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Advanced Portfolio Optimization with Black–Litterman & HRP

This project implements an advanced portfolio optimization framework that integrates the Black–Litterman model with Hierarchical Risk Parity (HRP) to construct a risk-balanced portfolio.

Overview

The goal of this project is to:

  • Fetch historical market data for a basket of stocks using yfinance.
  • Compute equilibrium returns and incorporate user-defined views using the Black–Litterman model.
  • Apply Hierarchical Risk Parity (HRP) to derive asset weights that balance risk across the portfolio.
  • Visualize the resulting portfolio weights, expected returns, and portfolio volatility.

This framework is designed to be executed in a Google Colab environment, making it easy to experiment and iterate on quantitative finance strategies.

Features

  • Data Acquisition: Downloads adjusted close prices with auto-adjustment using yfinance.
  • Return & Covariance Estimation: Computes daily returns, annualized returns, and robust covariance matrices (using the Ledoit-Wolf estimator).
  • Black–Litterman Integration: Adjusts market equilibrium returns with custom views (e.g., AAPL outperforming MSFT).
  • Hierarchical Risk Parity (HRP): Uses hierarchical clustering to allocate portfolio weights.
  • Visualization: Plots HRP portfolio weights and calculates portfolio performance metrics.

Installation

To run this project, you need Python 3 and the following libraries:

  • yfinance
  • pandas
  • numpy
  • matplotlib
  • scipy
  • scikit-learn

You can install the required libraries using:

pip install yfinance pandas numpy matplotlib scipy scikit-learn

About

This project demonstrates an advanced portfolio optimization framework that combines the Black–Litterman model with Hierarchical Risk Parity (HRP) for constructing risk-balanced portfolios.

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