backtest_monthly_portfolio_rebalancing_SPY.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Backtesting Strategy: Monthly Portfolio Rebalancing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import yfinance as yf\n",
    "import datetime as dt\n",
    "import copy\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KPIs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [],
   "source": [
    "def CAGR(DF):\n",
    "    '''calculates the Cumulative Average Growth Rate of a monthly trading strategy'''\n",
    "    df = DF.copy()\n",
    "    df['cum_return'] = (1 + df.monthly_ret).cumprod()\n",
    "    n = len(df)/12\n",
    "    CAGR = (df.cum_return.tolist()[-1]**(1/n) - 1)\n",
    "    return CAGR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "def volatility(DF):\n",
    "    '''calculates annualized volatility of a monthly trading strategy'''\n",
    "    df = DF.copy()\n",
    "    vol = df.monthly_ret.std() * np.sqrt(12)\n",
    "    return vol"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sharpe Ratio: average return earned in excess of the risk-free rate per unit of volatility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sharpe(DF, rf=.02):\n",
    "    '''calculates Sharpe Ratio; rf is the risk-free rate'''\n",
    "    df = DF.copy()\n",
    "    sr = (CAGR(df) - rf) / volatility(df)\n",
    "    return sr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "def max_dd(DF):\n",
    "    '''calculates maximum drawdown of monthly returns'''\n",
    "    df = DF.copy()\n",
    "    df['cum_return'] = (1 + df.monthly_ret).cumprod()\n",
    "    df['cum_roll_max'] = df.cum_return.cummax()\n",
    "    df['drawdown'] = df.cum_roll_max - df.cum_return\n",
    "    df['drawdown_pct'] = df.drawdown / df.cum_roll_max\n",
    "    max_dd = df.drawdown_pct.max()\n",
    "    return max_dd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get S&P500 Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get S&P500 constituents as of 11/5/2021\n",
    "import datapackage\n",
    "\n",
    "def get_data():\n",
    "    data_url = 'https://datahub.io/core/s-and-p-500-companies/datapackage.json'\n",
    "\n",
    "    # to load Data Package into storage\n",
    "    package = datapackage.Package(data_url)\n",
    "\n",
    "    # to load only tabular data\n",
    "    resources = package.resources\n",
    "    for resource in resources:\n",
    "        if resource.tabular:\n",
    "            data = pd.read_csv(resource.descriptor['path'])\n",
    "            return data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "spy_df = get_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# reformat tickers to match yahoofinance tickers\n",
    "spy_df.Symbol = spy_df.Symbol.replace({'BRK.B':'BRK-B', 'BF.B':'BF-B'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    }
   ],
   "source": [
    "ohlc_m = {} # dict with monthly OHLCV dataframe for each stock\n",
    "start = dt.datetime.today()-dt.timedelta(3650) # 10 years\n",
    "end = dt.datetime.today()\n",
    "\n",
    "tickers = spy_df.Symbol.to_list()\n",
    "\n",
    "# loop over tickers and create df with close prices\n",
    "for ticker in tickers:\n",
    "    ohlc_m[ticker] = yf.download(ticker, start, end, interval='1mo')\n",
    "    ohlc_m[ticker].dropna(inplace=True, how='all')\n",
    "\n",
    "# redefine tickers after removing any tickers with corrupted data\n",
    "tickers = ohlc_m.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "505"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(tickers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note that this simple backtesting strategy does not account for survivorship bias. For example, TSLA was introduced into the S&P500 on December 21, 2020, but this strategy will include TSLA performance from the past 10 years and will be compared to S&P500 returns over the same period. Note that for a time scale of 10 years, it will have severe impact.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TSLA cumulative return from 2011-11-01 to 2021-11-05 is 18563.56%\n"
     ]
    }
   ],
   "source": [
    "current_tsla_price = ohlc_m['TSLA']['Adj Close'][-1]\n",
    "original_tsla_price = ohlc_m['TSLA']['Adj Close'][0]\n",
    "\n",
    "tsla_cum_return = (current_tsla_price - original_tsla_price) / original_tsla_price\n",
    "print(f'TSLA cumulative return from 2011-11-01 to 2021-11-05 is {round(tsla_cum_return*100,2)}%')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate Returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating monthly returns for  MMM\n",
      "Calculating monthly returns for  AOS\n",
      "Calculating monthly returns for  ABT\n",
      "Calculating monthly returns for  ABBV\n",
      "Calculating monthly returns for  ABMD\n",
      "Calculating monthly returns for  ACN\n",
      "Calculating monthly returns for  ATVI\n",
      "Calculating monthly returns for  ADM\n",
      "Calculating monthly returns for  ADBE\n",
      "Calculating monthly returns for  AAP\n",
      "Calculating monthly returns for  AMD\n",
      "Calculating monthly returns for  AES\n",
      "Calculating monthly returns for  AFL\n",
      "Calculating monthly returns for  A\n",
      "Calculating monthly returns for  APD\n",
      "Calculating monthly returns for  AKAM\n",
      "Calculating monthly returns for  ALK\n",
      "Calculating monthly returns for  ALB\n",
      "Calculating monthly returns for  ARE\n",
      "Calculating monthly returns for  ALGN\n",
      "Calculating monthly returns for  ALLE\n",
      "Calculating monthly returns for  LNT\n",
      "Calculating monthly returns for  ALL\n",
      "Calculating monthly returns for  GOOGL\n",
      "Calculating monthly returns for  GOOG\n",
      "Calculating monthly returns for  MO\n",
      "Calculating monthly returns for  AMZN\n",
      "Calculating monthly returns for  AMCR\n",
      "Calculating monthly returns for  AEE\n",
      "Calculating monthly returns for  AAL\n",
      "Calculating monthly returns for  AEP\n",
      "Calculating monthly returns for  AXP\n",
      "Calculating monthly returns for  AIG\n",
      "Calculating monthly returns for  AMT\n",
      "Calculating monthly returns for  AWK\n",
      "Calculating monthly returns for  AMP\n",
      "Calculating monthly returns for  ABC\n",
      "Calculating monthly returns for  AME\n",
      "Calculating monthly returns for  AMGN\n",
      "Calculating monthly returns for  APH\n",
      "Calculating monthly returns for  ADI\n",
      "Calculating monthly returns for  ANSS\n",
      "Calculating monthly returns for  ANTM\n",
      "Calculating monthly returns for  AON\n",
      "Calculating monthly returns for  APA\n",
      "Calculating monthly returns for  AAPL\n",
      "Calculating monthly returns for  AMAT\n",
      "Calculating monthly returns for  APTV\n",
      "Calculating monthly returns for  ANET\n",
      "Calculating monthly returns for  AJG\n",
      "Calculating monthly returns for  AIZ\n",
      "Calculating monthly returns for  T\n",
      "Calculating monthly returns for  ATO\n",
      "Calculating monthly returns for  ADSK\n",
      "Calculating monthly returns for  ADP\n",
      "Calculating monthly returns for  AZO\n",
      "Calculating monthly returns for  AVB\n",
      "Calculating monthly returns for  AVY\n",
      "Calculating monthly returns for  BKR\n",
      "Calculating monthly returns for  BLL\n",
      "Calculating monthly returns for  BAC\n",
      "Calculating monthly returns for  BBWI\n",
      "Calculating monthly returns for  BAX\n",
      "Calculating monthly returns for  BDX\n",
      "Calculating monthly returns for  BRK-B\n",
      "Calculating monthly returns for  BBY\n",
      "Calculating monthly returns for  BIO\n",
      "Calculating monthly returns for  TECH\n",
      "Calculating monthly returns for  BIIB\n",
      "Calculating monthly returns for  BLK\n",
      "Calculating monthly returns for  BK\n",
      "Calculating monthly returns for  BA\n",
      "Calculating monthly returns for  BKNG\n",
      "Calculating monthly returns for  BWA\n",
      "Calculating monthly returns for  BXP\n",
      "Calculating monthly returns for  BSX\n",
      "Calculating monthly returns for  BMY\n",
      "Calculating monthly returns for  AVGO\n",
      "Calculating monthly returns for  BR\n",
      "Calculating monthly returns for  BRO\n",
      "Calculating monthly returns for  BF-B\n",
      "Calculating monthly returns for  CHRW\n",
      "Calculating monthly returns for  CDNS\n",
      "Calculating monthly returns for  CZR\n",
      "Calculating monthly returns for  CPB\n",
      "Calculating monthly returns for  COF\n",
      "Calculating monthly returns for  CAH\n",
      "Calculating monthly returns for  KMX\n",
      "Calculating monthly returns for  CCL\n",
      "Calculating monthly returns for  CARR\n",
      "Calculating monthly returns for  CTLT\n",
      "Calculating monthly returns for  CAT\n",
      "Calculating monthly returns for  CBOE\n",
      "Calculating monthly returns for  CBRE\n",
      "Calculating monthly returns for  CDW\n",
      "Calculating monthly returns for  CE\n",
      "Calculating monthly returns for  CNC\n",
      "Calculating monthly returns for  CNP\n",
      "Calculating monthly returns for  CDAY\n",
      "Calculating monthly returns for  CERN\n",
      "Calculating monthly returns for  CF\n",
      "Calculating monthly returns for  CRL\n",
      "Calculating monthly returns for  SCHW\n",
      "Calculating monthly returns for  CHTR\n",
      "Calculating monthly returns for  CVX\n",
      "Calculating monthly returns for  CMG\n",
      "Calculating monthly returns for  CB\n",
      "Calculating monthly returns for  CHD\n",
      "Calculating monthly returns for  CI\n",
      "Calculating monthly returns for  CINF\n",
      "Calculating monthly returns for  CTAS\n",
      "Calculating monthly returns for  CSCO\n",
      "Calculating monthly returns for  C\n",
      "Calculating monthly returns for  CFG\n",
      "Calculating monthly returns for  CTXS\n",
      "Calculating monthly returns for  CLX\n",
      "Calculating monthly returns for  CME\n",
