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@@ -41,38 +41,18 @@ Follow these steps to get started with the project:
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  ## Technique used (Version 2)
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  1) Efficient Frontier
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- - Parameters used:\
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  1.1) Maximum Sharpe Ratio\
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  1.2) Efficient Risk\
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  1.3) Efficient Return\
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- 1.4) Minimum Volatility\
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  2) Hierarchical Risk Parity
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- Overview
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- Mean-Variance Portfolio Optimization is a widely used method in finance for constructing an investment portfolio that maximizes expected return for a given level of risk, or equivalently minimizes risk for a given level of expected return. This approach was pioneered by Harry Markowitz and forms the foundation of Modern Portfolio Theory (MPT).
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- Methodology
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- 1. Basic Concepts
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- Expected Return: The anticipated gain or loss from an investment, based on historical data or other factors.
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- Risk (Variance): A measure of the dispersion of returns. In portfolio optimization, we seek to minimize the variance of the portfolio returns.
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- 3. Optimization Algorithm
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- Our implementation utilizes the following steps:
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- Input Data: Historical returns for each asset in the portfolio.
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- Objective Function: Construct an objective function that combines the expected return and variance.
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- Optimization Algorithm: We employ a mean-variance optimization algorithm that iteratively adjusts the weights to find the optimal combination.
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- Convergence Criteria: The algorithm iterates over a specified number of iterations (e.g., 5000) or until convergence is achieved.
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- 4. Implementation
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  In our project, we have implemented the Mean-Variance Portfolio Optimization method with 5000 iterations. The process involves:
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  ## Technique used (Version 2)
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  1) Efficient Frontier
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+ - Parameters used:
 
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  1.1) Maximum Sharpe Ratio\
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  1.2) Efficient Risk\
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  1.3) Efficient Return\
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+ 1.4) Minimum Volatility
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  2) Hierarchical Risk Parity
 
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+ # Overview
 
 
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+ 1. Implementation
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  In our project, we have implemented the Mean-Variance Portfolio Optimization method with 5000 iterations. The process involves:
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