Staking Economics - NuCypher Inflation Model
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ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAEAFAGAHAIAJAKALAMANAOAPAQARASATAUAVAWAXAYAZBABBBCBDBEBFBGBHBIBJBK
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Staking on NuCypher Network - Pro Forma
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NETWORK ASSUMPTIONS
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Initial Token Supply (S0)1,000,000,000
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Max Tokens (~3.89*S0) (Smax)3,885,390,082
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Baseline monthly inflation (I0)8%
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Half-life in months (T-1/2)24
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Mean compensation rate on network (κ*)100%
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Percentage of network tokens staked (λ)60%
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NODE OPERATOR ASSUMPTIONS
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Initial number of tokens purchased (arbitrary, no relation to min. staking requirement)
1,000,000
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Commited staking time in months60
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Percentage of tokens staked100%
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SUPPLY CURVE
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days since network launch03061921201511812122422733043343653954264574865175475786086396707007317617928238518829129439731004103510651096112611571188121612471277130813381369140014301461149115221553158116121642167317031734176517951826
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Month 0Month 1Month 2Month 3Month 4Month 5Month 6Month 7Month 8Month 9Month 10Month 11Month 12Month 13Month 14Month 15Month 16Month 17Month 18Month 19Month 20Month 21Month 22Month 23Month 24Month 25Month 26Month 27Month 28Month 29Month 30Month 31Month 32Month 33Month 34Month 35Month 36Month 37Month 38Month 39Month 40Month 41Month 42Month 43Month 44Month 45Month 46Month 47Month 48Month 49Month 50Month 51Month 52Month 53Month 54Month 55Month 56Month 57Month 58Month 59Month 60
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Total supply (end of month)1,000,000,0001,081,032,1801,162,375,4601,241,359,2951,310,728,5051,385,409,2071,455,617,7051,526,095,7471,592,353,2571,658,865,1441,723,447,7861,784,162,9381,845,111,1891,902,409,5931,959,927,9782,015,777,9832,066,557,2542,119,314,3672,168,912,1562,218,700,3602,265,507,0302,312,493,4012,358,116,8842,401,008,2342,444,064,2542,484,541,8922,525,174,9312,564,629,3682,599,281,0552,636,585,9682,671,656,9002,706,862,4772,739,959,7912,773,184,1732,805,444,8472,835,773,6122,866,218,8152,894,840,8272,923,572,7252,951,471,2252,975,973,6683,002,352,2253,027,151,1193,052,045,2213,075,448,5563,098,941,7413,121,753,4833,143,199,1583,164,727,1683,184,965,9873,205,282,5073,225,009,7253,242,335,5693,260,988,0253,278,523,4913,296,126,2803,312,674,9373,329,287,1273,345,417,4643,360,581,8473,375,804,448
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Tokens minted81,032,18081,343,28078,983,83469,369,21174,680,70270,208,49770,478,04266,257,51166,511,88764,582,64160,715,15260,948,25057,298,40457,518,38555,850,00550,779,27252,757,11349,597,78849,788,20446,806,67046,986,37145,623,48342,891,35143,056,01940,477,63840,633,04039,454,43734,651,68737,304,91335,070,93235,205,57733,097,31433,224,38132,260,67430,328,76530,445,20328,622,01228,731,89827,898,50024,502,44326,378,55724,798,89424,894,10223,403,33523,493,18522,811,74121,445,67521,528,01020,238,81920,316,52019,727,21817,325,84418,652,45617,535,46617,602,78816,548,65716,612,19116,130,33715,164,38215,222,602