      "Calculating monthly returns for  CMS\n",
      "Calculating monthly returns for  KO\n",
      "Calculating monthly returns for  CTSH\n",
      "Calculating monthly returns for  CL\n",
      "Calculating monthly returns for  CMCSA\n",
      "Calculating monthly returns for  CMA\n",
      "Calculating monthly returns for  CAG\n",
      "Calculating monthly returns for  COP\n",
      "Calculating monthly returns for  ED\n",
      "Calculating monthly returns for  STZ\n",
      "Calculating monthly returns for  CPRT\n",
      "Calculating monthly returns for  GLW\n",
      "Calculating monthly returns for  CTVA\n",
      "Calculating monthly returns for  COST\n",
      "Calculating monthly returns for  CTRA\n",
      "Calculating monthly returns for  CCI\n",
      "Calculating monthly returns for  CSX\n",
      "Calculating monthly returns for  CMI\n",
      "Calculating monthly returns for  CVS\n",
      "Calculating monthly returns for  DHI\n",
      "Calculating monthly returns for  DHR\n",
      "Calculating monthly returns for  DRI\n",
      "Calculating monthly returns for  DVA\n",
      "Calculating monthly returns for  DE\n",
      "Calculating monthly returns for  DAL\n",
      "Calculating monthly returns for  XRAY\n",
      "Calculating monthly returns for  DVN\n",
      "Calculating monthly returns for  DXCM\n",
      "Calculating monthly returns for  FANG\n",
      "Calculating monthly returns for  DLR\n",
      "Calculating monthly returns for  DFS\n",
      "Calculating monthly returns for  DISCA\n",
      "Calculating monthly returns for  DISCK\n",
      "Calculating monthly returns for  DISH\n",
      "Calculating monthly returns for  DG\n",
      "Calculating monthly returns for  DLTR\n",
      "Calculating monthly returns for  D\n",
      "Calculating monthly returns for  DPZ\n",
      "Calculating monthly returns for  DOV\n",
      "Calculating monthly returns for  DOW\n",
      "Calculating monthly returns for  DTE\n",
      "Calculating monthly returns for  DUK\n",
      "Calculating monthly returns for  DRE\n",
      "Calculating monthly returns for  DD\n",
      "Calculating monthly returns for  DXC\n",
      "Calculating monthly returns for  EMN\n",
      "Calculating monthly returns for  ETN\n",
      "Calculating monthly returns for  EBAY\n",
      "Calculating monthly returns for  ECL\n",
      "Calculating monthly returns for  EIX\n",
      "Calculating monthly returns for  EW\n",
      "Calculating monthly returns for  EA\n",
      "Calculating monthly returns for  LLY\n",
      "Calculating monthly returns for  EMR\n",
      "Calculating monthly returns for  ENPH\n",
      "Calculating monthly returns for  ETR\n",
      "Calculating monthly returns for  EOG\n",
      "Calculating monthly returns for  EFX\n",
      "Calculating monthly returns for  EQIX\n",
      "Calculating monthly returns for  EQR\n",
      "Calculating monthly returns for  ESS\n",
      "Calculating monthly returns for  EL\n",
      "Calculating monthly returns for  ETSY\n",
      "Calculating monthly returns for  RE\n",
      "Calculating monthly returns for  EVRG\n",
      "Calculating monthly returns for  ES\n",
      "Calculating monthly returns for  EXC\n",
      "Calculating monthly returns for  EXPE\n",
      "Calculating monthly returns for  EXPD\n",
      "Calculating monthly returns for  EXR\n",
      "Calculating monthly returns for  XOM\n",
      "Calculating monthly returns for  FFIV\n",
      "Calculating monthly returns for  FB\n",
      "Calculating monthly returns for  FAST\n",
      "Calculating monthly returns for  FRT\n",
      "Calculating monthly returns for  FDX\n",
      "Calculating monthly returns for  FIS\n",
      "Calculating monthly returns for  FITB\n",
      "Calculating monthly returns for  FRC\n",
      "Calculating monthly returns for  FE\n",
      "Calculating monthly returns for  FISV\n",
      "Calculating monthly returns for  FLT\n",
      "Calculating monthly returns for  FMC\n",
      "Calculating monthly returns for  F\n",
      "Calculating monthly returns for  FTNT\n",
      "Calculating monthly returns for  FTV\n",
      "Calculating monthly returns for  FBHS\n",
      "Calculating monthly returns for  FOXA\n",
      "Calculating monthly returns for  FOX\n",
      "Calculating monthly returns for  BEN\n",
      "Calculating monthly returns for  FCX\n",
      "Calculating monthly returns for  GPS\n",
      "Calculating monthly returns for  GRMN\n",
      "Calculating monthly returns for  IT\n",
      "Calculating monthly returns for  GNRC\n",
      "Calculating monthly returns for  GD\n",
      "Calculating monthly returns for  GE\n",
      "Calculating monthly returns for  GIS\n",
      "Calculating monthly returns for  GM\n",
      "Calculating monthly returns for  GPC\n",
      "Calculating monthly returns for  GILD\n",
      "Calculating monthly returns for  GPN\n",
      "Calculating monthly returns for  GL\n",
      "Calculating monthly returns for  GS\n",
      "Calculating monthly returns for  HAL\n",
      "Calculating monthly returns for  HBI\n",
      "Calculating monthly returns for  HAS\n",
      "Calculating monthly returns for  HCA\n",
      "Calculating monthly returns for  PEAK\n",
      "Calculating monthly returns for  HSIC\n",
      "Calculating monthly returns for  HES\n",
      "Calculating monthly returns for  HPE\n",
      "Calculating monthly returns for  HLT\n",
      "Calculating monthly returns for  HOLX\n",
      "Calculating monthly returns for  HD\n",
      "Calculating monthly returns for  HON\n",
      "Calculating monthly returns for  HRL\n",
      "Calculating monthly returns for  HST\n",
      "Calculating monthly returns for  HWM\n",
      "Calculating monthly returns for  HPQ\n",
      "Calculating monthly returns for  HUM\n",
      "Calculating monthly returns for  HBAN\n",
      "Calculating monthly returns for  HII\n",
      "Calculating monthly returns for  IBM\n",
      "Calculating monthly returns for  IEX\n",
      "Calculating monthly returns for  IDXX\n",
      "Calculating monthly returns for  INFO\n",
      "Calculating monthly returns for  ITW\n",
      "Calculating monthly returns for  ILMN\n",
      "Calculating monthly returns for  INCY\n",
      "Calculating monthly returns for  IR\n",
      "Calculating monthly returns for  INTC\n",
      "Calculating monthly returns for  ICE\n",
      "Calculating monthly returns for  IFF\n",
      "Calculating monthly returns for  IP\n",
      "Calculating monthly returns for  IPG\n",
      "Calculating monthly returns for  INTU\n",
      "Calculating monthly returns for  ISRG\n",
      "Calculating monthly returns for  IVZ\n",
      "Calculating monthly returns for  IPGP\n",
      "Calculating monthly returns for  IQV\n",
      "Calculating monthly returns for  IRM\n",
      "Calculating monthly returns for  JBHT\n",
      "Calculating monthly returns for  JKHY\n",
      "Calculating monthly returns for  J\n",
      "Calculating monthly returns for  SJM\n",
      "Calculating monthly returns for  JNJ\n",
      "Calculating monthly returns for  JCI\n",
      "Calculating monthly returns for  JPM\n",
      "Calculating monthly returns for  JNPR\n",
      "Calculating monthly returns for  KSU\n",
      "Calculating monthly returns for  K\n",
      "Calculating monthly returns for  KEY\n",
      "Calculating monthly returns for  KEYS\n",
      "Calculating monthly returns for  KMB\n",
      "Calculating monthly returns for  KIM\n",
      "Calculating monthly returns for  KMI\n",
      "Calculating monthly returns for  KLAC\n",
      "Calculating monthly returns for  KHC\n",
      "Calculating monthly returns for  KR\n",
      "Calculating monthly returns for  LHX\n",
      "Calculating monthly returns for  LH\n",
      "Calculating monthly returns for  LRCX\n",
      "Calculating monthly returns for  LW\n",
      "Calculating monthly returns for  LVS\n",
      "Calculating monthly returns for  LEG\n",
      "Calculating monthly returns for  LDOS\n",
      "Calculating monthly returns for  LEN\n",
      "Calculating monthly returns for  LNC\n",
      "Calculating monthly returns for  LIN\n",
      "Calculating monthly returns for  LYV\n",
      "Calculating monthly returns for  LKQ\n",
      "Calculating monthly returns for  LMT\n",
      "Calculating monthly returns for  L\n",
      "Calculating monthly returns for  LOW\n",
      "Calculating monthly returns for  LUMN\n",
      "Calculating monthly returns for  LYB\n",
      "Calculating monthly returns for  MTB\n",
      "Calculating monthly returns for  MRO\n",
      "Calculating monthly returns for  MPC\n",
      "Calculating monthly returns for  MKTX\n",
      "Calculating monthly returns for  MAR\n",
      "Calculating monthly returns for  MMC\n",
      "Calculating monthly returns for  MLM\n",
      "Calculating monthly returns for  MAS\n",
      "Calculating monthly returns for  MA\n",
      "Calculating monthly returns for  MTCH\n",
      "Calculating monthly returns for  MKC\n",
      "Calculating monthly returns for  MCD\n",
      "Calculating monthly returns for  MCK\n",
      "Calculating monthly returns for  MDT\n",
      "Calculating monthly returns for  MRK\n",
      "Calculating monthly returns for  MET\n",
      "Calculating monthly returns for  MTD\n",
      "Calculating monthly returns for  MGM\n",
      "Calculating monthly returns for  MCHP\n",
      "Calculating monthly returns for  MU\n",
      "Calculating monthly returns for  MSFT\n",
      "Calculating monthly returns for  MAA\n",
      "Calculating monthly returns for  MRNA\n",
      "Calculating monthly returns for  MHK\n",
      "Calculating monthly returns for  TAP\n",
      "Calculating monthly returns for  MDLZ\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating monthly returns for  MPWR\n",
      "Calculating monthly returns for  MNST\n",
      "Calculating monthly returns for  MCO\n",
      "Calculating monthly returns for  MS\n",
      "Calculating monthly returns for  MSI\n",
      "Calculating monthly returns for  MSCI\n",
      "Calculating monthly returns for  NDAQ\n",
      "Calculating monthly returns for  NTAP\n",
