Quantitative Trading Lexicon 25 Peer-Reviewed Formulas

Institutional Trading &
Prop Firm Rules Glossary.

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All Quantitative Terms, Formulas & System Solutions

Search across drawdown mechanics, consistency gates, expectancy equations, symbol mapping, and IPC latency benchmarks.

Showing: 25 of 25 terms

Quantitative Glossary Terms

Drawdown & Risk Math + Scenario

Trailing Drawdown

A trailing drawdown is a dynamic risk parameter in prop trading where the maximum loss threshold continuously ratchets upward as an account's equity rises. Unlike a static drawdown, trailing drawdown permanently locks in higher loss floors when open or closed profits increase, narrowing the remaining buffer if profits subsequent to the peak retreat.

Equation Drawdown Floor = Max(Peak Equity - Max Allowed Drawdown, Lock Level)
Automated By LogToLast Automated Post-Trade Buffer Intelligence & Playbook Guard
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End-of-Day (EOD) Drawdown

End-of-Day (EOD) drawdown is a prop firm risk rule where the maximum loss limit is recalculated solely at the official market close (typically 4:45 PM or 5:00 PM EST) based on realized account balance. Intra-session spikes in open, unrealized profit do not move or tighten the drawdown floor during active trading.

Equation Drawdown Floor (Next Day) = Max(Floor (Today), Closed Balance (Today) - Max Drawdown Limit)
Automated By LogToLast Post-Trade EOD Cushion Tracker & Funding Hub Filter
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Drawdown & Risk Math + Scenario

Intraday Trailing Drawdown

Intraday trailing drawdown is a strict prop trading liquidation model where the allowable loss boundary follows the highest open unrealized equity tick-by-tick in real time. If a position's floating profit retraces further than the allowed drawdown distance, the account fails immediately, even if the trade is still in net profit.

Equation Liquidation Floor = Max Open Unrealized Equity Peak - Max Drawdown Limit
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Rules & Payouts Math + Scenario

Consistency Rule

A consistency rule is a prop firm payout stipulation requiring that no single trading day accounts for more than a specific percentage (commonly 30%, 40%, or 50%) of your total accumulated profits. Its purpose is to filter out lucky windfall gambles and confirm sustainable, repeatable risk sizing.

Equation Required Total Profit = Largest Single-Day Profit ÷ Consistency Cap %
Automated By LogToLast Automated Single-Day Profit Consistency Monitor
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Quant Metrics Math + Scenario

Sharpe Ratio

The Sharpe ratio measures the risk-adjusted return of a trading portfolio or strategy by dividing its excess returns above the risk-free rate by the standard deviation of its returns. A Sharpe ratio above 1.5 indicates an institutional-grade strategy capable of consistent alpha without excessive drawdown volatility.

Equation Sharpe Ratio = ( (Expected Strategy Return - Risk-Free Rate) ÷ Return StdDev ) × Sqrt(252)
Automated By LogToLast Leader Profile Sharpe, Sortino & Expectancy Analytics
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Profit Factor

Profit factor is the mathematical ratio of gross trading profits divided by gross trading losses over a given trading sample. A profit factor above 1.0 confirms overall profitability, while institutional prop trading benchmarks require a sustainable profit factor between 1.6 and 2.5.

Equation Profit Factor = Sum of Gross Winning Trades ($) ÷ |Sum of Gross Losing Trades ($)|
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Execution & Latency Math + Scenario

Execution Slippage

Execution slippage is the price differential between an order's requested quotation and the actual fill price confirmed by the exchange or broker matching engine. Slippage intensifies during macroeconomic news releases, thin market liquidity, or when copying orders through lagging desktop middleware.

Equation Slippage (Ticks) = ( (Actual Fill Price - Intended Price) ÷ Tick Size ) × Direction
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Latency Arbitrage

Latency arbitrage is an exploitative trading method that capitalizes on millisecond price feed delays between different broker liquidity pools or pricing feeds. Prop trading firms universally ban latency arbitrage, using automated order auditing to detect sub-second quote picking and immediately disqualifying accounts.

Equation Arbitrage Spread = Price (Fast Exchange Feed at t) - Price (Delayed Broker Feed at t + Δt)
Automated By LogToLast 100% KYC-Compliant Personal Sync & Residential-IP MT5 Bridge
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Execution & Latency Math + Scenario

Multi-Account Trade Copier

A multi-account trade copier is software infrastructure that mirrors trade executions from a Leader (Master) account to multiple Follower accounts simultaneously. Modern cloud and hybrid copiers replicate orders in ~15–35ms across separate broker logins without requiring a Windows VPS.

