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<blockquote>A fixed money supply, or a supply altered only in accord with objective and calculable criteria, is a necessary condition to a meaningful just price of money.<ref>[https://isidore.co/calibre/browse/book/5277 <i>Interest and Usury</i>] p. 220 by [https://www.jstor.org/stable/29769582 Fr. Bernard W. Dempsey, S.J.] (1903-1960); cf. John Horvat II [https://isidore.co/calibre/browse/book/5155 <i>Return to Order</i>] ch. 37 "The Backing of Money"</ref>
<p align="right">—[https://www.jstor.org/stable/29769582 Fr. Bernard W. Dempsey, S.J.] (1903-1960)</p></blockquote>


In a centralized economy, currency is issued by a central bank, at a rate  
In a centralized economy, currency is issued by a central bank at a rate that is supposed to match the growth of the amount of goods that are exchanged so that these goods can be traded with stable prices. The  
that is supposed to match the growth of the amount of physical goods that  
[[wikipedia:monetary base|monetary base]] is controlled by a central bank. In the United States, the [[wikipedia:Federal Reserve System|Fed]] increases the monetary base by issuing currency, increasing the amount banks have on reserve or by a process called [[wikipedia:Quantitative Easing|Quantitative Easing]].
are exchanged, so that these goods can be traded with stable prices. The  
<span class="plainlinks">[http://en.wikipedia.org/wiki/Money_supply money supply]</span> is controlled  
by the central bank, mostly via its interest rates. Lowering the interest
rates tends to increase the money supply ; raising them tends to decrease the money supply.


In a fully decentralized currency emission system, there is no central authority that regulates the amount of currency in
In a fully decentralized monetary system, there is no central authority that regulates the monetary base. Instead, currency is created by the nodes of a peer-to-peer network. The Bitcoin generation algorithm defines, in advance, how currency will be created and at what rate. Any currency that is generated by a malicious user that does not follow the rules will be rejected by the network and thus is worthless.
circulation. Instead, currency is created by the nodes of a peer-to-peer network. It is therefore necessary to define in advance  
how currency will be created, and to build the creation rules into the protocol used by the nodes of the network.  


==Finite supply and deflation==
==Currency with Finite Supply==
[[Image:Controlled supply-block reward halving.png|160px|thumb|right| Block reward halving]]
[[Image:Controlled supply-supply over block height.png|160px|thumb|right| Controlled supply]]
Bitcoins are created each time a user discovers a new [[block]].
The rate of block creation is adjusted every 2016 blocks to aim for a constant two week adjustment period (equivalent to 6 per hour.) The number of bitcoins generated per block is set to decrease geometrically, with a 50% reduction every 210,000 blocks, or approximately four years. The result is that the number of bitcoins in existence will not exceed slightly less than 21 million.<ref>[http://www.bitcointalk.org/index.php?topic=3366.msg47522#msg47522 21 million cap]</ref> Speculated justifications for the unintuitive value "21 million" are that it matches a 4-year reward halving schedule; or the ultimate total number of Satoshis that will be mined is close to the maximum capacity of a 64-bit floating point number. Satoshi has never really justified or explained many of these constants.


[[File:total_bitcoins_over_time_graph.png|thumb|Number of bitcoins over time]]
[[File:SupplyFormula.gif|Cumulated bitcoin supply]]


Satoshi Nakamoto's answer to this problem has been to authorize the creation of a finite
This decreasing-supply algorithm was chosen because it approximates the rate at which commodities like gold are mined. Users who use their computers to perform calculations to try and discover a block are thus called [[Mining|''Miners'']].
amount of Bitcoins. Bitcoins are created each time a user discovers a new [[block]].
The rate of block creation is set to be approximately constant over time. However, the
number of Bitcoins generated per block is set to decrease geometrically, at a rate of
approximately 50% every 4 years. The result is that the amount of Bitcoins created will
never exceed 21 million.  


A consequence of finite supply is that economic growth will cause price deflation :  
See also: http://bashco.github.io/Bitcoin_Monetary_Inflation/
the value of Bitcoins will increase when more goods and services are traded using them.