      "Calculating monthly returns for  NFLX\n",
      "Calculating monthly returns for  NWL\n",
      "Calculating monthly returns for  NEM\n",
      "Calculating monthly returns for  NWSA\n",
      "Calculating monthly returns for  NWS\n",
      "Calculating monthly returns for  NEE\n",
      "Calculating monthly returns for  NLSN\n",
      "Calculating monthly returns for  NKE\n",
      "Calculating monthly returns for  NI\n",
      "Calculating monthly returns for  NSC\n",
      "Calculating monthly returns for  NTRS\n",
      "Calculating monthly returns for  NOC\n",
      "Calculating monthly returns for  NLOK\n",
      "Calculating monthly returns for  NCLH\n",
      "Calculating monthly returns for  NRG\n",
      "Calculating monthly returns for  NUE\n",
      "Calculating monthly returns for  NVDA\n",
      "Calculating monthly returns for  NVR\n",
      "Calculating monthly returns for  NXPI\n",
      "Calculating monthly returns for  ORLY\n",
      "Calculating monthly returns for  OXY\n",
      "Calculating monthly returns for  ODFL\n",
      "Calculating monthly returns for  OMC\n",
      "Calculating monthly returns for  OKE\n",
      "Calculating monthly returns for  ORCL\n",
      "Calculating monthly returns for  OGN\n",
      "Calculating monthly returns for  OTIS\n",
      "Calculating monthly returns for  PCAR\n",
      "Calculating monthly returns for  PKG\n",
      "Calculating monthly returns for  PH\n",
      "Calculating monthly returns for  PAYX\n",
      "Calculating monthly returns for  PAYC\n",
      "Calculating monthly returns for  PYPL\n",
      "Calculating monthly returns for  PENN\n",
      "Calculating monthly returns for  PNR\n",
      "Calculating monthly returns for  PBCT\n",
      "Calculating monthly returns for  PEP\n",
      "Calculating monthly returns for  PKI\n",
      "Calculating monthly returns for  PFE\n",
      "Calculating monthly returns for  PM\n",
      "Calculating monthly returns for  PSX\n",
      "Calculating monthly returns for  PNW\n",
      "Calculating monthly returns for  PXD\n",
      "Calculating monthly returns for  PNC\n",
      "Calculating monthly returns for  POOL\n",
      "Calculating monthly returns for  PPG\n",
      "Calculating monthly returns for  PPL\n",
      "Calculating monthly returns for  PFG\n",
      "Calculating monthly returns for  PG\n",
      "Calculating monthly returns for  PGR\n",
      "Calculating monthly returns for  PLD\n",
      "Calculating monthly returns for  PRU\n",
      "Calculating monthly returns for  PTC\n",
      "Calculating monthly returns for  PEG\n",
      "Calculating monthly returns for  PSA\n",
      "Calculating monthly returns for  PHM\n",
      "Calculating monthly returns for  PVH\n",
      "Calculating monthly returns for  QRVO\n",
      "Calculating monthly returns for  QCOM\n",
      "Calculating monthly returns for  PWR\n",
      "Calculating monthly returns for  DGX\n",
      "Calculating monthly returns for  RL\n",
      "Calculating monthly returns for  RJF\n",
      "Calculating monthly returns for  RTX\n",
      "Calculating monthly returns for  O\n",
      "Calculating monthly returns for  REG\n",
      "Calculating monthly returns for  REGN\n",
      "Calculating monthly returns for  RF\n",
      "Calculating monthly returns for  RSG\n",
      "Calculating monthly returns for  RMD\n",
      "Calculating monthly returns for  RHI\n",
      "Calculating monthly returns for  ROK\n",
      "Calculating monthly returns for  ROL\n",
      "Calculating monthly returns for  ROP\n",
      "Calculating monthly returns for  ROST\n",
      "Calculating monthly returns for  RCL\n",
      "Calculating monthly returns for  SPGI\n",
      "Calculating monthly returns for  CRM\n",
      "Calculating monthly returns for  SBAC\n",
      "Calculating monthly returns for  SLB\n",
      "Calculating monthly returns for  STX\n",
      "Calculating monthly returns for  SEE\n",
      "Calculating monthly returns for  SRE\n",
      "Calculating monthly returns for  NOW\n",
      "Calculating monthly returns for  SHW\n",
      "Calculating monthly returns for  SPG\n",
      "Calculating monthly returns for  SWKS\n",
      "Calculating monthly returns for  SNA\n",
      "Calculating monthly returns for  SO\n",
      "Calculating monthly returns for  LUV\n",
      "Calculating monthly returns for  SWK\n",
      "Calculating monthly returns for  SBUX\n",
      "Calculating monthly returns for  STT\n",
      "Calculating monthly returns for  STE\n",
      "Calculating monthly returns for  SYK\n",
      "Calculating monthly returns for  SIVB\n",
      "Calculating monthly returns for  SYF\n",
      "Calculating monthly returns for  SNPS\n",
      "Calculating monthly returns for  SYY\n",
      "Calculating monthly returns for  TMUS\n",
      "Calculating monthly returns for  TROW\n",
      "Calculating monthly returns for  TTWO\n",
      "Calculating monthly returns for  TPR\n",
      "Calculating monthly returns for  TGT\n",
      "Calculating monthly returns for  TEL\n",
      "Calculating monthly returns for  TDY\n",
      "Calculating monthly returns for  TFX\n",
      "Calculating monthly returns for  TER\n",
      "Calculating monthly returns for  TSLA\n",
      "Calculating monthly returns for  TXN\n",
      "Calculating monthly returns for  TXT\n",
      "Calculating monthly returns for  COO\n",
      "Calculating monthly returns for  HIG\n",
      "Calculating monthly returns for  HSY\n",
      "Calculating monthly returns for  MOS\n",
      "Calculating monthly returns for  TRV\n",
      "Calculating monthly returns for  DIS\n",
      "Calculating monthly returns for  TMO\n",
      "Calculating monthly returns for  TJX\n",
      "Calculating monthly returns for  TSCO\n",
      "Calculating monthly returns for  TT\n",
      "Calculating monthly returns for  TDG\n",
      "Calculating monthly returns for  TRMB\n",
      "Calculating monthly returns for  TFC\n",
      "Calculating monthly returns for  TWTR\n",
      "Calculating monthly returns for  TYL\n",
      "Calculating monthly returns for  TSN\n",
      "Calculating monthly returns for  USB\n",
      "Calculating monthly returns for  UDR\n",
      "Calculating monthly returns for  ULTA\n",
      "Calculating monthly returns for  UAA\n",
      "Calculating monthly returns for  UA\n",
      "Calculating monthly returns for  UNP\n",
      "Calculating monthly returns for  UAL\n",
      "Calculating monthly returns for  UPS\n",
      "Calculating monthly returns for  URI\n",
      "Calculating monthly returns for  UNH\n",
      "Calculating monthly returns for  UHS\n",
      "Calculating monthly returns for  VLO\n",
      "Calculating monthly returns for  VTR\n",
      "Calculating monthly returns for  VRSN\n",
      "Calculating monthly returns for  VRSK\n",
      "Calculating monthly returns for  VZ\n",
      "Calculating monthly returns for  VRTX\n",
      "Calculating monthly returns for  VFC\n",
      "Calculating monthly returns for  VIAC\n",
      "Calculating monthly returns for  VTRS\n",
      "Calculating monthly returns for  V\n",
      "Calculating monthly returns for  VNO\n",
      "Calculating monthly returns for  VMC\n",
      "Calculating monthly returns for  WRB\n",
      "Calculating monthly returns for  GWW\n",
      "Calculating monthly returns for  WAB\n",
      "Calculating monthly returns for  WBA\n",
      "Calculating monthly returns for  WMT\n",
      "Calculating monthly returns for  WM\n",
      "Calculating monthly returns for  WAT\n",
      "Calculating monthly returns for  WEC\n",
      "Calculating monthly returns for  WFC\n",
      "Calculating monthly returns for  WELL\n",
      "Calculating monthly returns for  WST\n",
      "Calculating monthly returns for  WDC\n",
      "Calculating monthly returns for  WU\n",
      "Calculating monthly returns for  WRK\n",
      "Calculating monthly returns for  WY\n",
      "Calculating monthly returns for  WHR\n",
      "Calculating monthly returns for  WMB\n",
      "Calculating monthly returns for  WLTW\n",
      "Calculating monthly returns for  WYNN\n",
      "Calculating monthly returns for  XEL\n",
      "Calculating monthly returns for  XLNX\n",
      "Calculating monthly returns for  XYL\n",
      "Calculating monthly returns for  YUM\n",
      "Calculating monthly returns for  ZBRA\n",
      "Calculating monthly returns for  ZBH\n",
      "Calculating monthly returns for  ZION\n",
      "Calculating monthly returns for  ZTS\n"
     ]
    }
   ],
   "source": [
    "ohlc_dict = copy.deepcopy(ohlc_m)\n",
    "returns_df = pd.DataFrame()\n",
    "for ticker in tickers:\n",
    "    print('Calculating monthly returns for ', ticker)\n",
    "    ohlc_dict[ticker]['monthly_ret'] = ohlc_dict[ticker]['Adj Close'].pct_change()\n",
    "    returns_df[ticker] = ohlc_dict[ticker]['monthly_ret'].fillna(0)\n",
    "# returns_df.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MMM</th>\n",
       "      <th>AOS</th>\n",
       "      <th>ABT</th>\n",
       "      <th>ABBV</th>\n",
       "      <th>ABMD</th>\n",
       "      <th>ACN</th>\n",
       "      <th>ATVI</th>\n",
       "      <th>ADM</th>\n",
       "      <th>ADBE</th>\n",
       "      <th>AAP</th>\n",
       "      <th>...</th>\n",
       "      <th>WLTW</th>\n",
       "      <th>WYNN</th>\n",
       "      <th>XEL</th>\n",
       "      <th>XLNX</th>\n",
       "      <th>XYL</th>\n",
       "      <th>YUM</th>\n",
       "      <th>ZBRA</th>\n",
       "      <th>ZBH</th>\n",
       "      <th>ZION</th>\n",
       "      <th>ZTS</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2021-08-01</th>\n",
       "      <td>-0.016166</td>\n",
       "      <td>0.037871</td>\n",
       "      <td>0.048530</td>\n",
       "      <td>0.050099</td>\n",
       "      <td>0.112551</td>\n",
       "      <td>0.062421</td>\n",
       "      <td>-0.014949</td>\n",
       "      <td>0.004689</td>\n",
       "      <td>0.067677</td>\n",
       "      <td>-0.043431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071040</td>\n",
       "      <td>0.034171</td>\n",
       "      <td>0.007326</td>\n",
