diff --git "a/coincap.ipynb" "b/coincap.ipynb" new file mode 100644--- /dev/null +++ "b/coincap.ipynb" @@ -0,0 +1,35660 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "id": "82ef4793-54a5-4c74-b6da-dfa241ebc25f", + "metadata": {}, + "outputs": [], + "source": [ + "import requests\n", + "import json\n", + "import plotly.graph_objs as go\n", + "import plotly.express as px\n", + "import pandas as pd\n", + "import datetime as dt\n", + "from pypfopt import EfficientFrontier # nb pypfopt is shorthand for the package pyportfolioopt\n", + "from pypfopt import risk_models\n", + "from pypfopt import expected_returns" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "b3fe8db3-d090-4568-b36c-e77ae751b3a5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 26.3 ms, sys: 9.84 ms, total: 36.1 ms\n", + "Wall time: 448 ms\n" + ] + } + ], + "source": [ + "%%time \n", + "\n", + "url = \"https://api.coincap.io/v2/assets\"\n", + "\n", + "# N.B. here adampt the params dict to only request what you need\n", + "payload={'limit': '100'}\n", + "headers = {}\n", + "\n", + "response_assets = requests.request(\"GET\", url, params=payload, headers=headers)\n", + "assets_json = response_assets.json()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "7f764e68-6576-434d-8211-e3bffd457d18", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b451a1d2-453c-427d-b9a1-593ae7c726cf", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'data': [{'id': 'bitcoin',\n", + " 'rank': '1',\n", + " 'symbol': 'BTC',\n", + " 'name': 'Bitcoin',\n", + " 'supply': '19043206.0000000000000000',\n", + " 'maxSupply': '21000000.0000000000000000',\n", + " 'marketCapUsd': '559671576179.4286020109975666',\n", + " 'volumeUsd24Hr': '12300334331.2161902589380938',\n", + " 'priceUsd': '29389.5668712205603411',\n", + " 'changePercent24Hr': '-3.7819471030984226',\n", + " 'vwap24Hr': '29948.1083774993105494',\n", + " 'explorer': 'https://blockchain.info/'},\n", + " {'id': 'ethereum',\n", + " 'rank': '2',\n", + " 'symbol': 'ETH',\n", + " 'name': 'Ethereum',\n", + " 'supply': '120827260.3740000000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '240605400680.7632948695057892',\n", + " 'volumeUsd24Hr': '7449769765.8746617907691925',\n", + " 'priceUsd': '1991.3171906406771582',\n", + " 'changePercent24Hr': '-5.0740933403072908',\n", + " 'vwap24Hr': '2046.6983562141423353',\n", + " 'explorer': 'https://etherscan.io/'},\n", + " {'id': 'tether',\n", + " 'rank': '3',\n", + " 'symbol': 'USDT',\n", + " 'name': 'Tether',\n", + " 'supply': '74209002354.8673000000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '74194687260.7923485165823812',\n", + " 'volumeUsd24Hr': '22683862400.3297155604632776',\n", + " 'priceUsd': '0.9998070976078280',\n", + " 'changePercent24Hr': '0.0123900705438818',\n", + " 'vwap24Hr': '0.9990152691081062',\n", + " 'explorer': 'https://www.omniexplorer.info/asset/31'},\n", + " {'id': 'usd-coin',\n", + " 'rank': '4',\n", + " 'symbol': 'USDC',\n", + " 'name': 'USD Coin',\n", + " 'supply': '52160449288.6810800000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '52246026269.5650486143183552',\n", + " 'volumeUsd24Hr': '1682506203.3751183584587090',\n", + " 'priceUsd': '1.0016406488450731',\n", + " 'changePercent24Hr': '0.0795424361905935',\n", + " 'vwap24Hr': '1.0006127807340778',\n", + " 'explorer': 'https://etherscan.io/token/0xa0b86991c6218b36c1d19d4a2e9eb0ce3606eb48'},\n", + " {'id': 'binance-coin',\n", + " 'rank': '5',\n", + " 'symbol': 'BNB',\n", + " 'name': 'BNB',\n", + " 'supply': '166801148.0000000000000000',\n", + " 'maxSupply': '166801148.0000000000000000',\n", + " 'marketCapUsd': '49450069940.2300119599737824',\n", + " 'volumeUsd24Hr': '530918969.8808032656188145',\n", + " 'priceUsd': '296.4612086496551688',\n", + " 'changePercent24Hr': '-3.9195134747643902',\n", + " 'vwap24Hr': '301.7653744739193769',\n", + " 'explorer': 'https://etherscan.io/token/0xB8c77482e45F1F44dE1745F52C74426C631bDD52'},\n", + " {'id': 'xrp',\n", + " 'rank': '6',\n", + " 'symbol': 'XRP',\n", + " 'name': 'XRP',\n", + " 'supply': '45404028640.0000000000000000',\n", + " 'maxSupply': '100000000000.0000000000000000',\n", + " 'marketCapUsd': '18890149687.6494914054321600',\n", + " 'volumeUsd24Hr': '655188763.8084065239150336',\n", + " 'priceUsd': '0.4160456737754690',\n", + " 'changePercent24Hr': '-4.3732115333643298',\n", + " 'vwap24Hr': '0.4280447791150172',\n", + " 'explorer': 'https://xrpcharts.ripple.com/#/graph/'},\n", + " {'id': 'binance-usd',\n", + " 'rank': '7',\n", + " 'symbol': 'BUSD',\n", + " 'name': 'Binance USD',\n", + " 'supply': '18194582205.6292570000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '18221227463.9117328919719421',\n", + " 'volumeUsd24Hr': '1015026987.8137026430064857',\n", + " 'priceUsd': '1.0014644611226210',\n", + " 'changePercent24Hr': '0.0304859127779298',\n", + " 'vwap24Hr': '1.0007275812805348',\n", + " 'explorer': 'https://etherscan.io/token/0x4Fabb145d64652a948d72533023f6E7A623C7C53'},\n", + " {'id': 'cardano',\n", + " 'rank': '8',\n", + " 'symbol': 'ADA',\n", + " 'name': 'Cardano',\n", + " 'supply': '33752565071.2880000000000000',\n", + " 'maxSupply': '45000000000.0000000000000000',\n", + " 'marketCapUsd': '18097200914.8046405095913994',\n", + " 'volumeUsd24Hr': '425958079.5206426822667387',\n", + " 'priceUsd': '0.5361726101877581',\n", + " 'changePercent24Hr': '-9.2566820596325633',\n", + " 'vwap24Hr': '0.5639690367841696',\n", + " 'explorer': 'https://cardanoexplorer.com/'},\n", + " {'id': 'solana',\n", + " 'rank': '9',\n", + " 'symbol': 'SOL',\n", + " 'name': 'Solana',\n", + " 'supply': '337355749.2585833000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '17519481399.1946427780155860',\n", + " 'volumeUsd24Hr': '397833540.4704229932576846',\n", + " 'priceUsd': '51.9317706536726432',\n", + " 'changePercent24Hr': '-9.7488116052867695',\n", + " 'vwap24Hr': '54.9972929961553200',\n", + " 'explorer': 'https://explorer.solana.com/'},\n", + " {'id': 'dogecoin',\n", + " 'rank': '10',\n", + " 'symbol': 'DOGE',\n", + " 'name': 'Dogecoin',\n", + " 'supply': '132670764299.8940900000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '11557163404.8850639974141791',\n", + " 'volumeUsd24Hr': '292303845.1614176828526928',\n", + " 'priceUsd': '0.0871116064332064',\n", + " 'changePercent24Hr': '-3.5163170802602344',\n", + " 'vwap24Hr': '0.0888273038819962',\n", + " 'explorer': 'http://dogechain.info/chain/Dogecoin'}],\n", + " 'timestamp': 1652882813653}" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "assets_json" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2b8e0e09-daa1-431c-9cec-e3d3317cc691", + "metadata": {}, + "outputs": [], + "source": [ + "ids_list = []\n", + "for dict in assets_json['data']:\n", + " ids_list.append(dict['id'])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "0567d694-1d75-4d7e-b9bd-b52679add8f5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['bitcoin',\n", + " 'ethereum',\n", + " 'tether',\n", + " 'usd-coin',\n", + " 'binance-coin',\n", + " 'xrp',\n", + " 'binance-usd',\n", + " 'cardano',\n", + " 'solana',\n", + " 'dogecoin']" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ids_list" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "baa4a639-3ec4-439b-aaf6-5e8bd831b782", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['BTC', 'ETH', 'USDT', 'USDC', 'BNB', 'XRP', 'BUSD', 'ADA', 'SOL', 'DOGE']" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "symbol_list = []\n", + "for dict in assets_json['data']:\n", + " symbol_list.append(dict['symbol'])\n", + "symbol_list" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "62bbe3d0-6479-40ce-8bf3-d05d6d9edd33", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 