Calculators & Risk Models • Simulated Paper Trading

Half Kelly Optimal Growth Calculator for Paper Trading

Quantitative Framework, Technical Execution Rules, and Diagnostic Journaling

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Executive Definition & Core Answer

Half Kelly Optimal Growth Calculator establishes a structured, quantitative record of every simulated order, documenting entry triggers, stop-loss invalidation prices, technical targets, and psychological state. By transforming raw market executions into diagnostic metrics across at least 50 trades, traders eliminate unforced errors, verify true statistical edge, and establish the operational discipline necessary before risking commercial capital.

This analysis is part of the SlateTick paper trading platform and trade execution journal, designed to calibrate execution discipline, risk modeling, and multi-asset simulation across Equities, Forex, and Crypto without risking live capital.
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Structured Trade Logging Protocol for Half-Kelly Optimal Growth Model

Step-by-step institutional rules and quantitative procedure

1 Win Rate Parameter Input

Establish calibrated baseline parameters and execution thesis for Half-Kelly Optimal Growth Model. Input historical win percentage (p) verified over at least 50 simulated trades.

2 Payoff Ratio Parameter Input

Input the ratio of average win to average loss (b = Aw / Al).

3 Kelly Fraction Calculation

Compute Full Kelly K% = (p * b - (1 - p)) / b to determine theoretical optimal growth fraction.

4 Fractional Buffer Safety Scaling

Scale to Half-Kelly (50% of K%) or Quarter-Kelly (25% of K%) to prevent severe equity drawdowns.

5 Risk Constraint Enforcement

Conduct weekly cohort audits and system reviews for Half-Kelly Optimal Growth Model. Cap trade risk at the portfolio maximum (e.g. 2.0% equity) regardless of unconstrained Kelly output.

Trade Journal Cohort Sample: Apple Inc. (AAPL)

Precise formula and quantitative position-sizing model

Formulation & Proof $100k Virtual Capital Sizing
Simulated Account: $100,000 virtual balance. Baseline Risk (1.0R): $1,000. Trade Model: Half-Kelly Optimal Growth Model on Apple Inc. (AAPL). Simulated Account: $100,000 balance. Historical Strategy Metrics (AAPL 60 Trades): - Win Rate (p): 58.0% (0.58) - Loss Rate (q = 1 - p): 42.0% (0.42) - Average Winner (Aw): +$2,100 | Average Loser (Al): -$1,000 - Payoff Ratio (b = Aw / Al): $2,100 / $1,000 = 2.10 Kelly Formulation & Sizing Computation: Full Kelly K% = (p * b - q) / b = (0.58 * 2.10 - 0.42) / 2.10 = (1.218 - 0.42) / 2.10 = 38.0%. Institutional Half-Kelly Scaling: - Half-Kelly Sizing = 38.0% / 2 = 19.0% capital allocation ($19,000 notional margin). - If trading AAPL @ $225.00 with $2.50 stop ($1.11% price risk), 19% capital allocation equals 84 shares. - Maximum Risk at Stop: 84 * $2.50 = $210 (0.21% portfolio risk, safely bounded). Mathematical Takeaway: Half-Kelly captures 75% of peak geometric compounding with a 50% reduction in maximum drawdown.

By calculating position size strictly based on the distance between your entry price and technical invalidation level, your risk remains fixed at 1.0R ($1,000) regardless of the asset's nominal price. To simulate and log your orders under real-world spread and slippage dynamics, explore the core paper trading simulation workspace.

Execution & Journaling Checklist

Mandatory trade management and discipline verifications

✓
Verify all pre-trade parameters for Half-Kelly Optimal Growth Model meet written playbook criteria.
✓
Always apply Half-Kelly or Quarter-Kelly to cushion against estimation error.
✓
Enforce hard portfolio risk ceiling (e.g., maximum 2.0% account risk).
✓
Conduct weekend diagnostic review of all Half-Kelly Optimal Growth Model executions in journal.
Topical Pillar Resource

Connect this specialized calculation back to the master SlateTick paper trading platform and trade journal to aggregate all 400 execution playbooks, journal logs, and multi-asset live simulations in one centralized dashboard.

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Frequently Asked Questions

Essential inquiries on execution, verification, and journal analytics

Q1: Why is Half-Kelly Optimal Growth Model critical for simulated paper trading?

Full Kelly maximizes geometric growth but experiences severe volatility, often exposing traders to drawdowns of 50% to 80% during consecutive loss clusters.

Q2: Why is Half-Kelly the institutional standard?

Half-Kelly reduces volatility by 50% and peak drawdown by roughly one-third while delivering approximately 75% of the maximum theoretical growth rate.

Q3: How does SlateTick support Half-Kelly Optimal Growth Model?

SlateTick's quantitative calculator suite features interactive Kelly and Half-Kelly modeling tools that pull directly from your paper trading journal statistics.

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Launch Terminal Paper Trading Journal

Half Kelly Optimal Growth Calculator for Paper Trading

Half Kelly Optimal Growth Calculator establishes a structured, quantitative record of every simulated order, documenting entry triggers, stop-loss invalidation prices, technical targets, and psychological state. By transforming raw market executions into diagnostic metrics across at least 50 trades, traders eliminate unforced errors, verify true statistical edge, and establish the operational discipline necessary before risking commercial capital.

Simulated Account: $100,000 virtual balance. Baseline Risk (1.0R): $1,000. Trade Model: Half-Kelly Optimal Growth Model on Apple Inc. (AAPL). Simulated Account: $100,000 balance. Historical Strategy Metrics (AAPL 60 Trades): - Win Rate (p): 58.0% (0.58) - Loss Rate (q = 1 - p): 42.0% (0.42) - Average Winner (Aw): +$2,100 | Average Loser (Al): -$1,000 - Payoff Ratio (b = Aw / Al): $2,100 / $1,000 = 2.10 Kelly Formulation & Sizing Computation: Full Kelly K% = (p * b - q) / b = (0.58 * 2.10 - 0.42) / 2.10 = (1.218 - 0.42) / 2.10 = 38.0%. Institutional Half-Kelly Scaling: - Half-Kelly Sizing = 38.0% / 2 = 19.0% capital allocation ($19,000 notional margin). - If trading AAPL @ $225.00 with $2.50 stop ($1.11% price risk), 19% capital allocation equals 84 shares. - Maximum Risk at Stop: 84 * $2.50 = $210 (0.21% portfolio risk, safely bounded). Mathematical Takeaway: Half-Kelly captures 75% of peak geometric compounding with a 50% reduction in maximum drawdown.