The PORTAX financial engine consists of two parts. The first part is the
after-tax. multi-period optimizer. This creates portfolios with specific
per period asset weights based on the expected returns, standard deviations,
correlations, and other details set in the Input Editors.
The second part is the Cash Projections which forecasts the per period
performance of a specific portfolio based on its per period asset weights.
Due to the complex, non-linear nature of after-tax investing, the exact statistical
distributions of a specific portfolio's performance are unknown.
PORTAX includes a comprehensive Monte Carlo Simulator to create empirical
statistical distributions for a specific portfolio's performance given its per
period asset weights:
• Expected asset returns are replaced with random draws from a user
selected multivariate distribution: Normal, Lognormal,
Multivariate T or Multivariate Power Method Polynomials.
The selected distribution is based on the asset
returns, standard deviations and correlations set in the Input
Editors
• For more detailed modeling,
the Multivariate Power Method
Polynomial Distributions allow individual asset skewness and
kurtosis to be set. This models the asymmetry and fatness of
each asset's left and right tails. In financial modeling, accurate
modeling of asset tails can be important to evaluating portfolio
performance.
• A user selected sample size is set between 500 and 50,000 draws.
One draw is a complete Cash Projection recalculated with per period
randomized asset returns.
• Simulator Diagnostics are available which compare the simulated
parameters of the randomized returns to the expected parameters
of the selected multivariate distribution. This assists in selecting an
appropriate sample size and ensuring the simulator is performing
as expected.
• There are 64 different performance calculations that can be
simulated from both the After-Tax Optimizer and the Cash
Projections analytics.
• The Client Reporting System automatically embeds a number of
Monte Carlo simulations in the client reports.
For technical details on the PORTAX Monte Carlo simulator please refer to the
Help Text.
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Monte Carlo Simulator
Power Method Polynomial Distributions
Simulator Diagnostics
Histogram
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