337 ms, sys: 51.9 ms, total: 389 ms\n", + "Wall time: 6.65 s\n" + ] + } + ], + "source": [ + "%%time\n", + "url = \"http://api.coincap.io/v2/assets/{}/history?interval=d1\"\n", + "\n", + "payload={}\n", + "headers = {}\n", + "\n", + "histories_dict = {}\n", + "for id in ids_list:\n", + " response_histories = requests.request(\"GET\", url.format(id), headers=headers, data=payload)\n", + " histories_json = response_histories.json()\n", + " histories_dict[id] = histories_json['data']" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "7b49501a-ca72-4c54-b35b-acd23bb09619", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "bitcoin: 364\n", + "ethereum: 364\n", + "tether: 364\n", + "usd-coin: 364\n", + "binance-coin: 364\n", + "xrp: 364\n", + "binance-usd: 364\n", + "cardano: 364\n", + "solana: 364\n", + "dogecoin: 364\n" + ] + } + ], + "source": [ + "for id in ids_list:\n", + " print(id +\": {}\".format(len(histories_dict[id])))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "60b95118-dc5d-4a47-8ab2-0c5f2a0b5ccf", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2021, 5, 19, 0, 0)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.strptime(histories_dict['bitcoin'][0]['date'][0:10], '%Y-%m-%d')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "a2bc99aa-61c8-403c-bfdf-3077dc97736a", + "metadata": {}, + "outputs": [], + "source": [ + "def date_conv(date):\n", + " return dt.datetime.strptime(date, '%Y-%m-%d')\n", + "price_histories_df = pd.DataFrame(columns=['coin','date','price'])\n", + "return_histories_df = pd.DataFrame(columns=['coin','date','price'])\n", + "for id in ids_list:\n", + " price=[]\n", + " date=[]\n", + " for observation in histories_dict[id]:\n", + " date.append(date_conv(observation['date'][0:10]))\n", + " #date.append(observation['time'])\n", + " price.append(float(observation['priceUsd']))\n", + " price_df = pd.DataFrame({\"coin\": id, \"date\":date, \"price\": price})\n", + " price_histories_df = pd.concat([price_histories_df, price_df])\n", + " returns = [float(b) / float(a) for b,a in zip(price[1:], price[:-1])]\n", + " returns_df = pd.DataFrame({\"coin\": id, \"date\":date[1:], \"price\": returns})\n", + " return_histories_df = pd.concat([return_histories_df, returns_df])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "273c26a3-dcd2-4c84-a5e9-d9408ed7d60d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "price=[]\n", + "date=[]\n", + "for observation in histories_dict['bitcoin']:\n", + " date.append(observation['date'][0:10])\n", + " #date.append(observation['time'])\n", + " price.append(float(observation['priceUsd']))\n", + "price_df = pd.DataFrame({\"coin\": 'bitcoin', \"date\":date, \"price\": price})\n", + "returns = [float(b) / float(a) for b,a in zip(price[1:], price[:-1])]\n", + "returns_df = pd.DataFrame({\"coin\": 'bitcoin', \"date\":date[1:], \"price\": returns})" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "b00832cd-1c4c-48b5-82cc-0a8a88f4b033", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + " \n", + " " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "line": { + "color": "green", + "width": 1 + }, + "name": "bitcoin", + "type": "scatter", + "x": [ + "2021-05-19", + "2021-05-20", + 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coindateprice
0bitcoin2021-05-19 00:00:0039147.86381
1bitcoin2021-05-20 00:00:0039865.225714
2bitcoin2021-05-21 00:00:0039161.303117
3bitcoin2021-05-22 00:00:0037543.682924
4bitcoin2021-05-23 00:00:0035095.165825
............
359dogecoin2022-05-13 00:00:000.090304
360dogecoin2022-05-14 00:00:000.088266
361dogecoin2022-05-15 00:00:000.089077
362dogecoin2022-05-16 00:00:000.088213
363dogecoin2022-05-17 00:00:000.089524
\n", + "

3640 rows × 3 columns

\n", + "
" + ], + "text/plain": [ + " coin date price\n", + "0 bitcoin 2021-05-19 00:00:00 39147.86381\n", + "1 bitcoin 2021-05-20 00:00:00 39865.225714\n", + "2 bitcoin 2021-05-21 00:00:00 39161.303117\n", + "3 bitcoin 2021-05-22 00:00:00 37543.682924\n", + "4 bitcoin 2021-05-23 00:00:00 35095.165825\n", + ".. ... ... ...\n", + "359 dogecoin 2022-05-13 00:00:00 0.090304\n", + "360 dogecoin 2022-05-14 00:00:00 0.088266\n", + "361 dogecoin 2022-05-15 00:00:00 0.089077\n", + "362 dogecoin 2022-05-16 00:00:00 0.088213\n", + "363 dogecoin 2022-05-17 00:00:00 0.089524\n", + "\n", + "[3640 rows x 3 columns]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_histories_df" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "fbf745bd-8afc-4fd5-bb0c-2d04dd3332e9", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "coin=bitcoin
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", + "text/html": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = px.line(price_histories_df, x=\"date\", y=\"price\", color=\"coin\")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ec06c197-3ddc-4584-8852-73949d70da3d", + "metadata": {}, + "source": [ + "# Return histories" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "bd957c40-90b9-4e14-ac57-1adfe4651e8e", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "coin=bitcoin
date=%{x}
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coindateprice
0bitcoin2021-05-15 00:00:000.973682
1bitcoin2021-05-16 00:00:000.977108
2bitcoin2021-05-17 00:00:000.928394
3bitcoin2021-05-18 00:00:000.996702
4bitcoin2021-05-19 00:00:000.88482
\n", + "
" + ], + "text/plain": [ + " coin date price\n", + "0 bitcoin 2021-05-15 00:00:00 0.973682\n", + "1 bitcoin 2021-05-16 00:00:00 0.977108\n", + "2 bitcoin 2021-05-17 00:00:00 0.928394\n", + "3 bitcoin 2021-05-18 00:00:00 0.996702\n", + "4 bitcoin 2021-05-19 00:00:00 0.88482" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "return_histories_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "acadecc2-c6d4-43bc-99c7-5626b1460cfc", + "metadata": {}, + "outputs": [], + "source": [ + "bitcoin_rebase = return_histories_df[(return_histories_df['date']>=pd.Timestamp(start_date)) \n", + " & (return_histories_df['coin']=='bitcoin')]" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "96ebf063-d4ae-47cb-9626-dd367e4c7b5d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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coindateprice
13bitcoin2021-05-28 00:00:000.943743
14bitcoin2021-05-29 00:00:000.962769
15bitcoin2021-05-30 00:00:001.006038
16bitcoin2021-05-31 00:00:001.01863
17bitcoin2021-06-01 00:00:001.012513
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" + ], + "text/plain": [ + " coin date price\n", + "13 bitcoin 2021-05-28 00:00:00 0.943743\n", + "14 bitcoin 2021-05-29 00:00:00 0.962769\n", + "15 bitcoin 2021-05-30 00:00:00 1.006038\n", + "16 bitcoin 2021-05-31 00:00:00 1.01863\n", + "17 bitcoin 2021-06-01 00:00:00 1.012513" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bitcoin_rebase.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "779cba2b-5048-4d24-887e-1a3bdeffc841", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/429660237.py:1: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n" + ] + } + ], + "source": [ + "bitcoin_rebase['price'].iloc[0]=1" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "5982b959-be6b-4248-8bf1-cff5624d96a8", + "metadata": {}, + "outputs": [], + "source": [ + "rebased_price=[1]\n", + "for i in range(1,len(bitcoin_rebase)):\n", + " rebased_price.append(bitcoin_rebase['price'].iloc[i]*rebased_price[i-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "40f1fca1-8595-4d39-8cdf-49169bda1422", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1561476697.py:1: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n" + ] + } + ], + "source": [ + "bitcoin_rebase['rebased_price']=rebased_price" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "20963bff-dec9-4e83-9afe-7e7c5da09d49", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/1122556680.