# Staking Rewards Calculator by Dr. Ichikawa

**URL:** <https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209>\
**Category:** Education\
**Created:** [27 December 2017 16:35 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209 "2017-12-27T16:35:14Z")\
**Posts on this page:** 20\
**Page:** 1

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**Author:** ![Chainomatic](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/chainomatic/32/135_2.png) [@Chainomatic](https://forum.cardano.org/u/Chainomatic)\
**Post date:** [27 December 2017 16:35 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/1 "2017-12-27T16:35:14Z")

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A very nice [ADA calculator by Dr. Ichikawa](http://ada-calc.herokuapp.com)

 ![02](https://us1.discourse-cdn.com/flex023/uploads/cardano/original/2X/c/c7fd69e8b29c273b8c550375178c35b7fadd61ff.png)

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**Author:** ![werkof](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/werkof/32/1337_2.png) [@werkof](https://forum.cardano.org/u/werkof)\
**Post date:** [27 December 2017 16:50 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/2 "2017-12-27T16:50:23Z")

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Where does the mentioned interest rates came from?

```
Interest Rate = 9.13% (1st & 2nd year), 6.28% (3rd year), 4.57% (4th year)
```

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<div class="post-metadata">

**Author:** ![eduardomk](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/eduardomk/32/772_2.png) [@eduardomk](https://forum.cardano.org/u/eduardomk)\
**Post date:** [27 December 2017 17:53 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/3 "2017-12-27T17:53:24Z")

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This calculator sounded very much magical to me.  
What is the formula of it?

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<div class="post-metadata">

**Author:** ![Chainomatic](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/chainomatic/32/135_2.png) [@Chainomatic](https://forum.cardano.org/u/Chainomatic)\
**Post date:** [27 December 2017 17:57 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/4 "2017-12-27T17:57:15Z")

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9.13% (1st & 2nd year)  
6.28% (3rd year)  
4.57% (4th year)

So for example if you have 1,000 ADA:  
1,000 x 0.0913 = 91.3 ADA

9.13% = 0.0913  
6.28% = 0.0628  
etc

Did this help?

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<div class="post-metadata">

**Author:** ![eduardomk](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/eduardomk/32/772_2.png) [@eduardomk](https://forum.cardano.org/u/eduardomk)\
**Post date:** [27 December 2017 18:24 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/5 "2017-12-27T18:24:19Z")

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Nop, where did 9.13, 6.28 and 4.57% came from?

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<div class="post-metadata">

**Author:** ![anon97642430](https://avatars.discourse-cdn.com/v4/letter/a/bbce88/32.png) [@anon97642430](https://forum.cardano.org/u/anon97642430)\
**Post date:** [27 December 2017 20:25 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/6 "2017-12-27T20:25:53Z")

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And why stops at year 4?

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**Author:** ![Vanamonde](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/vanamonde/32/20593_2.png) [@Vanamonde](https://forum.cardano.org/u/Vanamonde)\
**Post date:** [27 December 2017 21:39 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/7 "2017-12-27T21:39:10Z")

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what interests rate?where can I read about it?

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<div class="post-metadata">

**Author:** ![Chainomatic](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/chainomatic/32/135_2.png) [@Chainomatic](https://forum.cardano.org/u/Chainomatic)\
**Post date:** [27 December 2017 22:06 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/8 "2017-12-27T22:06:51Z")

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It is a forward looking calculator, when the _**[reward era](https://cardanodocs.com/timeline/reward/)**_ starts Cardano will operate completely decentralized until then this is an EXAMPLE of what you can expect.

Given the source I would say the reward example should be close.

> [@anon97642430](#):
>
> And why stops at year 4?

This calculator only goes to up to year 4,a design choice.