       "      <td>0.038374</td>\n",
       "      <td>0.083115</td>\n",
       "      <td>-0.002740</td>\n",
       "      <td>0.062790</td>\n",
       "      <td>-0.079366</td>\n",
       "      <td>0.110259</td>\n",
       "      <td>0.010453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-09-01</th>\n",
       "      <td>-0.092333</td>\n",
       "      <td>-0.160204</td>\n",
       "      <td>-0.065205</td>\n",
       "      <td>-0.106889</td>\n",
       "      <td>-0.105616</td>\n",
       "      <td>-0.049441</td>\n",
       "      <td>-0.060459</td>\n",
       "      <td>0.006106</td>\n",
       "      <td>-0.132560</td>\n",
       "      <td>0.029776</td>\n",
       "      <td>...</td>\n",
       "      <td>0.053190</td>\n",
       "      <td>-0.166585</td>\n",
       "      <td>-0.090909</td>\n",
       "      <td>-0.029565</td>\n",
       "      <td>-0.090756</td>\n",
       "      <td>-0.063065</td>\n",
       "      <td>-0.122196</td>\n",
       "      <td>-0.027185</td>\n",
       "      <td>0.068912</td>\n",
       "      <td>-0.050939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-10-01</th>\n",
       "      <td>0.018584</td>\n",
       "      <td>0.196496</td>\n",
       "      <td>0.091086</td>\n",
       "      <td>0.063039</td>\n",
       "      <td>0.020030</td>\n",
       "      <td>0.121499</td>\n",
       "      <td>0.010337</td>\n",
       "      <td>0.070488</td>\n",
       "      <td>0.129646</td>\n",
       "      <td>0.084872</td>\n",
       "      <td>...</td>\n",
       "      <td>0.042244</td>\n",
       "      <td>0.059587</td>\n",
       "      <td>0.033440</td>\n",
       "      <td>0.192132</td>\n",
       "      <td>0.055870</td>\n",
       "      <td>0.021503</td>\n",
       "      <td>0.035951</td>\n",
       "      <td>-0.020579</td>\n",
       "      <td>0.017774</td>\n",
       "      <td>0.113629</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-11-01</th>\n",
       "      <td>0.017461</td>\n",
       "      <td>0.065957</td>\n",
       "      <td>-0.031343</td>\n",
       "      <td>0.034278</td>\n",
       "      <td>0.089357</td>\n",
       "      <td>0.030001</td>\n",
       "      <td>-0.132498</td>\n",
       "      <td>0.003892</td>\n",
       "      <td>0.019005</td>\n",
       "      <td>0.018668</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.045278</td>\n",
       "      <td>0.079287</td>\n",
       "      <td>-0.012231</td>\n",
       "      <td>0.102833</td>\n",
       "      <td>0.003216</td>\n",
       "      <td>0.013927</td>\n",
       "      <td>0.137747</td>\n",
       "      <td>-0.010201</td>\n",
       "      <td>0.028893</td>\n",
       "      <td>0.003649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-11-05</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 505 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 MMM       AOS       ABT      ABBV      ABMD       ACN  \\\n",
       "Date                                                                     \n",
       "2021-08-01 -0.016166  0.037871  0.048530  0.050099  0.112551  0.062421   \n",
       "2021-09-01 -0.092333 -0.160204 -0.065205 -0.106889 -0.105616 -0.049441   \n",
       "2021-10-01  0.018584  0.196496  0.091086  0.063039  0.020030  0.121499   \n",
       "2021-11-01  0.017461  0.065957 -0.031343  0.034278  0.089357  0.030001   \n",
       "2021-11-05  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000   \n",
       "\n",
       "                ATVI       ADM      ADBE       AAP  ...      WLTW      WYNN  \\\n",
       "Date                                                ...                       \n",
       "2021-08-01 -0.014949  0.004689  0.067677 -0.043431  ...  0.071040  0.034171   \n",
       "2021-09-01 -0.060459  0.006106 -0.132560  0.029776  ...  0.053190 -0.166585   \n",
       "2021-10-01  0.010337  0.070488  0.129646  0.084872  ...  0.042244  0.059587   \n",
       "2021-11-01 -0.132498  0.003892  0.019005  0.018668  ... -0.045278  0.079287   \n",
       "2021-11-05  0.000000  0.000000  0.000000  0.000000  ...  0.000000  0.000000   \n",
       "\n",
       "                 XEL      XLNX       XYL       YUM      ZBRA       ZBH  \\\n",
       "Date                                                                     \n",
       "2021-08-01  0.007326  0.038374  0.083115 -0.002740  0.062790 -0.079366   \n",
       "2021-09-01 -0.090909 -0.029565 -0.090756 -0.063065 -0.122196 -0.027185   \n",
       "2021-10-01  0.033440  0.192132  0.055870  0.021503  0.035951 -0.020579   \n",
       "2021-11-01 -0.012231  0.102833  0.003216  0.013927  0.137747 -0.010201   \n",
       "2021-11-05  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000   \n",
       "\n",
       "                ZION       ZTS  \n",
       "Date                            \n",
       "2021-08-01  0.110259  0.010453  \n",
       "2021-09-01  0.068912 -0.050939  \n",
       "2021-10-01  0.017774  0.113629  \n",
       "2021-11-01  0.028893  0.003649  \n",
       "2021-11-05  0.000000  0.000000  \n",
       "\n",
       "[5 rows x 505 columns]"
      ]
     },
     "execution_count": 235,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "returns_df.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 250,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pflio(DF, m, x, mult_alloc=True, print_pflio=True):\n",
    "    '''returns cumulative portfolio returns\n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    DF : dataframe with monthly return info for all stocks\n",
    "    m : number of stocks in the portfolio (equally weighted)\n",
    "    x : number of underperforming stocks to be removed from portfolio monthly\n",
    "    mult_alloc : if True, allows for multiple allocations of the same stock\n",
    "                 if False, only allows for unique stocks in portfolio each month\n",
    "    print_pflio : if True, prints monthly rebalanced portfolio\n",
    "    '''\n",
    "    df = DF.copy()\n",
    "    portfolio = []\n",
    "    monthly_ret_list = [0]\n",
    "    for i in range(len(df)):\n",
    "        if len(portfolio) > 0:\n",
    "            monthly_ret_list.append(df[portfolio].iloc[i,:].mean())\n",
    "            bad_stocks = df[portfolio].iloc[i,:].sort_values(ascending=True)[:x].index.values.tolist()\n",
    "            portfolio = [t for t in portfolio if t not in bad_stocks]\n",
    "        fill = m - len(portfolio)\n",
    "        if mult_alloc:\n",
    "            new_picks = df.iloc[i,:].sort_values(ascending=False)[:fill].index.values.tolist()\n",
    "        else:\n",
    "            new_picks = df[[t for t in tickers if t not in portfolio]].iloc[i,:].sort_values(ascending=False)[:fill].index.values.tolist()\n",
    "        portfolio += new_picks\n",
    "        if print_pflio:\n",
    "            print(df.index.date[i], portfolio)\n",
    "    monthly_ret_df = pd.DataFrame(np.array(monthly_ret_list), columns=['monthly_ret'])\n",
    "    return monthly_ret_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 251,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2011-12-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'NEE', 'WELL', 'WLTW', 'VTRS', 'MHK']\n",
      "2012-01-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'WELL', 'MHK', 'NFLX', 'ILMN', 'AAL']\n",
      "2012-02-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'MHK', 'ILMN', 'WHR', 'SWKS', 'STX']\n",
      "2012-03-01 ['MPWR', 'COO', 'VRTX', 'WY', 'MHK', 'ILMN', 'STX', 'PNR', 'BAC', 'JPM']\n",
      "2012-04-01 ['MPWR', 'COO', 'VRTX', 'WY', 'MHK', 'STX', 'JPM', 'AAL', 'EXPE', 'INCY']\n",
      "2012-05-01 ['COO', 'VRTX', 'WY', 'MHK', 'AAL', 'EXPE', 'INCY', 'VRTX', 'AAL', 'UAL']\n",
      "2012-06-01 ['WY', 'MHK', 'AAL', 'EXPE', 'INCY', 'AAL', 'UAL', 'STZ', 'MPC', 'CTRA']\n",
      "2012-07-01 ['WY', 'MHK', 'EXPE', 'INCY', 'STZ', 'MPC', 'CTRA', 'TMUS', 'WDC', 'CNC']\n",
      "2012-08-01 ['WY', 'MHK', 'STZ', 'MPC', 'TMUS', 'WDC', 'CNC', 'DXC', 'GNRC', 'GPS']\n",
      "2012-09-01 ['WY', 'MHK', 'MPC', 'TMUS', 'DXC', 'GNRC', 'GPS', 'NOW', 'VMC', 'TMUS']\n",
      "2012-10-01 ['WY', 'MHK', 'MPC', 'DXC', 'GNRC', 'GPS', 'VMC', 'GNRC', 'NFLX', 'URI']\n",
      "2012-11-01 ['WY', 'MHK', 'MPC', 'DXC', 'VMC', 'NFLX', 'URI', 'MDLZ', 'FB', 'PENN']\n",
      "2012-12-01 ['WY', 'MHK', 'MPC', 'DXC', 'VMC', 'NFLX', 'URI', 'ENPH', 'WDC', 'LYB']\n",
      "2013-01-01 ['MHK', 'MPC', 'VMC', 'NFLX', 'URI', 'WDC', 'LYB', 'NFLX', 'BBY', 'HCA']\n",
      "2013-02-01 ['MHK', 'MPC', 'NFLX', 'URI', 'WDC', 'NFLX', 'BBY', 'STZ', 'ENPH', 'ATVI']\n",
      "2013-03-01 ['MHK', 'MPC', 'URI', 'WDC', 'BBY', 'STZ', 'ENPH', 'BBY', 'AAL', 'ENPH']\n",
      "2013-04-01 ['WDC', 'BBY', 'STZ', 'ENPH', 'BBY', 'AAL', 'ENPH', 'TSLA', 'VRTX', 'AKAM']\n",
      "2013-05-01 ['WDC', 'BBY', 'STZ', 'ENPH', 'BBY', 'ENPH', 'TSLA', 'TSLA', 'AMD', 'EA']\n",
      "2013-06-01 ['ENPH', 'ENPH', 'TSLA', 'TSLA', 'AMD', 'EA', 'TMUS', 'MU', 'CBOE', 'LYV']\n",
      "2013-07-01 ['TSLA', 'TSLA', 'AMD', 'EA', 'TMUS', 'CBOE', 'LYV', 'FB', 'GNRC', 'OKE']\n",
      "2013-08-01 ['TSLA', 'TSLA', 'EA', 'TMUS', 'LYV', 'FB', 'OKE', 'INCY', 'TSLA', 'DXCM']\n",
      "2013-09-01 ['TSLA', 'TSLA', 'TMUS', 'LYV', 'FB', 'INCY', 'TSLA', 'REGN', 'ENPH', 'MU']\n",
      "2013-10-01 ['TMUS', 'LYV', 'FB', 'INCY', 'REGN', 'ENPH', 'MU', 'ABMD', 'XYL', 'CMG']\n",
      "2013-11-01 ['INCY', 'REGN', 'ENPH', 'MU', 'ABMD', 'XYL', 'CMG', 'INCY', 'MU', 'BIIB']\n",
      "2013-12-01 ['INCY', 'MU', 'XYL', 'CMG', 'INCY', 'MU', 'BIIB', 'TWTR', 'TMUS', 'MGM']\n",
      "2014-01-01 ['INCY', 'MU', 'CMG', 'INCY', 'MU', 'BIIB', 'MGM', 'ILMN', 'AAL', 'INCY']\n",
      "2014-02-01 ['MU', 'CMG', 'MU', 'BIIB', 'MGM', 'ILMN', 'AAL', 'TSLA', 'AKAM', 'ZBRA']\n",
      "2014-03-01 ['MU', 'CMG', 'MU', 'MGM', 'AAL', 'AKAM', 'ZBRA', 'FE', 'TSN', 'EXC']\n",
      "2014-04-01 ['MU', 'MU', 'MGM', 'AAL', 'ZBRA', 'FE', 'EXC', 'CTRA', 'CHRW', 'RMD']\n",
      "2014-05-01 ['MU', 'MU', 'MGM', 'AAL', 'ZBRA', 'EXC', 'CHRW', 'NFLX', 'EA', 'TMUS']\n",
      "2014-06-01 ['MU', 'MU', 'MGM', 'AAL', 'ZBRA', 'CHRW', 'NFLX', 'VRTX', 'TWTR', 'WMB']\n",
      "2014-07-01 ['MGM', 'ZBRA', 'CHRW', 'NFLX', 'VRTX', 'TWTR', 'WMB', 'ENPH', 'COO', 'DISCK']\n",
