Worst Realization

Worst realization is the largest single-day loss of the portfolio in the run window. It is reported as a positive number: a value of 0.06 means the worst day lost 6%.

Mathematical Formulation

Definition

A daily figure; it is not annualized.

Reading it

Worst realization is the limit of CVaR as the confidence level approaches 1. CVaR (95%) averages the worst 5% of days; worst realization keeps only the single worst day.

It depends on one observation, so a single crash day in the window decides it. MinWorstRealization minimizes it.

Like every metric on FolioLab, this value describes the run window. It is a measurement of past returns, not a forecast of future ones.

Where FolioLab reports it

  • results.<method>.performance.worst_realization: daily, over the run window.

Each value appears on the result page under Further Risk Measures, in the PDF and Excel reports, in the compare view and through the MCP explain_metric tool. A run stored before this measure existed does not carry it.

skfolio's worst_realization and riskfolio-lib 7.0.1's WR are the same definition.

References

  • Young, M. R. (1998). "A Minimax Portfolio Selection Rule with Linear Programming Solution." Management Science, 44(5), 673-683.

Not investment advice. Past performance is not indicative of future results.