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n" + ] + } + ], + "source": [ + "start_date = dt.date.today()-dt.timedelta(360)\n", + "rebased_prices_df = pd.DataFrame(columns=['coin','date','price','rebased_price'])\n", + "for id in ids_list:\n", + " temp_rebase_df = return_histories_df[(return_histories_df['date']>=pd.Timestamp(start_date)) \n", + " & (return_histories_df['coin']==id)]\n", + " rebased_price=[1]\n", + " for i in range(1,len(temp_rebase_df)):\n", + " rebased_price.append(temp_rebase_df['price'].iloc[i]*rebased_price[i-1])\n", + " temp_rebase_df['rebased_price']=rebased_price\n", + " rebased_prices_df = pd.concat([rebased_prices_df, temp_rebase_df])\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "0b4c9807-e4f4-4cb3-bcdf-6f3a01862e5b", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'rebased_prices_df' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_23455/773584551.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mrebased_prices_df\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'rebased_prices_df' is not defined" + ] + } + ], + "source": [ + "rebased_prices_df" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "74351170-0603-46c9-be5c-5946d788e274", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "coin=bitcoin
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = px.line(rebased_prices_df, x=\"date\", y=\"rebased_price\", color=\"coin\")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "88de49a3-f0ac-4bcf-8bda-d6c53611620c", + "metadata": {}, + "source": [ + "next up:\n", + "- create streamlit coin viewer\n", + "- loads up the top 10 coin's logos\n", + "- loads up the price histories for those coins\n", + "- on click allows you to add coins to graphs - just rebased for now.\n", + "- add: max drawdown, vol, sharpe ratio, returns (absolute and annualised)\n" + ] + }, + { + "cell_type": "markdown", + "id": "85c12a4e-a170-4bfe-b628-c2b72957af4f", + "metadata": {}, + "source": [ + "Then;\n", + "- create portfolio viewer" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "d469ea52-2c2d-4597-b5bc-f1f4516a49ef", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "bitcoin 363\n", + "ethereum 363\n", + "tether 363\n", + "binance-coin 363\n", + "usd-coin 363\n", + "xrp 363\n", + "cardano 363\n", + "solana 363\n", + "binance-usd 363\n", + "polkadot 363\n", + "Name: coin, dtype: int64" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "return_histories_df['coin'].value_counts()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "aec7efeb-73ae-45f7-a776-d7729b876113", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['bitcoin',\n", + " 'ethereum',\n", + " 'tether',\n", + " 'binance-coin',\n", + " 'usd-coin',\n", + " 'xrp',\n", + " 'cardano',\n", + " 'solana',\n", + " 'binance-usd',\n", + " 'polkadot']" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ids_list" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "aae83431-ec1f-4b30-864b-81ed665d8202", + "metadata": {}, + "outputs": [], + "source": [ + "weights = [0.1]*10" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "84ccbaea-ab18-4966-9c67-b4cf15347822", + "metadata": {}, + "outputs": [], + "source": [ + "portfolio_dict={ids_list[i]:weights[i] for i in range(len(weights))}" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "a41ce33f-3c70-454c-bb60-8fdf4603f181", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'bitcoin': 0.1,\n", + " 'ethereum': 0.1,\n", + " 'tether': 0.1,\n", + " 'binance-coin': 0.1,\n", + " 'usd-coin': 0.1,\n", + " 'xrp': 0.1,\n", + " 'cardano': 0.1,\n", + " 'solana': 0.1,\n", + " 'binance-usd': 0.1,\n", + " 'polkadot': 0.1}" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "a73d465e-e44d-42e5-85f6-04ec0c39e437", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n", + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_44311/3327992111.py:9: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n" + ] + } + ], + "source": [ + "start_date = dt.date.today()-dt.timedelta(360)\n", + "weighted_prices_df = pd.DataFrame(columns=['coin','date','price','weighted_price'])\n", + "for id in ids_list:\n", + " temp_weight_df = return_histories_df[(return_histories_df['date']>=pd.Timestamp(start_date)) \n", + " & (return_histories_df['coin']==id)]\n", + " weighted_price=[portfolio_dict[id]]\n", + " for i in range(1,len(temp_weight_df)):\n", + " weighted_price.append(temp_weight_df['price'].iloc[i]*weighted_price[i-1])\n", + " temp_weight_df['weighted_price']=weighted_price\n", + " weighted_prices_df = pd.concat([weighted_prices_df, temp_weight_df])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "e38b7f6f-933e-4cfe-a471-e061bb960a21", + "metadata": {}, + "outputs": [], + "source": [ + "date_list = [start_date + dt.timedelta(days=x) for x in range(360)]" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "de4e8693-b22d-4301-8e06-cb9d541f8fab", + "metadata": {}, + "outputs": [], + "source": [ + "port_returns=[]\n", + "for date in date_list:\n", + " port_returns.append(weighted_prices_df['weighted_price'][weighted_prices_df['date']==pd.Timestamp(date)].sum())" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "a5d05307-52f0-4428-b776-30575de3095d", + "metadata": {}, + "outputs": [], + "source": [ + "port_returns_df = pd.DataFrame({'date':date_list, 'price': port_returns})" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "d2e3b9e0-f17a-4483-860b-0fda48d7e424", + "metadata": {}, + 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Use 'ts == pd.Timestamp(date)' or 'ts.date() == date' instead.\n", + "\n" + ] + }, + { + "data": { + "text/plain": [ + "0.6253021785336292" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "min(port_returns_df[port_returns_df['date']>=pd.Timestamp('2021-12-27')]['price'])" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "27baef99-fe71-4bd4-95b8-ae2e814e2fed", + "metadata": {}, + "outputs": [], + "source": [ + "max_dd=max(port_returns_df['price'])-min(port_returns_df[port_returns_df['date']>=pd.Timestamp('2021-12-27')]['price'])" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "80951db1-aa1d-4cd6-b433-58f5543ff7a8", + "metadata": {}, + "outputs": [], + "source": [ + "max_dd =max_dd /max(port_returns_df['price'])" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "d966e589-491e-44e7-acda-b68908f45177", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5842976419367463" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_dd" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "0179b069-0541-4e12-a02b-d7dca11513fc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.ndarray" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(port_returns_df['price'].values)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "9483e440-8e8a-4f03-a745-db28a2cc69ae", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 1.000000\n", + "1 0.884728\n", + "2 0.848178\n", + "3 0.831057\n", + "4 0.770539\n", + " ... \n", + "355 0.779366\n", + "356 0.743019\n", + "357 0.725969\n", + "358 0.689412\n", + "359 0.625302\n", + "Name: price, Length: 360, dtype: float64" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_returns_df['price']" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "dba31b08-c39b-4037-8cd8-f9a7cb54ba47", + "metadata": {}, + "outputs": [], + "source": [ + "end_idx = np.argmax(np.maximum.accumulate(port_returns_df['price'].values) - port_returns_df['price'].values) # end of the period\n", + "start_idx = np.argmax(port_returns_df['price'].values[:end_idx]) # start of period" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "afdf907c-8ddc-47c9-980c-308285da2c15", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5842976419367463" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(port_returns_df['price'].values[start_idx]-port_returns_df['price'].values[end_idx])/port_returns_df['price'].values[start_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "e1304c39-d0df-4573-8ffb-62afaa3dc0f8", + "metadata": {}, + "outputs": [], + "source": [ + "def max_drawdown(prices):\n", + " '''\n", + " A function to calculate the max drawdown for a given price series \"daily_prices\"\n", + " as well as the index of the start of the max drawdown period, \"start_idx\"\n", + " and the index of end of the max drawdwon period, \"end index\"\n", + " '''\n", + " if type(prices)==type(pd.Series(dtype='object')):\n", + " prices = prices.values\n", + " end_idx = np.argmax(np.maximum.accumulate(port_returns_df['price'].values) - port_returns_df['price'].values) # end of the period\n", + " start_idx = np.argmax(port_returns_df['price'].values[:end_idx]) # start of period\n", + " max_dd = (prices[start_idx]-prices[end_idx])/prices[start_idx]\n", + " return max_dd, start_idx, end_idx" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "c82f9e1b-0856-4875-931e-b3582be23275", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.5842976419367463, 175, 359)" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_drawdown(port_returns_df['price'])" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "3a6be0f8-0eb4-40bb-879c-fca7004b8888", + "metadata": {}, + "outputs": [], + "source": [ + "def annual_vol(prices):\n", + " prices.pct_change().std()*(365**0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "07f55c32-13e8-4f7c-8d9d-ff2dfa999b23", + "metadata": {}, + "outputs": [], + "source": [ + "prices = port_returns_df['price']" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "dd3b87b8-7830-4379-b206-6a33d58906a9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5060838732200098" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "prices.pct_change().std()*(365**0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "70ebfe15-4816-44e6-ba86-8f7718244fcd", + "metadata": {}, + "outputs": [], + "source": [ + "def absolute_return(prices):\n", + " 'a function to calculate the absolute return given a daily price series'\n", + " abs_rtn = ((prices.iloc[-1]/prices[0])-1)\n", + " return abs_rtn\n", + "\n", + "def annual_return(prices):\n", + " 'a function to calculate the annualised return given a daily price series'\n", + " abs_rtn = absolute_return(prices)\n", + " annual_rnt = (pow((abs_rtn/100)+1, 365/len(prices))-1)*100\n", + " return annual_rnt\n", + "\n", + "def max_drawdown(prices):\n", + " '''\n", + " A function to calculate the max drawdown for a given price series \"prices\"\n", + " as well as the index of the start of the max drawdown period, \"start_idx\"\n", + " and the index of end of the max drawdwon period, \"end index\"\n", + " '''\n", + " if type(prices)==type(pd.Series(dtype='object')):\n", + " prices = prices.values\n", + " end_idx = np.argmax(np.maximum.accumulate(prices) - prices) # end of the period\n", + " start_idx = np.argmax(prices[:end_idx]) # start of period\n", + " max_dd = (prices[start_idx]-prices[end_idx])/prices[start_idx]\n", + " return max_dd, start_idx, end_idx\n", + "\n", + "def annual_vol(prices):\n", + " '''\n", + " A function to calculate the annuaised volatility of a price series assuming\n", + " cryptos trade 365 days a year\n", + " '''\n", + " return prices.pct_change().std()*(365**0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "f4462aa4-3796-4a60-9c2d-e3a2d917b7fa", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-0.3798920603696798 -0.37469782146637065 0.5060838732200098 (0.5842976419367463, 175, 359)\n" + ] + } + ], + "source": [ + "prices= port_returns_df['price']\n", + "print(annual_return(prices), absolute_return(prices), annual_vol(prices), max_drawdown(prices))" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "0c1ce812-4f21-4915-807d-2c468cb7e1d0", + "metadata": {}, + "outputs": [], + "source": [ + "max_dd, start_idx, end_idx = max_drawdown(port_returns_df['price'])" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "5e0e4892-5385-438d-ae7d-92241a65891c", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "date=%{x}
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "start_dt = port_returns_df['date'].iloc[start_idx]\n", + "end_dt = port_returns_df['date'].iloc[end_idx]\n", + "fig = px.line(port_returns_df, x=\"date\", y=\"price\")\n", + "fig.add_vline(x=start_dt, line_width=1, line_color=\"red\")\n", + "fig.add_vline(x=end_dt, line_width=1, line_color=\"red\")\n", + "fig.add_vrect(x0=start_dt, x1=end_dt, line_width=0, fillcolor=\"red\", opacity=0.05, annotation_text=\"max drawdown \")\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "cdb978f7-9da6-4c28-a61e-a51c3cf2e0fc", + "metadata": {}, + "outputs": [], + "source": [ + "metrics_dict= {'annual_return' : \"Return (annualised)\", 'absolute_return': \"Return\",\n", + " 'annual_vol': 'Annual volatiloty', 'max_drawdown': 'Max loss in period'}\n", + "\n", + "def write_metrics(prices, *metrics):\n", + " for metric in metrics:\n", + " if metric.__name__ == 'max_drawdown':\n", + " print(metrics_dict[metric.__name__] +': {:.2%}'.format(metric(prices)[0]))\n", + " else:\n", + " print(metrics_dict[metric.__name__] +': {:.2%}'.format(metric(prices)))" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "b42f19e0-1626-40ac-b7bb-31a4a09a585c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Return (annualised): -37.99%\n", + "Return: -37.47%\n", + "Annual volatiloty: 50.61%\n", + "Max loss in period: 58.43%\n" + ] + } + ], + "source": [ + "write_metrics(prices, annual_return, absolute_return, annual_vol, max_drawdown)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "5baa0d0f-bd5c-4ec3-a605-0357df3ae532", + "metadata": {}, + "outputs": [], + "source": [ + "metrics_dict= {annual_return, absolute_return, annual_vol, max_drawdown}" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "id": "ad8339e3-13e5-4100-a925-5336179c4c92", + "metadata": {}, + "outputs": [], + "source": [ + "from pypfopt import EfficientFrontier\n", + "from pypfopt import risk_models\n", + "from pypfopt import expected_returns" + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "id": "a640fb87-dcd0-419d-a38c-c252eadc61b9", + "metadata": {}, + "outputs": [], + "source": [ + "date2 = []\n", + "for observation in histories_dict[ids_list[0]]:\n", + " date2.append(date_conv(observation['date'][0:10]))\n", + "wide_prices_df = pd.DataFrame(index=date2)\n", + "for id in ids_list:\n", + " price=[]\n", + " for observation in histories_dict[id]:\n", + " price.append(float(observation['priceUsd']))\n", + " wide_prices_df[id]=price" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "id": "0dc4a39e-c8d4-40b7-a3ff-06d36bc6781a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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bitcoinethereumtetherbinance-coinusd-coinxrpcardanosolanabinance-usdpolkadot
2021-05-1450256.8700893971.4838441.001722596.8995101.0014681.3851091.90506242.2855291.00056542.526788
2021-05-1548934.2264963903.4108831.001386587.0949701.0018811.4243242.18705241.7160031.00055446.647836
2021-05-1647814.0485703705.8847601.001379576.7578331.0027161.5188292.28953346.7576671.00108643.881551
2021-05-1744390.2652213392.8738141.001662524.2284481.0027241.4717472.11634348.2532161.00098439.306578
2021-05-1844243.8877923427.7847011.001324517.9619181.0013501.5697192.05868952.2713761.00047740.142562
\n", + "