Read more about Cardano’s novel reward mechanism for incentivizing Proof of Stake:  
[Ouroboros: A Provably Secure Proof-of-Stake Blockchain Protocol](https://eprint.iacr.org/2016/889)

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<div class="post-metadata">

**Author:** ![Vanamonde](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/vanamonde/32/20593_2.png) [@Vanamonde](https://forum.cardano.org/u/Vanamonde)\
**Post date:** [28 December 2017 09:10 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/9 "2017-12-28T09:10:06Z")

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@Chainomatic I wish I could understand that paper, but that math is accessible only to PhDs, am I wrong?

would be nice someone summing it up to make it accessible to common mortals

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<div class="post-metadata">

**Author:** ![isferos](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/isferos/32/1699_2.png) [@isferos](https://forum.cardano.org/u/isferos)\
**Post date:** [28 December 2017 11:04 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/10 "2017-12-28T11:04:49Z")

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At the top of the calculator site, it says:

> This site is unofficial and the result is approximate. We can’t guarantee your future rewards.

It sounds like the rates of return are currently speculative.

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<div class="post-metadata">

**Author:** ![ZCryt0Knight](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/zcryt0knight/32/9097_2.png) [@ZCryt0Knight](https://forum.cardano.org/u/ZCryt0Knight)\
**Post date:** [11 April 2018 17:27 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/11 "2018-04-11T17:27:50Z")

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This is awesome! Where did you get the numbers from? Arigato Hozarimas.

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**Author:** ![vantuz-subhuman](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/vantuz-subhuman/32/3976_2.png) [@vantuz-subhuman](https://forum.cardano.org/u/vantuz-subhuman)\
**Post date:** [11 April 2018 17:34 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/12 "2018-04-11T17:34:01Z")

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> [@werkof](#):
>
> Where does the mentioned interest rates came from?

> [@eduardomk](#):
>
> What is the formula of it?

> [@eduardomk](#):
>
> where did 9.13, 6.28 and 4.57% came from?

> [@Vanamonde](#):
>
> what interests rate?where can I read about it?

> [@isferos](#):
>
> It sounds like the rates of return are currently speculative.

All these questions, without an answer…

And yet, 3 months later:

> [@ZCryt0Knight](#):
>
> Where did you get the numbers from?

We are all interested, but I think the answer is lost in time 🙂

P.S. But everyone seem to enjoy some magic that shows them “much profit!” =)

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<div class="post-metadata">

**Author:** ![Adafans\_io](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/adafans_io/32/2381_2.png) [@Adafans\_io](https://forum.cardano.org/u/Adafans_io)\
**Post date:** [12 April 2018 05:40 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/13 "2018-04-12T05:40:31Z")

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Data comes from the old monetary policy. ![old%20monetary%20policy](https://us1.discourse-cdn.com/flex023/uploads/cardano/original/2X/7/72649b0cd5b580abe716c7b373e0f9fc0f42c12d.jpg)

So Dr. Ichikawa just did the math ( 2000 ada per block)

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<div class="post-metadata">

**Author:** ![Adafans\_io](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/adafans_io/32/2381_2.png) [@Adafans\_io](https://forum.cardano.org/u/Adafans_io)\
**Post date:** [12 April 2018 05:59 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/14 "2018-04-12T05:59:06Z")

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> [@vantuz-subhuman](#):
>
> P.S. But everyone seem to enjoy some magic that shows them “much profit!” =)

No magic my man 😘

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<div class="post-metadata">

**Author:** ![Adafans\_io](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/adafans_io/32/2381_2.png) [@Adafans\_io](https://forum.cardano.org/u/Adafans_io)\
**Post date:** [12 April 2018 08:15 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/15 "2018-04-12T08:15:10Z")

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Friends… please review this “basic” math

so 2000 ada per slot  
for 3 744 961 slots  
1 epoch = 21599 slots  
so for 173 epochs (865 days  
7 489 922 000 ada will be minted  
-25 % to treasury = 5 617 441 500 distributed as rewards  
5 617 441 500 ada during 865 days (2.3 years) = 1 year = 2 442 365 869 ada  
Circulating Supply  
25,927,070,538 ADA  
9% of it is ~ 2.3 bil ada - very close to this 2.4 bil math  
**If all ada will be staked we will still be getting almost 10%**  
**if less, than even more**?

