + FEES) - TAX) * (STAKE / TOTAL_STAKE)) - POOL_FEE
</code>
</div>
<h3>Detailed explanation:</h3>
<h4>Minted coins</h4>
<p class="zero-margin">First we calculate how much coins will be issued this year as an inflation:</p>
<div class="codeblock mb-3">
<code>
MINT = 13,887,515,354 * (1 - INFL)<sup>YEAR</sup> * INFL
</code>
</div>
<p>The 13 billions number is taken from the monetary policy and represents the total reserve
of coins not issued from the beginning. These coins will be gradually issued thru minting
using formula above to calculate the amount. Formula is taken from the staking explanation post.</p>
<p class="zero-margin">For example: if we take an <b>arbitrary example</b> of 5% reserve decrease, and calculated it for the
second year (1 whole year after launch), then it would give us:</p>
<div class="codeblock mb-3">
<code>
13,887,515,354 * (1 - 5%)<sup>1</sup> * 5% = 659,656,979.315
</code>
</div>
<p>Just under 660 millions of newly minted ADA in the second year of staking.</p>
<p>The <code>MINT</code> value now gives us notion of how much <b>new</b> coins will
be issued to reward people. But there are also fees that users pay to send coins or execute any
transactions. Total fees for the whole year are calculated like this:</p>
<h4>Fees</h4>
<div class="codeblock">
<code>
TX_YEAR = 73 * TX_EPOCH<br/>
FIXED_FEES = TX_YEAR * 0.155381<br/>
SIZE_FEES = TX_YEAR * TX_SIZE * 0.000043946<br/>
FEES = FIXED_FEES + SIZE_FEES
</code>
</div>
<p><code>TX_YEAR</code> gives us the average number of transactions for the whole year.
One year consists of 73 epochs. For now it's fixed, but in theory also may change.
Best practice would be to make it a separate parameter <code>EPOCH_YEAR</code></p>
<p><code>FIXED_FEES</code> is the number of all transactions per year multiplied by
the <b>fixed transaction cost</b> as described in the staking explanation post.
It also might change in the future so would be best to define parameter <code>TX_FEE_FIXED</code></p>
<p><code>SIZE_FEES</code> is the sum of all bytes of all transactions per year multiplied by
the <b>byte cost</b> as described in the staking explanation post.
It also might change in the future so would be best to define parameter <code>TX_FEE_PER_BYTE</code></p>
<p class="zero-margin">For example: if we take current average number of transaction from
<a href="https://adatracker.com/charts">the actual tracker</a> it would be around 15,000.
And if we take an average transaction size to be 458 byte, as can be seen in the statistics.
Then we could calculate:</p>
<div class="codeblock">
<code>
TX_YEAR = 73 * 15,000 = 1,095,000<br/>
FIXED_FEES = 1,095,000 * 0.155381 = 170,142.195<br/>
SIZE_FEES = 1,095,000 * 458 * 0.000043946 = 22,039.35846<br/>
FEES = 170,142.195 + 22,039.35846 = 192,181.55346
</code>
</div>
<h4>Tax</h4>
<div class="codeblock">
<code>
UNTAXED_REWARD = MINT + FEES<br/>
TAXED_REWARD = UNTAXED_REWARD - TAX
</code>
</div>
<p><code>UNTAXED_REWARD</code> is the total pool of reward for all stakers in the system, but before
tax is subtracted. Once we subtract some percentage of the total pool into treasury -
we get the final <code>TAXED_REWARD</code> - total reward distributed among all stakers.</p>
<p class="zero-margin">For example: if we take <code>TAX</code> to be 20% just as
an arbitrary rational example (IOHK proposed 20% tax for ETC, but it might end up
being be 25% for Cardano, or some other number), then calculations would go like:</p>
<div class="codeblock">
<code>
UNTAXED_REWARD = 659,656,979.315 + 192,181.55346 = 659,849,160.868<br/>
TAXED_REWARD = 659,849,160.868 - 20% = 527,879,328.694<br/>
SHARE = STAKE / TOTAL_STAKE<br/>
REWARD_SHARE = TAXED_REWARD * SHARE
</code>
</div>
<p>Any arbitrary staker (in the pool or not) may calculate his <b>AVERAGE</b> share of the rewards,
by calculating his <code>SHARE</code> in the total stake of the system.