" + ], + "text/plain": [ + " bitcoin ethereum tether binance-coin usd-coin \\\n", + "2021-05-14 50256.870089 3971.483844 1.001722 596.899510 1.001468 \n", + "2021-05-15 48934.226496 3903.410883 1.001386 587.094970 1.001881 \n", + "2021-05-16 47814.048570 3705.884760 1.001379 576.757833 1.002716 \n", + "2021-05-17 44390.265221 3392.873814 1.001662 524.228448 1.002724 \n", + "2021-05-18 44243.887792 3427.784701 1.001324 517.961918 1.001350 \n", + "\n", + " xrp cardano solana binance-usd polkadot \n", + "2021-05-14 1.385109 1.905062 42.285529 1.000565 42.526788 \n", + "2021-05-15 1.424324 2.187052 41.716003 1.000554 46.647836 \n", + "2021-05-16 1.518829 2.289533 46.757667 1.001086 43.881551 \n", + "2021-05-17 1.471747 2.116343 48.253216 1.000984 39.306578 \n", + "2021-05-18 1.569719 2.058689 52.271376 1.000477 40.142562 " + ] + }, + "execution_count": 140, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "wide_prices_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "id": "b21f7640-3468-43c2-9fcc-c9c4654dc453", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "OrderedDict([('bitcoin', -0.00027), ('ethereum', 0.32348), ('tether', -0.14998), ('binance-coin', 0.01765), ('usd-coin', 1.0), ('xrp', -0.54611), ('cardano', -0.77468), ('solana', 1.0), ('binance-usd', 1.0), ('polkadot', -0.87009)])\n", + "Expected annual return: 130.6%\n", + "Annual volatility: 97.9%\n", + "Sharpe Ratio: 1.31\n" + ] + } + ], + "source": [ + "# Calculate expected returns and sample covariance\n", + "mu = expected_returns.mean_historical_return(wide_prices_df)\n", + "S = risk_models.sample_cov(wide_prices_df)\n", + "\n", + "from cvxpy.error import SolverError\n", + "from pypfopt.exceptions import InstantiationError\n", + "\n", + "# Optimize for maximal Sharpe ratio\n", + "\n", + "attempts=0\n", + "while attempts < 10:\n", + " try:\n", + " ef = EfficientFrontier(mu, S, weight_bounds=(None, None))\n", + " ef.max_sharpe()\n", + " print(attempts)\n", + " break\n", + " #except SolverError as e:\n", + " #attempts += 1\n", + " #print(\"SolverError %d: %s\" % (e.args[0], e.args[1]))\n", + " #except InstantiationError as er:\n", + " #attempts += 1\n", + " except Exception as e:\n", + " attempts += 1\n", + "#raw_weights = ef.min_volatility()\n", + "try:\n", + " cleaned_weights = ef.clean_weights()\n", + " print(cleaned_weights)\n", + " ef.portfolio_performance(verbose=True)\n", + "except Exception as e:\n", + " print(\"Could not find optimal solution, try changing optimisation constraints or investment set\")" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "id": "48ee11e1-8c62-4770-bea5-b26d0363772b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Discrete allocation: {'usd-coin': 2981, 'solana': 66, 'binance-usd': 2985, 'binance-coin': 1, 'polkadot': -1031, 'cardano': -16546, 'xrp': -14335, 'tether': -1510}\n", + "Funds remaining: $788.99\n" + ] + } + ], + "source": [ + "from pypfopt.discrete_allocation import DiscreteAllocation, get_latest_prices\n", + "\n", + "\n", + "latest_prices = get_latest_prices(wide_prices_df)\n", + "\n", + "da = DiscreteAllocation(cleaned_weights, latest_prices, total_portfolio_value=10000)\n", + "allocation, leftover = da.greedy_portfolio()\n", + "print(\"Discrete allocation:\", allocation)\n", + "print(\"Funds remaining: ${:.2f}\".format(leftover))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "147635f5-9c2a-4072-bbf4-76712d92ebfe", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'date_conv' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_62742/3592885454.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mhistories_df\u001b[0m\u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'histories.csv'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mhistories_df\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'date'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdate_conv\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mhistories_df\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'date'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mhistories_df\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mhistories_df\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_index\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'date'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'date_conv' is not defined" + ] + } + ], + "source": [ + "histories_df= pd.read_csv('histories.csv')\n", + "histories_df['date'] = list(map(date_conv,histories_df['date']))\n", + "histories_df = histories_df.set_index('date')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "870fdbdd-af77-4063-87e4-72726e6bab50", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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bitcoinethereumtetherusd-coinbinance-coinxrpbinance-usdcardanosolanadogecoin...kavakadenalido-daohologatetokenfei-protocolkyber-networkqtumbancor1inch
date
2017-05-201988.961436124.6715780.989347NaN0.0087400.335994NaNNaNNaN0.001577...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
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5 rows × 100 columns

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" + ], + "text/plain": [ + " bitcoin ethereum tether usd-coin binance-coin \\\n", + "date \n", + "2017-05-20 1988.961436 124.671578 0.989347 NaN 0.008740 \n", + "2017-05-21 2041.043206 133.124882 0.993468 NaN NaN \n", + "2017-05-22 2132.615875 162.394661 0.994056 NaN 0.009597 \n", + "2017-05-23 2192.000968 162.851097 0.994256 NaN NaN \n", + "2017-05-24 2357.398184 185.628320 0.999779 NaN 0.010701 \n", + "\n", + " xrp binance-usd cardano solana dogecoin ... kava \\\n", + "date ... \n", + "2017-05-20 0.335994 NaN NaN NaN 0.001577 ... NaN \n", + "2017-05-21 0.340759 NaN NaN NaN 0.002355 ... NaN \n", + "2017-05-22 0.306679 NaN NaN NaN 0.002995 ... NaN \n", + "2017-05-23 0.314020 NaN NaN NaN 0.003343 ... NaN \n", + "2017-05-24 0.315158 NaN NaN NaN 0.003535 ... NaN \n", + "\n", + " kadena lido-dao holo gatetoken fei-protocol kyber-network \\\n", + "date \n", + "2017-05-20 NaN NaN NaN NaN NaN NaN \n", + "2017-05-21 NaN NaN NaN NaN NaN NaN \n", + "2017-05-22 NaN NaN NaN NaN NaN NaN \n", + "2017-05-23 NaN NaN NaN NaN NaN NaN \n", + "2017-05-24 NaN NaN NaN NaN NaN NaN \n", + "\n", + " qtum bancor 1inch \n", + "date \n", + "2017-05-20 NaN NaN NaN \n", + "2017-05-21 NaN NaN NaN \n", + "2017-05-22 NaN NaN NaN \n", + "2017-05-23 6.095773 NaN NaN \n", + "2017-05-24 7.854462 NaN NaN \n", + "\n", + "[5 rows x 100 columns]" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "histories_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "0871e615-5431-49dc-8028-43714f7df408", + "metadata": {}, + "outputs": [], + "source": [ + "from datetime import date, timedelta\n", + "start_port_date = date.today() - timedelta(365)\n", + "start_analysis_date = start_port_date - timedelta(365)\n", + "investment_cols = ['bitcoin', 'ethereum', 'tether', 'usd-coin', 'binance-coin', 'xrp', 'cardano', 'solana', 'binance-usd', 'polkadot']" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "a9c71bf1-73b4-43b9-9ee7-386b47ca1a83", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1823, 100)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "histories_df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "648d7277-d432-4a21-9c7a-bae5298cb457", + "metadata": {}, + "outputs": [], + "source": [ + "analysis_df = histories_df[start_analysis_date:start_port_date][investment_cols]" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "8abdc42a-7802-4c76-a244-0ff467534535", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "OrderedDict([('bitcoin', 0.0), ('ethereum', 0.0), ('tether', 0.0), ('usd-coin', 0.75201), ('binance-coin', 0.03029), ('xrp', 0.0), ('cardano', 0.12697), ('solana', 0.09073), ('binance-usd', 0.0), ('polkadot', 0.0)])\n", + "Expected annual return: 256.1%\n", + "Annual volatility: 18.4%\n", + "Sharpe Ratio: 