Controlled supply: Difference between revisions
Added possible justifications for the 21 million Bitcoin cap |
Put the graph back in. How is this misleading? Please comment on the discussion page. |
||
Line 5: | Line 5: | ||
==Currency with Finite Supply== | ==Currency with Finite Supply== | ||
[[File:total_bitcoins_over_time_graph.png|thumb|Number of bitcoins over time]] | |||
Bitcoins are created each time a user discovers a new [[block]]. | Bitcoins are created each time a user discovers a new [[block]]. |
Revision as of 21:13, 8 July 2014
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, and more recently, printing money electronically in 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
Bitcoins are created each time a user discovers a new block. The rate of block creation is approximately constant over time: 6 per hour. The number of Bitcoins generated per block is set to decrease geometrically, with a 50% reduction every 4 years. The result is that the number of Bitcoins in existence will never exceed 21 million[1]. This algorithm was chosen because it approximates the rate at which commodities like gold are mined. Possible justifications for the value 21 million are that it matches a 4-year reward halving schedule or that 2.1*10^15 (the maximum number of Satoshis) is close to the maximum exact capacity of a 64-bit floating point number. Users who use their computers to perform calculations to try and discover a block are thus called Miners.
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.
Block | Reward Era | BTC/block | Year | Start BTC | BTC Added | End BTC | BTC Increase | End BTC % of Limit |
---|---|---|---|---|---|---|---|---|
0 | 1 | 50.00 | 2009 | 0 | 2625000 | 2625000 | infinite | 12.500% |
52500 | 1 | 50.00 | 2010 | 2625000 | 2625000 | 5250000 | 100.00% | 25.000% |
105000 | 1 | 50.00 | 2011 | 5250000 | 2625000 | 7875000 | 50.00% | 37.500% |
157500 | 1 | 50.00 | 2012 | 7875000 | 2625000 | 10500000 | 33.33% | 50.000% |
210000 | 2 | 25.00 | 2013 | 10500000 | 1312500 | 11812500 | 12.50% | 56.250% |
262500 | 2 | 25.00 | 2014 | 11812500 | 1312500 | 13125000 | 11.11% | 62.500% |
315000 | 2 | 25.00 | 2015 | 13125000 | 1312500 | 14437500 | 10.00% | 68.750% |
367500 | 2 | 25.00 | 2016 | 14437500 | 1312500 | 15750000 | 9.09% | 75.000% |
420000 | 3 | 12.50 | 2017 | 15750000 | 656250 | 16406250 | 4.17% | 78.125% |
472500 | 3 | 12.50 | 2018 | 16406250 | 656250 | 17062500 | 4.00% | 81.250% |
525000 | 3 | 12.50 | 2019 | 17062500 | 656250 | 17718750 | 3.85% | 84.375% |
577500 | 3 | 12.50 | 2020 | 17718750 | 656250 | 18375000 | 3.70% | 87.500% |
630000 | 4 | 6.25 | 2021 | 18375000 | 328125 | 18703125 | 1.79% | 89.063% |
682500 | 4 | 6.25 | 2022 | 18703125 | 328125 | 19031250 | 1.75% | 90.625% |
735000 | 4 | 6.25 | 2023 | 19031250 | 328125 | 19359375 | 1.72% | 92.188% |
787500 | 4 | 6.25 | 2024 | 19359375 | 328125 | 19687500 | 1.69% | 93.750% |
Projected Bitcoins Long Term
Block | Reward Era | BTC/block | Year | Start BTC | BTC Added | End BTC | BTC Increase | End BTC % of Limit |
---|---|---|---|---|---|---|---|---|
0 | 1 | 50.00000000 | 2009.007 | 0.00000000 | 10500000.00000000 | 10500000.00000000 | infinite | 50.00000006% |
210000 | 2 | 25.00000000 | 2013.000 | 10500000.00000000 | 5250000.00000000 | 15750000.00000000 | 50.00000000% | 75.00000008% |
420000 | 3 | 12.50000000 | 2016.993 | 15750000.00000000 | 2625000.00000000 | 18375000.00000000 | 16.66666667% | 87.50000010% |
630000 | 4 | 6.25000000 | 2020.986 | 18375000.00000000 | 1312500.00000000 | 19687500.00000000 | 7.14285714% | 93.75000010% |
840000 | 5 | 3.12500000 | 2024.978 | 19687500.00000000 | 656250.00000000 | 20343750.00000000 | 3.33333333% | 96.87500011% |
