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Cropped version of the official logo of Dr Krzysztof Ozimek, representing quantitative finance education and research.
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  • S&P 500 5-minute downtrend, April 2025: price chart and simulated Sharpe ratio histogram with Normal, SHASHo and Normal (Prado) fits
    Quantitative Finance

    SHASHo vs. Normal: Conditioning the Sharpe Ratio Estimator’s Sampling Distribution

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    Does SHASHo beat the Normal for the Sharpe ratio estimator? Six S&P 500 windows at 5-minute, 1-hour and daily frequencies, tested against a formula benchmark.

    Read More SHASHo vs. Normal: Conditioning the Sharpe Ratio Estimator’s Sampling DistributionContinue

  • Packt Agentic AI for Finance certification course dates with Nicole Konigstein and Dr Krzysztof Ozimek final impressions banner
    Quantitative Finance

    Agentic AI for Finance: Final Impressions

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    Final impressions on Nicole Konigstein’s Agentic AI for Finance certification with Packt: loop engineering, evaluation, security, and deployment for finance teams.

    Read More Agentic AI for Finance: Final ImpressionsContinue

  • Balance scale weighing Normal against SHASHo, with SHASHo's pan asking to be conditioned too
    Quantitative Finance

    Sharpe Ratio Distribution: When Normal’s a No-Go, Why Not SHASHo? (4/4)

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    Series finale: if López de Prado et al.’s conditional variance improves Sharpe ratio inference, could a fully conditional SHASHo do the same, and more?

    Read More Sharpe Ratio Distribution: When Normal’s a No-Go, Why Not SHASHo? (4/4)Continue

  • Promotional graphic for Packt's Agentic AI for Finance certification bootcamp with Nicole Königstein, listing all four session dates, Day 1 August 29, Day 2 August 30, Day 3 September 12, Day 4 September 13, with Days 3 and 4 highlighted as this weekend
    Quantitative Finance

    Agentic AI for Finance Bootcamp: Days 3 & 4

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    I am back for the second half of Nicole Königstein’s live 4-day “Agentic AI for Finance Certification” bootcamp (Packt Publishing), which teaches you how to:

    Read More Agentic AI for Finance Bootcamp: Days 3 & 4Continue

  • Packt Publishing event graphic for the September 19, 2026 workshop "How Modern AI Systems Really Find Answers: Build GraphRAG Applications with Neo4j and LLM Agents," featuring speaker Alessandro Negro, Chief Scientist at GraphAware and Strategy Advisor at UBIAI, alongside the text "I'll be there."
    Quantitative Finance

    GraphRAG with Neo4j: A Quant’s Preview

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    On September 19, from 15:30 to 19:30 CEST, I’ll be joining a hands-on, virtual workshop presented by Packt Publishing and led by Dr. Alessandro Negro, Chief Scientist at GraphAware — and I wanted to share why I’m looking forward to it.

    Read More GraphRAG with Neo4j: A Quant’s PreviewContinue

  • Graph illustrating hedged versus unhedged portfolio values as a risk factor changes, highlighting the effectiveness of numerical hedging.
    Quantitative Finance

    Numerical Hedging of Portfolio Risk via Approximated Derivatives

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    This post presents a conceptual method for constructing hedging strategies using numerical approximations of derivatives with respect to tradable risk factors. Focusing on a selected factor, we show how first- and second-order sensitivities of portfolio value can be estimated from models or data-driven sources. These are then used to build hedges that neutralize both linear and curvature risk, enabling robust, model-agnostic risk management.

    Read More Numerical Hedging of Portfolio Risk via Approximated DerivativesContinue

  • Test setup, anchoring mu, standardizing, and the conditional exact probability transform
    Quantitative Finance

    Sharpe Ratio Distribution: When Normal’s a No-Go, Why Not SHASHo? (3/4)

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    Post 2/4 (Block 3) landed on the exact, unconditional result: P(SR-hat ≤ SR-hat*) = Φ(R*) — SHASHo’s probability that the SR estimator falls at or below any value collapses exactly to a standard Normal one.

    Five slides attached, being the main content of this post, follow: the first sets up the test’s conditional probability, the remaining four present the test-related measures built on it.

    Read More Sharpe Ratio Distribution: When Normal’s a No-Go, Why Not SHASHo? (3/4)Continue

  • Packt certification banner for Agentic AI for Finance with instructor Nicole Königstein, showing four live session dates in August and September, captioned First Weekend Impressions by Dr Krzysztof Ozimek
    Quantitative Finance

    Agentic AI for Finance: First Impressions of Nicole Königstein’s Packt Course

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    Gifted review ticket from Packt Publishing — honest, unpaid opinion below.
    I completed the first two of four 4-hour live sessions in Nicole Königstein’s “Agentic AI for Finance” certification course with Packt, and want to share, as an educator and researcher in quantitative finance, an honest first impression, with more sessions still to come.

    Read More Agentic AI for Finance: First Impressions of Nicole Königstein’s Packt CourseContinue

  • Box plots comparing bootstrapped Sharpe ratio and maximum drawdown for Buy and Hold versus a 1/3-1/3-1/3 long-flat-short strategy on S&P 500 daily returns
    Quantitative Finance

    A Performance Metric Isn’t a Fixed Number, It’s a Random Variable

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    This post builds on my earlier post, where I discussed comparing trading strategies from a distributional perspective. Here I show a simple implementation using Pyfolio Reloaded’s bootstrap tools and seaborn. For readers interested in a more rigorous statistical treatment—modeling the full conditional distribution of the performance metric—I discuss the approach using GAMLSS

    Read More A Performance Metric Isn’t a Fixed Number, It’s a Random VariableContinue

  • The three structural assumptions behind SHASHo: anchoring mu, the location-scale adjustment and R transform, and the exact probability transform
    Quantitative Finance

    Sharpe Ratio Distribution: When Normal’s a No-Go, Why Not SHASHo? (2/4)

    Dr Krzysztof Ozimek, a Quantitative Investment & Trading Research EducatorDr Krzysztof Ozimek

    In the first post (1/4), a GAMLSS fit picked SHASHo over Normal for the Sharpe ratio estimator (López de Prado et al., 2026) — all four parameters statistically significant, a better GAIC than Normal, and an exact transform (R transform) to standard Normal already in hand.

    Read More Sharpe Ratio Distribution: When Normal’s a No-Go, Why Not SHASHo? (2/4)Continue

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