Equation Follower Order Size = Master Order Size × Account Sizing Method (Proportional / % Risk / Fixed / Multiplier)
Automated By LogToLast Drag-and-Drop Portfolio Groups & ~15–35ms Parallel Copier
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Execution & Latency Math + Scenario

Named Pipe Inter-Process Communication (IPC)

Named Pipe IPC is a high-speed operating system memory pipeline enabling two local applications (such as LogToLast's LogToSync desktop bridge and MetaTrader 5) to exchange binary order packets at sub-millisecond local latency without network protocol overhead or commercial VPS IP flags.

Equation Local IPC Transfer Time = OS Memory Buffer Copy (< 1ms) + Broker Gateway Dispatch (~15–25ms)
Automated By LogToLast LogToSync Desktop Application (MT5 Local Bridge)
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Execution & Latency Math + Scenario

TradingView Webhook Automation

TradingView webhook automation is an event-driven integration where custom Pine Script indicator or strategy alerts trigger an instant HTTP POST request with a structured JSON payload to an execution gateway, which validates risk boundaries and routes orders to connected brokers.

Equation TradingView Pine Alert (JSON POST) → LogToLast Playbook Enforcer (~15–40ms) → Broker OCO Order
Automated By LogToLast 1-Click Webhook Generator & Playbook Active Enforcer
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Drawdown & Risk Math + Scenario

High-Water Mark (HWM)

A high-water mark (HWM) is the highest peak equity value an account has attained. In prop trading, the high-water mark is the critical anchor from which trailing drawdowns are subtracted, meaning every new equity peak permanently raises your liquidation floor until the lock threshold is reached.

Equation High-Water Mark (t) = Max(Prior High-Water Mark, Current Equity Peak)
Automated By LogToLast Interactive Equity Curve With High-Water Mark Dashed Line
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Execution & Latency Math + Scenario

Cross-Market Symbol Mapping

Cross-market symbol mapping is the automated translation of instrument tickers, contract sizes, and execution modes between Forex/CFD brokers (MetaTrader 5) and centralized futures exchanges (Tradovate / NinjaTrader Cloud API), converting CFD lots into equivalent CME E-mini or Micro contracts.

Equation Follower Contracts = Round( Master CFD Lots × (CFD Notional Value ÷ CME Contract Notional) )
Automated By LogToLast Auto Symbol Mapper & Entry/Exit Market Sync Mode
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Rules & Payouts Math + Scenario

CME Futures Trading Hours

CME Globex futures trade nearly 23 hours a day, 5 days a week, opening Sunday at 6:00 PM EST and closing Friday at 5:00 PM EST, with a mandatory 60-minute daily maintenance halt from 5:00 PM to 6:00 PM EST. Most futures prop firms enforce a strict intraday flat deadline between 4:10 PM and 4:59 PM EST.

Equation CME Session = 18:00 EST (Prev Day) to 17:00 EST | Prop Firm Mandatory Flat Deadline ≤ 16:59 EST
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Fair Value Gap (FVG & IFVG)

A Fair Value Gap (FVG) is a three-candle price delivery imbalance where aggressive institutional order flow moves price so rapidly that candle 1's high and candle 3's low (in a bullish move) do not overlap, leaving a single-sided liquidity void that price frequently revisits to rebalance.

Equation Bullish FVG Range = [Candle 1 High, Candle 3 Low] where Candle 3 Low > Candle 1 High
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Drawdown & Risk Math + Scenario

Position Size Formula (Futures & Forex)

Position sizing is the mathematical calculation of the exact number of contracts or lots to trade so that if your stop-loss is hit, your dollar loss equals a predetermined fraction (5%–8%) of your actual prop firm drawdown buffer—never your fake headline account balance.

Equation Contracts = Floor( (Available Drawdown Buffer × Risk % per Trade) ÷ (Stop Distance in Ticks × Tick Value) )
Automated By LogToLast Live Dollar Risk Calculator & 4 Follower Sizing Models
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Risk-to-Reward Ratio (R:R)

The risk-to-reward ratio (R:R) compares the potential dollar loss of a trade (entry to stop-loss) against its targeted dollar gain (entry to take-profit), determining the exact minimum win rate required to achieve positive mathematical expectancy.