      "2014-08-01 ['NFLX', 'VRTX', 'TWTR', 'WMB', 'ENPH', 'COO', 'DISCK', 'PAYC', 'MNST', 'ENPH']\n",
      "2014-09-01 ['NFLX', 'VRTX', 'TWTR', 'ENPH', 'COO', 'MNST', 'ENPH', 'ULTA', 'VRTX', 'CTLT']\n",
      "2014-10-01 ['VRTX', 'COO', 'MNST', 'ULTA', 'VRTX', 'CTLT', 'INCY', 'ABMD', 'TYL', 'ALK']\n",
      "2014-11-01 ['MNST', 'ULTA', 'CTLT', 'INCY', 'ABMD', 'ALK', 'PAYC', 'DISH', 'LUV', 'ZTS']\n",
      "2014-12-01 ['MNST', 'ULTA', 'CTLT', 'INCY', 'ABMD', 'ALK', 'LUV', 'ENPH', 'KLAC', 'KMX']\n",
      "2015-01-01 ['MNST', 'ULTA', 'CTLT', 'INCY', 'ABMD', 'ALK', 'LUV', 'ABMD', 'NEM', 'NFLX']\n",
      "2015-02-01 ['MNST', 'ULTA', 'INCY', 'ABMD', 'ABMD', 'NEM', 'NFLX', 'MLM', 'FCX', 'IPGP']\n",
      "2015-03-01 ['MNST', 'ULTA', 'INCY', 'ABMD', 'ABMD', 'MLM', 'IPGP', 'NXPI', 'ABMD', 'CNC']\n",
      "2015-04-01 ['MNST', 'ULTA', 'INCY', 'MLM', 'IPGP', 'NXPI', 'CZR', 'NFLX', 'FCX', 'NEM']\n",
      "2015-05-01 ['INCY', 'MLM', 'IPGP', 'NXPI', 'CZR', 'NFLX', 'NEM', 'HUM', 'AVGO', 'QRVO']\n",
      "2015-06-01 ['INCY', 'MLM', 'IPGP', 'CZR', 'NFLX', 'AVGO', 'QRVO', 'ANET', 'ROL', 'CI']\n",
      "2015-07-01 ['INCY', 'MLM', 'IPGP', 'CZR', 'NFLX', 'ANET', 'ROL', 'ETSY', 'AMZN', 'CMG']\n",
      "2015-08-01 ['INCY', 'MLM', 'CZR', 'NFLX', 'ROL', 'AMZN', 'CMG', 'ABMD', 'PAYC', 'BBY']\n",
      "2015-09-01 ['INCY', 'CZR', 'ROL', 'AMZN', 'CMG', 'ABMD', 'BBY', 'TAP', 'NI', 'NVDA']\n",
      "2015-10-01 ['INCY', 'CZR', 'ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'TRMB', 'KLAC', 'LVS']\n",
      "2015-11-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'TRMB', 'KLAC', 'QRVO', 'ILMN', 'NXPI']\n",
      "2015-12-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'KLAC', 'ILMN', 'ENPH', 'DXC', 'AMD']\n",
      "2016-01-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'KLAC', 'DXC', 'CTRA', 'TPR', 'FANG']\n",
      "2016-02-01 ['ROL', 'NI', 'NVDA', 'KLAC', 'CTRA', 'TPR', 'FANG', 'FCX', 'NEM', 'HWM']\n",
      "2016-03-01 ['NI', 'NVDA', 'KLAC', 'CTRA', 'FANG', 'FCX', 'HWM', 'DVN', 'MRO', 'FCX']\n",
      "2016-04-01 ['CTRA', 'FANG', 'FCX', 'HWM', 'DVN', 'MRO', 'FCX', 'FCX', 'NEM', 'DVN']\n",
      "2016-05-01 ['CTRA', 'FANG', 'HWM', 'DVN', 'MRO', 'NEM', 'DVN', 'DXC', 'NVDA', 'AMD']\n",
      "2016-06-01 ['CTRA', 'MRO', 'NEM', 'DXC', 'NVDA', 'AMD', 'HSY', 'DXCM', 'NEM', 'SJM']\n",
      "2016-07-01 ['NEM', 'NVDA', 'AMD', 'HSY', 'DXCM', 'NEM', 'SJM', 'AMD', 'EBAY', 'STX']\n",
      "2016-08-01 ['NVDA', 'AMD', 'DXCM', 'SJM', 'AMD', 'EBAY', 'STX', 'ETSY', 'NTAP', 'ZBRA']\n",
      "2016-09-01 ['NVDA', 'DXCM', 'EBAY', 'STX', 'ETSY', 'NTAP', 'ZBRA', 'LDOS', 'APA', 'WDC']\n",
      "2016-10-01 ['NVDA', 'ETSY', 'NTAP', 'ZBRA', 'LDOS', 'APA', 'WDC', 'AKAM', 'NFLX', 'GPS']\n",
      "2016-11-01 ['NVDA', 'NTAP', 'ZBRA', 'LDOS', 'APA', 'WDC', 'AKAM', 'FCX', 'MRO', 'URI']\n",
      "2016-12-01 ['NVDA', 'NTAP', 'ZBRA', 'LDOS', 'WDC', 'AKAM', 'URI', 'AMD', 'CZR', 'NVDA']\n",
      "2017-01-01 ['NVDA', 'NTAP', 'ZBRA', 'WDC', 'AKAM', 'URI', 'NVDA', 'ENPH', 'NRG', 'DXCM']\n",
      "2017-02-01 ['NTAP', 'ZBRA', 'WDC', 'URI', 'ENPH', 'NRG', 'DXCM', 'AMD', 'ANET', 'HWM']\n",
      "2017-03-01 ['NTAP', 'ZBRA', 'WDC', 'NRG', 'DXCM', 'AMD', 'ANET', 'PENN', 'MU', 'FMC']\n",
      "2017-04-01 ['NTAP', 'ZBRA', 'WDC', 'ANET', 'PENN', 'MU', 'FMC', 'ALGN', 'EW', 'MTCH']\n",
      "2017-05-01 ['ZBRA', 'ANET', 'PENN', 'MU', 'ALGN', 'EW', 'MTCH', 'NVDA', 'ETSY', 'ADSK']\n",
      "2017-06-01 ['ANET', 'PENN', 'MU', 'ALGN', 'EW', 'NVDA', 'ETSY', 'ENPH', 'UAA', 'CTRA']\n",
      "2017-07-01 ['ANET', 'PENN', 'ALGN', 'EW', 'NVDA', 'ENPH', 'CTRA', 'NRG', 'BA', 'FCX']\n",
      "2017-08-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'NRG', 'FCX', 'BKR', 'TTWO', 'MTCH']\n",
      "2017-09-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'BKR', 'MTCH', 'ENPH', 'GPS', 'MU']\n",
      "2017-10-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'MTCH', 'MU', 'ALGN', 'TWTR', 'INTC']\n",
      "2017-11-01 ['ANET', 'PENN', 'ALGN', 'CTRA', 'MTCH', 'ALGN', 'TWTR', 'ENPH', 'BBWI', 'QCOM']\n",
      "2017-12-01 ['ANET', 'PENN', 'CTRA', 'MTCH', 'TWTR', 'BBWI', 'QCOM', 'FCX', 'ETSY', 'LUMN']\n",
      "2018-01-01 ['ANET', 'PENN', 'MTCH', 'TWTR', 'QCOM', 'FCX', 'LUMN', 'NFLX', 'STX', 'AMD']\n",
      "2018-02-01 ['ANET', 'MTCH', 'TWTR', 'FCX', 'LUMN', 'NFLX', 'STX', 'ENPH', 'ETSY', 'TWTR']\n",
      "2018-03-01 ['ANET', 'MTCH', 'FCX', 'NFLX', 'STX', 'ENPH', 'ETSY', 'ENPH', 'DXCM', 'NRG']\n",
      "2018-04-01 ['ANET', 'MTCH', 'NFLX', 'STX', 'ETSY', 'DXCM', 'NRG', 'CMG', 'BKR', 'SIVB']\n",
      "2018-05-01 ['NFLX', 'STX', 'ETSY', 'DXCM', 'NRG', 'CMG', 'SIVB', 'ENPH', 'ALGN', 'ABMD']\n",
      "2018-06-01 ['NFLX', 'ETSY', 'DXCM', 'CMG', 'ENPH', 'ALGN', 'ABMD', 'ETSY', 'DISCA', 'DISCK']\n",
      "2018-07-01 ['ETSY', 'DXCM', 'CMG', 'ALGN', 'ETSY', 'DISCA', 'DISCK', 'HWM', 'AMD', 'IQV']\n",
      "2018-08-01 ['ETSY', 'DXCM', 'CMG', 'ALGN', 'ETSY', 'DISCA', 'AMD', 'DXCM', 'PAYC', 'MTCH']\n",
      "2018-09-01 ['ETSY', 'ALGN', 'ETSY', 'DISCA', 'AMD', 'PAYC', 'MTCH', 'AMD', 'EW', 'BBWI']\n",
      "2018-10-01 ['ETSY', 'ETSY', 'DISCA', 'PAYC', 'MTCH', 'EW', 'BBWI', 'TSLA', 'TWTR', 'CBOE']\n",
      "2018-11-01 ['ETSY', 'ETSY', 'PAYC', 'EW', 'BBWI', 'TSLA', 'CBOE', 'NWL', 'ETSY', 'ABBV']\n",
      "2018-12-01 ['PAYC', 'EW', 'TSLA', 'CBOE', 'ABBV', 'NEM', 'AVGO', 'MTCH', 'DLTR', 'CF']\n",
      "2019-01-01 ['PAYC', 'EW', 'NEM', 'AVGO', 'MTCH', 'DLTR', 'CF', 'ENPH', 'GE', 'HES']\n",
      "2019-02-01 ['PAYC', 'NEM', 'AVGO', 'MTCH', 'ENPH', 'GE', 'HES', 'MRNA', 'ANET', 'ETSY']\n",
      "2019-03-01 ['PAYC', 'NEM', 'AVGO', 'MTCH', 'ENPH', 'HES', 'ANET', 'XRAY', 'CAG', 'CMG']\n",
      "2019-04-01 ['PAYC', 'AVGO', 'MTCH', 'ENPH', 'HES', 'XRAY', 'CAG', 'QCOM', 'MRNA', 'DIS']\n",
      "2019-05-01 ['PAYC', 'MTCH', 'ENPH', 'HES', 'XRAY', 'CAG', 'DIS', 'ENPH', 'MTCH', 'CNC']\n",
      "2019-06-01 ['PAYC', 'ENPH', 'HES', 'XRAY', 'CAG', 'DIS', 'ENPH', 'DVA', 'WDC', 'APTV']\n",
      "2019-07-01 ['PAYC', 'ENPH', 'CAG', 'ENPH', 'DVA', 'WDC', 'APTV', 'ENPH', 'TWTR', 'MU']\n",
      "2019-08-01 ['PAYC', 'ENPH', 'ENPH', 'WDC', 'ENPH', 'TWTR', 'MU', 'TGT', 'MRNA', 'MKTX']\n",
      "2019-09-01 ['PAYC', 'WDC', 'TWTR', 'MU', 'TGT', 'MRNA', 'MKTX', 'TPR', 'MPC', 'BBWI']\n",
      "2019-10-01 ['PAYC', 'MU', 'TGT', 'MRNA', 'MKTX', 'TPR', 'MPC', 'ALGN', 'TSLA', 'BIIB']\n",
      "2019-11-01 ['PAYC', 'TGT', 'MRNA', 'MKTX', 'TPR', 'ALGN', 'TSLA', 'DXCM', 'DXC', 'PAYC']\n",
      "2019-12-01 ['TGT', 'MRNA', 'TPR', 'ALGN', 'TSLA', 'DXCM', 'DXC', 'TSLA', 'WDC', 'SWKS']\n",
      "2020-01-01 ['MRNA', 'TPR', 'TSLA', 'DXCM', 'TSLA', 'WDC', 'SWKS', 'TSLA', 'BBWI', 'TDG']\n",
      "2020-02-01 ['MRNA', 'TPR', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'BBWI', 'ENPH', 'REGN', 'MRNA']\n",
      "2020-03-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'REGN', 'MRNA', 'NLOK', 'CTXS', 'CTRA']\n",
      "2020-04-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'CTRA', 'APA', 'MRO', 'DVN']\n",
      "2020-05-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'CTRA', 'PENN', 'CZR', 'BBWI']\n",
      "2020-06-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'CZR', 'GPS', 'OXY', 'IVZ']\n",
      "2020-07-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'GPS', 'BBWI', 'AMD', 'TSLA']\n",
      "2020-08-01 ['TSLA', 'TSLA', 'TSLA', 'GPS', 'BBWI', 'AMD', 'TSLA', 'TSLA', 'PENN', 'CZR']\n",
      "2020-09-01 ['GPS', 'BBWI', 'AMD', 'PENN', 'CZR', 'PENN', 'CZR', 'MLM', 'DRI', 'WRK']\n",
      "2020-10-01 ['GPS', 'BBWI', 'AMD', 'MLM', 'DRI', 'WRK', 'TPR', 'ALGN', 'UA', 'UAA']\n",
      "2020-11-01 ['BBWI', 'AMD', 'DRI', 'TPR', 'ALGN', 'UA', 'UAA', 'MRNA', 'OXY', 'DVN']\n",
      "2020-12-01 ['DRI', 'TPR', 'ALGN', 'UA', 'UAA', 'OXY', 'DVN', 'NLSN', 'ENPH', 'TSLA']\n",
      "2021-01-01 ['TPR', 'UAA', 'OXY', 'DVN', 'NLSN', 'ENPH', 'TSLA', 'MRNA', 'DISCA', 'DISCK']\n",
      "2021-02-01 ['TPR', 'UAA', 'OXY', 'DVN', 'NLSN', 'DISCA', 'DISCK', 'MRO', 'TWTR', 'RCL']\n",
      "2021-03-01 ['TPR', 'UAA', 'OXY', 'DVN', 'NLSN', 'MRO', 'RCL', 'NUE', 'HIG', 'KSU']\n",
      "2021-04-01 ['TPR', 'UAA', 'DVN', 'NLSN', 'MRO', 'NUE', 'KSU', 'MRNA', 'EFX', 'DISH']\n",
      "2021-05-01 ['DVN', 'NLSN', 'MRO', 'NUE', 'KSU', 'MRNA', 'EFX', 'NLOK', 'F', 'NUE']\n",
      "2021-06-01 ['DVN', 'MRO', 'KSU', 'MRNA', 'EFX', 'NLOK', 'F', 'BIIB', 'ENPH', 'MRNA']\n",
      "2021-07-01 ['KSU', 'MRNA', 'EFX', 'F', 'BIIB', 'ENPH', 'MRNA', 'MRNA', 'ALB', 'DXCM']\n",
      "2021-08-01 ['KSU', 'MRNA', 'EFX', 'BIIB', 'MRNA', 'MRNA', 'ALB', 'PAYC', 'BLL', 'PENN']\n",
      "2021-09-01 ['KSU', 'MRNA', 'EFX', 'MRNA', 'MRNA', 'PAYC', 'BLL', 'CTRA', 'CF', 'FANG']\n",
      "2021-10-01 ['KSU', 'EFX', 'PAYC', 'BLL', 'CTRA', 'CF', 'FANG', 'ENPH', 'TSLA', 'TER']\n",
      "2021-11-01 ['EFX', 'CTRA', 'CF', 'FANG', 'ENPH', 'TSLA', 'TER', 'ANET', 'QCOM', 'LYV']\n",
      "2021-11-05 ['FANG', 'ENPH', 'TSLA', 'TER', 'ANET', 'QCOM', 'LYV', 'FE', 'PFE', 'CMS']\n",
      "['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'NEE', 'WELL', 'WLTW', 'VTRS', 'MHK']\n",
      "['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'NEE', 'WELL', 'WLTW', 'VTRS', 'MHK']\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 251,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CAGR(pflio(returns_df, 10, 3))\n",
    "sharpe(portfolio_returns(returns_df, 10, 3), 0.02)\n",
    "max_dd(portfolio_returns(returns_df, 10, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  1 of 1 completed\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.20001050382463892"
      ]
     },
     "execution_count": 220,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate KPIs for SPY buy and hold strategy over the same period\n",
    "SPY = yf.download('^GSPC', start, end, interval='1mo')\n",
    "SPY['monthly_ret'] = SPY['Adj Close'].pct_change().fillna(0)\n",
    "CAGR(SPY)\n",
    "sharpe(SPY, 0.02)\n",
    "max_dd(SPY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>monthly_ret</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2021-08-01</th>\n",
       "      <td>4406.859863</td>\n",
       "      <td>4537.359863</td>\n",
       "      <td>4367.729980</td>\n",
       "      <td>4522.680176</td>\n",