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<div class="post-metadata">

**Author:** ![\_ilap](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/_ilap/32/80886_2.png) [@\_ilap](https://forum.cardano.org/u/_ilap)\
**Post date:** [12 April 2018 09:51 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/16 "2018-04-12T09:51:31Z")

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That’s nice, where did you get that as I was trying to find any related stuff on the web archive and other sources wo/ any success.

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<div class="post-metadata">

**Author:** ![Adafans\_io](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/adafans_io/32/2381_2.png) [@Adafans\_io](https://forum.cardano.org/u/Adafans_io)\
**Post date:** [12 April 2018 09:52 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/17 "2018-04-12T09:52:43Z")

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A print screen from [https://cardanodocs.com/cardano/monetary-policy/](https://cardanodocs.com/cardano/monetary-policy/) (old version obv)

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<div class="post-metadata">

**Author:** ![vantuz-subhuman](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/vantuz-subhuman/32/3976_2.png) [@vantuz-subhuman](https://forum.cardano.org/u/vantuz-subhuman)\
**Post date:** [12 April 2018 09:52 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/18 "2018-04-12T09:52:53Z")

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> [@Adafans\_io](#):
>
> Data comes from the old monetary policy.

Thank you @Adafans_io for finally resolving this age-old question! 🙂  
I now understand the reasoning behind the calculator, so that question is closed, thank you!

About the numbers, tho: they still seem waaaay off to me 😬 10% inflation is way much, and then rapid drop to 5% seem way rapid. It would be an explosive inflation for few first years decreasing at speed `2000/2^(year-1)` so in year 6 it would already be `2000/2^5 = 2000/32 = 62 ADA per block` and this would only be 2025, which is not that far away. I guess ADA would cost more in 2025, but not necessarily **that** much more, and the competition would also probably get higher for pools.

In the current revision of the monetary policy - there’s no such numbers, which makes sense to me ([https://cardanodocs.com/cardano/monetary-policy/](https://cardanodocs.com/cardano/monetary-policy/)). I reckon something more smooth, like: 5% first year, 4.5% next year, 4% next year, 3.66% next year, 3.33% next year, etc. would be more suitable, but I didn’t run the math, tho 😃

* * *

UPD: math is _waaaaay_ off, since I wrongly assumed that halving would happen each year. In reality it would happen ~ each 2.5 years (3’744’961 slots, but it implies an assumtion that slot time will not change, so in reality might be way more often, if we switch, for example to a 10 second slots). That would give us inflation reduction at more conservative rate of `2000/2^((year/2.5)-1)`, so 62 ADA per block would be reached in around year 2031, not 2025. Sorry for the mistake.

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<div class="post-metadata">

**Author:** ![\_ilap](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/_ilap/32/80886_2.png) [@\_ilap](https://forum.cardano.org/u/_ilap)\
**Post date:** [12 April 2018 09:57 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/19 "2018-04-12T09:57:00Z")

</div>

Thx, it makes sense.

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<div class="post-metadata">

**Author:** ![Adafans\_io](https://sea1.discourse-cdn.com/flex023/user_avatar/forum.cardano.org/adafans_io/32/2381_2.png) [@Adafans\_io](https://forum.cardano.org/u/Adafans_io)\
**Post date:** [12 April 2018 10:00 UTC](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209/20 "2018-04-12T10:00:08Z")

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> [@vantuz-subhuman](#):
>
> I reckon something more smooth, like: 5% first year, 4.5% next year, 4% next year, 3.66% next year, 3.33% next year,

why they used 2000/1000/500 in old policy? Halving countdown for btc [http://www.bitcoinblockhalf.com/](http://www.bitcoinblockhalf.com/)

[Next page](https://forum.cardano.org/t/staking-rewards-calculator-by-dr-ichikawa/4209.md?page=2)