However, there are economic arguments against [[Deflationary spiral|deflation]] ;
==Projected Bitcoins Short Term ==
in particular, deflation tends to reward the people who save their coins instead
This chart shows the number of bitcoins that will exist in the near future. The ''Year'' is a forecast and may be slightly off.
of spending or investing them, and it does not favor trade and wealth redistribution.  
{| class="wikitable"
|-
!    Date reached!!Block!!Reward Era!!  BTC/block!!    Year (estimate)!!        Start BTC!!        BTC Added!!          End BTC!!    BTC Increase|| End BTC % of Limit
|-
|2009-01-03||0||1||50.00||2009||0||2625000||2625000||infinite||12.500%
|-
|2010-04-22||52500||1||50.00||2010||2625000||2625000||5250000||100.00%||25.000%
|-
|2011-01-28||105000||1||50.00||2011*||5250000||2625000||7875000||50.00%||37.500%
|-
|2011-12-14||157500||1||50.00||2012||7875000||2625000||10500000||33.33%||50.000%
|-
|[[Halving day 2012|2012-11-28]]||210000||2||25.00||2013||10500000||1312500||11812500||12.50%||56.250%
|-
|2013-10-09||262500||2||25.00||2014||11812500||1312500||13125000||11.11%||62.500%
|-
|2014-08-11||315000||2||25.00||2015||13125000||1312500||14437500||10.00%||68.750%
|-
|2015-07-29||367500||2||25.00||2016||14437500||1312500||15750000||9.09%||75.000%
|-
|2016-07-09||420000||3||12.50||2017||15750000||656250||16406250||4.17%||78.125%
|-
|2017-06-23||472500||3||12.50||2018||16406250||656250||17062500||4.00%||81.250%
|-
|2018-05-29||525000||3||12.50||2019||17062500||656250||17718750||3.85%||84.375%
|-
|2019-05-24||577500||3||12.50||2020||17718750||656250||18375000||3.70%||87.500%
|-
|2020-05-11||630000||4||6.25||2021||18375000||328125||18703125||1.79%||89.063%
|-
|2021-05-08||682500||4||6.25||2022||18703125||328125||19031250||1.75%||90.625%
|-
|2022-05-05||735000||4||6.25||2023||19031250||328125||19359375||1.72%||92.188%
|-
|2023-04-29||787500||4||6.25||2024||19359375||328125||19687500||1.69%||93.750%
|-
|2024-04-20||840000||5||3.125||2025||19687500||164062.5||19851562.5||0.83%||94.531%
|-
|||892500||5||3.125||2026||19851562.5||164062.5||20015625||0.83%||95.313%
|-
|||945000||5||3.125||2027||20015625||164062.5||20179687.5||0.82%||96.094%
|-
|||997500||5||3.125||2028||20179687.5||164062.5||20343750||0.81%||96.875%
|-
|||1050000||6||1.5625||2029||20343750||82031.25||20425781.25||0.40%||97.266%
|-
|||1102500||6||1.5625||2030||20425781.25||82031.25||20507812.5||0.40%||97.656%
|-
|||1155000||6||1.5625||2031||20507812.5||82031.25||20589843.75||0.40%||98.047%
|-
|||1207500||6||1.5625||2032||20589843.75||82031.25||20671875||0.40%||98.438%
|}
''* In Block 124724, user midnightmagic mined a solo block to himself which underpaid the reward by a single Satoshi and simultaneously destroyed the block's fees. This is one of two only known reductions in the total mined supply of Bitcoin. Therefore, from block 124724 onwards, all total supply estimates must technically be reduced by 1 Satoshi.


== Controlled inflation ==
==Projected Bitcoins Long Term ==
[[Image:Controlled supply-timeline estimation.png|160px|thumb|right| Supply timeline estimation]]
Because the number of bitcoins created each time a user discovers a new block - the block reward - is halved based on a fixed interval of blocks, and the time it takes on average to discover a block can vary based on [[mining]] power and the network [[difficulty]], the exact time when the block reward is halved can vary as well.  Consequently, the time the last Bitcoin will be created will also vary, and is subject to speculation based on assumptions.


There is no theoretical reason why a peer-to-peer and decentralized currency emission system
If the mining power had remained constant since the first Bitcoin was mined, the last Bitcoin would have been mined somewhere near October 8th, 2140.  Due to the mining power having increased overall over time, as of block 367,500 - assuming mining power remained constant from that block forward - the last Bitcoin will be mined on May 7th, 2140.
should use a limited amount of currency. Instead, the limited money supply of Bitcoin seems
to be a choice of its creator. It is not a limitation of peer-to-peer currencies.


It would be possible to create a variant of Bitcoin with a controlled inflation rate.
As it is very difficult to predict how mining power will evolve into the future - i.e. whether technological progress will continue to make hardware faster or whether mining will hit a a technological wall; or whether or not faster methods of SHA2 calculation will be discovered - putting an exact date or even year on this event is difficult.
Instead of geometrically decreasing the amount of coins attributed to new blocks, this
amount would be increased each year, at a predefined rate.


For example, if the initial value of a block is 50 coins, and if
The total number of bitcoins, as mentioned earlier, has an asymptote at 21 million, due to a side-effect of the data structure of the blockchain - specifically the integer storage type of the [[Transaction#general_format_.28inside_a_block.29_of_each_output_of_a_transaction_-_Txout|transaction output]], this exact value would have been 20,999,999.9769 bitcoin.  Should this technical limitation be adjusted by increasing the size of the field, the total number will still only approach a maximum of 21 million.
the increase rate is 2%, then the money supply would increase as
follows:


