{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Mining Economics\n",
        "\n",
        "*Last modified: November 11, 2026*\n",
        "\n",
        "Bitcoin miners are paid in newly created bitcoin and in transaction\n",
        "fees, and roughly every four years the protocol halves the new bitcoin\n",
        "in each block. This notebook uses daily data on the Bitcoin network\n",
        "since 2012 to see what the halvings do to miners’ revenue and to the\n",
        "computing power securing the network, how much of miners’ pay comes from\n",
        "fees, and how large the budget for security is compared with the value\n",
        "it protects. The notes on [hashing and proof of\n",
        "work](../notes/proof-of-work.qmd) explain the background.\n",
        "\n",
        "## Packages and data\n",
        "\n",
        "The charts on\n",
        "[Blockchain.com](https://www.blockchain.com/explorer/charts) can be\n",
        "downloaded through a free interface without an account. The function\n",
        "below downloads one chart’s full daily history and caches it. Some\n",
        "charts are recorded several times a day, so we average them by calendar\n",
        "day."
      ],
      "id": "8b23a5dd-f252-4570-a825-64287c508efc"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "from pathlib import Path\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "import requests\n",
        "\n",
        "DATA = Path(\"../_data\") if Path(\"../_data\").exists() else Path(\"data\")\n",
        "\n",
        "def blockchain_chart(name):\n",
        "    file = DATA / f\"blockchain_{name}.parquet\"\n",
        "    if not file.exists():\n",
        "        url = f\"https://api.blockchain.info/charts/{name}?timespan=all&sampled=false&format=json\"\n",
        "        response = requests.get(url, headers={\"User-Agent\": \"FIN 4506 course notebook\"},\n",
        "                                timeout=60)\n",
        "        response.raise_for_status()   # stop with a clear error if the site refuses\n",
        "        values = response.json()[\"values\"]\n",
        "        series = pd.Series([v[\"y\"] for v in values],\n",
        "                           index=pd.to_datetime([v[\"x\"] for v in values], unit=\"s\"))\n",
        "        DATA.mkdir(exist_ok=True)\n",
        "        series.groupby(series.index.normalize()).mean().rename(name).to_frame().to_parquet(file)\n",
        "    return pd.read_parquet(file)[name]"
      ],
      "id": "4ac9a1be"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We need four daily series: miners’ total revenue in dollars, the part of\n",
        "it that comes from fees, the network’s hash rate in trillions of hashes\n",
        "per second (TH/s), and Bitcoin’s market value."
      ],
      "id": "f7ae5034-d4bf-4d99-a27f-542c33e8ee52"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "btc = pd.concat([blockchain_chart(name) for name in\n",
        "                 [\"miners-revenue\", \"transaction-fees-usd\", \"hash-rate\", \"market-cap\"]],\n",
        "                axis=1, sort=True).dropna().loc[\"2012\":]\n",
        "btc.columns = [\"revenue\", \"fees\", \"hash_rate\", \"market_cap\"]\n",
        "btc[\"hash_rate\"] = btc[\"hash_rate\"] / 1e6   # exahashes per second (EH/s)\n",
        "btc.tail()"
      ],
      "id": "b69d7a90"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The four halvings so far:"
      ],
      "id": "b47269fa-6350-49ee-86bb-4c49a28f2e73"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "halvings = pd.to_datetime([\"2012-11-28\", \"2016-07-09\", \"2020-05-11\", \"2024-04-20\"])"
      ],
      "id": "e5016aeb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## The computing power securing the network"
      ],
      "id": "10f11967-9bf3-462d-8e43-c79965bd3ede"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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F4pvRJ0+e4NGjR1yXYfLEYjHOnTtHHwqEskB0Qnkh+qLsEBWLPk0/d+5c/PnnnyguLka/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\nIYQQzvwfrbw4X/W2cg8AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "btc[\"hash_rate\"].plot(ax=ax, logy=True, lw=0.8)\n",
        "for h in halvings:\n",
        "    ax.axvline(h, color=\"0.5\", ls=\":\", lw=1)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Hash rate (EH/s, log scale)\")\n",
        "ax.set_title(\"Bitcoin hash rate, with the halvings\")\n",
        "plt.show()"
      ],
      "id": "2b46c1e8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The hash rate has grown by many orders of magnitude, as mining moved\n",
        "from ordinary computers to chips built for nothing but SHA-256.\n",
        "Bitcoin’s difficulty adjustment absorbs that growth: more computing\n",
        "power makes blocks harder to find, so a block still arrives about every\n",
        "ten minutes.\n",
        "\n",
        "## What a halving does\n",
        "\n",
        "Compare the 30 days before each halving with the 30 days after."