This parameter of the total stake is actually the most important one, because
it directly and in the most significant way affects how much coins a user will receive
by staking <b>the same</b> amount of coins. The lower total stake - the greater you share
can be with the same coins staked.</p>
<p class="zero-margin">For example: if we take <code>TOTAL_STAKE</code> to be 15 billion (just as
an arbitrary completely random example, no one knows how many actual coins will be staked) and
we take out stake to be 42 thousand coins, then calculations would go like:</p>
<div class="codeblock">
<code>
SHARE = 42,000 / 15,000,000,000 = 0.0000028<br/>
REWARD_SHARE = 527,879,328.694 * 0.0000028 = 1,478.06212
</code>
</div>
<p>This shows us that a person with a 42K coins stacked would receive <b>ROUGHLY</b>
about 1,478.06212 in a year, but <b>ONLY IF</b> there would be 15 billions of total stake.</p>
<h4>Pools fees</h4>
<div class="codeblock mb-3">
<code>
RESULT_REWARD = 1,478.06212 - 5% = 1,404.159014
</code>
</div>
<p class="zero-margin">Pools might take fees of different size and they will define those at the moment
of the pool registration. For example: if we take a <b>completely arbitrary</b> number of 5%,
then calculations would go like:</p>
<p>This gives us the final <b>APPROXIMATE</b> yearly profit of 1,404.159014 for a 42K stake, or 3.34%.</p>
</div>
</div>
</div>
<div class="tab-pane fade" id="faq" role="tabpanel" aria-labelledby="faq-tab">
<div class="row">
<div class="col-md-12">
<h2 class="mb-5">Frequently Asked Questions</h2>
<h5>How reliable is this whole thing, eh?</h5>
<p>Presented results <b>are not</b> a promise of future profits!
All they show is what <b>APPROXIMATE</b> amount of reward a person could receive <b>ON AVERAGE</b>
in the selected period of time (specific year) <b>ONLY IF</b> actual behavior of the system
would somewhat match WITH PARAMETERS SELECTED ABOVE!</p>
<p>This project is <b>strictly educational</b>. These results just <b>demonstrate</b> how the formula works, and the formula is <b>somewhat similar</b>
to the one that will be used in the Cardano reward calculation protocol.</p>
<p class="mb-5">As soon as <b>any new information</b> about the incentives system becomes available - I <b>will update
the default parameters or the formula</b> in this calculator. Subscribe to the informational channels,
and <b>look out for announcements</b>.</p>
<h5>What's up with all those parameters, eh?</h5>
<p>See the <a href="#formula" class="activate-tab"><b>Formula</b></a> page to find
detailed explanation of why all those parameters are needed.Basically, after seeing this calculator
and explanation of its functionality, if someone shows you a calculator with fewer parameters -
you may be sure they are hiding something. There are some yet undefined parameters they are not showing to you.</p>
<p class="mb-5">That's it. All those parameters are <span class="text-danger">required</span> to derive the final value.
And there's no definite value for them exist yet (or ever) like with the fixed fee cost.</p>
<h5>Why total stake is <u>15 billions</u>, eh?</h5>
<p>The amount of <b>somewhat stable</b> total stake in the system is <span class="text-danger">not known</span> at this point
and will also change in time (but not as a predictable function) until it converges
to some more or less stable value (in percentage) and will show only slight fluctuations from there on.</p>
<p>The total stake is <span class="text-danger">one of 2 most important parameters</span> - along with your own stake.
These two parameters are basically decide how much you will profit, because they directly define
<span class="text-danger">your share in total stake</span> - and this value directly shows how much of yearly
inflation and yearly fees will go to you.</p>
<p>So for now - there's <b>absolutely zero</b> available data to decide what the total stake would be in the
year one, or year two, or later on. For a real-world example we can take the "Waves" Proof-of-Stake platform
that <a href="http://dev.pywaves.org/generators-weekly/">has total stake of ~60% of its supply</a>.
So the 15 billion number is taken <span class="text-danger">completely arbitrarily</span> just as middle ground
around 50% of supply. The main point is to <b>SHOW</b> you how this value affects the rewards.
So try to move it around and just plan ahead what you profits <b>would be</b> if the total
stake would be at this value.</p>
<p class="mb-5">It might as well be lower in reality. But might as well be more.</p>
<h5>Why <code>Year</code> needed, eh?</h5>
<p>The <code>Year</code> parameter is <span class="text-danger">required</span>, since all the other monetary
behavior of the system <b>changes in time</b> - inflation decreases with total supply, fixed block
reward changes, etc. Any calculation that does not include time may only demonstrate you a "splice"
of time, for example, only the first year of staking.</p>
<h5>Why <code>Year</code> starts with 2019, eh?</h5>
<p>The official date of staking release in Cardano is not defined yet, but it's <b>somewhere in the fall of 2018</b>.