{| class="wikitable" style="text-align:right; width:80%;"
{| class="wikitable" style="text-align:right"
|year
|-
| value of new blocks
!    Block!!Reward Era!!  BTC/block!!        Start BTC!!        BTC Added!!          End BTC!!    BTC Increase|| End BTC % of Limit
| (money supply)/(new blocks per year)
|-
| money supply increase (%)
|        0||  1|| 50.00000000||        0.00000000|| 10500000.00000000|| 10500000.00000000*||        infinite||      50.00000006%
|-
|   210000||  2|| 25.00000000|| 10500000.00000000||  5250000.00000000|| 15750000.00000000||    50.00000000%||      75.00000008%
|-
|  420000||  3|| 12.50000000|| 15750000.00000000||  2625000.00000000|| 18375000.00000000||    16.66666667%||      87.50000010%
|-
|  630000||  4||  6.25000000|| 18375000.00000000||  1312500.00000000|| 19687500.00000000||    7.14285714%||      93.75000010%
|-
|  840000||  5||  3.12500000|| 19687500.00000000||  656250.00000000|| 20343750.00000000||    3.33333333%||      96.87500011%
|-
|  1050000||  6||  1.56250000|| 20343750.00000000||  328125.00000000|| 20671875.00000000||    1.61290323%||      98.43750011%
|-
|  1260000||  7||  0.78125000|| 20671875.00000000||  164062.50000000|| 20835937.50000000||    0.79365079%||      99.21875011%
|-
|  1470000||  8||  0.39062500|| 20835937.50000000||    82031.25000000|| 20917968.75000000||    0.39370079%||      99.60937511%
|-
|  1680000||  9||  0.19531250|| 20917968.75000000||    41015.62500000|| 20958984.37500000||    0.19607843%||      99.80468761%
|-
|  1890000|| 10||  0.09765625|| 20958984.37500000||    20507.81250000|| 20979492.18750000||    0.09784736%||      99.90234386%
|-
|  2100000|| 11||  0.04882812|| 20979492.18750000||    10253.90520000|| 20989746.09270000||    0.04887585%||      99.95117198%
|-
|  2310000|| 12||  0.02441406|| 20989746.09270000||    5126.95260000|| 20994873.04530000||    0.02442599%||      99.97558604%
|-
|  2520000|| 13||  0.01220703|| 20994873.04530000||    2563.47630000|| 20997436.52160000||    0.01221001%||      99.98779307%
|-
|  2730000|| 14||  0.00610351|| 20997436.52160000||    1281.73710000|| 20998718.25870000||    0.00610426%||      99.99389658%
|-
|  2940000|| 15||  0.00305175|| 20998718.25870000||      640.86750000|| 20999359.12620000||    0.00305194%||      99.99694833%
|-
|  3150000|| 16||  0.00152587|| 20999359.12620000||      320.43270000|| 20999679.55890000||    0.00152592%||      99.99847420%
|-
|  3360000|| 17||  0.00076293|| 20999679.55890000||      160.21530000|| 20999839.77420000||    0.00076294%||      99.99923713%
|-
| 3570000|| 18||  0.00038146|| 20999839.77420000||      80.10660000|| 20999919.88080000||    0.00038146%||      99.99961859%
|-
|-
|0  
| 3780000|| 19||  0.00019073|| 20999919.88080000||      40.05330000|| 20999959.93410000||     0.00019073%||       99.99980932%
| 50.00
| 50.00
| -
|-
|-
|1   
| 3990000|| 20||  0.00009536|| 20999959.93410000||      20.02560000|| 20999979.95970000||    0.00009536%||       99.99990468%
| 51.00
| 101.00
| 102.00%
|-
|-
|2   
| 4200000|| 21||  0.00004768|| 20999979.95970000||      10.01280000|| 20999989.97250000||    0.00004768%||       99.99995236%
| 52.02
| 153.02
| 51.50%
|-
|-
|3   
| 4410000|| 22||  0.00002384|| 20999989.97250000||        5.00640000|| 20999994.97890000||    0.00002384%||       99.99997620%
| 53.06
| 206.08
| 34.68%
|-
|-
| ...  
| 4620000|| 23||  0.00001192|| 20999994.97890000||        2.50320000|| 20999997.48210000||    0.00001192%||       99.99998812%
| ...
| ...
| ...
|-
|-
| 10   
| 4830000|| 24||  0.00000596|| 20999997.48210000||        1.25160000|| 20999998.73370000||    0.00000596%||       99.99999408%
| 60.95
| 608.43
| 11.13%
|-
|-
| 100
| 5040000|| 25||  0.00000298|| 20999998.73370000||        0.62580000|| 20999999.35950000||    0.00000298%||      99.99999706%
| 362.23
|-
| 15973.84
|  5250000|| 26||  0.00000149|| 20999999.35950000||        0.31290000|| 20999999.67240000||    0.00000149%||      99.99999855%
| 2.32%
|-
|  5460000|| 27||  0.00000074|| 20999999.67240000||        0.15540000|| 20999999.82780000||    0.00000074%||      99.99999929%
|-
|  5670000|| 28||  0.00000037|| 20999999.82780000||        0.07770000|| 20999999.90550000||    0.00000037%||      99.99999966%
|-
| 5880000|| 29||  0.00000018|| 20999999.90550000||        0.03780000|| 20999999.94330000||    0.00000018%||      99.99999984%
|-
| 6090000|| 30||  0.00000009|| 20999999.94330000||        0.01890000|| 20999999.96220000||    0.00000009%||      99.99999993%
|-
| 6300000|| 31||  0.00000004|| 20999999.96220000||        0.00840000|| 20999999.97060000||    0.00000004%||      99.99999997%
|-
|  6510000|| 32||  0.00000002|| 20999999.97060000||        0.00420000|| 20999999.97480000||    0.00000002%||      99.99999999%
|-
|  6720000|| 33||  0.00000001|| 20999999.97480000||        0.00210000|| 20999999.97690000||    0.00000001%||      100.00000000%
|-
|  6930000|| 34||  0.00000000|| 20999999.97690000||        0.00000000|| 20999999.97690000||    0.00000000%||      100.00000000%
|}
|}
''Note:  The number of bitcoins are presented in a floating point format. However, these values are based on the number of satoshi per block originally in integer format to prevent compounding error.''