       "      <td>4522.680176</td>\n",
       "      <td>63217960000</td>\n",
       "      <td>0.028990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-09-01</th>\n",
       "      <td>4528.799805</td>\n",
       "      <td>4545.850098</td>\n",
       "      <td>4305.910156</td>\n",
       "      <td>4307.540039</td>\n",
       "      <td>4307.540039</td>\n",
       "      <td>66268850000</td>\n",
       "      <td>-0.047569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-10-01</th>\n",
       "      <td>4317.160156</td>\n",
       "      <td>4608.080078</td>\n",
       "      <td>4278.939941</td>\n",
       "      <td>4605.379883</td>\n",
       "      <td>4605.379883</td>\n",
       "      <td>61874700000</td>\n",
       "      <td>0.069144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-11-01</th>\n",
       "      <td>4610.620117</td>\n",
       "      <td>4718.500000</td>\n",
       "      <td>4595.060059</td>\n",
       "      <td>4697.529785</td>\n",
       "      <td>4697.529785</td>\n",
       "      <td>16397220000</td>\n",
       "      <td>0.020009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-11-05</th>\n",
       "      <td>4699.259766</td>\n",
       "      <td>4718.500000</td>\n",
       "      <td>4681.319824</td>\n",
       "      <td>4697.529785</td>\n",
       "      <td>4697.529785</td>\n",
       "      <td>2595129000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   Open         High          Low        Close    Adj Close  \\\n",
       "Date                                                                          \n",
       "2021-08-01  4406.859863  4537.359863  4367.729980  4522.680176  4522.680176   \n",
       "2021-09-01  4528.799805  4545.850098  4305.910156  4307.540039  4307.540039   \n",
       "2021-10-01  4317.160156  4608.080078  4278.939941  4605.379883  4605.379883   \n",
       "2021-11-01  4610.620117  4718.500000  4595.060059  4697.529785  4697.529785   \n",
       "2021-11-05  4699.259766  4718.500000  4681.319824  4697.529785  4697.529785   \n",
       "\n",
       "                 Volume  monthly_ret  \n",
       "Date                                  \n",
       "2021-08-01  63217960000     0.028990  \n",
       "2021-09-01  66268850000    -0.047569  \n",
       "2021-10-01  61874700000     0.069144  \n",
       "2021-11-01  16397220000     0.020009  \n",
       "2021-11-05   2595129000     0.000000  "
      ]
     },
     "execution_count": 221,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SPY.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Monthly Rebalanced Portfolios with Multiple Allocations:\n",
      "2011-12-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'NEE', 'WELL', 'WLTW', 'VTRS', 'MHK']\n",
      "2012-01-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'WELL', 'MHK', 'NFLX', 'ILMN', 'AAL']\n",
      "2012-02-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'MHK', 'ILMN', 'WHR', 'SWKS', 'STX']\n",
      "2012-03-01 ['MPWR', 'COO', 'VRTX', 'WY', 'MHK', 'ILMN', 'STX', 'PNR', 'BAC', 'JPM']\n",
      "2012-04-01 ['MPWR', 'COO', 'VRTX', 'WY', 'MHK', 'STX', 'JPM', 'AAL', 'EXPE', 'INCY']\n",
      "2012-05-01 ['COO', 'VRTX', 'WY', 'MHK', 'AAL', 'EXPE', 'INCY', 'VRTX', 'AAL', 'UAL']\n",
      "2012-06-01 ['WY', 'MHK', 'AAL', 'EXPE', 'INCY', 'AAL', 'UAL', 'STZ', 'MPC', 'CTRA']\n",
      "2012-07-01 ['WY', 'MHK', 'EXPE', 'INCY', 'STZ', 'MPC', 'CTRA', 'TMUS', 'WDC', 'CNC']\n",
      "2012-08-01 ['WY', 'MHK', 'STZ', 'MPC', 'TMUS', 'WDC', 'CNC', 'DXC', 'GNRC', 'GPS']\n",
      "2012-09-01 ['WY', 'MHK', 'MPC', 'TMUS', 'DXC', 'GNRC', 'GPS', 'NOW', 'VMC', 'TMUS']\n",
      "2012-10-01 ['WY', 'MHK', 'MPC', 'DXC', 'GNRC', 'GPS', 'VMC', 'GNRC', 'NFLX', 'URI']\n",
      "2012-11-01 ['WY', 'MHK', 'MPC', 'DXC', 'VMC', 'NFLX', 'URI', 'MDLZ', 'FB', 'PENN']\n",
      "2012-12-01 ['WY', 'MHK', 'MPC', 'DXC', 'VMC', 'NFLX', 'URI', 'ENPH', 'WDC', 'LYB']\n",
      "2013-01-01 ['MHK', 'MPC', 'VMC', 'NFLX', 'URI', 'WDC', 'LYB', 'NFLX', 'BBY', 'HCA']\n",
      "2013-02-01 ['MHK', 'MPC', 'NFLX', 'URI', 'WDC', 'NFLX', 'BBY', 'STZ', 'ENPH', 'ATVI']\n",
      "2013-03-01 ['MHK', 'MPC', 'URI', 'WDC', 'BBY', 'STZ', 'ENPH', 'BBY', 'AAL', 'ENPH']\n",
      "2013-04-01 ['WDC', 'BBY', 'STZ', 'ENPH', 'BBY', 'AAL', 'ENPH', 'TSLA', 'VRTX', 'AKAM']\n",
      "2013-05-01 ['WDC', 'BBY', 'STZ', 'ENPH', 'BBY', 'ENPH', 'TSLA', 'TSLA', 'AMD', 'EA']\n",
      "2013-06-01 ['ENPH', 'ENPH', 'TSLA', 'TSLA', 'AMD', 'EA', 'TMUS', 'MU', 'CBOE', 'LYV']\n",
      "2013-07-01 ['TSLA', 'TSLA', 'AMD', 'EA', 'TMUS', 'CBOE', 'LYV', 'FB', 'GNRC', 'OKE']\n",
      "2013-08-01 ['TSLA', 'TSLA', 'EA', 'TMUS', 'LYV', 'FB', 'OKE', 'INCY', 'TSLA', 'DXCM']\n",
      "2013-09-01 ['TSLA', 'TSLA', 'TMUS', 'LYV', 'FB', 'INCY', 'TSLA', 'REGN', 'ENPH', 'MU']\n",
      "2013-10-01 ['TMUS', 'LYV', 'FB', 'INCY', 'REGN', 'ENPH', 'MU', 'ABMD', 'XYL', 'CMG']\n",
      "2013-11-01 ['INCY', 'REGN', 'ENPH', 'MU', 'ABMD', 'XYL', 'CMG', 'INCY', 'MU', 'BIIB']\n",
      "2013-12-01 ['INCY', 'MU', 'XYL', 'CMG', 'INCY', 'MU', 'BIIB', 'TWTR', 'TMUS', 'MGM']\n",
      "2014-01-01 ['INCY', 'MU', 'CMG', 'INCY', 'MU', 'BIIB', 'MGM', 'ILMN', 'AAL', 'INCY']\n",
      "2014-02-01 ['MU', 'CMG', 'MU', 'BIIB', 'MGM', 'ILMN', 'AAL', 'TSLA', 'AKAM', 'ZBRA']\n",
      "2014-03-01 ['MU', 'CMG', 'MU', 'MGM', 'AAL', 'AKAM', 'ZBRA', 'FE', 'TSN', 'EXC']\n",
      "2014-04-01 ['MU', 'MU', 'MGM', 'AAL', 'ZBRA', 'FE', 'EXC', 'CTRA', 'CHRW', 'RMD']\n",
      "2014-05-01 ['MU', 'MU', 'MGM', 'AAL', 'ZBRA', 'EXC', 'CHRW', 'NFLX', 'EA', 'TMUS']\n",
      "2014-06-01 ['MU', 'MU', 'MGM', 'AAL', 'ZBRA', 'CHRW', 'NFLX', 'VRTX', 'TWTR', 'WMB']\n",
      "2014-07-01 ['MGM', 'ZBRA', 'CHRW', 'NFLX', 'VRTX', 'TWTR', 'WMB', 'ENPH', 'COO', 'DISCK']\n",
      "2014-08-01 ['NFLX', 'VRTX', 'TWTR', 'WMB', 'ENPH', 'COO', 'DISCK', 'PAYC', 'MNST', 'ENPH']\n",
      "2014-09-01 ['NFLX', 'VRTX', 'TWTR', 'ENPH', 'COO', 'MNST', 'ENPH', 'ULTA', 'VRTX', 'CTLT']\n",
      "2014-10-01 ['VRTX', 'COO', 'MNST', 'ULTA', 'VRTX', 'CTLT', 'INCY', 'ABMD', 'TYL', 'ALK']\n",
      "2014-11-01 ['MNST', 'ULTA', 'CTLT', 'INCY', 'ABMD', 'ALK', 'PAYC', 'DISH', 'LUV', 'ZTS']\n",
      "2014-12-01 ['MNST', 'ULTA', 'CTLT', 'INCY', 'ABMD', 'ALK', 'LUV', 'ENPH', 'KLAC', 'KMX']\n",
      "2015-01-01 ['MNST', 'ULTA', 'CTLT', 'INCY', 'ABMD', 'ALK', 'LUV', 'ABMD', 'NEM', 'NFLX']\n",
      "2015-02-01 ['MNST', 'ULTA', 'INCY', 'ABMD', 'ABMD', 'NEM', 'NFLX', 'MLM', 'FCX', 'IPGP']\n",
      "2015-03-01 ['MNST', 'ULTA', 'INCY', 'ABMD', 'ABMD', 'MLM', 'IPGP', 'NXPI', 'ABMD', 'CNC']\n",
      "2015-04-01 ['MNST', 'ULTA', 'INCY', 'MLM', 'IPGP', 'NXPI', 'CZR', 'NFLX', 'FCX', 'NEM']\n",
      "2015-05-01 ['INCY', 'MLM', 'IPGP', 'NXPI', 'CZR', 'NFLX', 'NEM', 'HUM', 'AVGO', 'QRVO']\n",
      "2015-06-01 ['INCY', 'MLM', 'IPGP', 'CZR', 'NFLX', 'AVGO', 'QRVO', 'ANET', 'ROL', 'CI']\n",
      "2015-07-01 ['INCY', 'MLM', 'IPGP', 'CZR', 'NFLX', 'ANET', 'ROL', 'ETSY', 'AMZN', 'CMG']\n",
      "2015-08-01 ['INCY', 'MLM', 'CZR', 'NFLX', 'ROL', 'AMZN', 'CMG', 'ABMD', 'PAYC', 'BBY']\n",
      "2015-09-01 ['INCY', 'CZR', 'ROL', 'AMZN', 'CMG', 'ABMD', 'BBY', 'TAP', 'NI', 'NVDA']\n",
      "2015-10-01 ['INCY', 'CZR', 'ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'TRMB', 'KLAC', 'LVS']\n",
      "2015-11-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'TRMB', 'KLAC', 'QRVO', 'ILMN', 'NXPI']\n",
      "2015-12-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'KLAC', 'ILMN', 'ENPH', 'DXC', 'AMD']\n",
      "2016-01-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'KLAC', 'DXC', 'CTRA', 'TPR', 'FANG']\n",
      "2016-02-01 ['ROL', 'NI', 'NVDA', 'KLAC', 'CTRA', 'TPR', 'FANG', 'FCX', 'NEM', 'HWM']\n",
      "2016-03-01 ['NI', 'NVDA', 'KLAC', 'CTRA', 'FANG', 'FCX', 'HWM', 'DVN', 'MRO', 'FCX']\n",
      "2016-04-01 ['CTRA', 'FANG', 'FCX', 'HWM', 'DVN', 'MRO', 'FCX', 'FCX', 'NEM', 'DVN']\n",
      "2016-05-01 ['CTRA', 'FANG', 'HWM', 'DVN', 'MRO', 'NEM', 'DVN', 'DXC', 'NVDA', 'AMD']\n",
      "2016-06-01 ['CTRA', 'MRO', 'NEM', 'DXC', 'NVDA', 'AMD', 'HSY', 'DXCM', 'NEM', 'SJM']\n",
      "2016-07-01 ['NEM', 'NVDA', 'AMD', 'HSY', 'DXCM', 'NEM', 'SJM', 'AMD', 'EBAY', 'STX']\n",
      "2016-08-01 ['NVDA', 'AMD', 'DXCM', 'SJM', 'AMD', 'EBAY', 'STX', 'ETSY', 'NTAP', 'ZBRA']\n",
      "2016-09-01 ['NVDA', 'DXCM', 'EBAY', 'STX', 'ETSY', 'NTAP', 'ZBRA', 'LDOS', 'APA', 'WDC']\n",
      "2016-10-01 ['NVDA', 'ETSY', 'NTAP', 'ZBRA', 'LDOS', 'APA', 'WDC', 'AKAM', 'NFLX', 'GPS']\n",
      "2016-11-01 ['NVDA', 'NTAP', 'ZBRA', 'LDOS', 'APA', 'WDC', 'AKAM', 'FCX', 'MRO', 'URI']\n",
      "2016-12-01 ['NVDA', 'NTAP', 'ZBRA', 'LDOS', 'WDC', 'AKAM', 'URI', 'AMD', 'CZR', 'NVDA']\n",
      "2017-01-01 ['NVDA', 'NTAP', 'ZBRA', 'WDC', 'AKAM', 'URI', 'NVDA', 'ENPH', 'NRG', 'DXCM']\n",
      "2017-02-01 ['NTAP', 'ZBRA', 'WDC', 'URI', 'ENPH', 'NRG', 'DXCM', 'AMD', 'ANET', 'HWM']\n",
      "2017-03-01 ['NTAP', 'ZBRA', 'WDC', 'NRG', 'DXCM', 'AMD', 'ANET', 'PENN', 'MU', 'FMC']\n",
      "2017-04-01 ['NTAP', 'ZBRA', 'WDC', 'ANET', 'PENN', 'MU', 'FMC', 'ALGN', 'EW', 'MTCH']\n",
      "2017-05-01 ['ZBRA', 'ANET', 'PENN', 'MU', 'ALGN', 'EW', 'MTCH', 'NVDA', 'ETSY', 'ADSK']\n",
      "2017-06-01 ['ANET', 'PENN', 'MU', 'ALGN', 'EW', 'NVDA', 'ETSY', 'ENPH', 'UAA', 'CTRA']\n",
      "2017-07-01 ['ANET', 'PENN', 'ALGN', 'EW', 'NVDA', 'ENPH', 'CTRA', 'NRG', 'BA', 'FCX']\n",
      "2017-08-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'NRG', 'FCX', 'BKR', 'TTWO', 'MTCH']\n",
      "2017-09-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'BKR', 'MTCH', 'ENPH', 'GPS', 'MU']\n",
      "2017-10-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'MTCH', 'MU', 'ALGN', 'TWTR', 'INTC']\n",
      "2017-11-01 ['ANET', 'PENN', 'ALGN', 'CTRA', 'MTCH', 'ALGN', 'TWTR', 'ENPH', 'BBWI', 'QCOM']\n",
      "2017-12-01 ['ANET', 'PENN', 'CTRA', 'MTCH', 'TWTR', 'BBWI', 'QCOM', 'FCX', 'ETSY', 'LUMN']\n",
      "2018-01-01 ['ANET', 'PENN', 'MTCH', 'TWTR', 'QCOM', 'FCX', 'LUMN', 'NFLX', 'STX', 'AMD']\n",
      "2018-02-01 ['ANET', 'MTCH', 'TWTR', 'FCX', 'LUMN', 'NFLX', 'STX', 'ENPH', 'ETSY', 'TWTR']\n",
      "2018-03-01 ['ANET', 'MTCH', 'FCX', 'NFLX', 'STX', 'ENPH', 'ETSY', 'ENPH', 'DXCM', 'NRG']\n",