Since profits are calculated <b>only yearly</b> anyways (for now) and to make controls easier and more concise -
it was decided to simply place 2019 as a first <b>full</b> year of staking. Basically, you can think
of that date as: "the first year when I will receive my yearly profits".</p>
<h5>Are you gonna make it better, eh?</h5>
<p>Yes, see the <a href="#roadmap" class="activate-tab">roadmap</a>.</p>
<h5>Can you add new cool feature, eh?</h5>
<p>See the <a href="#roadmap" class="activate-tab">roadmap</a> in case it's already planned,
or <a href="https://github.com/antipalos/antipalos.github.io/issues/1">propose new features here</a>.</p>
</div>
</div>
</div>
<div class="tab-pane fade" id="about" role="tabpanel" aria-labelledby="about-tab">
<div class="row">
<div class="col-md-10">
<h2 class="mb-5">About this project</h2>
<p>As mentioned in the disclaimer:</p>
<ul class="mb-3">
<li>All calculations are actually <b>rough estimates</b></li>
<li>No result from this calculator should be considered as a promise of a future profits</li>
<li>There are too much <b>unknown variables</b> present in the calculations and without knowing those -
<b>no result</b> might be easily predicted</li>
</ul>
<h5>Why</h5>
<p>Main points of this project are:</p>
<ol>
<li>Show <b>how</b> calculations are done</li>
<li>Show how <b>complex</b> calculations are</li>
<li>Show how many <b>variables</b> are used</li>
<li>Show how many variables are yet <b>unknown</b></li>
<li>Show <b>estimated</b> order of magnitude for rewards</li>
</ol>
<p>This project is <b>educational</b>! Remember this project if someone shows you a calculator
with a couple of fields and a single question of how big your stake is. Or if someone tries to
get an easy answer of "what the profit percentage will be" - show them this calculator.</p>
<p class="mb-5">Also it provides a nice place for the formula explanations with an immediate example.</p>
<h5>Project development</h5>
<p>This calculator is in the initial state. It was developed extremely fast with the
main point ot get the formula and the example to people as soon as possible. There are many
potential additional calculations possible, so project is planned for some support in the near future.</p>
<p class="nav">See <a href="#roadmap" class="pl-1 activate-tab"><b>roadmap</b></a></p>
<p>To ask development questions or propose features, you use:</p>
<ol class="mb-5">
<li>This dedicated discussion issue: <a href="https://github.com/antipalos/antipalos.github.io/issues/1">
https://github.com/antipalos/antipalos.github.io/issues/1</a></li>
<li>Project issues in general: <a href="https://github.com/antipalos/antipalos.github.io/issues?q=is%3Aopen+is%3Aissue+project%3Aantipalos%2Fantipalos.github.io%2F1">
https://github.com/antipalos/antipalos.github.io/issues</a></li>
</ol>
<h5>Design</h5>
<p class="mb-5">
<a target="_blank" href="v0.1/">Initially</a> this website had awful simplistic design (or it's absence).
And this sections contained an invitation for anyone who can do all this stuff to help the project and to contribute
into improving the design. Completely out of nowhere anonymous user <a href="https://github.com/DEFAULTERROR1">DEFAULTERROR1</a>
opened a <a href="https://github.com/antipalos/antipalos.github.io/pull/8">pull-request</a>
that majorly changed the whole layout of the website and turned it into the beauty it is today.<br/>
<br/>
To this day I don't know who the DEFAULTERROR1 really are, but he always will be one of the greatest
and appreciated contributors to this website. He saw the opportunity to help - and he took it.
