advanced-math-tradingoptimization-advanced
Advanced optimization for trading: OCO, multi-objective, DRO, MIP, Bayesian opt, plus convex/Markowitz/BL references.
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Advanced optimization for trading: OCO, multi-objective, DRO, MIP, Bayesian opt, plus convex/Markowitz/BL references.
Analyzes long straddle volatility plays with ATM call and put at same strike. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting large price movement in either direction...
Analyzes iron butterfly credit spreads with ATM short straddle and OTM long strangle protection. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting stock to pin at speci...
Probability, moments/tails, Bayes, and statistical learning foundations for systematic trading.
Assess credit risk and default probability for bonds using credit spreads, rating transitions, and recovery analysis. Requires numpy>=1.24.0, pandas>=2.0.0, scipy>=1.10.0. Use when evaluating corporate bonds, a...
Analyzes and implements married-put options strategies for portfolio protection. Calculates breakeven points, profit/loss scenarios, and compares strike prices (ITM, ATM, OTM) across multiple expiration cycles....
Implement covered call options strategy for income generation on long stock positions. Use when seeking to enhance returns through option premium collection while maintaining stock ownership. Covers structure,...
Time series modeling, stationarity, ARIMA/GARCH, SDEs, and regime detection for trading.
Analyzes iron condor credit spreads with OTM put and call spreads for range-bound trading. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting sideways price action, want...
Compare bond performance against market benchmarks and indices. Analyzes yield spreads, duration matching, and relative value. Requires numpy>=1.24.0, pandas>=2.0.0. Use when evaluating bonds against peers, mea...
Factor modeling and portfolio construction (Markowitz, Black-Litterman, constraints, turnover).
Comprehensive financial statement analysis including ratio calculation, trend analysis, and peer comparison. Evaluates liquidity, profitability, efficiency, and leverage metrics. Requires numpy>=1.24.0, pandas>...
Price fixed income securities using present value, yield-to-maturity, and market conventions. Handles treasuries, corporates, municipals with various coupon frequencies. Requires numpy>=1.24.0, pandas>=2.0.0, s...
Tail risk, EVT, regularization, validation guardrails, and common pitfalls.
Analyzes long call butterfly spreads with 3 strikes and 4 legs for neutral outlook. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting minimal price movement, want low-c...
Analyzes bear-put-spread debit spreads for bearish directional plays with defined risk. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting moderate price decline, compar...
Game theory, network/systemic risk views, queueing/order-book, exchange notes.
Analyzes protective collar strategies combining long stock, long put protection, and short call income. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0. Use when protecting stock positions with reduced...
Analyzes bull-call-spread debit spreads for bullish directional plays with defined risk. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting moderate price increase, comp...
Analyzes long strangle volatility plays with OTM call and put at different strikes. Requires numpy>=1.24.0, pandas>=2.0.0, matplotlib>=3.7.0, scipy>=1.10.0. Use when expecting very large price movement, want lo...
Information theory (entropy/MI/TE) and causal inference for trading signals.
Optimal execution, control theory, queueing/order-book, exchange microstructure.
Identifies high-quality leads for your product or service by analyzing your business, searching for target companies, and providing actionable contact strategies. Perfect for sales, business development, and ma...
Use this skill when designing UI/UX, creating dashboards, building SaaS interfaces, or reviewing frontend design. Provides S-tier design checklist inspired by Stripe, Airbnb, and Linear.
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