As the money supply grows, its rate of increase will tend towards the rate used to increase
''* In block 124724, user midnightmagic solo mined a block which caused one less Satoshi to be created than would otherwise have come into existence. Therefore, all calculations from this block onwards must now, to be accurate, include this underpay in total Bitcoins in existence. Then, in an act of sheer stupidity, a more recent miner who failed to implement RSK properly destroyed an entire block reward of 12.5 XBT in block 501726.''
the value of new blocks (2% in this example). The increase of the money supply is not decided
by a central authority or government; instead it is known in advance, and economic agents can
integrate it to their expectations.


====Choice of the increase rate====
==What happens when all the bitcoins are mined?==


It is important to note that the choice of a predefined increase rate does not guarantee that  
The bitcoin inflation rate steadily trends downwards. At the time of writing, more than 3 out of every 4 bitcoins that will ever exist have already been mined, and the annual inflation rate is just 4%. The [[block]] reward given to miners is made up of newly-created bitcoins plus [[transaction fees]]. As inflation goes to zero miners will obtain an income only from transaction fees which will provide an incentive to keep mining to make transactions [[Irreversible Transactions|irreversible]].
deflation will never occur; if the economy grows faster than the money supply, price deflation
might still be observed.  


In theory, it would be possible to create several currencies with various
Due to deep technical reasons, [[Transaction_fees#The_market_for_block_space|block space is a scarce commodity]], getting a transaction mined can be seen as purchasing a portion of it. By analogy, on average every 10 minutes a fixed amount of land is created and no more, people wanting to make transactions bid for parcels of this land. The sale of this land is what supports the miners even in a zero-inflation regime. The price of this land is set by demand for transactions (because the supply is fixed and known) and the mining [[difficulty]] readjusts around this to keep the average interval at 10 minutes.
increase rates, and to let markets decide their relative values ; in practice, however, having to  
 
deal with multiple currencies might be confusing and unpractical.
==Spendable Supply==
The theoretical total number of bitcoins, slightly less than 21 million, should not be confused with the total spendable supply.  The total spendable supply is always lower than the theoretical total supply, and is subject to accidental loss, willful destruction, and technical peculiarities.
 
One way to see a part of the destruction of coin is by collecting a sum of all unspent transaction outputs, using a [[API reference (JSON-RPC)|Bitcoin RPC]] command <code>gettxoutsetinfo</code>.  The ''total_amount'' value returned is the sum of all outputs that the client deems technically spendable but not currently spent.  Note however that this does not take into account outputs that are exceedingly unlikely to be spent as is the case in loss and destruction via constructed addresses, for example.
===Miner Underpay===
 
The algorithm which decides whether a block is valid only checks to verify whether the total amount of the reward '''exceeds''' the reward plus available fees. Therefore it is possible for a miner to deliberately choose to underpay himself by any value: not only can this destroy the fees involved, but also the reward itself, which can prevent the total possible bitcoins that can come into existence from reaching its theoretical maximum. This is a form of underpay which the reference implementation recognises as impossible to spend. Some of the other types below are not recognised as officially destroying Bitcoins; it is possible for example to spend the 1BitcoinEaterAddressDontSendf59kuE if a corresponding private key is used (although this would imply that Bitcoin has been broken.)
 
===Loss of bitcoin===
Bitcoins may be lost if the conditions required to spend them are no longer known.  For example, if you made a transaction to an [[address]] that requires a private key in order to spend those bitcoins further, had written that private key down on a piece of paper, but that piece of paper was lost.  In this case, that bitcoin may also be considered lost, as the odds of randomly finding a matching private key are such that it is generally considered impossible.
 
===Willful destruction of bitcoin===
Bitcoins may also be willfully 'destroyed' - for example by attaching conditions that make it impossible to spend them.
 
A common method is to send bitcoin to an address that was constructed and only made to pass validity checks, but for which no private key is actually known.  An example of such an address is "1BitcoinEaterAddressDontSendf59kuE", where the last "f59kuE" is text to make the preceding constructed text pass validation.  Finding a matching private key is, again, generally considered impossible.  For an example of how difficult this would be, see [[Vanitygen#Use_of_vanitygen_to_try_to_attack_addresses|Vanitygen]].
 
