Windham Portfolio Advisor
  • Windham Portfolio Advisor Support
  • Installation
    • Installing the Windham Portfolio Advisor
    • Installation Prerequisites
    • Installation FAQ
      • License Key Management
  • Time Series
  • Managing Custom Time Series
  • Custom Time Series Excel Add-in
  • Custom Time Series Utility
  • Updating the Windham Time Series Database
  • Mixing Data Periodicities within a Case File
  • Hedged and Unhedged Time Series
  • Overlays
  • Expected Risk
    • Annualizing Volatility and Return
    • Correlation
    • Covariance
    • Exponential Risk
    • Quiet and Turbulent Risk
    • Series Filter
    • Views (Risk and Correlation)
  • Expected Returns
    • Historical Returns
    • Equilibrium Returns
    • Implied Returns
    • Black-Litterman
    • Blend
    • Estimating Future Value: Arithmetic or Geometric
  • Optimization
    • Multi-goal Optimization
    • Transaction Costs and Turnover Controls
    • Risk Aversion
    • Full-Scale Optimization
  • Simulation
    • Simulation Methods
  • Exposure to Loss
    • Value at Risk
    • Probability of Loss
  • Risk Budgets
    • Risk Budgets
    • Value at Risk Sensitivities
  • Factor Analysis
    • Windham Factors
    • Factor Analysis
  • Cash Flow Analysis
    • Cash Flow Rules
    • Distribution of Wealth
    • Target Wealth Probability
  • Miscellaneous
    • Effective Tax Rates
    • Shadow Assets, Shadow Liabilities, and Illiquidity
    • Asset-liability Optimization
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  1. Expected Risk

Covariance

The covariance matrix describes the magnitude of the variability in the assets' returns including direction and degree.

The covariance of two assets is the standard deviations of the two assets multiplied by their correlation coefficient.

Combinations of assets with low covariance to other assets will result in portfolios with lower levels of portfolio risk. Combinations of assets with high covariance to other assets will result in portfolios with higher levels of portfolio risk.

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Last updated 4 years ago