import pandas as pd import numpy as np from datetime import datetime as dt from pypfopt.efficient_frontier import EfficientFrontier import streamlit as st import plotly.graph_objects as go import plotly.express as px from PIL import Image ### START AND RUN STREAMLIT #https://docs.streamlit.io/library/get-started/installation def ef_viz(stock_df,choices): #st.write("EF Visualization KOI EDITS") # st.header('CAPM Model and the Efficient Frontier') symbols, weights, investment, rf, A_coef = choices.values() tickers = symbols #tickers.append('sp500') #st.write(tickers) #st.write(stock_df) # Yearly returns for individual companies #https://stackoverflow.com/questions/69284773/unable-to-resample-the-pandas-with-date-column-typeerror-only-valid-with-dateti stock_dff = stock_df.copy() stock_dff['Date'] = pd.to_datetime(stock_dff['Date']) # ind_er_df = stock_dff.set_index('Date') #st.write(stock_dff.columns) ind_er_df = stock_dff.resample('Y', on = 'Date').last().pct_change().mean() ind_er = ind_er_df[tickers] #st.write(ind_er) ann_sd = stock_df[tickers].pct_change().apply(lambda x: np.log(1+x)).std().apply(lambda x: x*np.sqrt(250)) assets = pd.concat([ind_er, ann_sd], axis=1) # Creating a table for visualising returns and volatility of assets assets.columns = ['Returns', 'Volatility'] assets #st.write(assets) ln_pct_change = stock_df[tickers].pct_change().apply(lambda x: np.log(1+x))[1:] #Cov Matrix cov_matrix =ln_pct_change.cov() ## CREATE PORFOLIOS WEIGHTS p_ret = [] # Define an empty array for portfolio returns p_vol = [] # Define an empty array for portfolio volatility p_weights = [] # Define an empty array for asset weights num_assets = len(tickers) num_portfolios = 1000 for portfolio in range(num_portfolios): weights = np.random.random(num_assets) weights = weights/np.sum(weights) p_weights.append(weights) returns = np.dot(weights, ind_er) # Returns are the product of individual expected returns of asset and its # weights p_ret.append(returns) var = cov_matrix.mul(weights, axis=0).mul(weights, axis=1).sum().sum()# Portfolio Variance sd = np.sqrt(var) # Daily standard deviation ann_sd = sd*np.sqrt(250) # Annual standard deviation = volatility p_vol.append(ann_sd) data = {'Returns':p_ret, 'Volatility':p_vol} for counter, symbol in enumerate(stock_df[tickers].columns.tolist()): #print(counter, symbol) data[symbol] = [w[counter] for w in p_weights] port_ef_df = pd.DataFrame(data) port_ef_df['Vol'] = port_ef_df['Volatility'] ## NEEDS INPUT INSTEAD OF HARD CODE #a = 5 #the coefficient of risk aversion is A. If an invest is less risk averse A is small. We assume 25 < A < 35. #rf = 0.041 min_vol_port = port_ef_df.iloc[port_ef_df['Volatility'].idxmin()] optimal_risky_port = port_ef_df.iloc[((port_ef_df['Returns']-rf)/port_ef_df['Volatility']).idxmax()] ### Make DF and data string for when hover over data points def make_op_df(df, tickers): new = {} op_str = str() new['Returns'] = df[0] new['Volatility'] = df[1] for i in range(0,len(tickers)): new[tickers[i]]= df[i+2] op_str += str(tickers[i]) + ': ' + str(round(df[i+2],4)) + '
' return pd.DataFrame(new, index=[0]), op_str op_df, op_str = make_op_df(optimal_risky_port, tickers) def make_port_str(df, tickers): port_str_lst = [] for i in range(0,len(df)): temp = str() for u in range(0,len(tickers)): temp += str(tickers[u])+ ': ' + str(round(df[tickers[u]][i],4)) + '
' port_str_lst.append(temp) return port_str_lst port_str_lst = make_port_str(port_ef_df, tickers) ## CREATE CAPM LINE #https://www.youtube.com/watch?v=JWx2wcrSGkk cal_x = [] cal_y = [] utl = [] for er in np.linspace(rf, max(data['Returns'])+rf,20): sd = (er - rf)/ ((optimal_risky_port[0] - rf)/ optimal_risky_port[1]) u = er - 0.5*A_coef*(sd**2) cal_x.append(sd) cal_y.append(er) utl.append(u) data2 = {'Utility':utl, 'cal_x':cal_x, 'cal_y':cal_y} utl_df = pd.DataFrame(data2) ## Create Figure fig3 = go.Figure() #https://plotly.com/python/colorscales/ fig3.add_trace(go.Scatter(x=port_ef_df['Volatility'], y=port_ef_df['Returns'], hovertemplate='Volatility: %{x}
Returns: %{y}
%{text}',\ text= port_str_lst, mode='markers', \ marker=dict(color=port_ef_df['Volatility'], colorbar=dict(title="Volatility"), \ size=port_ef_df['Returns']*50, cmax=max(port_ef_df['Volatility']),\ cmin=min(port_ef_df['Volatility'])),name='Portfolio')) #, mode='markers', size=port_ef_df['Returns'], \ #size_max=30, color=port_ef_df['Vol'])) fig3.add_trace(go.Scatter(x=utl_df['cal_x'], y=utl_df['cal_y'], mode='lines', line = dict(color='rgba(11,156,49,1)'),name='Ultility Function',\ hovertemplate='Volatility: %{x}
Returns: %{y}')) #)) fig3.add_trace(go.Scatter(x=op_df['Volatility'], y=op_df['Returns'], mode='markers', \ marker=dict(color= 'rgba(11,156,49,1)', size=30),\ hovertemplate='Volatility: %{x}
Returns: %{y}
%{text}',\ text=[op_str])) ### HOVER TEMPLATE # https://plotly.com/python/hover-text-and-formatting/ # ### SAVE IN CASE CANNOT FIGURE OUT THE HOVER TEMPLATE # fig2 = px.scatter(op_df, 'Volatility', 'Returns') # fig2.update_traces(marker=dict(color= 'rgba(11,156,49,1)', size=35)) # fig1 = px.line(utl_df, x="cal_x", y="cal_y") # #fig1.update_traces(line=dict(color = 'rgba(11,156,49,1)')) # fig = px.scatter(port_ef_df, 'Volatility', 'Returns', size='Returns', size_max=30, color='Vol') # #https://stackoverflow.com/questions/59057881/python-plotly-how-to-customize-hover-template-on-with-what-information-to-show # #https://stackoverflow.com/questions/65124833/plotly-how-to-combine-scatter-and-line-plots-using-plotly-express # #data3 = # fig3.data = [fig2.data,fig1.data,fig.data] # #fig3.update_traces(line=dict(color = 'rgba(11,156,49,1)')) # #### fig3.update_layout(showlegend=False)#, legend_title_text = "Contestant") fig3.update_xaxes(title_text="Volatility") fig3.update_yaxes(title_text="Portfolio Return Rates") st.plotly_chart(fig3, use_container_width=True) #st.write(op_str) op_df = op_df.style.set_properties(**{'color':'green'}) st.subheader('Optimal Returns vs Volatility and Portfolio weights') col1, col2, col3 = st.columns([1,6,1]) with col1: st.write("") with col2: st.write(op_df) with col3: st.write("") im = Image.open('EFvsMinvar.png') st.subheader('Understand the Efficient Frontier') col1, col2, col3 = st.columns([1,6,1]) with col1: st.write("") with col2: st.image(im, caption='Elements of the Efficient Frontier',use_column_width='auto') with col3: st.write("")