Another common method is to send bitcoin in a transaction where the conditions for spending are not just unfathomably unlikely, but literally impossible to meet.  For example, a transaction that is made [[Script#Provably_Unspendable.2FPrunable_Outputs|provably unspendable using OP_RETURN]], or uses script operations that requires the user to prove that 1+1 equals 3.
 
A lesser known method is to send bitcoin to an address based on private key that is outside the [[Private_key#Range_of_valid_ECDSA_private_keys|range of valid ECDSA private keys]].  For example, the address 16QaFeudRUt8NYy2yzjm3BMvG4xBbAsBFM has a known matching private key of value 0 (zero), which is outside the valid range.
 
===Technical peculiarities preventing spending of bitcoin===
There are also technical peculiarities that prevent the spending of some bitcoin.
 
The first {{btc}}50, included in the [[genesis block]], cannot be spent as its transaction is not in the global database.
 
In older versions of the bitcoin reference code, a miner could make their coinbase transaction (block reward) have the exact same ID as used in a previous block<ref>https://github.com/bitcoin/bitcoin/issues/612</ref>.  This effectively caused the previous block reward to become unspendable.  Two known such cases<ref>{{cite tx|e3bf3d07d4b0375638d5f1db5255fe07ba2c4cb067cd81b84ee974b6585fb468|used in blocks 91722 and 91880}}</ref><ref>{{cite tx|d5d27987d2a3dfc724e359870c6644b40e497bdc0589a033220fe15429d88599|used in blocks 91812 and 91842}}</ref> are left as special cases in the code<ref>https://github.com/bitcoin/bitcoin/commit/ab91bf39b7c11e9c86bb2043c24f0f377f1cf514</ref> as part of [[BIP 0030]] changes that fixed this issue.  These transactions were {{btc}}50 each.
 
==Money Supply==
While the number of bitcoins in existence will never exceed slightly less than 21 million, the [[wikipedia:money supply|money supply]] of bitcoins can exceed 21 million due to [[wikipedia:Fractional-reserve banking|Fractional-reserve banking]].
 
==Deflation==
 
Because the monetary base of bitcoins cannot be expanded, the currency would be subject to severe deflation if it becomes widely used.
Keynesian economists argue that [[Deflationary spiral|deflation]] is bad for an economy because it incentivises individuals and businesses to save money rather than invest in businesses and create jobs. The [[wikipedia:Austrian school|Austrian school]] of thought counters this criticism, claiming that as deflation occurs in all stages of production, entrepreneurs who invest benefit from it. As a result, profit ratios tend to stay the same and only their magnitudes change. In other words, in a deflationary environment, goods and services decrease in price, but at the same time the cost for the production of these goods and services tend to decrease proportionally, effectively not affecting profits. Price deflation encourages an increase in hoarding &mdash; hence savings &mdash; which in turn tends to lower interest rates and increase the incentive for entrepreneurs to invest in projects of longer term.


==See also==
==See also==
*[http://www.econlib.org/library/Columns/y2006/Friedmantranscript.html Milton Friedman interview], where he proposed to replace the central bank with a computer, and to fix the money supply growth at 4% annually


[[Category:Economics]]
* [http://www.econlib.org/library/Columns/y2006/Friedmantranscript.html Milton Friedman interview], where he proposed to replace the central bank with a computer, and to fix the money supply growth at 4% annually
* [[Deflationary spiral]]
* [http://blockchain.info/charts/total-bitcoins Chart of total bitcoins in circulation]
* [[Inflation]]
* [[Prohibited changes]]
 
==References==
<references />
 
[[Category:Economics]] [[Category:Technical]]

Latest revision as of 04:37, 20 April 2024

A fixed money supply, or a supply altered only in accord with objective and calculable criteria, is a necessary condition to a meaningful just price of money.[1]

—Fr. Bernard W. Dempsey, S.J. (1903-1960)

In a centralized economy, currency is issued by a central bank at a rate that is supposed to match the growth of the amount of goods that are exchanged so that these goods can be traded with stable prices. The monetary base is controlled by a central bank. In the United States, the Fed increases the monetary base by issuing currency, increasing the amount banks have on reserve or by a process called Quantitative Easing.

In a fully decentralized monetary system, there is no central authority that regulates the monetary base. Instead, currency is created by the nodes of a peer-to-peer network. The Bitcoin generation algorithm defines, in advance, how currency will be created and at what rate. Any currency that is generated by a malicious user that does not follow the rules will be rejected by the network and thus is worthless.

Currency with Finite Supply

Block reward halving
Controlled supply

Bitcoins are created each time a user discovers a new block. The rate of block creation is adjusted every 2016 blocks to aim for a constant two week adjustment period (equivalent to 6 per hour.) The number of bitcoins generated per block is set to decrease geometrically, with a 50% reduction every 210,000 blocks, or approximately four years. The result is that the number of bitcoins in existence will not exceed slightly less than 21 million.[2] Speculated justifications for the unintuitive value "21 million" are that it matches a 4-year reward halving schedule; or the ultimate total number of Satoshis that will be mined is close to the maximum capacity of a 64-bit floating point number. Satoshi has never really justified or explained many of these constants.