1050000 | 6 | 1.56250000 | 2028.971 | 20343750.00000000 | 328125.00000000 | 20671875.00000000 | 1.61290323% | 98.43750011% |
1260000 | 7 | 0.78125000 | 2032.964 | 20671875.00000000 | 164062.50000000 | 20835937.50000000 | 0.79365079% | 99.21875011% |
1470000 | 8 | 0.39062500 | 2036.956 | 20835937.50000000 | 82031.25000000 | 20917968.75000000 | 0.39370079% | 99.60937511% |
1680000 | 9 | 0.19531250 | 2040.949 | 20917968.75000000 | 41015.62500000 | 20958984.37500000 | 0.19607843% | 99.80468761% |
1890000 | 10 | 0.09765625 | 2044.942 | 20958984.37500000 | 20507.81250000 | 20979492.18750000 | 0.09784736% | 99.90234386% |
2100000 | 11 | 0.04882812 | 2048.934 | 20979492.18750000 | 10253.90520000 | 20989746.09270000 | 0.04887585% | 99.95117198% |
2310000 | 12 | 0.02441406 | 2052.927 | 20989746.09270000 | 5126.95260000 | 20994873.04530000 | 0.02442599% | 99.97558604% |
2520000 | 13 | 0.01220703 | 2056.920 | 20994873.04530000 | 2563.47630000 | 20997436.52160000 | 0.01221001% | 99.98779307% |
2730000 | 14 | 0.00610351 | 2060.913 | 20997436.52160000 | 1281.73710000 | 20998718.25870000 | 0.00610426% | 99.99389658% |
2940000 | 15 | 0.00305175 | 2064.905 | 20998718.25870000 | 640.86750000 | 20999359.12620000 | 0.00305194% | 99.99694833% |
3150000 | 16 | 0.00152587 | 2068.898 | 20999359.12620000 | 320.43270000 | 20999679.55890000 | 0.00152592% | 99.99847420% |
3360000 | 17 | 0.00076293 | 2072.891 | 20999679.55890000 | 160.21530000 | 20999839.77420000 | 0.00076294% | 99.99923713% |
3570000 | 18 | 0.00038146 | 2076.883 | 20999839.77420000 | 80.10660000 | 20999919.88080001 | 0.00038146% | 99.99961859% |
3780000 | 19 | 0.00019073 | 2080.876 | 20999919.88080001 | 40.05330000 | 20999959.93410001 | 0.00019073% | 99.99980932% |
3990000 | 20 | 0.00009536 | 2084.869 | 20999959.93410001 | 20.02560000 | 20999979.95970001 | 0.00009536% | 99.99990468% |
4200000 | 21 | 0.00004768 | 2088.861 | 20999979.95970001 | 10.01280000 | 20999989.97250001 | 0.00004768% | 99.99995236% |
4410000 | 22 | 0.00002384 | 2092.854 | 20999989.97250001 | 5.00640000 | 20999994.97890001 | 0.00002384% | 99.99997620% |
4620000 | 23 | 0.00001192 | 2096.847 | 20999994.97890001 | 2.50320000 | 20999997.48210001 | 0.00001192% | 99.99998812% |
4830000 | 24 | 0.00000596 | 2100.840 | 20999997.48210001 | 1.25160000 | 20999998.73370001 | 0.00000596% | 99.99999408% |
5040000 | 25 | 0.00000298 | 2104.832 | 20999998.73370001 | 0.62580000 | 20999999.35950001 | 0.00000298% | 99.99999706% |
5250000 | 26 | 0.00000149 | 2108.825 | 20999999.35950001 | 0.31290000 | 20999999.67240001 | 0.00000149% | 99.99999855% |
5460000 | 27 | 0.00000074 | 2112.818 | 20999999.67240001 | 0.15540000 | 20999999.82780001 | 0.00000074% | 99.99999929% |
5670000 | 28 | 0.00000037 | 2116.810 | 20999999.82780001 | 0.07770000 | 20999999.90550001 | 0.00000037% | 99.99999966% |
5880000 | 29 | 0.00000018 | 2120.803 | 20999999.90550001 | 0.03780000 | 20999999.94330001 | 0.00000018% | 99.99999984% |
6090000 | 30 | 0.00000009 | 2124.796 | 20999999.94330001 | 0.01890000 | 20999999.96220000 | 0.00000009% | 99.99999993% |
6300000 | 31 | 0.00000004 | 2128.788 | 20999999.96220000 | 0.00840000 | 20999999.97060001 | 0.00000004% | 99.99999997% |
6510000 | 32 | 0.00000002 | 2132.781 | 20999999.97060001 | 0.00420000 | 20999999.97480001 | 0.00000002% | 99.99999999% |
6720000 | 33 | 0.00000001 | 2136.774 | 20999999.97480001 | 0.00210000 | 20999999.97690000 | 0.00000001% | 100.00000000% |
6930000 | 34 | 0.00000000 | 2140.767 | 20999999.97690000 | 0.00000000 | 20999999.97690000 | 0.00000000% | 100.00000000% |
Money Supply
While the number of bitcoins in existence will never exceed 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
- 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
- Chart of total bitcoins in circulation