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src/cryptocurrency_portfolio__assets_selection.py
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188
src/cryptocurrency_portfolio__assets_selection.py
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#!/usr/bin/python3
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"""Crypto Currency Portfolio: Assets Selection.
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Description:
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Crypto Currency Selection using monte Carlo simulation.
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"""
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# %% Import dependencies ----
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# core
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import os
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import gc
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# data science
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import pandas as pd
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import numpy as np
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from scipy.stats import norm
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# Cloud integration
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from azureml.core import Workspace, Dataset, VERSION as aml_version
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print(f'Azure ML SDK v{aml_version}')
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# network
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import ssl
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ssl._create_default_https_context = ssl._create_unverified_context
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# plots
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import matplotlib.pyplot as plt
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import seaborn as sns
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# show info about python env
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from IPython import sys_info
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print(sys_info())
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import warnings
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warnings.filterwarnings("ignore")
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# %% Set params ----
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symbols = ['BTCUSDT', 'ETHUSDT', 'BNBUSDT', 'SOLUSDT', 'MATICUSDT', 'UNIUSDT']
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n_days = int(252) # US market has 252 trading days in a year
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n_iterations = int(1e4)
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# %% Load quotes ----
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def get_quotes(symbol: str) -> pd.DataFrame:
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df = pd.read_csv(f'https://www.cryptodatadownload.com/cdd/Binance_{symbol}_d.csv', skiprows=[0])
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df = df.set_index('date')
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df = df.sort_values(by = 'date')
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return df[['symbol', 'open', 'high', 'low', 'close']]
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quotes_data = [get_quotes(s) for s in symbols]
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# row-wise union:
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# pd.concat([get_quotes(s) for s in symbols])
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# column-wise:
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# pd.concat(list1, axis=1, ignore_index=False)
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btcusdt_df = quotes_data[0]
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pd.concat([
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btcusdt_df['close'].head(5),
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btcusdt_df['close'].tail(5)
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])
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# %% Calculate Return
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def get_returns(close_prices) -> pd.Series:
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return (close_prices/close_prices.shift()) - 1
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btcusdt_df['diff'] = btcusdt_df['close'].diff()
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btcusdt_df['return'] = get_returns(btcusdt_df['close'])
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btcusdt_df[['close', 'diff', 'return']].tail(10)
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# %% Calculate LogReturn
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def get_log_returns(return_prices) -> pd.Series:
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return np.log(1 + return_prices)
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btcusdt_df['log_return'] = btcusdt_df['return'].apply(lambda x: get_log_returns(x))
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btcusdt_df[['close', 'diff', 'return', 'log_return']].tail(10)
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# %% Simulate possible LogReturns
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def get_simulated_returns(log_returns: pd.Series, n_days: int, n_iterations: int) -> pd.Series:
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u = log_returns.mean()
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var = log_returns.var()
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stdev = log_returns.std()
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drift = u - (0.5*var)
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Z = norm.ppf(np.random.rand(n_days, n_iterations))
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return np.exp(drift + stdev*Z)
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btcusd_logreturns = btcusdt_df['log_return'].dropna()
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btcusd_simulated_returns = get_simulated_returns(btcusd_logreturns, n_days, n_iterations)
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assert(
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btcusd_simulated_returns.shape == (n_days, n_iterations)
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)
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# %% Monte carlo simulation functions ----
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def get_breakeven_prob(predicted, threshold = 0):
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"""
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This function calculated the probability of a stock being above a certain threshhold, which can be defined as a value (final stock price) or return rate (percentage change)
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"""
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predicted0 = predicted.iloc[0,0]
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predicted = predicted.iloc[-1]
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predList = list(predicted)
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over = [(i*100)/predicted0 for i in predList if ((i-predicted0)*100)/predicted0 >= threshold]
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less = [(i*100)/predicted0 for i in predList if ((i-predicted0)*100)/predicted0 < threshold]
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return (len(over)/(len(over) + len(less)))
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def monte_carlo_simulation(simulated_returns: pd.Series, last_actual_price: float, n_days: int, plot=True):
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# Create empty matrix
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price_list = np.zeros_like(simulated_returns)
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# Put the last actual price in the first row of matrix
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price_list[0] = last_actual_price
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# Calculate the price of each day
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for t in range(1, n_days):
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price_list[t] = price_list[t-1]*simulated_returns[t]
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# Plot
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if plot == True:
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x = pd.DataFrame(price_list).iloc[-1]
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fig, ax = plt.subplots(1, 2, figsize=(14,4))
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sns.distplot(x, ax=ax[0])
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sns.distplot(x, hist_kws={'cumulative': True}, kde_kws={'cumulative': True}, ax=ax[1])
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plt.xlabel('Stock Price')
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plt.show()
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print(f"Investment period: {n_days-1}")
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print(f"Expected Value: ${round(pd.DataFrame(price_list).iloc[-1].mean(),2)}")
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print(f"Return: {round(100*(pd.DataFrame(price_list).iloc[-1].mean()-price_list[0,1])/pd.DataFrame(price_list).iloc[-1].mean(),2)}%")
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print(f"Probability of Breakeven: {get_breakeven_prob(pd.DataFrame(price_list))}")
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return pd.DataFrame(price_list)
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# %% Run Monte carlo simulation and estimate result
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simulated_prices_df = monte_carlo_simulation(
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btcusd_simulated_returns,
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quotes_data[0]['close'].tail(1),
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n_days)
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plt.figure(figsize=(10,6))
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plt.plot(simulated_prices_df.iloc[:, 1:10])
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plt.show()
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# %% Monte Carlo simulation pipeline for multiple tokens ----
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n_iterations = int(1e4) #! WARN: set simulations number
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returns_data = [get_returns(df['close']) for df in quotes_data]
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log_returns_data = [get_log_returns(r) for r in returns_data]
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simulated_returns_data = [get_simulated_returns(lr, n_days, n_iterations) for lr in log_returns_data]
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for i in range(len(simulated_returns_data)):
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print(f'Starting Monte-Carlo simulation for {symbols[i]} symbol...')
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prices_ms = monte_carlo_simulation(simulated_returns_data[i], quotes_data[i]['close'].tail(1), n_days, plot=True)
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plt.figure(figsize=(10,6))
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plt.plot(prices_ms.iloc[:, 1:50])
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plt.show()
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