Build a VBA program that calculates efficient portfolios based onModern Portfolios Theory (MPT) by Markowitz
Budget: €30 – €250 EUR
Here's a breakdown of programming a Modern Portfolio Theory (MPT) Markowitz setup in Excel using VBA:
Objective: Build a VBA program that calculates efficient portfolios based on user-defined inputs, adhering to MPT principles.
Inputs:
• Import historic prices from Yahoo Finance. I have a functional code that you can uce.
• Expected returns: Leave a field in the main excel sheet that allows for the user to input the expected returns for each asset.
• Risk-free rate: Leave a field for the user to input the risk-free rate of return.
• Log returns: Calculate the log returns on the historical prices, taking into account the dividends.
• covariance matrix: A matrix representing the covariance between each pair of assets.
• Target return or risk level: User-defined target return or desired level of risk (e.g., standard deviation).
Outputs:
• Optimal portfolio weights: An array or range containing the optimal weights for each asset in the
efficient portfolio.
• Additional outputs like expected return, standard deviation, Sharpe ratio, and efficient frontier visualization.
Steps:
1. Data Import:
o Utilize functions like https://query1.finance.yahoo.com/v7/finance/download/ to access historic data for prices and dividends
o Validate and handle potential errors in data format or size.
2. Efficient Frontier Calculation:
o Calculate covariance matrix using input expected returns and risk-free rate.
o Implement the Markowitz optimization algorithm using libraries like Solver or custom optimization functions.
o Solve the optimization problem to find the portfolio weights that minimize risk (standard deviation) for a given target return or maximize return for a given risk level.
o Consider using constraint handling in Solver to enforce bounds on weights (e.g., non-negative, sum to 1).
3. Output & Visualization:
o Display the calculated optimal portfolio weights in a designated range or format.
o Calculate and display additional metrics like expected return, standard deviation, Sharpe ratio, and plot the efficient frontier using charting libraries like ChartObjects.
4. Error Handling:
o Implement robust error handling mechanisms to address potential issues like invalid data, solver failures, or unexpected calculations.
o Provide informative error messages to guide the user.
Additional Considerations:
• User Interface: Consider building a user-friendly interface with input fields, buttons, and clear output displays using VBA forms or custom dialog boxes.
• Flexibility: Allow users to specify different objective functions (e.g., maximize Sharpe ratio) or incorporate transaction costs.
• Data Management: Handle large datasets efficiently and provide options for loading data from external sources like text files or databases.
Remember, this is a high-level overview, and the specific implementation details will depend on your preferences and chosen libraries.
Objective: Build a VBA program that calculates efficient portfolios based on user-defined inputs, adhering to MPT principles.
Inputs:
• Import historic prices from Yahoo Finance. I have a functional code that you can uce.
• Expected returns: Leave a field in the main excel sheet that allows for the user to input the expected returns for each asset.
• Risk-free rate: Leave a field for the user to input the risk-free rate of return.
• Log returns: Calculate the log returns on the historical prices, taking into account the dividends.
• covariance matrix: A matrix representing the covariance between each pair of assets.
• Target return or risk level: User-defined target return or desired level of risk (e.g., standard deviation).
Outputs:
• Optimal portfolio weights: An array or range containing the optimal weights for each asset in the
efficient portfolio.
• Additional outputs like expected return, standard deviation, Sharpe ratio, and efficient frontier visualization.
Steps:
1. Data Import:
o Utilize functions like https://query1.finance.yahoo.com/v7/finance/download/ to access historic data for prices and dividends
o Validate and handle potential errors in data format or size.
2. Efficient Frontier Calculation:
o Calculate covariance matrix using input expected returns and risk-free rate.
o Implement the Markowitz optimization algorithm using libraries like Solver or custom optimization functions.
o Solve the optimization problem to find the portfolio weights that minimize risk (standard deviation) for a given target return or maximize return for a given risk level.
o Consider using constraint handling in Solver to enforce bounds on weights (e.g., non-negative, sum to 1).
3. Output & Visualization:
o Display the calculated optimal portfolio weights in a designated range or format.
o Calculate and display additional metrics like expected return, standard deviation, Sharpe ratio, and plot the efficient frontier using charting libraries like ChartObjects.
4. Error Handling:
o Implement robust error handling mechanisms to address potential issues like invalid data, solver failures, or unexpected calculations.
o Provide informative error messages to guide the user.
Additional Considerations:
• User Interface: Consider building a user-friendly interface with input fields, buttons, and clear output displays using VBA forms or custom dialog boxes.
• Flexibility: Allow users to specify different objective functions (e.g., maximize Sharpe ratio) or incorporate transaction costs.
• Data Management: Handle large datasets efficiently and provide options for loading data from external sources like text files or databases.
Remember, this is a high-level overview, and the specific implementation details will depend on your preferences and chosen libraries.