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monthly inflation rate8.10%7.52%6.80%5.59%5.70%5.07%4.84%4.34%4.18%3.89%3.52%3.42%3.11%3.02%2.85%2.52%2.55%2.34%2.30%2.11%2.07%1.97%1.82%1.79%1.66%1.64%1.56%1.35%1.44%1.33%1.32%1.22%1.21%1.16%1.08%1.07%1.00%0.99%0.95%0.83%0.89%0.83%0.82%0.77%0.76%0.74%0.69%0.68%0.64%0.64%0.62%0.54%0.58%0.54%0.54%0.50%0.50%0.48%0.45%0.45%
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Tokens staked on network (L)600,000,000648,619,308697,425,276744,815,577786,437,103831,245,524873,370,623915,657,448955,411,954995,319,0871,034,068,6721,070,497,7631,107,066,7131,141,445,7561,175,956,7871,209,466,7901,239,934,3521,271,588,6201,301,347,2931,331,220,2161,359,304,2181,387,496,0411,414,870,1301,440,604,9411,466,438,5521,490,725,1351,515,104,9591,538,777,6211,559,568,6331,581,951,5811,602,994,1401,624,117,4861,643,975,8751,663,910,5041,683,266,9081,701,464,1671,719,731,2891,736,904,4961,754,143,6351,770,882,7351,785,584,2011,801,411,3351,816,290,6711,831,227,1321,845,269,1341,859,365,0451,873,052,0901,885,919,4951,898,836,3011,910,979,5921,923,169,5041,935,005,8351,945,401,3411,956,592,8151,967,114,0951,977,675,7681,987,604,9621,997,572,2762,007,250,4792,016,349,1082,025,482,669
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Scenario 1: Node earnings assuming NO restaking
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Month 0Month 1Month 2Month 3Month 4Month 5Month 6Month 7Month 8Month 9Month 10Month 11Month 12Month 13Month 14Month 15Month 16Month 17Month 18Month 19Month 20Month 21Month 22Month 23Month 24Month 25Month 26Month 27Month 28Month 29Month 30Month 31Month 32Month 33Month 34Month 35Month 36Month 37Month 38Month 39Month 40Month 41Month 42Month 43Month 44Month 45Month 46Month 47Month 48Month 49Month 50Month 51Month 52Month 53Month 54Month 55Month 56Month 57Month 58Month 59Month 60
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Tokens staked by node1,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,0001,000,000
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% tokens staked100%100%88%80%73%69%65%61%59%56%54%52%51%49%48%47%46%45%44%44%43%42%42%41%41%40%40%39%39%39%38%38%38%37%37%37%37%36%36%36%36%35%35%35%35%35%35%34%34%34%34%34%34%34%34%34%34%33%33%33%33%
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% of staked network represented by node0.15%0.14%0.13%0.13%0.12%0.11%0.11%0.10%0.10%0.10%0.09%0.09%0.09%0.09%0.08%0.08%0.08%0.08%0.08%0.07%0.07%0.07%0.07%0.07%0.07%0.07%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.06%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%
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% of network owned by node0.10%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.11%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.10%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%0.09%
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% of network staked by node0.09%0.09%0.08%0.08%0.07%0.07%0.07%0.06%0.06%0.06%0.06%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.05%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.04%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%0.03%
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Node compensation rate (k)100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%95.83%91.67%87.50%83.33%79.17%75.00%70.83%66.67%62.50%58.33%54.17%50.00%
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Cumulative compensation (NU)130,091251,206360,943451,701544,182626,680705,582776,500844,778908,503966,2681,022,3081,073,3281,123,0201,169,8921,211,3951,253,4461,292,0341,329,8931,364,7161,398,9571,431,5441,461,6101,491,2551,518,6521,545,7091,571,5671,593,9511,617,7181,639,7561,661,5901,681,8591,701,9611,721,2501,739,1831,756,9931,773,5641,790,0351,805,8741,819,6611,834,3781,848,0971,861,7551,874,4941,887,1851,899,4161,910,8331,922,2161,932,6221,942,5591,951,7131,959,3461,967,1301,974,0351,980,5561,986,3061,991,7001,996,5702,000,8122,004,736