Be like DEFAULTERROR1 :)
</p>
<h5>Help</h5>
<p>If anyone wants to help with all of this, there are options:</p>
<ul class="mb-5">
<li>
Create issue with a <b>detailed tip</b> on how I can make some JS or CSS stuff work better here:
<a href="https://github.com/antipalos/antipalos.github.io/issues?q=is%3Aopen+is%3Aissue+project%3Aantipalos%2Fantipalos.github.io%2F1">
https://github.com/antipalos/antipalos.github.io/issues
</a>
</li>
<li>
Create issue with a suggestions for new cool calculations - especially awesome if you can also suggest a formula:
<a href="https://github.com/antipalos/antipalos.github.io/issues?q=is%3Aopen+is%3Aissue+project%3Aantipalos%2Fantipalos.github.io%2F1">
https://github.com/antipalos/antipalos.github.io/issues
</a>
</li>
<li>
Just look for something to fix or add and open a PR:
<a href="https://github.com/antipalos/antipalos.github.io/tree/master/cardano-calculator">
https://github.com/antipalos/antipalos.github.io/tree/master/cardano-calculator
</a>
</li>
<li>
Spread the gospel about Cardano in general and this calculator in particular:
<a href="https://forum.cardano.org/">https://forum.cardano.org/</a>
</li>
<li>Donate to our community wiki at:
<a href="https://cardanowiki.info/wiki/Funding">
https://cardanowiki.info/wiki/Funding
</a>
</li>
</ul>
<h3 class="mb-4">Contacts</h3>
<h5 class="mb-3">Cardano</h5>
<p>Forum: <a target="_blank" href="https://forum.cardano.org/">forum.cardano.org</a></p>
<p>Chat: <a target="_blank" href="https://t.me/CardanoGeneral">t.me/CardanoGeneral</a></p>
<p>Reddit: <a target="_blank" href="https://www.reddit.com/r/cardano/">r/Cardano</a></p>
<p class="mb-5">Wiki: <a target="_blank" href="https://cardanowiki.info">cardanowiki.info</a></p>
<h5 class="mb-3">Calculator Dev</h5>
<p>Twitter: <a href="https://twitter.com/vsubhuman">@vsubhuman</a></p>
<p>GitHub: <a href="https://github.com/vantuz-subhuman">@vantuz-subhuman</a></p>
<p>Forum: <a href="https://forum.cardano.org/u/vantuz-subhuman">/u/vantuz-subhuman</a></p>
<p>Reddit: <a href="https://www.reddit.com/user/vantuz-subhuman/">/u/vantuz-subhuman</a></p>
<p>Cardano chat: <a href="https://t.me/CardanoDevelopersOfficial">t.me/CardanoDevelopersOfficial</a></p>
</div>
</div>
</div>
<div class="tab-pane fade" id="roadmap" role="tabpanel">
<div class="row">
<div class="col-md-12">
<h2 class="mb-5">Roadmap</h2>
<p>
<a href="https://github.com/antipalos/antipalos.github.io/issues/1">Propose new features here</a>
or
<a href="https://github.com/antipalos/antipalos.github.io/issues?q=is%3Aopen+is%3Aissue+project%3Aantipalos%2Fantipalos.github.io%2F1">
vote on existing features here</a>.
</p>
<h3>0.1</h3>
<ul>
<li>Release basic functionality</li>
</ul>
<h3><a href="https://github.com/antipalos/antipalos.github.io/issues/16">0.1.1</a> ✓ (Current version)</h3>
<ul>
<li><a href="https://github.com/antipalos/antipalos.github.io/issues/6">Design improvements and mobile layout</a></li>
<li><a href="https://github.com/antipalos/antipalos.github.io/issues/11">Localized number formatting</a></li>
<li><a href="https://github.com/antipalos/antipalos.github.io/issues/20">Default tx-size changed to 350 bytes</a></li>
<li><a href="https://github.com/antipalos/antipalos.github.io/issues/15">ADA favicon added</a></li>
</ul>
<h3>0.2</h3>
<ul>
<li>Add "portion of max supply" calculation</li>
<li>Extract text (templating engine?)</li>
<li>Calculate yearly restaking</li>
</ul>
<h3>0.3</h3>
<ul>
<li>Rework period calculation (prepare for per-epoch calculations)</li>
<li>Calculator for pools</li>
<li>Translation support</li>
</ul>
<h3>0.4</h3>
<ul>
<li>Per-epoch calculations (with restaking)</li>
<li>Basic multiperiods calculation (epochs to years)</li>
</ul>
<h3>0.5</h3>
<ul>
<li>Links with parameters</li>
<li>...</li>
</ul>
<h3>0.6</h3>
<ul>
<li>Prepare for stats collecting</li>
<li>...</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-md-12">
<div id="footer" class="text-center">
Version: 0.1 (<a href="#roadmap" class="activate-tab">roadmap</a>)
| GitHub <a target="_blank" href="https://github.com/antipalos/antipalos.github.io/issues?q=is%3Aopen+is%3Aissue+project%3Aantipalos%2Fantipalos.github.io%2F1">@Antipalos</a>
| Dev: <a target="_blank" href="https://twitter.com/vsubhuman">@vsubhuman</a>
| Forum: <a target="_blank" href="https://forum.cardano.org/t/cardano-staking-profits-calculator/12314">forum.cardano.org</a>
| Chat: <a target="_blank" href="https://t.me/CardanoGeneral">t.me/CardanoGeneral</a>
| Reddit: <a target="_blank" href="https://www.reddit.com/r/cardano/comments/8m0ji3/cardano_staking_profits_calculator/">r/Cardano</a>
| Donate: <a target="_blank" href="https://cardanowiki.info/wiki/Funding">CardanoWiki</a>
</div>
</div>
</div>
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