ConvexPi

Glossary

Key terms in quantitative finance, factor investing, and market microstructure.

A

Alpha
Return that cannot be explained by exposure to systematic risk factors. True alpha is persistent out-of-sample; in-sample alpha is easy to manufacture by overfitting.
Adverse selection
The risk a market maker faces when trading against a counterparty who has better information. A market maker who is adversely selected loses money to informed traders.
Annualised return
The compound annual growth rate implied by a sequence of daily returns. Computed as (∏(1+rₜ))^(252/T) − 1 for T trading days.

B

Bid-ask spread
The difference between the lowest price a seller will accept (ask) and the highest price a buyer will pay (bid). Wider spreads indicate lower liquidity or higher adverse-selection risk.

C

Capacity
The maximum amount of capital a strategy can deploy before its own trading moves prices enough to erode returns. Small-cap strategies typically have lower capacity than large-cap ones.
Cross-sectional ranking
Ranking securities against each other at a single point in time, rather than comparing a security's current value to its own history. Most factor signals are cross-sectional.

F

Factor exposure
The sensitivity of a portfolio's returns to a systematic risk factor (e.g. market, size, value). A factor-neutral portfolio has zero net exposure to known factors.
Factor zoo
The large and growing collection of published equity factors, many of which fail to replicate out-of-sample. Named after Harvey, Liu, and Zhu (2016).

I

IC (Information coefficient)
The Spearman rank correlation between a signal's predicted cross-sectional returns and actual realised returns. A mean IC near zero means the signal has no predictive value.
In-sample (IS)
The historical period used to develop or fit a strategy. IS performance is always optimistic because the strategy was designed using the same data on which it is evaluated.
Inventory risk
The risk a market maker accumulates by holding a one-sided position while waiting for offsetting flow. Large inventory positions create mark-to-market risk.

L

Limit-order book
A record of outstanding buy and sell orders at specific prices. Orders in the book are passive (they provide liquidity); market orders are aggressive (they take liquidity).
Liquidity
The ease with which an asset can be bought or sold without moving its price. Illiquid securities have wider spreads and greater market impact.
Look-ahead bias
Using information in a backtest that would not have been available at the time of trading. A common source is using financial data before its actual publication date.

M

Market impact
The price movement caused by a trade. Large orders move prices against the trader, raising costs. Market impact grows with order size and falls with liquidity.
Market maker
A trader who simultaneously quotes buy and sell prices, profiting from the bid-ask spread in exchange for providing liquidity. Market makers bear adverse selection and inventory risk.
Maximum drawdown
The largest peak-to-trough decline in cumulative returns. A measure of tail risk; strategies with high Sharpe but very large drawdowns can be difficult to hold in practice.
Multiple testing
The increase in false discovery rate when testing many hypotheses on the same dataset. A strategy that was selected from 1000 tested strategies needs a much higher t-statistic than one tested once.

O

OOS (out-of-sample)
Data or periods not used in strategy development. OOS performance is the only honest estimate of future performance; IS performance is always optimistic.
OOS Sharpe
The Sharpe ratio measured on data the strategy was not designed on. The primary metric on ConvexPi; a positive OOS Sharpe is evidence (not proof) that a signal generalises.
Overfitting
Constructing a model that captures noise rather than signal in the training data. An overfit strategy has high IS performance and near-zero or negative OOS performance.
Overfitting ratio
OOS Sharpe ÷ IS Sharpe. A ratio near 1.0 means the strategy generalised well; a ratio near 0 means it overfit. Target ≥ 0.7 as a rough guide.

P

p-value
The probability of observing a test statistic at least as extreme as the one observed, under the null hypothesis of no effect. A low p-value is necessary but not sufficient evidence — especially after multiple tests.

R

Rolling IC
The information coefficient computed over a rolling window of time, showing how predictive power evolves. Decaying rolling IC suggests the signal is weakening.

S

Sharpe ratio
Annualised mean return divided by annualised return volatility. A dimensionless measure of risk-adjusted performance. A Sharpe of 1.0 is considered good; above 2.0 in live trading is exceptional.
Signal decay
The reduction in predictive power as the holding period lengthens. A signal that is strong at 1-day horizons may be worthless at 20-day horizons.
Slippage
The difference between the expected price of a trade and the price at which it executes. Caused by market impact and latency. Slippage erodes live performance relative to backtests.
Survivorship bias
The error of using only securities that survived to the present day in a historical analysis, excluding those that were delisted, went bankrupt, or were acquired. Leads to overstated backtests.

T

Turnover
The fraction of the portfolio replaced per period, typically annualised. High-turnover strategies trade more and pay more in transaction costs; they require a stronger signal to be profitable.

U

Universe construction
The rules that define which securities are eligible for trading at each point in time. A poorly constructed universe can introduce look-ahead or survivorship bias.

W

Walk-forward validation
A backtesting protocol where the model is trained only on past data and evaluated on the immediately following period, then the window rolls forward. The correct way to avoid look-ahead bias.