Equation Minimum Breakeven Win Rate (%) = ( 1 ÷ (1 + Payoff Ratio R) ) × 100%
Automated By LogToLast Trade Duration Scatter Plot & LogToLab R:R Extractor
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CME Futures Tick Value & Point Value

A futures tick value is the minimum price increment (tick size) a CME futures contract can move multiplied by its contract point value. Micro E-mini contracts (MNQ, MES, MGC, MCL) are sized at exactly 1/10th the tick and point value of standard E-mini contracts.

Equation Tick Value ($) = Minimum Tick Increment (Points) × Contract Point Multiplier ($)
Automated By LogToLast Automatic Mini-to-Micro Scaling & Strategy Fee Simulator
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Trading Expectancy & Expected Value (EV)

Trading expectancy (Expected Value or EV) is the statistical average dollar or R-multiple amount a trader can expect to make or lose per trade over a large sample size, combining win probability, average win size, loss probability, and average loss size into a single edge metric.

Equation Expected Value (EV) = (Win Rate % × Average Win $) - (Loss Rate % × Average Loss $)
Automated By LogToLast Purple Expected Value (EV) Card & Mistake Cost Audit
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Sortino Ratio

The Sortino ratio is a modification of the Sharpe ratio that evaluates risk-adjusted returns by dividing excess portfolio return solely by downside deviation, avoiding any mathematical penalty for positive upside volatility spikes.

Equation Sortino Ratio = (Expected Return - Target Return) ÷ Downside Deviation (Negative Returns Only)
Automated By LogToLast Leader Profile Sortino Ratio & Outcome Distribution Chart
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System Quality Number (SQN)

Developed by Dr. Van Tharp, the System Quality Number (SQN) measures the statistical reliability of a trading strategy by multiplying the ratio of mean R-multiple expectancy to R-multiple standard deviation by the square root of the number of trades (capped at N = 100).

Equation SQN = (Average Expectancy in R ÷ StdDev of R-Multiples) × Sqrt( Min(Trade Count N, 100) )
Automated By LogToLast Backtest Lab 'System Quality' Badge (Up to 'Holy Grail')
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Rules & Payouts Math + Scenario

Prop Firm Buffer Zone (Safety Reserve)

A prop firm buffer zone (or safety threshold reserve) is a mandatory profit cushion—typically equal to the account's initial maximum drawdown plus $100—that a funded trader must accumulate and leave untouched in the account before withdrawing 100% of subsequent profits.

Equation Withdrawable Payout = Max(0, Closed Account Balance - Mandatory Buffer Lock Threshold)
Automated By LogToLast Funding Hub 'Real Total Cost' & Buffer Transparency
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Drawdown & Risk Math + Scenario

Daily Loss Limit (Soft Breach vs Hard Breach)

A Daily Loss Limit (DLL) is the maximum dollar or percentage loss an account may incur within a single trading session (including open floating losses and commissions). Depending on the prop firm, hitting the daily limit triggers either a Soft Breach (session pause) or a Hard Breach (permanent termination).

Equation Daily Equity Floor = Max(Start-of-Day Closed Balance, Start-of-Day Open Equity) - Daily Loss Limit
Automated By LogToLast Playbook Active Enforcer & Per-Account Auto-Pause Caps
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Execution & Latency Math + Scenario

On-Submit vs On-Fill Replication

On-Submit replication mirrors resting limit and stop orders to follower accounts the exact millisecond they are placed on the master account, whereas On-Fill (Entry/Exit Market Sync) waits until the master executes before dispatching instant market orders to follower accounts.

Equation Mode 1: Exact 1:1 Bracket Sync (Resting Orders) vs Mode 2: Entry/Exit Market Sync (Instant Market Fills)
Automated By LogToLast Configurable 1:1 Bracket Sync & Entry/Exit Market Sync
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Pattern Day Trader (PDT) Rule & Futures Exemption

The Pattern Day Trader (PDT) rule is a FINRA regulation requiring US equity and options traders to maintain at least $25,000 in margin equity to execute four or more day trades within five business days. CME futures and prop firm accounts are 100% exempt from FINRA's PDT rule.

Equation FINRA Equities PDT Minimum = $25,000 Equity | CFTC/NFA Futures & Prop Firm PDT Minimum = $0
Automated By LogToLast Funding Hub — True Cost Futures Prop Firm Finder & 50% Pass Perk
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