      "2018-04-01 ['ANET', 'MTCH', 'NFLX', 'STX', 'ETSY', 'DXCM', 'NRG', 'CMG', 'BKR', 'SIVB']\n",
      "2018-05-01 ['NFLX', 'STX', 'ETSY', 'DXCM', 'NRG', 'CMG', 'SIVB', 'ENPH', 'ALGN', 'ABMD']\n",
      "2018-06-01 ['NFLX', 'ETSY', 'DXCM', 'CMG', 'ENPH', 'ALGN', 'ABMD', 'ETSY', 'DISCA', 'DISCK']\n",
      "2018-07-01 ['ETSY', 'DXCM', 'CMG', 'ALGN', 'ETSY', 'DISCA', 'DISCK', 'HWM', 'AMD', 'IQV']\n",
      "2018-08-01 ['ETSY', 'DXCM', 'CMG', 'ALGN', 'ETSY', 'DISCA', 'AMD', 'DXCM', 'PAYC', 'MTCH']\n",
      "2018-09-01 ['ETSY', 'ALGN', 'ETSY', 'DISCA', 'AMD', 'PAYC', 'MTCH', 'AMD', 'EW', 'BBWI']\n",
      "2018-10-01 ['ETSY', 'ETSY', 'DISCA', 'PAYC', 'MTCH', 'EW', 'BBWI', 'TSLA', 'TWTR', 'CBOE']\n",
      "2018-11-01 ['ETSY', 'ETSY', 'PAYC', 'EW', 'BBWI', 'TSLA', 'CBOE', 'NWL', 'ETSY', 'ABBV']\n",
      "2018-12-01 ['PAYC', 'EW', 'TSLA', 'CBOE', 'ABBV', 'NEM', 'AVGO', 'MTCH', 'DLTR', 'CF']\n",
      "2019-01-01 ['PAYC', 'EW', 'NEM', 'AVGO', 'MTCH', 'DLTR', 'CF', 'ENPH', 'GE', 'HES']\n",
      "2019-02-01 ['PAYC', 'NEM', 'AVGO', 'MTCH', 'ENPH', 'GE', 'HES', 'MRNA', 'ANET', 'ETSY']\n",
      "2019-03-01 ['PAYC', 'NEM', 'AVGO', 'MTCH', 'ENPH', 'HES', 'ANET', 'XRAY', 'CAG', 'CMG']\n",
      "2019-04-01 ['PAYC', 'AVGO', 'MTCH', 'ENPH', 'HES', 'XRAY', 'CAG', 'QCOM', 'MRNA', 'DIS']\n",
      "2019-05-01 ['PAYC', 'MTCH', 'ENPH', 'HES', 'XRAY', 'CAG', 'DIS', 'ENPH', 'MTCH', 'CNC']\n",
      "2019-06-01 ['PAYC', 'ENPH', 'HES', 'XRAY', 'CAG', 'DIS', 'ENPH', 'DVA', 'WDC', 'APTV']\n",
      "2019-07-01 ['PAYC', 'ENPH', 'CAG', 'ENPH', 'DVA', 'WDC', 'APTV', 'ENPH', 'TWTR', 'MU']\n",
      "2019-08-01 ['PAYC', 'ENPH', 'ENPH', 'WDC', 'ENPH', 'TWTR', 'MU', 'TGT', 'MRNA', 'MKTX']\n",
      "2019-09-01 ['PAYC', 'WDC', 'TWTR', 'MU', 'TGT', 'MRNA', 'MKTX', 'TPR', 'MPC', 'BBWI']\n",
      "2019-10-01 ['PAYC', 'MU', 'TGT', 'MRNA', 'MKTX', 'TPR', 'MPC', 'ALGN', 'TSLA', 'BIIB']\n",
      "2019-11-01 ['PAYC', 'TGT', 'MRNA', 'MKTX', 'TPR', 'ALGN', 'TSLA', 'DXCM', 'DXC', 'PAYC']\n",
      "2019-12-01 ['TGT', 'MRNA', 'TPR', 'ALGN', 'TSLA', 'DXCM', 'DXC', 'TSLA', 'WDC', 'SWKS']\n",
      "2020-01-01 ['MRNA', 'TPR', 'TSLA', 'DXCM', 'TSLA', 'WDC', 'SWKS', 'TSLA', 'BBWI', 'TDG']\n",
      "2020-02-01 ['MRNA', 'TPR', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'BBWI', 'ENPH', 'REGN', 'MRNA']\n",
      "2020-03-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'REGN', 'MRNA', 'NLOK', 'CTXS', 'CTRA']\n",
      "2020-04-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'CTRA', 'APA', 'MRO', 'DVN']\n",
      "2020-05-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'CTRA', 'PENN', 'CZR', 'BBWI']\n",
      "2020-06-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'CZR', 'GPS', 'OXY', 'IVZ']\n",
      "2020-07-01 ['MRNA', 'TSLA', 'DXCM', 'TSLA', 'TSLA', 'MRNA', 'GPS', 'BBWI', 'AMD', 'TSLA']\n",
      "2020-08-01 ['TSLA', 'TSLA', 'TSLA', 'GPS', 'BBWI', 'AMD', 'TSLA', 'TSLA', 'PENN', 'CZR']\n",
      "2020-09-01 ['GPS', 'BBWI', 'AMD', 'PENN', 'CZR', 'PENN', 'CZR', 'MLM', 'DRI', 'WRK']\n",
      "2020-10-01 ['GPS', 'BBWI', 'AMD', 'MLM', 'DRI', 'WRK', 'TPR', 'ALGN', 'UA', 'UAA']\n",
      "2020-11-01 ['BBWI', 'AMD', 'DRI', 'TPR', 'ALGN', 'UA', 'UAA', 'MRNA', 'OXY', 'DVN']\n",
      "2020-12-01 ['DRI', 'TPR', 'ALGN', 'UA', 'UAA', 'OXY', 'DVN', 'NLSN', 'ENPH', 'TSLA']\n",
      "2021-01-01 ['TPR', 'UAA', 'OXY', 'DVN', 'NLSN', 'ENPH', 'TSLA', 'MRNA', 'DISCA', 'DISCK']\n",
      "2021-02-01 ['TPR', 'UAA', 'OXY', 'DVN', 'NLSN', 'DISCA', 'DISCK', 'MRO', 'TWTR', 'RCL']\n",
      "2021-03-01 ['TPR', 'UAA', 'OXY', 'DVN', 'NLSN', 'MRO', 'RCL', 'NUE', 'HIG', 'KSU']\n",
      "2021-04-01 ['TPR', 'UAA', 'DVN', 'NLSN', 'MRO', 'NUE', 'KSU', 'MRNA', 'EFX', 'DISH']\n",
      "2021-05-01 ['DVN', 'NLSN', 'MRO', 'NUE', 'KSU', 'MRNA', 'EFX', 'NLOK', 'F', 'NUE']\n",
      "2021-06-01 ['DVN', 'MRO', 'KSU', 'MRNA', 'EFX', 'NLOK', 'F', 'BIIB', 'ENPH', 'MRNA']\n",
      "2021-07-01 ['KSU', 'MRNA', 'EFX', 'F', 'BIIB', 'ENPH', 'MRNA', 'MRNA', 'ALB', 'DXCM']\n",
      "2021-08-01 ['KSU', 'MRNA', 'EFX', 'BIIB', 'MRNA', 'MRNA', 'ALB', 'PAYC', 'BLL', 'PENN']\n",
      "2021-09-01 ['KSU', 'MRNA', 'EFX', 'MRNA', 'MRNA', 'PAYC', 'BLL', 'CTRA', 'CF', 'FANG']\n",
      "2021-10-01 ['KSU', 'EFX', 'PAYC', 'BLL', 'CTRA', 'CF', 'FANG', 'ENPH', 'TSLA', 'TER']\n",
      "2021-11-01 ['EFX', 'CTRA', 'CF', 'FANG', 'ENPH', 'TSLA', 'TER', 'ANET', 'QCOM', 'LYV']\n",
      "2021-11-05 ['FANG', 'ENPH', 'TSLA', 'TER', 'ANET', 'QCOM', 'LYV', 'FE', 'PFE', 'CMS']\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fcad9d52a30>"
      ]
     },
     "execution_count": 252,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Monthly Rebalanced Portfolios with Multiple Allocations:')\n",
    "plt.figure(figsize=(12,8))\n",
    "plt.plot((1 + pflio(returns_df, 10, 3, mult_alloc=True, print_pflio=True)).cumprod())\n",
    "plt.plot((1 + SPY['monthly_ret'].reset_index(drop=True)).cumprod())\n",
    "plt.title('SPY Return vs Strategy Return (with multiple allocations)')\n",
    "plt.ylabel('Cumulative Return')\n",
    "plt.xlabel('Months')\n",
    "ax.legend(['Strategy Return', 'SPY Return'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 253,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Monthly Rebalanced Portfolios with Unique Allocations:\n",
      "2011-12-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'NEE', 'WELL', 'WLTW', 'VTRS', 'MHK']\n",
      "2012-01-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'WELL', 'MHK', 'NFLX', 'ILMN', 'AAL']\n",
      "2012-02-01 ['MPWR', 'VMC', 'COO', 'VRTX', 'WY', 'MHK', 'ILMN', 'WHR', 'SWKS', 'STX']\n",
      "2012-03-01 ['MPWR', 'COO', 'VRTX', 'WY', 'MHK', 'ILMN', 'STX', 'PNR', 'BAC', 'JPM']\n",
      "2012-04-01 ['MPWR', 'COO', 'VRTX', 'WY', 'MHK', 'STX', 'JPM', 'AAL', 'EXPE', 'INCY']\n",
      "2012-05-01 ['COO', 'VRTX', 'WY', 'MHK', 'AAL', 'EXPE', 'INCY', 'UAL', 'WMT', 'MNST']\n",
      "2012-06-01 ['WY', 'MHK', 'AAL', 'EXPE', 'INCY', 'WMT', 'MNST', 'STZ', 'MPC', 'CTRA']\n",
      "2012-07-01 ['WY', 'EXPE', 'INCY', 'WMT', 'STZ', 'MPC', 'CTRA', 'TMUS', 'WDC', 'CNC']\n",
      "2012-08-01 ['WY', 'STZ', 'MPC', 'CTRA', 'TMUS', 'WDC', 'CNC', 'DXC', 'GNRC', 'GPS']\n",
      "2012-09-01 ['WY', 'MPC', 'CTRA', 'TMUS', 'DXC', 'GNRC', 'GPS', 'NOW', 'VMC', 'FB']\n",
      "2012-10-01 ['WY', 'MPC', 'CTRA', 'GNRC', 'GPS', 'VMC', 'FB', 'NFLX', 'URI', 'KMX']\n",
      "2012-11-01 ['MPC', 'CTRA', 'VMC', 'FB', 'NFLX', 'URI', 'KMX', 'MDLZ', 'PENN', 'DXC']\n",
      "2012-12-01 ['MPC', 'CTRA', 'VMC', 'NFLX', 'URI', 'KMX', 'DXC', 'ENPH', 'WDC', 'LYB']\n",
      "2013-01-01 ['MPC', 'CTRA', 'VMC', 'NFLX', 'URI', 'WDC', 'LYB', 'BBY', 'HCA', 'BSX']\n",
      "2013-02-01 ['MPC', 'CTRA', 'NFLX', 'URI', 'WDC', 'BBY', 'BSX', 'STZ', 'ENPH', 'ATVI']\n",
      "2013-03-01 ['MPC', 'CTRA', 'WDC', 'BBY', 'BSX', 'STZ', 'ENPH', 'AAL', 'ALK', 'CHTR']\n",
      "2013-04-01 ['CTRA', 'WDC', 'BBY', 'STZ', 'ENPH', 'AAL', 'CHTR', 'TSLA', 'VRTX', 'AKAM']\n",
      "2013-05-01 ['WDC', 'BBY', 'STZ', 'ENPH', 'CHTR', 'TSLA', 'AKAM', 'AMD', 'EA', 'FANG']\n",
      "2013-06-01 ['BBY', 'ENPH', 'CHTR', 'TSLA', 'AMD', 'EA', 'FANG', 'TMUS', 'MU', 'CBOE']\n",
      "2013-07-01 ['BBY', 'CHTR', 'TSLA', 'EA', 'FANG', 'TMUS', 'CBOE', 'FB', 'GNRC', 'OKE']\n",
      "2013-08-01 ['BBY', 'TSLA', 'EA', 'FANG', 'TMUS', 'FB', 'OKE', 'INCY', 'DXCM', 'MPWR']\n",
      "2013-09-01 ['TSLA', 'FANG', 'TMUS', 'FB', 'OKE', 'INCY', 'DXCM', 'REGN', 'ENPH', 'MU']\n",
      "2013-10-01 ['FANG', 'TMUS', 'FB', 'OKE', 'INCY', 'DXCM', 'MU', 'ABMD', 'XYL', 'CMG']\n",
      "2013-11-01 ['OKE', 'INCY', 'DXCM', 'MU', 'ABMD', 'XYL', 'CMG', 'BIIB', 'PTC', 'VTRS']\n",
      "2013-12-01 ['OKE', 'INCY', 'DXCM', 'MU', 'XYL', 'CMG', 'PTC', 'TWTR', 'TMUS', 'MGM']\n",
      "2014-01-01 ['OKE', 'INCY', 'DXCM', 'MU', 'CMG', 'TWTR', 'MGM', 'ILMN', 'AAL', 'UAA']\n",
      "2014-02-01 ['DXCM', 'MU', 'CMG', 'MGM', 'ILMN', 'AAL', 'UAA', 'TSLA', 'AKAM', 'ZBRA']\n",
      "2014-03-01 ['MU', 'CMG', 'MGM', 'AAL', 'UAA', 'AKAM', 'ZBRA', 'FE', 'TSN', 'EXC']\n",
      "2014-04-01 ['MU', 'MGM', 'AAL', 'ZBRA', 'FE', 'TSN', 'EXC', 'CTRA', 'CHRW', 'RMD']\n",
      "2014-05-01 ['MU', 'MGM', 'AAL', 'ZBRA', 'TSN', 'EXC', 'CHRW', 'NFLX', 'EA', 'TMUS']\n",
      "2014-06-01 ['MU', 'MGM', 'AAL', 'ZBRA', 'CHRW', 'NFLX', 'EA', 'VRTX', 'TWTR', 'WMB']\n",
      "2014-07-01 ['MGM', 'ZBRA', 'CHRW', 'NFLX', 'VRTX', 'TWTR', 'WMB', 'ENPH', 'COO', 'DISCK']\n",
      "2014-08-01 ['NFLX', 'VRTX', 'TWTR', 'WMB', 'ENPH', 'COO', 'DISCK', 'PAYC', 'MNST', 'ANET']\n",
      "2014-09-01 ['NFLX', 'VRTX', 'TWTR', 'ENPH', 'COO', 'MNST', 'ANET', 'ULTA', 'CTLT', 'NKE']\n",
      "2014-10-01 ['VRTX', 'ENPH', 'COO', 'MNST', 'ULTA', 'CTLT', 'NKE', 'INCY', 'ABMD', 'TYL']\n",
      "2014-11-01 ['VRTX', 'MNST', 'ULTA', 'CTLT', 'NKE', 'INCY', 'ABMD', 'PAYC', 'DISH', 'LUV']\n",
      "2014-12-01 ['VRTX', 'ULTA', 'CTLT', 'NKE', 'INCY', 'ABMD', 'LUV', 'ENPH', 'KLAC', 'KMX']\n",
      "2015-01-01 ['ULTA', 'CTLT', 'NKE', 'INCY', 'ABMD', 'LUV', 'KMX', 'NEM', 'NFLX', 'EA']\n",
      "2015-02-01 ['ULTA', 'NKE', 'INCY', 'ABMD', 'KMX', 'NEM', 'NFLX', 'MLM', 'FCX', 'IPGP']\n",
      "2015-03-01 ['ULTA', 'NKE', 'INCY', 'ABMD', 'KMX', 'MLM', 'IPGP', 'NXPI', 'CNC', 'QRVO']\n",
      "2015-04-01 ['ULTA', 'NKE', 'INCY', 'KMX', 'MLM', 'IPGP', 'NXPI', 'CZR', 'NFLX', 'FCX']\n",
      "2015-05-01 ['INCY', 'KMX', 'MLM', 'IPGP', 'NXPI', 'CZR', 'NFLX', 'HUM', 'AVGO', 'QRVO']\n",
      "2015-06-01 ['INCY', 'KMX', 'MLM', 'IPGP', 'CZR', 'NFLX', 'QRVO', 'ANET', 'ROL', 'CI']\n",
      "2015-07-01 ['INCY', 'MLM', 'IPGP', 'CZR', 'NFLX', 'ANET', 'ROL', 'ETSY', 'AMZN', 'CMG']\n",
      "2015-08-01 ['INCY', 'MLM', 'CZR', 'NFLX', 'ROL', 'AMZN', 'CMG', 'ABMD', 'PAYC', 'BBY']\n",
      "2015-09-01 ['INCY', 'CZR', 'ROL', 'AMZN', 'CMG', 'ABMD', 'BBY', 'TAP', 'NI', 'NVDA']\n",
      "2015-10-01 ['INCY', 'CZR', 'ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'TRMB', 'KLAC', 'LVS']\n",
      "2015-11-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'TRMB', 'KLAC', 'QRVO', 'ILMN', 'NXPI']\n",
      "2015-12-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'KLAC', 'ILMN', 'ENPH', 'DXC', 'AMD']\n",
      "2016-01-01 ['ROL', 'AMZN', 'TAP', 'NI', 'NVDA', 'KLAC', 'DXC', 'CTRA', 'TPR', 'FANG']\n",
