Estimate Mean and Covariance for Returns

Evaluate mean and covariance for portfolio asset returns, including assets with missing data and financial time series data

Objects

Portfolio Create Portfolio object for mean-variance portfolio optimization and analysis

Functions

`getAssetMoments`	Obtain mean and covariance of asset returns from Portfolio object
`setAssetMoments`	Set moments (mean and covariance) of asset returns for Portfolio object
`estimateAssetMoments`	Estimate mean and covariance of asset returns from data
`setCosts`	Set up proportional transaction costs

Examples and How To

Asset Returns and Moments of Asset Returns Using Portfolio Object

Mean-variance portfolio optimization problems require estimates for the mean and covariance of asset returns.

Working with a Riskless Asset

The Portfolio object uses a separate RiskFreeRate property that stores the rate of return of a riskless asset.

Working with Transaction Costs

The difference between net and gross portfolio returns is transaction costs.

Asset Allocation Case Study

This example shows how to set up a basic asset allocation problem that uses mean-variance portfolio optimization with a Portfolio object to estimate efficient portfolios.

Portfolio Optimization Examples

The following sequence of examples highlights features of the Portfolio object in the Financial Toolbox™.

Leverage in Portfolio Optimization with a Risk-Free Asset

This example shows how to use the setBudget function for the Portfolio class to define the limits on the sum(AssetWeight_i) in risky assets.

Portfolio Optimization with Semicontinuous and Cardinality Constraints

This example shows how to use a Portfolio object to directly handle semicontinuous and cardinality constraints when performing portfolio optimization.

Black-Litterman Portfolio Optimization

This example shows the workflow to implement the Black-Litterman model with the Portfolio class.

Portfolio Optimization Using Factor Models

This example shows two approaches for using a factor model to optimize asset allocation under a mean-variance framework.