13.80\n" + ] + } + ], + "source": [ + "# Calculate expected returns and sample covariance\n", + "mu = expected_returns.mean_historical_return(analysis_df)\n", + "S = risk_models.sample_cov(analysis_df)\n", + "\n", + "\n", + "\n", + "# Optimize for maximal Sharpe ratio\n", + "attempts=0\n", + "while attempts < 10:\n", + " try:\n", + " ef = EfficientFrontier(mu, S, weight_bounds=(0, 1))\n", + " ef.max_sharpe()\n", + " break\n", + " except Exception as e:\n", + " attempts += 1\n", + "#raw_weights = ef.min_volatility()\n", + "try:\n", + " cleaned_weights = ef.clean_weights()\n", + " print(cleaned_weights)\n", + " ef.portfolio_performance(verbose=True)\n", + "except Exception as e:\n", + " print(\"Could not find optimal solution, try changing optimisation constraints or investment set\")" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "7fb84e01-9f62-458e-ad41-f542211e09ed", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{'id': 'bitcoin',\n", + " 'rank': '1',\n", + " 'symbol': 'BTC',\n", + " 'name': 'Bitcoin',\n", + " 'supply': '19043206.0000000000000000',\n", + " 'maxSupply': '21000000.0000000000000000',\n", + " 'marketCapUsd': '559671576179.4286020109975666',\n", + " 'volumeUsd24Hr': '12300334331.2161902589380938',\n", + " 'priceUsd': '29389.5668712205603411',\n", + " 'changePercent24Hr': '-3.7819471030984226',\n", + " 'vwap24Hr': '29948.1083774993105494',\n", + " 'explorer': 'https://blockchain.info/'},\n", + " {'id': 'ethereum',\n", + " 'rank': '2',\n", + " 'symbol': 'ETH',\n", + " 'name': 'Ethereum',\n", + " 'supply': '120827260.3740000000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '240605400680.7632948695057892',\n", + " 'volumeUsd24Hr': '7449769765.8746617907691925',\n", + " 'priceUsd': '1991.3171906406771582',\n", + " 'changePercent24Hr': '-5.0740933403072908',\n", + " 'vwap24Hr': '2046.6983562141423353',\n", + " 'explorer': 'https://etherscan.io/'},\n", + " {'id': 'tether',\n", + " 'rank': '3',\n", + " 'symbol': 'USDT',\n", + " 'name': 'Tether',\n", + " 'supply': '74209002354.8673000000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '74194687260.7923485165823812',\n", + " 'volumeUsd24Hr': '22683862400.3297155604632776',\n", + " 'priceUsd': '0.9998070976078280',\n", + " 'changePercent24Hr': '0.0123900705438818',\n", + " 'vwap24Hr': '0.9990152691081062',\n", + " 'explorer': 'https://www.omniexplorer.info/asset/31'},\n", + " {'id': 'usd-coin',\n", + " 'rank': '4',\n", + " 'symbol': 'USDC',\n", + " 'name': 'USD Coin',\n", + " 'supply': '52160449288.6810800000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '52246026269.5650486143183552',\n", + " 'volumeUsd24Hr': '1682506203.3751183584587090',\n", + " 'priceUsd': '1.0016406488450731',\n", + " 'changePercent24Hr': '0.0795424361905935',\n", + " 'vwap24Hr': '1.0006127807340778',\n", + " 'explorer': 'https://etherscan.io/token/0xa0b86991c6218b36c1d19d4a2e9eb0ce3606eb48'},\n", + " {'id': 'binance-coin',\n", + " 'rank': '5',\n", + " 'symbol': 'BNB',\n", + " 'name': 'BNB',\n", + " 'supply': '166801148.0000000000000000',\n", + " 'maxSupply': '166801148.0000000000000000',\n", + " 'marketCapUsd': '49450069940.2300119599737824',\n", + " 'volumeUsd24Hr': '530918969.8808032656188145',\n", + " 'priceUsd': '296.4612086496551688',\n", + " 'changePercent24Hr': '-3.9195134747643902',\n", + " 'vwap24Hr': '301.7653744739193769',\n", + " 'explorer': 'https://etherscan.io/token/0xB8c77482e45F1F44dE1745F52C74426C631bDD52'},\n", + " {'id': 'xrp',\n", + " 'rank': '6',\n", + " 'symbol': 'XRP',\n", + " 'name': 'XRP',\n", + " 'supply': '45404028640.0000000000000000',\n", + " 'maxSupply': '100000000000.0000000000000000',\n", + " 'marketCapUsd': '18890149687.6494914054321600',\n", + " 'volumeUsd24Hr': '655188763.8084065239150336',\n", + " 'priceUsd': '0.4160456737754690',\n", + " 'changePercent24Hr': '-4.3732115333643298',\n", + " 'vwap24Hr': '0.4280447791150172',\n", + " 'explorer': 'https://xrpcharts.ripple.com/#/graph/'},\n", + " {'id': 'binance-usd',\n", + " 'rank': '7',\n", + " 'symbol': 'BUSD',\n", + " 'name': 'Binance USD',\n", + " 'supply': '18194582205.6292570000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '18221227463.9117328919719421',\n", + " 'volumeUsd24Hr': '1015026987.8137026430064857',\n", + " 'priceUsd': '1.0014644611226210',\n", + " 'changePercent24Hr': '0.0304859127779298',\n", + " 'vwap24Hr': '1.0007275812805348',\n", + " 'explorer': 'https://etherscan.io/token/0x4Fabb145d64652a948d72533023f6E7A623C7C53'},\n", + " {'id': 'cardano',\n", + " 'rank': '8',\n", + " 'symbol': 'ADA',\n", + " 'name': 'Cardano',\n", + " 'supply': '33752565071.2880000000000000',\n", + " 'maxSupply': '45000000000.0000000000000000',\n", + " 'marketCapUsd': '18097200914.8046405095913994',\n", + " 'volumeUsd24Hr': '425958079.5206426822667387',\n", + " 'priceUsd': '0.5361726101877581',\n", + " 'changePercent24Hr': '-9.2566820596325633',\n", + " 'vwap24Hr': '0.5639690367841696',\n", + " 'explorer': 'https://cardanoexplorer.com/'},\n", + " {'id': 'solana',\n", + " 'rank': '9',\n", + " 'symbol': 'SOL',\n", + " 'name': 'Solana',\n", + " 'supply': '337355749.2585833000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '17519481399.1946427780155860',\n", + " 'volumeUsd24Hr': '397833540.4704229932576846',\n", + " 'priceUsd': '51.9317706536726432',\n", + " 'changePercent24Hr': '-9.7488116052867695',\n", + " 'vwap24Hr': '54.9972929961553200',\n", + " 'explorer': 'https://explorer.solana.com/'},\n", + " {'id': 'dogecoin',\n", + " 'rank': '10',\n", + " 'symbol': 'DOGE',\n", + " 'name': 'Dogecoin',\n", + " 'supply': '132670764299.8940900000000000',\n", + " 'maxSupply': None,\n", + " 'marketCapUsd': '11557163404.8850639974141791',\n", + " 'volumeUsd24Hr': '292303845.1614176828526928',\n", + " 'priceUsd': '0.0871116064332064',\n", + " 'changePercent24Hr': '-3.5163170802602344',\n", + " 'vwap24Hr': '0.0888273038819962',\n", + " 'explorer': 'http://dogechain.info/chain/Dogecoin'}]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "assets_json['data']" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "38954406-df6e-4874-86b5-baef7182a3e0", + "metadata": {}, + "outputs": [], + "source": [ + "def ids_with_histories(histories_df, start_date, end_date):\n", + " investment_df = histories_df[start_date:end_date]\n", + " investment_df.dropna(axis=1, inplace=True) # drop cols with any NaN values\n", + " return investment_df.columns\n", + "\n", + "def uniform_weights_dict(ids_with_histories):\n", + " weight = 1/len(ids_with_histories)\n", + " uniform_weights_dict = {}\n", + " for id in ids_with_histories:\n", + " uniform_weights_dict[id] = weight\n", + " return uniform_weights_dict\n", + "\n", + "\n", + "def markowitz_weights_dict(histories_df,start_port_date,ids_with_histories, analysis_days=365):\n", + " start_analysis_date = start_port_date - timedelta(analysis_days)\n", + " analysis_df = histories_df[start_analysis_date:start_port_date][ids_with_histories]\n", + "\n", + " # Calculate expected returns and sample covariance\n", + " mu = expected_returns.mean_historical_return(analysis_df)\n", + " S = risk_models.sample_cov(analysis_df)\n", + " # Optimize for maximal Sharpe ratio\n", + " attempts=0\n", + " while attempts < 10:\n", + " try:\n", + " ef = EfficientFrontier(mu, S, weight_bounds=(0, 1))\n", + " ef.max_sharpe()\n", + " break\n", + " except Exception as e:\n", + " attempts += 1\n", + " try:\n", + " cleaned_weights = ef.clean_weights()\n", + " except Exception as e:\n", + " print(\"Could not find optimal solution, try changing optimisation constraints or investment set\")\n", + " return cleaned_weights\n", + "\n", + "\n", + "def gen_port_rtns(rebased_df, weights_dict):\n", + " return