      "2016-02-01 ['ROL', 'NI', 'NVDA', 'KLAC', 'CTRA', 'TPR', 'FANG', 'FCX', 'NEM', 'HWM']\n",
      "2016-03-01 ['NI', 'NVDA', 'KLAC', 'CTRA', 'FANG', 'FCX', 'HWM', 'DVN', 'MRO', 'HPE']\n",
      "2016-04-01 ['NVDA', 'CTRA', 'FANG', 'FCX', 'HWM', 'DVN', 'MRO', 'NEM', 'WMB', 'AMD']\n",
      "2016-05-01 ['NVDA', 'CTRA', 'FANG', 'DVN', 'MRO', 'WMB', 'AMD', 'DXC', 'EA', 'MTCH']\n",
      "2016-06-01 ['NVDA', 'CTRA', 'DVN', 'MRO', 'AMD', 'DXC', 'MTCH', 'HSY', 'DXCM', 'NEM']\n",
      "2016-07-01 ['NVDA', 'DVN', 'AMD', 'MTCH', 'HSY', 'DXCM', 'NEM', 'EBAY', 'STX', 'GRMN']\n",
      "2016-08-01 ['NVDA', 'DVN', 'AMD', 'MTCH', 'DXCM', 'EBAY', 'STX', 'ETSY', 'NTAP', 'ZBRA']\n",
      "2016-09-01 ['NVDA', 'DVN', 'MTCH', 'EBAY', 'STX', 'ETSY', 'NTAP', 'LDOS', 'APA', 'WDC']\n",
      "2016-10-01 ['NVDA', 'MTCH', 'ETSY', 'NTAP', 'LDOS', 'APA', 'WDC', 'AKAM', 'NFLX', 'GPS']\n",
      "2016-11-01 ['NVDA', 'MTCH', 'NTAP', 'LDOS', 'APA', 'WDC', 'AKAM', 'FCX', 'MRO', 'URI']\n",
      "2016-12-01 ['NVDA', 'NTAP', 'LDOS', 'APA', 'WDC', 'AKAM', 'URI', 'AMD', 'CZR', 'EW']\n",
      "2017-01-01 ['NVDA', 'NTAP', 'LDOS', 'WDC', 'AKAM', 'URI', 'EW', 'ENPH', 'NRG', 'DXCM']\n",
      "2017-02-01 ['NTAP', 'LDOS', 'URI', 'EW', 'ENPH', 'NRG', 'DXCM', 'AMD', 'ANET', 'HWM']\n",
      "2017-03-01 ['NTAP', 'URI', 'EW', 'NRG', 'DXCM', 'AMD', 'ANET', 'PENN', 'MU', 'FMC']\n",
      "2017-04-01 ['NTAP', 'EW', 'DXCM', 'ANET', 'PENN', 'MU', 'FMC', 'ALGN', 'MTCH', 'TER']\n",
      "2017-05-01 ['EW', 'ANET', 'PENN', 'MU', 'FMC', 'ALGN', 'MTCH', 'NVDA', 'ETSY', 'ADSK']\n",
      "2017-06-01 ['EW', 'ANET', 'PENN', 'MU', 'ALGN', 'NVDA', 'ETSY', 'ENPH', 'UAA', 'CTRA']\n",
      "2017-07-01 ['EW', 'ANET', 'PENN', 'ALGN', 'NVDA', 'ENPH', 'CTRA', 'NRG', 'BA', 'FCX']\n",
      "2017-08-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'NRG', 'FCX', 'BKR', 'TTWO', 'MTCH']\n",
      "2017-09-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'BKR', 'MTCH', 'ENPH', 'GPS', 'MU']\n",
      "2017-10-01 ['ANET', 'PENN', 'ALGN', 'NVDA', 'CTRA', 'MTCH', 'MU', 'TWTR', 'INTC', 'PTC']\n",
      "2017-11-01 ['ANET', 'PENN', 'ALGN', 'CTRA', 'MTCH', 'TWTR', 'INTC', 'ENPH', 'BBWI', 'QCOM']\n",
      "2017-12-01 ['ANET', 'PENN', 'CTRA', 'MTCH', 'TWTR', 'INTC', 'BBWI', 'FCX', 'ETSY', 'LUMN']\n",
      "2018-01-01 ['ANET', 'PENN', 'MTCH', 'TWTR', 'INTC', 'FCX', 'LUMN', 'NFLX', 'STX', 'AMD']\n",
      "2018-02-01 ['ANET', 'MTCH', 'TWTR', 'INTC', 'LUMN', 'NFLX', 'STX', 'ENPH', 'ETSY', 'UAA']\n",
      "2018-03-01 ['MTCH', 'INTC', 'NFLX', 'STX', 'ENPH', 'ETSY', 'UAA', 'DXCM', 'NRG', 'MPC']\n",
      "2018-04-01 ['MTCH', 'NFLX', 'STX', 'ETSY', 'UAA', 'NRG', 'MPC', 'CMG', 'BKR', 'SIVB']\n",
      "2018-05-01 ['NFLX', 'ETSY', 'UAA', 'NRG', 'MPC', 'CMG', 'SIVB', 'ENPH', 'ALGN', 'ABMD']\n",
      "2018-06-01 ['NFLX', 'ETSY', 'UAA', 'CMG', 'ENPH', 'ALGN', 'ABMD', 'DISCA', 'DISCK', 'TWTR']\n",
      "2018-07-01 ['ETSY', 'UAA', 'CMG', 'ENPH', 'ALGN', 'DISCA', 'DISCK', 'HWM', 'AMD', 'IQV']\n",
      "2018-08-01 ['ETSY', 'CMG', 'ALGN', 'DISCA', 'DISCK', 'AMD', 'IQV', 'DXCM', 'PAYC', 'MTCH']\n",
      "2018-09-01 ['ETSY', 'ALGN', 'DISCA', 'DISCK', 'AMD', 'IQV', 'MTCH', 'EW', 'BBWI', 'ATVI']\n",
      "2018-10-01 ['DISCA', 'DISCK', 'IQV', 'MTCH', 'EW', 'BBWI', 'ATVI', 'TSLA', 'TWTR', 'CBOE']\n",
      "2018-11-01 ['DISCA', 'DISCK', 'IQV', 'EW', 'BBWI', 'TSLA', 'CBOE', 'NWL', 'ETSY', 'ABBV']\n",
      "2018-12-01 ['DISCK', 'IQV', 'EW', 'TSLA', 'CBOE', 'ETSY', 'ABBV', 'NEM', 'AVGO', 'MTCH']\n",
      "2019-01-01 ['DISCK', 'IQV', 'EW', 'ETSY', 'NEM', 'AVGO', 'MTCH', 'ENPH', 'GE', 'HES']\n",
      "2019-02-01 ['IQV', 'ETSY', 'AVGO', 'MTCH', 'ENPH', 'GE', 'HES', 'MRNA', 'ANET', 'HBI']\n",
      "2019-03-01 ['IQV', 'AVGO', 'MTCH', 'ENPH', 'HES', 'ANET', 'HBI', 'XRAY', 'CAG', 'CMG']\n",
      "2019-04-01 ['AVGO', 'MTCH', 'ENPH', 'HES', 'HBI', 'XRAY', 'CAG', 'QCOM', 'MRNA', 'DIS']\n",
      "2019-05-01 ['MTCH', 'ENPH', 'HES', 'HBI', 'XRAY', 'CAG', 'DIS', 'CNC', 'TTWO', 'LHX']\n",
      "2019-06-01 ['ENPH', 'HES', 'HBI', 'XRAY', 'DIS', 'TTWO', 'LHX', 'DVA', 'WDC', 'APTV']\n",
      "2019-07-01 ['ENPH', 'HES', 'TTWO', 'LHX', 'DVA', 'WDC', 'APTV', 'TWTR', 'MU', 'TER']\n",
      "2019-08-01 ['ENPH', 'HES', 'TTWO', 'LHX', 'WDC', 'TWTR', 'MU', 'TGT', 'MRNA', 'MKTX']\n",
      "2019-09-01 ['HES', 'TTWO', 'LHX', 'WDC', 'TWTR', 'TGT', 'MRNA', 'TPR', 'MPC', 'BBWI']\n",
      "2019-10-01 ['HES', 'TTWO', 'LHX', 'TGT', 'MRNA', 'TPR', 'MPC', 'ALGN', 'TSLA', 'BIIB']\n",
      "2019-11-01 ['TTWO', 'TGT', 'MRNA', 'TPR', 'ALGN', 'TSLA', 'BIIB', 'DXCM', 'DXC', 'PAYC']\n",
      "2019-12-01 ['TTWO', 'TGT', 'TPR', 'ALGN', 'TSLA', 'BIIB', 'DXC', 'WDC', 'SWKS', 'FANG']\n",
      "2020-01-01 ['TTWO', 'TPR', 'ALGN', 'TSLA', 'BIIB', 'WDC', 'SWKS', 'BBWI', 'TDG', 'ENPH']\n",
      "2020-02-01 ['TPR', 'TSLA', 'BIIB', 'SWKS', 'BBWI', 'TDG', 'ENPH', 'REGN', 'MRNA', 'DPZ']\n",
      "2020-03-01 ['TSLA', 'BIIB', 'SWKS', 'ENPH', 'REGN', 'MRNA', 'DPZ', 'NLOK', 'CTXS', 'CTRA']\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2020-04-01 ['TSLA', 'SWKS', 'ENPH', 'MRNA', 'DPZ', 'NLOK', 'CTRA', 'APA', 'MRO', 'DVN']\n",
      "2020-05-01 ['TSLA', 'SWKS', 'ENPH', 'MRNA', 'DPZ', 'NLOK', 'CTRA', 'PENN', 'CZR', 'BBWI']\n",
      "2020-06-01 ['TSLA', 'SWKS', 'MRNA', 'DPZ', 'PENN', 'CZR', 'BBWI', 'GPS', 'OXY', 'IVZ']\n",
      "2020-07-01 ['TSLA', 'SWKS', 'MRNA', 'DPZ', 'PENN', 'BBWI', 'GPS', 'AMD', 'HCA', 'GNRC']\n",
      "2020-08-01 ['TSLA', 'PENN', 'BBWI', 'GPS', 'AMD', 'HCA', 'GNRC', 'CZR', 'RCL', 'CRM']\n",
      "2020-09-01 ['PENN', 'BBWI', 'GPS', 'GNRC', 'CZR', 'RCL', 'CRM', 'MLM', 'DRI', 'WRK']\n",
      "2020-10-01 ['BBWI', 'GPS', 'GNRC', 'CRM', 'MLM', 'DRI', 'WRK', 'TPR', 'ALGN', 'UA']\n",
      "2020-11-01 ['BBWI', 'GPS', 'DRI', 'WRK', 'TPR', 'ALGN', 'UA', 'MRNA', 'OXY', 'DVN']\n",
      "2020-12-01 ['DRI', 'WRK', 'TPR', 'ALGN', 'UA', 'OXY', 'DVN', 'NLSN', 'ENPH', 'TSLA']\n",
      "2021-01-01 ['TPR', 'UA', 'OXY', 'DVN', 'NLSN', 'ENPH', 'TSLA', 'MRNA', 'DISCA', 'DISCK']\n",
      "2021-02-01 ['TPR', 'UA', 'OXY', 'DVN', 'NLSN', 'DISCA', 'DISCK', 'MRO', 'TWTR', 'RCL']\n",
      "2021-03-01 ['TPR', 'UA', 'OXY', 'DVN', 'NLSN', 'MRO', 'RCL', 'NUE', 'HIG', 'KSU']\n",
      "2021-04-01 ['TPR', 'UA', 'DVN', 'NLSN', 'MRO', 'NUE', 'KSU', 'MRNA', 'EFX', 'DISH']\n",
      "2021-05-01 ['DVN', 'NLSN', 'MRO', 'NUE', 'KSU', 'MRNA', 'EFX', 'NLOK', 'F', 'BKR']\n",
      "2021-06-01 ['DVN', 'MRO', 'KSU', 'MRNA', 'EFX', 'NLOK', 'F', 'BIIB', 'ENPH', 'GNRC']\n",
      "2021-07-01 ['KSU', 'MRNA', 'EFX', 'F', 'BIIB', 'ENPH', 'GNRC', 'ALB', 'DXCM', 'MPWR']\n",
      "2021-08-01 ['KSU', 'MRNA', 'EFX', 'BIIB', 'GNRC', 'ALB', 'MPWR', 'PAYC', 'BLL', 'PENN']\n",
      "2021-09-01 ['KSU', 'MRNA', 'EFX', 'GNRC', 'MPWR', 'PAYC', 'BLL', 'CTRA', 'CF', 'FANG']\n",
      "2021-10-01 ['KSU', 'EFX', 'GNRC', 'MPWR', 'PAYC', 'CF', 'FANG', 'ENPH', 'TSLA', 'TER']\n",
      "2021-11-01 ['EFX', 'MPWR', 'CF', 'FANG', 'ENPH', 'TSLA', 'TER', 'ANET', 'QCOM', 'LYV']\n",
      "2021-11-05 ['FANG', 'ENPH', 'TSLA', 'TER', 'ANET', 'QCOM', 'LYV', 'FE', 'PFE', 'CMS']\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fcad9c3e910>"
      ]
     },
     "execution_count": 253,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Monthly Rebalanced Portfolios with Unique Allocations:')\n",
    "plt.figure(figsize=(12,8))\n",
    "plt.plot((1 + pflio(returns_df, 10, 3, mult_alloc=False, print_pflio=True)).cumprod())\n",
    "plt.plot((1 + SPY['monthly_ret'].reset_index(drop=True)).cumprod())\n",
    "plt.title('SPY Return vs Strategy Return (unique allocations only)')\n",
    "plt.ylabel('Cumulative Return')\n",
    "plt.xlabel('Months')\n",
    "ax.legend(['Strategy Return', 'SPY Return'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KPIs For S&P500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.13961906138320934"
      ]
     },
     "execution_count": 224,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CAGR(SPY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9218616106731564"
      ]
     },
     "execution_count": 225,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sharpe(SPY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.20001050382463892"
      ]
     },
     "execution_count": 226,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_dd(SPY)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KPIs For Portfolio with Multiple Allocations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3532655594398211"
      ]
     },
     "execution_count": 227,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CAGR(pflio(returns_df, 10, 3, mult_alloc=True, print_pflio=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 228,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.3426688108580132"
      ]
     },
     "execution_count": 228,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sharpe(pflio(returns_df, 10, 3, mult_alloc=True, print_pflio=False), 0.02)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.25727906528653627"
      ]
     },
     "execution_count": 229,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_dd(pflio(returns_df, 10, 3, mult_alloc=True, print_pflio=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KPIs for Portfolio with Unique Stocks Only"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2829760535817245"
      ]
     },
     "execution_count": 230,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CAGR(pflio(returns_df, 10, 3, mult_alloc=False, print_pflio=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.3032408091784238"
      ]
     },
     "execution_count": 231,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sharpe(pflio(returns_df, 10, 3, mult_alloc=False, print_pflio=False), 0.02)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2864249475942709"
      ]
     },
     "execution_count": 232,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_dd(pflio(returns_df, 10, 3, mult_alloc=False, print_pflio=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Important Caveat: This long only stragegy will only perform well in a bull market. In a downtrending market, an analogous short only strategy should be implemented.**"
   ]
  }
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