      ],
      "id": "e206fbd1-a0fd-4254-9d5b-b741a26988fa"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<style type=\"text/css\">\n",
              "</style>\n"
            ]
          }
        }
      ],
      "source": [
        "rows = []\n",
        "for h in halvings:\n",
        "    before = btc.loc[h - pd.Timedelta(days=30):h - pd.Timedelta(days=1)].mean()\n",
        "    after = btc.loc[h + pd.Timedelta(days=1):h + pd.Timedelta(days=30)].mean()\n",
        "    rows.append({\"halving\": h.date(),\n",
        "                 \"revenue\": after[\"revenue\"] / before[\"revenue\"] - 1,\n",
        "                 \"hash rate\": after[\"hash_rate\"] / before[\"hash_rate\"] - 1})\n",
        "pd.DataFrame(rows).set_index(\"halving\").style.format(\"{:+.0%}\")"
      ],
      "id": "ddaea39d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Each halving cut miners’ revenue in dollars by roughly 40% to 55% over\n",
        "the following month, while the hash rate fell by 12% at most, and by 2%\n",
        "or less in 2016 and 2024. Mining equipment is a sunk cost, and a miner\n",
        "keeps running a machine as long as its revenue covers the electricity.\n",
        "Over the following months, the least efficient machines are switched\n",
        "off, new and more efficient ones arrive, and the price of bitcoin moves,\n",
        "which is why the halvings show up as pauses in the hash rate’s growth\n",
        "rather than as collapses.\n",
        "\n",
        "## Revenue per unit of computing power\n",
        "\n",
        "Divide miners’ daily revenue by the hash rate and you get what one unit\n",
        "of computing power earns per day, which miners call the *hashprice*."
      ],
      "id": "ceedc4a1-3089-4f2d-847f-2991342a2d5a"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GvGzfvj3efPNN7NmzByEhIZg2bRrOnDmjs0B1wZjH2ZQqVGrLZx9m0JhmtSw9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          }
        }
      ],
      "source": [
        "btc[\"hashprice\"] = btc[\"revenue\"] / btc[\"hash_rate\"]\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "btc[\"hashprice\"].loc[\"2014\":].plot(ax=ax, logy=True, lw=0.8)\n",
        "for h in halvings[1:]:\n",
        "    ax.axvline(h, color=\"0.5\", ls=\":\", lw=1)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"USD per EH/s per day (log scale)\")\n",
        "ax.set_title(\"Revenue per unit of computing power\")\n",
        "plt.show()"
      ],
      "id": "ffac368e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Revenue per unit of computing power falls over time, with large swings\n",
        "when the price of bitcoin moves: competition among miners pushes it\n",
        "toward the cost of producing a hash, and that cost keeps falling as\n",
        "chips improve. Each halving takes another step down. This is why the\n",
        "hashprice says little about security: what an attacker must outspend is\n",
        "the total paid to miners, not the pay per hash.\n",
        "\n",
        "## How much of the pay comes from fees?"
      ],
      "id": "cb386b0f-d671-4d07-b6ba-b23c7c9b5ee9"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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qa2vx1Vdf4amnnsKePXvw7LPPBrqthJAuSONimFsqFsJkoR4OQsKFzmRFr3g5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DvHsP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\nEJ9RMEkIIYQQQnz2//q42M2hGBNBAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Highest daily share: 75% on April 20, 2024"
          ]
        }
      ],
      "source": [
        "fee_share = (btc[\"fees\"] / btc[\"revenue\"]).resample(\"ME\").mean()\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(8, 3))\n",
        "(100 * fee_share).plot(ax=ax, lw=1)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"Fees (% of revenue)\")\n",
        "ax.set_title(\"Transaction fees as a share of miner revenue, monthly average\")\n",
        "plt.show()\n",
        "\n",
        "top = (btc[\"fees\"] / btc[\"revenue\"]).nlargest(1)\n",
        "print(f\"Highest daily share: {top.iloc[0]:.0%} on {top.index[0]:%B %d, %Y}\")"
      ],
      "id": "df2e43fd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Fees are a small part of miners’ pay: for most of Bitcoin’s history,\n",
        "newly created bitcoin has paid for nearly all of it. Fees spike when\n",
        "blocks are congested and users bid to get their payments in, as on the\n",
        "day of the 2024 halving, but those spikes do not last.\n",
        "\n",
        "## The security budget\n",
        "\n",
        "Budish (2025) argues that the payments to miners must be large relative\n",
        "to what an attacker could gain. A simple way to track this is to\n",
        "annualize miners’ revenue and compare it with Bitcoin’s market value,\n",
        "the value the security protects."