Cumulated bitcoin supply

This decreasing-supply algorithm was chosen because it approximates the rate at which commodities like gold are mined. Users who use their computers to perform calculations to try and discover a block are thus called Miners.

See also: http://bashco.github.io/Bitcoin_Monetary_Inflation/

Projected Bitcoins Short Term

This chart shows the number of bitcoins that will exist in the near future. The Year is a forecast and may be slightly off.

Date reached Block Reward Era BTC/block Year (estimate) Start BTC BTC Added End BTC BTC Increase End BTC % of Limit
2009-01-03 0 1 50.00 2009 0 2625000 2625000 infinite 12.500%
2010-04-22 52500 1 50.00 2010 2625000 2625000 5250000 100.00% 25.000%
2011-01-28 105000 1 50.00 2011* 5250000 2625000 7875000 50.00% 37.500%
2011-12-14 157500 1 50.00 2012 7875000 2625000 10500000 33.33% 50.000%
2012-11-28 210000 2 25.00 2013 10500000 1312500 11812500 12.50% 56.250%
2013-10-09 262500 2 25.00 2014 11812500 1312500 13125000 11.11% 62.500%
2014-08-11 315000 2 25.00 2015 13125000 1312500 14437500 10.00% 68.750%
2015-07-29 367500 2 25.00 2016 14437500 1312500 15750000 9.09% 75.000%
2016-07-09 420000 3 12.50 2017 15750000 656250 16406250 4.17% 78.125%
2017-06-23 472500 3 12.50 2018 16406250 656250 17062500 4.00% 81.250%
2018-05-29 525000 3 12.50 2019 17062500 656250 17718750 3.85% 84.375%
2019-05-24 577500 3 12.50 2020 17718750 656250 18375000 3.70% 87.500%
2020-05-11 630000 4 6.25 2021 18375000 328125 18703125 1.79% 89.063%
2021-05-08 682500 4 6.25 2022 18703125 328125 19031250 1.75% 90.625%
2022-05-05 735000 4 6.25 2023 19031250 328125 19359375 1.72% 92.188%
2023-04-29 787500 4 6.25 2024 19359375 328125 19687500 1.69% 93.750%
2024-04-20 840000 5 3.125 2025 19687500 164062.5 19851562.5 0.83% 94.531%
892500 5 3.125 2026 19851562.5 164062.5 20015625 0.83% 95.313%
945000 5 3.125 2027 20015625 164062.5 20179687.5 0.82% 96.094%
997500 5 3.125 2028 20179687.5 164062.5 20343750 0.81% 96.875%
1050000 6 1.5625 2029 20343750 82031.25 20425781.25 0.40% 97.266%
1102500 6 1.5625 2030 20425781.25 82031.25 20507812.5 0.40% 97.656%
1155000 6 1.5625 2031 20507812.5 82031.25 20589843.75 0.40% 98.047%
1207500 6 1.5625 2032 20589843.75 82031.25 20671875 0.40% 98.438%

* In Block 124724, user midnightmagic mined a solo block to himself which underpaid the reward by a single Satoshi and simultaneously destroyed the block's fees. This is one of two only known reductions in the total mined supply of Bitcoin. Therefore, from block 124724 onwards, all total supply estimates must technically be reduced by 1 Satoshi.

Projected Bitcoins Long Term

Supply timeline estimation

Because the number of bitcoins created each time a user discovers a new block - the block reward - is halved based on a fixed interval of blocks, and the time it takes on average to discover a block can vary based on mining power and the network difficulty, the exact time when the block reward is halved can vary as well. Consequently, the time the last Bitcoin will be created will also vary, and is subject to speculation based on assumptions.

If the mining power had remained constant since the first Bitcoin was mined, the last Bitcoin would have been mined somewhere near October 8th, 2140. Due to the mining power having increased overall over time, as of block 367,500 - assuming mining power remained constant from that block forward - the last Bitcoin will be mined on May 7th, 2140.

As it is very difficult to predict how mining power will evolve into the future - i.e. whether technological progress will continue to make hardware faster or whether mining will hit a a technological wall; or whether or not faster methods of SHA2 calculation will be discovered - putting an exact date or even year on this event is difficult.

The total number of bitcoins, as mentioned earlier, has an asymptote at 21 million, due to a side-effect of the data structure of the blockchain - specifically the integer storage type of the transaction output, this exact value would have been 20,999,999.9769 bitcoin. Should this technical limitation be adjusted by increasing the size of the field, the total number will still only approach a maximum of 21 million.

