
What Does a Bond Fund's Duration Actually Measure?
A fund's duration number looks abstract until rates move. What it measures, Macaulay versus modified, and where the number stops working.

A fund's duration number looks abstract until rates move. What it measures, Macaulay versus modified, and where the number stops working.

Compound interest pays you on your past gains. See a simple example, the Rule of 72, and why time matters more than clever picks.
The headline number is a household survey statistic with a narrow definition of unemployment. Knowing what sits inside it — and what sits outside — changes how…

Every stock exchange sets its own hours on its local clock. Here is what a trading day is, why sessions differ by city, and how holidays change the schedule.

The numbers in the Pepeto announcement are real claims from a real source. That is not the same as verified evidence.
The wire copy sells timing and a 1,500% ROI. The arithmetic inside it tells a more cautious story.

Reported Sharpe ratios inflate with every unreported trial, and the corrections that account for this are arithmetic, not opinion.

Multiple testing turns luck into apparent skill. What the correction procedures control, the hurdles the replication literature settled on, and what a corrected…

A plain-language look at how rising prices are measured, what pushed them up after 2021, and why a little inflation is considered healthy.

AI-driven trading and forecasting tools are often sold on the strength of impressive backtested results. Here is the mechanism by which those results can be…

Out-of-sample scoring is the only published test that approximates live trading, and most papers still manage to overstate it.

Federal regulators rewrote model risk management guidance in April 2026, keeping the same validation core built around conceptual soundness and outcomes…

Two advisers paid penalties in March 2024 for overstating their use of machine learning, and the orders turn on the gap between claimed and actual model use.

Ten trials are enough to yield an in-sample Sharpe ratio of 1.57 from strategies with zero expected out-of-sample performance. What validation, multiple-testing…

Calibration is the match between stated probabilities and observed frequencies — measurable with Brier scores and reliability diagrams, and distinct from…

The FY2026-2030 plan published June 2, 2026 names digital-asset rulemaking among the agency's top priorities — a planning document, with a planning document's…

A 61-day window, a substantially identical security, and a deferred loss — the mechanics as the IRS writes them.

Every U.S. recession since the 1970s was preceded by an inversion — with lags of months to years and documented false positives elsewhere.