{"title":"Power-Law Model","source":"Computed by Black Almanak from the validated daily BTC close and a fixed power-law trend of days since the genesis block","price_source":"Coin Metrics Community Data (CC BY-NC 4.0)","history_note":"Daily history since 2010-07-18.","generated_at":"2026-10-18T09:43:28+00:00","resolution":"day","provisional_included":false,"formula":"Model = exp(5.71 x ln(days) - 38.16), where days = days since the genesis block (2009-01-03). Indicator axis: daily close / model. Coefficients from a least-squares fit of ln(close) on ln(days) over closes up to 2024-03-21 (R^2 = 0.953).","columns":[{"key":"price_to_model","name":"Price / Power-Law Model","unit":"ratio"},{"key":"power_law_price","name":"Power-Law Model","unit":"USD"},{"key":"price","name":"Bitcoin price","unit":"USD"}],"rows":[{"d":"2010-07-18","values":[0.645341,0.13301497,0.08584]},{"d":"2010-07-19","values":[0.601304,0.13437452,0.0808]},{"d":"2010-07-20","values":[0.550558,0.13574552,0.0747357288135593]},{"d":"2010-07-21","values":[0.57751,0.13712804,0.0791928626534191]},{"d":"2010-07-22","values":[0.422097,0.13852214,0.0584697603740503]},{"d":"2010-07-23","values":[0.433029,0.13992792,0.0605928696668615]},{"d":"2010-07-24","values":[0.385863,0.14134545,0.05454]},{"d":"2010-07-25","values":[0.353988,0.1427748,0.050540618351841]},{"d":"2010-07-26","values":[0.388306,0.14421606,0.056]},{"d":"2010-07-27","values":[0.402432,0.14566929,0.058622016364699]},{"d":"2010-07-28","values":[0.400389,0.14713458,0.0589110987726476]},{"d":"2010-07-29","values":[0.470352,0.14861201,0.0699]},{"d":"2010-07-30","values":[0.430757,0.15010165,0.064657381648159]},{"d":"2010-07-31","values":[0.445542,0.15160359,0.0675457989479836]},{"d":"2010-08-01","values":[0.399039,0.1531179,0.0611]},{"d":"2010-08-02","values":[0.387986,0.15464467,0.06]},{"d":"2010-08-03","values":[0.38424,0.15618397,0.0600121507890123]},{"d":"2010-08-04","values":[0.361464,0.15773589,0.0570157802454705]},{"d":"2010-08-05","values":[0.382924,0.15930051,0.061]},{"d":"2010-08-06","values":[0.383342,0.16087791,0.0616713150204559]},{"d":"2010-08-07","values":[0.363172,0.16246817,0.0590039450613676]},{"d":"2010-08-08","values":[0.37118,0.16407137,0.0609]},{"d":"2010-08-09","values":[0.424896,0.1656876,0.0704]},{"d":"2010-08-10","values":[0.414415,0.16731695,0.0693387288135593]},{"d":"2010-08-11","values":[0.396545,0.16895948,0.067]},{"d":"2010-08-12","values":[0.41028,0.17061529,0.07]},{"d":"2010-08-13","values":[0.374381,0.17228447,0.0645]},{"d":"2010-08-14","values":[0.38511,0.17396709,0.0669964336645237]},{"d":"2010-08-15","values":[0.370698,0.17566325,0.0651179322033898]},{"d":"2010-08-16","values":[0.369278,0.17737302,0.0655]},{"d":"2010-08-17","values":[0.390851,0.17909649,0.07]},{"d":"2010-08-18","values":[0.376036,0.18083376,0.068]},{"d":"2010-08-19","values":[0.365309,0.1825849,0.0667]},{"d":"2010-08-20","values":[0.355302,0.18435001,0.0655]},{"d":"2010-08-21","values":[0.356742,0.18612917,0.0664]},{"d":"2010-08-22","values":[0.350831,0.18792247,0.0659289888953828]},{"d":"2010-08-23","values":[0.342118,0.18973,0.06491]},{"d":"2010-08-24","values":[0.339334,0.19155184,0.065]},{"d":"2010-08-25","values":[0.335078,0.19338809,0.0648]},{"d":"2010-08-26","values":[0.328188,0.19523884,0.0640751139684395]},{"d":"2010-08-27","values":[0.329775,0.19710417,0.065]},{"d":"2010-08-28","values":[0.324649,0.19898417,0.0646]},{"d":"2010-08-29","values":[0.3186,0.20087895,0.064]},{"d":"2010-08-30","values":[0.320383,0.20278858,0.06497]},{"d":"2010-08-31","values":[0.293093,0.20471316,0.06]},{"d":"2010-09-01","values":[0.30014,0.20665278,0.0620248275862069]},{"d":"2010-09-02","values":[0.30392,0.20860754,0.0634]},{"d":"2010-09-03","values":[0.288967,0.21057752,0.06085]},{"d":"2010-09-04","values":[0.292517,0.21256282,0.062178275862069]},{"d":"2010-09-05","values":[0.287327,0.21456354,0.06165]},{"d":"2010-09-06","values":[0.284422,0.21657977,0.0616]},{"d":"2010-09-07","values":[0.280127,0.21861159,0.0612391180596142]},{"d":"2010-09-08","values":[0.276445,0.22065912,0.061]},{"d":"2010-09-09","values":[0.2744,0.22272244,0.0611149707773232]},{"d":"2010-09-10","values":[0.271402,0.22480164,0.0610115242548218]},{"d":"2010-09-11","values":[0.280396,0.22689683,0.0636208649912332]},{"d":"2010-09-12","values":[0.268549,0.22900811,0.0615]},{"d":"2010-09-13","values":[0.26902,0.23113556,0.06218]},{"d":"2010-09-14","values":[0.265733,0.23327929,0.06199]},{"d":"2010-09-15","values":[0.256542,0.23543939,0.0604]},{"d":"2010-09-16","values":[0.260504,0.23761596,0.0619]},{"d":"2010-09-17","values":[0.250201,0.2398091,0.0600005260081823]},{"d":"2010-09-18","values":[0.252046,0.24201892,0.061]},{"d":"2010-09-19","values":[0.256709,0.2442455,0.0627]},{"d":"2010-09-20","values":[0.251945,0.24648896,0.0621017358270018]},{"d":"2010-09-21","values":[0.25186,0.24874938,0.06265]},{"d":"2010-09-22","values":[0.246515,0.25102688,0.061881870251315]},{"d":"2010-09-23","values":[0.245354,0.25332155,0.062153512565751]},{"d":"2010-09-24","values":[0.243317,0.25563349,0.0622]},{"d":"2010-09-25","values":[0.240422,0.25796282,0.06202]},{"d":"2010-09-26","values":[0.238178,0.26030962,0.062]},{"d":"2010-09-27","values":[0.236797,0.262674,0.0622004418468732]},{"d":"2010-09-28","values":[0.23355,0.26505607,0.0619038977206312]},{"d":"2010-09-29","values":[0.231477,0.26745593,0.06191]},{"d":"2010-09-30","values":[0.229367,0.26987369,0.0619]},{"d":"2010-10-01","values":[0.227584,0.27230944,0.0619733138515488]},{"d":"2010-10-02","values":[0.223465,0.2747633,0.0614]},{"d":"2010-10-03","values":[0.220264,0.27723538,0.0610648684979544]},{"d":"2010-10-04","values":[0.219123,0.27972577,0.0612944769140853]},{"d":"2010-10-05","values":[0.21755,0.28223458,0.0614]},{"d":"2010-10-06","values":[0.22057,0.28476192,0.06281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