Block Reward Era BTC/block Start BTC BTC Added End BTC BTC Increase End BTC % of Limit
0 1 50.00000000 0.00000000 10500000.00000000 10500000.00000000* infinite 50.00000006%
210000 2 25.00000000 10500000.00000000 5250000.00000000 15750000.00000000 50.00000000% 75.00000008%
420000 3 12.50000000 15750000.00000000 2625000.00000000 18375000.00000000 16.66666667% 87.50000010%
630000 4 6.25000000 18375000.00000000 1312500.00000000 19687500.00000000 7.14285714% 93.75000010%
840000 5 3.12500000 19687500.00000000 656250.00000000 20343750.00000000 3.33333333% 96.87500011%
1050000 6 1.56250000 20343750.00000000 328125.00000000 20671875.00000000 1.61290323% 98.43750011%
1260000 7 0.78125000 20671875.00000000 164062.50000000 20835937.50000000 0.79365079% 99.21875011%
1470000 8 0.39062500 20835937.50000000 82031.25000000 20917968.75000000 0.39370079% 99.60937511%
1680000 9 0.19531250 20917968.75000000 41015.62500000 20958984.37500000 0.19607843% 99.80468761%
1890000 10 0.09765625 20958984.37500000 20507.81250000 20979492.18750000 0.09784736% 99.90234386%
2100000 11 0.04882812 20979492.18750000 10253.90520000 20989746.09270000 0.04887585% 99.95117198%
2310000 12 0.02441406 20989746.09270000 5126.95260000 20994873.04530000 0.02442599% 99.97558604%
2520000 13 0.01220703 20994873.04530000 2563.47630000 20997436.52160000 0.01221001% 99.98779307%
2730000 14 0.00610351 20997436.52160000 1281.73710000 20998718.25870000 0.00610426% 99.99389658%
2940000 15 0.00305175 20998718.25870000 640.86750000 20999359.12620000 0.00305194% 99.99694833%
3150000 16 0.00152587 20999359.12620000 320.43270000 20999679.55890000 0.00152592% 99.99847420%
3360000 17 0.00076293 20999679.55890000 160.21530000 20999839.77420000 0.00076294% 99.99923713%
3570000 18 0.00038146 20999839.77420000 80.10660000 20999919.88080000 0.00038146% 99.99961859%
3780000 19 0.00019073 20999919.88080000 40.05330000 20999959.93410000 0.00019073% 99.99980932%
3990000 20 0.00009536 20999959.93410000 20.02560000 20999979.95970000 0.00009536% 99.99990468%
4200000 21 0.00004768 20999979.95970000 10.01280000 20999989.97250000 0.00004768% 99.99995236%
4410000 22 0.00002384 20999989.97250000 5.00640000 20999994.97890000 0.00002384% 99.99997620%
4620000 23 0.00001192 20999994.97890000 2.50320000 20999997.48210000 0.00001192% 99.99998812%
4830000 24 0.00000596 20999997.48210000 1.25160000 20999998.73370000 0.00000596% 99.99999408%
5040000 25 0.00000298 20999998.73370000 0.62580000 20999999.35950000 0.00000298% 99.99999706%
5250000 26 0.00000149 20999999.35950000 0.31290000 20999999.67240000 0.00000149% 99.99999855%
5460000 27 0.00000074 20999999.67240000 0.15540000 20999999.82780000 0.00000074% 99.99999929%
5670000 28 0.00000037 20999999.82780000 0.07770000 20999999.90550000 0.00000037% 99.99999966%
5880000 29 0.00000018 20999999.90550000 0.03780000 20999999.94330000 0.00000018% 99.99999984%
6090000 30 0.00000009 20999999.94330000 0.01890000 20999999.96220000 0.00000009% 99.99999993%
6300000 31 0.00000004 20999999.96220000 0.00840000 20999999.97060000 0.00000004% 99.99999997%
6510000 32 0.00000002 20999999.97060000 0.00420000 20999999.97480000 0.00000002% 99.99999999%
6720000 33 0.00000001 20999999.97480000 0.00210000 20999999.97690000 0.00000001% 100.00000000%
6930000 34 0.00000000 20999999.97690000 0.00000000 20999999.97690000 0.00000000% 100.00000000%

Note: The number of bitcoins are presented in a floating point format. However, these values are based on the number of satoshi per block originally in integer format to prevent compounding error.

* In block 124724, user midnightmagic solo mined a block which caused one less Satoshi to be created than would otherwise have come into existence. Therefore, all calculations from this block onwards must now, to be accurate, include this underpay in total Bitcoins in existence. Then, in an act of sheer stupidity, a more recent miner who failed to implement RSK properly destroyed an entire block reward of 12.5 XBT in block 501726.

What happens when all the bitcoins are mined?

The bitcoin inflation rate steadily trends downwards. At the time of writing, more than 3 out of every 4 bitcoins that will ever exist have already been mined, and the annual inflation rate is just 4%. The block reward given to miners is made up of newly-created bitcoins plus transaction fees. As inflation goes to zero miners will obtain an income only from transaction fees which will provide an incentive to keep mining to make transactions irreversible.