rebased_df[list(weights_dict.keys())].dot(list(weights_dict.values()))\n", + "\n", + "def gen_rebased_df(histories_df, ids_with_histories, start_date, end_date):\n", + " returns_df = histories_df[ids_with_histories].pct_change(1)\n", + " returns_df[start_date:start_date]=0\n", + " return (1 + returns_df[start_date:end_date]).cumprod()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "17db1003-8c68-4dc3-90c0-c43a4da5de77", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_23455/2151836904.py:3: SettingWithCopyWarning:\n", + "\n", + "\n", + "A value is trying to be set on a copy of a slice from a DataFrame\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + "\n" + ] + } + ], + "source": [ + "lookback_years = 5\n", + "start_date = date.today() - timedelta(365)\n", + "end_date = date.today()\n", + "ids_with_histories = ids_with_histories(histories_df,\n", + " start_date, end_date)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "520dacdc-7125-4cf1-9ccc-cc5736efdc39", + "metadata": {}, + "outputs": [], + "source": [ + "uniform_weights_dict = uniform_weights_dict(ids_with_histories[:10])\n", + "markowitz_weights_dict = markowitz_weights_dict(histories_df,\n", + " start_date ,ids_with_histories[:10], analysis_days=365)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "36410577-2601-4633-9bab-8500800e68fc", + "metadata": {}, + "outputs": [], + "source": [ + "rebased_df = gen_rebased_df(histories_df, ids_with_histories,\n", + " start_date, end_date)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "da262c28-4716-4990-948b-ee34340b7fbb", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def gen_portfolio_returns(rebased_df, ids_with_histories,uniform_weights_dict,\n", + " markowitz_weights_dict):\n", + " uniform_returns = gen_port_rtns(rebased_df, uniform_weights_dict)\n", + " uniform_returns.name = \"Uniform\"\n", + " markowitz_returns = gen_port_rtns(rebased_df, markowitz_weights_dict)\n", + " markowitz_returns.name = \"Markowitz\"\n", + " port_returns = uniform_returns.to_frame().join(markowitz_returns)\n", + " #port_returns = uniform_returns.merge(markowitz_returns, how='inner', left_index=True, right_index=True)\n", + " return port_returns" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "fa99737e-247b-408a-aa28-17fe00979648", + "metadata": {}, + "outputs": [], + "source": [ + "uniform_returns = gen_port_rtns(rebased_df, uniform_weights_dict)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "f22c7377-a524-4d8b-a079-b7c4d9a95e02", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "date\n", + "2021-05-24 1.000000\n", + "2021-05-25 1.057165\n", + "2021-05-26 1.103699\n", + "2021-05-27 1.094057\n", + "2021-05-28 1.035221\n", + "dtype: float64" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "uniform_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "3e8d2206-e664-4981-9d02-26140fed3628", + "metadata": {}, + "outputs": [], + "source": [ + "markowitz_returns = gen_port_rtns(rebased_df, markowitz_weights_dict)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "f758d894-d527-4ab7-aa1b-1f7459b9c38f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "date\n", + "2021-05-24 1.000000\n", + "2021-05-25 1.015792\n", + "2021-05-26 1.018414\n", + "2021-05-27 1.016329\n", + "2021-05-28 1.005436\n", + "dtype: float64" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "markowitz_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "ebc2a8a0-2e1a-4dcd-828c-78fc8d1fee33", + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "Other Series must have a name", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_23455/780308021.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mport_returns\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0muniform_returns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_frame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjoin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmarkowitz_returns\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/usr/local/lib/python3.9/site-packages/pandas/core/frame.py\u001b[0m in \u001b[0;36mjoin\u001b[0;34m(self, other, on, how, lsuffix, rsuffix, sort)\u001b[0m\n\u001b[1;32m 9252\u001b[0m \u001b[0;36m5\u001b[0m \u001b[0mK1\u001b[0m \u001b[0mA5\u001b[0m \u001b[0mB1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9253\u001b[0m \"\"\"\n\u001b[0;32m-> 9254\u001b[0;31m return self._join_compat(\n\u001b[0m\u001b[1;32m 9255\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mon\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mon\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhow\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mhow\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlsuffix\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlsuffix\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrsuffix\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mrsuffix\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msort\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msort\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9256\u001b[0m )\n", + "\u001b[0;32m/usr/local/lib/python3.9/site-packages/pandas/core/frame.py\u001b[0m in \u001b[0;36m_join_compat\u001b[0;34m(self, other, on, how, lsuffix, rsuffix, sort)\u001b[0m\n\u001b[1;32m 9270\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mSeries\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9271\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 9272\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Other Series must have a name\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 9273\u001b[0m \u001b[0mother\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataFrame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9274\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: Other Series must have a name" + ] + } + ], + "source": [ + "port_returns = uniform_returns.to_frame().join(markowitz_returns)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": 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... 1.000000 \n", + "2021-05-25 1.004241 1.067167 1.014951 1.073591 ... 1.015432 \n", + "2021-05-26 0.998892 1.180429 1.169596 1.066176 ... 1.157293 \n", + "2021-05-27 0.998899 1.166563 1.168901 1.029881 ... 1.159935 \n", + "2021-05-28 0.998932 1.070248 1.072628 0.970984 ... 1.011761 \n", + "... ... ... ... ... ... ... \n", + "2022-05-13 1.000345 0.381207 1.761244 0.274741 ... 1.048341 \n", + "2022-05-14 1.000207 0.359305 1.726351 0.268540 ... 0.995878 \n", + "2022-05-15 0.999817 0.377102 1.833901 0.271010 ... 1.188868 \n", + "2022-05-16 1.000452 0.390219 1.889197 0.268379 ... 1.205207 \n", + "2022-05-17 0.999466 0.394083 1.929546 0.272369 ... 