      ],
      "id": "1e4e9eaa-c4d1-4837-a217-0ffbfa5ba738"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XLnz11Vd6rXDChAl45513GlyYKT3cEv8npRAf/Z2CYC8HKNUMf8x7CtvOZSPm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\nQLsAV7w6sDUGRzZ77Ho7BrnB3kaA05mF1NjkAB2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pIujYZh0MamyePHkSubm5OH36NMaO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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "2021-12-31    1.88\n",
            "2022-12-31    1.78\n",
            "2023-12-31    1.87\n",
            "2024-12-31    1.19\n",
            "2025-12-31    0.86\n",
            "2026-12-31    0.87\n",
            "Freq: YE-DEC"
          ]
        }
      ],
      "source": [
        "budget = (365 * btc[\"revenue\"] / btc[\"market_cap\"]).resample(\"ME\").mean()\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(8, 3.5))\n",
        "(100 * budget).plot(ax=ax, logy=True, lw=1)\n",
        "for h in halvings:\n",
        "    ax.axvline(h, color=\"0.5\", ls=\":\", lw=1)\n",
        "ax.set_xlabel(\"\")\n",
        "ax.set_ylabel(\"% of market value per year (log scale)\")\n",
        "ax.set_title(\"Annualized miner revenue relative to Bitcoin's market value\")\n",
        "plt.show()\n",
        "\n",
        "print((100 * budget).resample(\"YE\").mean().round(2).tail(6).to_string())"
      ],
      "id": "85946b8a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The budget has shrunk from about a third of Bitcoin’s value per year in\n",
        "2012 to under 1%. The shape of the line explains why. Miners’ revenue is\n",
        "the price of bitcoin times the new bitcoin they receive, plus fees; the\n",
        "market value is the price times all the bitcoin in existence. The price\n",
        "cancels, so the ratio is close to the rate at which new bitcoin are\n",
        "created each year, plus a small fee term. That rate is set by the\n",
        "protocol, which is why the line is nearly flat between halvings and\n",
        "drops by about half at each one. Unless fees grow to fill the gap, every\n",
        "halving cuts the payments for security relative to the value they\n",
        "protect, which is the trend Budish (2025) warns about.\n",
        "\n",
        "Budish’s comparison is per block, not per year: what an attacker must\n",
        "outspend is the flow of payments while the attack lasts, against what\n",
        "the attack could gain. In those terms the budget is small:"
      ],
      "id": "d0e0e377-f6d9-4b6e-aa78-f254f59a2461"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Miners' revenue on November 10, 2026: $32 million\n",
            "Market value of all bitcoin:          $1,494 billion"
          ]
        }
      ],
      "source": [
        "latest = btc.iloc[-1]\n",
        "print(f\"Miners' revenue on {btc.index[-1]:%B %d, %Y}: ${latest['revenue'] / 1e6:,.0f} million\")\n",
        "print(f\"Market value of all bitcoin:          ${latest['market_cap'] / 1e9:,.0f} billion\")"
      ],
      "id": "ba1015e7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Try it\n",
        "\n",
        "1.  Repeat the halving comparison with 90 days before and after instead\n",
        "    of 30. Does the hash rate still barely move?\n",
        "2.  Plot the price of bitcoin (chart `market-price`) on the same graph\n",
        "    as the hash rate. Which moves first?\n",
        "3.  At the next halving, expected in 2028, the new bitcoin in each block\n",
        "    falls by half. If the price of bitcoin stayed the same, what share\n",
        "    of miners’ revenue would fees have to make up afterwards to keep\n",
        "    revenue unchanged? Compare it with the fee shares in the data.\n",
        "\n",
        "Budish, Eric. 2025. “Trust at Scale: The Economic Limits of\n",
        "Cryptocurrencies and Blockchains.” *Quarterly Journal of Economics* 140\n",
        "(1): 1–62. <https://doi.org/10.1093/qje/qjae033>."
      ],
      "id": "cc5d3a17-1e3b-4158-9277-eb1b40271342"
    }
  ],
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      "name": "python3",
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "path": "/home/lnaranjo/.pyenv/versions/global/share/jupyter/kernels/python3"
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    "language_info": {
      "name": "python",
      "codemirror_mode": {
        "name": "ipython",
        "version": "3"
      },
      "file_extension": ".py",
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      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
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