Due to deep technical reasons, block space is a scarce commodity, getting a transaction mined can be seen as purchasing a portion of it. By analogy, on average every 10 minutes a fixed amount of land is created and no more, people wanting to make transactions bid for parcels of this land. The sale of this land is what supports the miners even in a zero-inflation regime. The price of this land is set by demand for transactions (because the supply is fixed and known) and the mining difficulty readjusts around this to keep the average interval at 10 minutes.

Spendable Supply

The theoretical total number of bitcoins, slightly less than 21 million, should not be confused with the total spendable supply. The total spendable supply is always lower than the theoretical total supply, and is subject to accidental loss, willful destruction, and technical peculiarities.

One way to see a part of the destruction of coin is by collecting a sum of all unspent transaction outputs, using a Bitcoin RPC command gettxoutsetinfo. The total_amount value returned is the sum of all outputs that the client deems technically spendable but not currently spent. Note however that this does not take into account outputs that are exceedingly unlikely to be spent as is the case in loss and destruction via constructed addresses, for example.

Miner Underpay

The algorithm which decides whether a block is valid only checks to verify whether the total amount of the reward exceeds the reward plus available fees. Therefore it is possible for a miner to deliberately choose to underpay himself by any value: not only can this destroy the fees involved, but also the reward itself, which can prevent the total possible bitcoins that can come into existence from reaching its theoretical maximum. This is a form of underpay which the reference implementation recognises as impossible to spend. Some of the other types below are not recognised as officially destroying Bitcoins; it is possible for example to spend the 1BitcoinEaterAddressDontSendf59kuE if a corresponding private key is used (although this would imply that Bitcoin has been broken.)

Loss of bitcoin

Bitcoins may be lost if the conditions required to spend them are no longer known. For example, if you made a transaction to an address that requires a private key in order to spend those bitcoins further, had written that private key down on a piece of paper, but that piece of paper was lost. In this case, that bitcoin may also be considered lost, as the odds of randomly finding a matching private key are such that it is generally considered impossible.

Willful destruction of bitcoin

Bitcoins may also be willfully 'destroyed' - for example by attaching conditions that make it impossible to spend them.

A common method is to send bitcoin to an address that was constructed and only made to pass validity checks, but for which no private key is actually known. An example of such an address is "1BitcoinEaterAddressDontSendf59kuE", where the last "f59kuE" is text to make the preceding constructed text pass validation. Finding a matching private key is, again, generally considered impossible. For an example of how difficult this would be, see Vanitygen.

Another common method is to send bitcoin in a transaction where the conditions for spending are not just unfathomably unlikely, but literally impossible to meet. For example, a transaction that is made provably unspendable using OP_RETURN, or uses script operations that requires the user to prove that 1+1 equals 3.

A lesser known method is to send bitcoin to an address based on private key that is outside the range of valid ECDSA private keys. For example, the address 16QaFeudRUt8NYy2yzjm3BMvG4xBbAsBFM has a known matching private key of value 0 (zero), which is outside the valid range.

Technical peculiarities preventing spending of bitcoin

There are also technical peculiarities that prevent the spending of some bitcoin.

The first ₿50, included in the genesis block, cannot be spent as its transaction is not in the global database.

In older versions of the bitcoin reference code, a miner could make their coinbase transaction (block reward) have the exact same ID as used in a previous block[3]. This effectively caused the previous block reward to become unspendable. Two known such cases[4][5] are left as special cases in the code[6] as part of BIP 0030 changes that fixed this issue. These transactions were ₿50 each.

Money Supply

While the number of bitcoins in existence will never exceed slightly less than 21 million, the money supply of bitcoins can exceed 21 million due to Fractional-reserve banking.

Deflation

Because the monetary base of bitcoins cannot be expanded, the currency would be subject to severe deflation if it becomes widely used. Keynesian economists argue that deflation is bad for an economy because it incentivises individuals and businesses to save money rather than invest in businesses and create jobs. The Austrian school of thought counters this criticism, claiming that as deflation occurs in all stages of production, entrepreneurs who invest benefit from it. As a result, profit ratios tend to stay the same and only their magnitudes change. In other words, in a deflationary environment, goods and services decrease in price, but at the same time the cost for the production of these goods and services tend to decrease proportionally, effectively not affecting profits. Price deflation encourages an increase in hoarding — hence savings — which in turn tends to lower interest rates and increase the incentive for entrepreneurs to invest in projects of longer term.

See also

References

  1. ↑ Interest and Usury p. 220 by Fr. Bernard W. Dempsey, S.J. (1903-1960); cf. John Horvat II Return to Order ch. 37 "The Backing of Money"
  2. ↑ 21 million cap
  3. ↑ https://github.com/bitcoin/bitcoin/issues/612
  4. ↑ Transaction e3bf3d07d4b0375638d5f1db5255fe07ba2c4cb067cd81b84ee974b6585fb468 - used in blocks 91722 and 91880.
  5. ↑ Transaction d5d27987d2a3dfc724e359870c6644b40e497bdc0589a033220fe15429d88599 - used in blocks 91812 and 91842.
  6. ↑ https://github.com/bitcoin/bitcoin/commit/ab91bf39b7c11e9c86bb2043c24f0f377f1cf514
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