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Monthly compensation (NU)130,091121,115109,73790,75892,48182,49878,90170,91868,27963,72557,76556,04151,02049,69246,87341,50242,05138,58837,85834,82434,24032,58730,06629,64527,39727,05725,85822,38423,76722,03921,83420,26920,10219,28917,93317,81016,57116,47115,83913,78814,71713,71813,65812,73912,69112,23111,41711,38310,4069,9379,1547,6327,7856,9056,5215,7505,3954,8704,2423,924
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Monthly compensation on staked tokens (%)
13.0%12.1%11.0%9.1%9.2%8.2%7.9%7.1%6.8%6.4%5.8%5.6%5.1%5.0%4.7%4.2%4.2%3.9%3.8%3.5%3.4%3.3%3.0%3.0%2.7%2.7%2.6%2.2%2.4%2.2%2.2%2.0%2.0%1.9%1.8%1.8%1.7%1.6%1.6%1.4%1.5%1.4%1.4%1.3%1.3%1.2%1.1%1.1%1.0%1.0%0.9%0.8%0.8%0.7%0.7%0.6%0.5%0.5%0.4%0.4%
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Tokens owned by node (end of month)1,000,0001,130,0911,251,2061,360,9431,451,7011,544,1821,626,6801,705,5821,776,5001,844,7781,908,5031,966,2682,022,3082,073,3282,123,0202,169,8922,211,3952,253,4462,292,0342,329,8932,364,7162,398,9572,431,5442,461,6102,491,2552,518,6522,545,7092,571,5672,593,9512,617,7182,639,7562,661,5902,681,8592,701,9612,721,2502,739,1832,756,9932,773,5642,790,0352,805,8742,819,6612,834,3782,848,0972,861,7552,874,4942,887,1852,899,4162,910,8332,922,2162,932,6222,942,5592,951,7132,959,3462,967,1302,974,0352,980,5562,986,3062,991,7002,996,5703,000,8123,004,736
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Cumulative compensation on total initial tokens (%)
13.0%25.1%36.1%45.2%54.4%62.7%70.6%77.6%84.5%90.9%96.6%102.2%107.3%112.3%117.0%121.1%125.3%129.2%133.0%136.5%139.9%143.2%146.2%149.1%151.9%154.6%157.2%159.4%161.8%164.0%166.2%168.2%170.2%172.1%173.9%175.7%177.4%179.0%180.6%182.0%183.4%184.8%186.2%187.4%188.7%189.9%191.1%192.2%193.3%194.3%195.2%195.9%196.7%197.4%198.1%198.6%199.2%199.7%200.1%200.5%
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Scenario 2: Node earnings assuming restaking
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Month 0Month 1Month 2Month 3Month 4Month 5Month 6Month 7Month 8Month 9Month 10Month 11Month 12Month 13Month 14Month 15Month 16Month 17Month 18Month 19Month 20Month 21Month 22Month 23Month 24Month 25Month 26Month 27Month 28Month 29Month 30Month 31Month 32Month 33Month 34Month 35Month 36Month 37Month 38Month 39Month 40Month 41Month 42Month 43Month 44Month 45Month 46Month 47Month 48Month 49Month 50Month 51Month 52Month 53Month 54Month 55Month 56Month 57Month 58Month 59Month 60
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Tokens staked by node (beginning of month)
1,000,0001,000,0001,138,6121,284,9101,433,6621,569,6351,721,4821,869,3132,022,5762,171,0392,324,2782,477,0512,624,2062,775,3262,920,4703,069,1373,216,3063,352,5003,496,3833,633,8503,773,9713,907,6304,043,6704,177,5424,304,9854,434,4554,557,5694,682,5094,805,1174,913,8455,031,9845,144,0715,257,5815,365,1965,474,1015,580,6855,681,6345,783,6995,880,3155,977,9456,073,3586,157,6556,248,9266,335,2216,422,3236,504,6436,587,7016,668,7536,745,3136,822,5186,893,8746,962,7087,026,7297,080,5587,135,8887,185,3227,232,3257,274,0257,313,3677,349,0687,380,306
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% tokens staked100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%100%
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% of staked network represented by node0.15%0.16%0.17%0.18%0.19%0.20%0.20%0.21%0.22%0.22%0.23%0.24%0.24%0.25%0.25%0.26%0.26%0.27%0.27%0.28%0.28%0.29%0.29%0.29%0.30%0.30%0.30%0.31%0.31%0.31%0.32%0.32%0.32%0.33%0.33%0.33%0.33%0.34%0.34%0.34%0.34%0.34%0.35%0.35%0.35%0.35%0.35%0.36%0.36%0.36%0.36%0.36%0.36%0.36%0.36%0.36%0.36%0.36%0.36%0.36%