1.119391 \n", + "\n", + " compound kava holo gatetoken fei-protocol \\\n", + "date \n", + "2021-05-24 1.000000 1.000000 1.000000 1.000000 1.000000 \n", + "2021-05-25 1.051228 1.084118 1.231873 1.106947 1.004524 \n", + "2021-05-26 1.142980 1.216742 1.508202 1.167414 1.001874 \n", + "2021-05-27 1.114319 1.253248 1.432746 1.155625 0.999451 \n", + "2021-05-28 1.007871 1.218521 1.269149 1.053198 0.994776 \n", + "... ... ... ... ... ... \n", + "2022-05-13 0.180244 0.694356 0.399718 1.318051 0.997489 \n", + "2022-05-14 0.178446 0.719093 0.383262 1.282516 0.989501 \n", + "2022-05-15 0.184456 0.802310 0.387249 1.293033 0.990860 \n", + "2022-05-16 0.179271 0.818549 0.380417 1.277471 0.983836 \n", + "2022-05-17 0.181975 0.858681 0.387170 1.304660 0.988791 \n", + "\n", + " kyber-network qtum bancor 1inch \n", + "date \n", + "2021-05-24 1.000000 1.000000 1.000000 1.000000 \n", + "2021-05-25 1.037904 1.264676 1.078122 1.064602 \n", + "2021-05-26 1.153683 1.288506 1.173015 1.220068 \n", + "2021-05-27 1.178437 1.424998 1.192224 1.226486 \n", + "2021-05-28 1.072810 1.336266 1.095105 1.125980 \n", + "... ... ... ... ... \n", + "2022-05-13 0.995574 0.425182 0.341212 0.341313 \n", + "2022-05-14 0.985362 0.416411 0.330839 0.352400 \n", + "2022-05-15 1.002330 0.431056 0.341055 0.355338 \n", + "2022-05-16 0.974145 0.429696 0.340407 0.352632 \n", + "2022-05-17 1.136181 0.439168 0.345518 0.356643 \n", + "\n", + "[359 rows x 85 columns]" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rebased_df[ids_with_histories]" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "ae41c1b2-0aef-44cb-9288-629d824759ba", + "metadata": {}, + "outputs": [], + "source": [ + "import glob\n", + "from PIL import Image" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "2d603255-df11-434a-ad1f-deca5f3609ee", + "metadata": {}, + "outputs": [], + "source": [ + "for filename in glob.glob('logos/*.png'): #assuming all logos are png format\n", + " im=Image.open(filename)\n", + " im = im.convert('RGB')\n", + " im.save('logos/{}.jpg'.format(filename[6:][:-4]))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "181ae0ae-9dcf-4dab-92e9-80a0822fb758", + "metadata": {}, + "outputs": [], + "source": [ + "def gen_all_returns(rebased_df, ids_with_histories,uniform_weights_dict,\n", + " markowitz_weights_dict):\n", + " '''\n", + " A function to generate returns for all portfolios and all coins with full\n", + " histories over the backtest period, rebased to the start of the backtest\n", + " period.\n", + " '''\n", + " uniform_returns = gen_port_rtns(rebased_df, uniform_weights_dict)\n", + " uniform_returns.name = \"Uniform\"\n", + " markowitz_returns = gen_port_rtns(rebased_df, markowitz_weights_dict)\n", + " markowitz_returns.name = \"Markowitz\"\n", + " port_returns = uniform_returns.to_frame().join(markowitz_returns)\n", + " return port_returns.join(rebased_df[ids_with_histories])" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "170b6988-a8bd-4fa5-9123-eb79c20bce29", + "metadata": {}, + "outputs": [], + "source": [ + "all_returns_df = gen_all_returns(rebased_df, ids_with_histories,uniform_weights_dict,\n", + " markowitz_weights_dict)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "64e99f37-2121-4cc5-838e-254cff09de9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Uniform Markowitz bitcoin ethereum tether usd-coin \\\n", + "date \n", + "2021-05-24 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 \n", + "2021-05-25 1.057165 1.015792 1.035396 1.104084 1.004346 1.008332 \n", + "2021-05-26 1.103699 1.018414 1.059262 1.182178 0.998764 0.998087 \n", + "2021-05-27 1.094057 1.016329 1.047055 1.171337 0.998721 0.997785 \n", + "2021-05-28 1.035221 1.005436 0.988150 1.081310 0.998400 0.997946 \n", + "\n", + " binance-coin xrp binance-usd cardano ... arweave \\\n", + "date ... \n", + "2021-05-24 1.000000 1.000000 1.000000 1.000000 ... 1.000000 \n", + "2021-05-25 1.117736 1.141806 1.004241 1.067167 ... 1.015432 \n", + "2021-05-26 1.211152 1.172456 0.998892 1.180429 ... 1.157293 \n", + "2021-05-27 1.209819 1.151604 0.998899 1.166563 ... 1.159935 \n", + "2021-05-28 1.118547 1.055065 0.998932 1.070248 ... 1.011761 \n", + "\n", + " compound kava holo gatetoken fei-protocol \\\n", + "date \n", + "2021-05-24 1.000000 1.000000 1.000000 1.000000 1.000000 \n", + "2021-05-25 1.051228 1.084118 1.231873 1.106947 1.004524 \n", + "2021-05-26 1.142980 1.216742 1.508202 1.167414 1.001874 \n", + "2021-05-27 1.114319 1.253248 1.432746 1.155625 0.999451 \n", + "2021-05-28 1.007871 1.218521 1.269149 1.053198 0.994776 \n", + "\n", + " kyber-network qtum bancor 1inch \n", + "date \n", + "2021-05-24 1.000000 1.000000 1.000000 1.000000 \n", + "2021-05-25 1.037904 1.264676 1.078122 1.064602 \n", + "2021-05-26 1.153683 1.288506 1.173015 1.220068 \n", + "2021-05-27 1.178437 1.424998 1.192224 1.226486 \n", + "2021-05-28 1.072810 1.336266 1.095105 1.125980 \n", + "\n", + "[5 rows x 87 columns]" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_returns_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "05b56bcb-e6cc-4ab4-acc9-82bb34af17e5", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'all_returns_df' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_62511/782401270.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0massets\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mall_returns_df\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mperformance_df\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mDataFrame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindex\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0massets\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mperformance_df\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'Type'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Portfolio\"\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m \u001b[0;32min\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m'Uniform'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'Markowitz'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;34m\"Coin\"\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mx\u001b[0m \u001b[0;32min\u001b[0m \u001b[0massets\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'all_returns_df' is not defined" + ] + } + ], + "source": [ + "assets = all_returns_df.columns\n", + "performance_df = pd.DataFrame(index = assets)\n", + "performance_df['Type'] = [\"Portfolio\" if x in ['Uniform','Markowitz'] else \"Coin\" for x in assets]" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "600f2068-ac8c-4006-a5bd-73b75c0b86b1", + "metadata": {}, + "outputs": [], + "source": [ + "def absolute_return(prices):\n", + " 'a function to calculate the absolute return given a daily price series'\n", + " abs_rtn = ((prices.iloc[-1]/prices[0])-1)\n", + " return abs_rtn\n", + "\n", + "def annual_return(prices):\n", + " 'a function to calculate the annualised return given a daily price series'\n", + " abs_rtn = absolute_return(prices)\n", + " annual_rnt = (pow((abs_rtn/100)+1, 365/len(prices))-1)*100\n", + " return annual_rnt\n", + "\n", + "def max_drawdown(prices):\n", + " '''\n", + " A function to calculate the max drawdown for a given price series \"prices\"\n", + " as well as the index of the start of the max drawdown period, \"start_idx\"\n", + " and the index of end of the max drawdwon period, \"end index\"\n", + " '''\n", + " if type(prices)==type(pd.Series(dtype='object')):\n", + " prices = prices.values\n", + " end_idx = np.argmax(np.maximum.accumulate(prices) - prices) # end of the period\n", + " start_idx = np.argmax(prices[:end_idx]) # start of period\n", + " max_dd = (prices[start_idx]-prices[end_idx])/prices[start_idx]\n", + " return max_dd, start_idx, end_idx\n", + "\n", + "def annual_vol(prices):\n", + " '''\n", + " A function to calculate the annuaised volatility of a price series assuming\n", + " cryptos trade 365 days a year\n", + " '''\n", + " return prices.pct_change().std()*(365**0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "id": "a59742d5-3fdc-4d22-a227-5f9751167c8f", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'absolute_return' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/ff/pmf9d5156jz_pr_s8ybs3x780000gn/T/ipykernel_23455/393568676.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mabsolute_return\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_returns_df\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'Uniform'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'absolute_return' is not defined" + ] + } + ], + "source": [ + "absolute_return(all_returns_df['Uniform'])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d578fca9-0ed3-4c09-8a36-bd11b33574fb", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}