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% of network owned by node0.11%0.11%0.12%0.12%0.12%0.13%0.13%0.14%0.14%0.14%0.15%0.15%0.15%0.16%0.16%0.16%0.16%0.17%0.17%0.17%0.17%0.18%0.18%0.18%0.18%0.19%0.19%0.19%0.19%0.19%0.19%0.20%0.20%0.20%0.20%0.20%0.20%0.20%0.21%0.21%0.21%0.21%0.21%0.21%0.21%0.21%0.21%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%
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% of network staked by node0.09%0.10%0.10%0.11%0.11%0.12%0.12%0.13%0.13%0.13%0.14%0.14%0.15%0.15%0.15%0.16%0.16%0.16%0.16%0.17%0.17%0.17%0.17%0.18%0.18%0.18%0.18%0.18%0.19%0.19%0.19%0.19%0.19%0.20%0.20%0.20%0.20%0.20%0.20%0.20%0.21%0.21%0.21%0.21%0.21%0.21%0.21%0.21%0.21%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%0.22%
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Node compensation rate (k)100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%100.00%95.83%91.67%87.50%83.33%79.17%75.00%70.83%66.67%62.50%58.33%54.17%50.00%
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Cumulative compensation (NU)138,612284,910433,662569,635721,482869,3131,022,5761,171,0391,324,2781,477,0511,624,2061,775,3261,920,4702,069,1372,216,3062,352,5002,496,3832,633,8502,773,9712,907,6303,043,6703,177,5423,304,9853,434,4553,557,5693,682,5093,805,1173,913,8454,031,9844,144,0714,257,5814,365,1964,474,1014,580,6854,681,6344,783,6994,880,3154,977,9455,073,3585,157,6555,248,9265,335,2215,422,3235,504,6435,587,7015,668,7535,745,3135,822,5185,893,8745,962,7086,026,7296,080,5586,135,8886,185,3226,232,3256,274,0256,313,3676,349,0686,380,3066,409,322
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Monthly compensation (NU)138,612146,298148,752135,973151,848147,831153,263148,463153,239152,773147,154151,120145,144148,667147,169136,193143,884137,467140,121133,660136,040133,872127,443129,470123,114124,941122,608108,728118,139112,087113,510107,615108,905106,583100,950102,06596,61597,63095,41384,29791,27186,29587,10282,32083,05881,05276,56077,20571,35668,83564,02053,82955,33049,43547,00341,70039,34235,70131,23829,016
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Monthly compensation on staked tokens (%)
13.9%14.6%13.1%10.6%10.6%9.4%8.9%7.9%7.6%7.0%6.3%6.1%5.5%5.4%5.0%4.4%4.5%4.1%4.0%3.7%3.6%3.4%3.2%3.1%2.9%2.8%2.7%2.3%2.5%2.3%2.3%2.1%2.1%2.0%1.8%1.8%1.7%1.7%1.6%1.4%1.5%1.4%1.4%1.3%1.3%1.2%1.2%1.2%1.1%1.0%0.9%0.8%0.8%0.7%0.7%0.6%0.5%0.5%0.4%0.4%
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Tokens owned by node (end of month)1,000,0001,138,6121,284,9101,433,6621,569,6351,721,4821,869,3132,022,5762,171,0392,324,2782,477,0512,624,2062,775,3262,920,4703,069,1373,216,3063,352,5003,496,3833,633,8503,773,9713,907,6304,043,6704,177,5424,304,9854,434,4554,557,5694,682,5094,805,1174,913,8455,031,9845,144,0715,257,5815,365,1965,474,1015,580,6855,681,6345,783,6995,880,3155,977,9456,073,3586,157,6556,248,9266,335,2216,422,3236,504,6436,587,7016,668,7536,745,3136,822,5186,893,8746,962,7087,026,7297,080,5587,135,8887,185,3227,232,3257,274,0257,313,3677,349,0687,380,3067,409,322
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Cumulative compensation on total initial tokens (%)
13.9%28.5%43.4%57.0%72.1%86.9%102.3%117.1%132.4%147.7%162.4%177.5%192.0%206.9%221.6%235.2%249.6%263.4%277.4%290.8%304.4%317.8%330.5%343.4%355.8%368.3%380.5%391.4%403.2%414.4%425.8%436.5%447.4%458.1%468.2%478.4%488.0%497.8%507.3%515.8%524.9%533.5%542.2%550.5%558.8%566.9%574.5%582.3%589.4%596.3%602.7%608.1%613.6%618.5%623.2%627.4%631.3%634.9%638.0%640.9%
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