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Derivatives & Volatility

Option pricing, volatility models and forecasting, hedging and implied surfaces.

Papers featured
917
Last 12 months
79
Cited 100+
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SSRN

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Most cited

Featured papers in this topic with the most citations today.

  1. 15 May 2024

    Risk Revisited

    The study identifies recency, cluster, and sign as three factors shaping investors' risk perceptions of a stock, influencing trading volume and future volatility.

    SSRN

    88cites
  2. 12 Jul 2023

    Rough Volatility: Fact or Artefact?

    Fact or Artifact: The study proposes a new method to estimate the roughness of financial asset volatility, attributing observed roughness to microstructure noise.

    arXivIn Sankhya B

    55cites
  3. 12 Dec 2024

    A Consolidated Volatility Prediction with Back Propagation Neural Network and Genetic Algorithm

    The article presents a unique AI model for predicting future volatility in emerging stock markets, showing high accuracy and low error rates.

    arXivIn 2024 International Conference on Image Processing, Computer Vision and Machine Learning (ICICML)Featured 2×

    25cites
  4. 6 Dec 2023

    Physics-informed convolutional transformer for predicting volatility surface

    The paper presents a new architecture using physics-informed neural networks and convolutional transformers for better predicting financial market volatility.

    arXivIn Quantitative Finance

    24cites
  5. 20 Jun 2024

    Operator Deep Smoothing for Implied Volatility

    A novel method for smoothing implied volatility using neural operators is presented, which maps data to smoothed surfaces, respects no-arbitrage rules, and is robust to input subsampling.

    arXivIn International Conference on Learning Representations

    23cites
  6. 19 Jul 2023

    Rough PDEs for Local Stochastic Volatility Models

    The article presents a new way to set prices in local stochastic volatility models, using rough path theory to understand conditional dynamics and price European options.

    arXivIn Mathematical Finance

    21cites
  7. 16 Jan 2026

    Realised Volatility Forecasting: Machine Learning via Financial Word Embedding

    A new NLP framework shows that adding news text can improve stock volatility forecasting, particularly during volatile times, when combined with standard models.

    arXiv

    20cites
  8. 3 Jan 2024

    Robust Risk-Aware Option Hedging

    The study highlights the effectiveness of robust risk-aware reinforcement learning in managing risks related to path-dependent financial derivatives, especially in hedging barrier options, proving robust strategies are superior.

    arXivIn Applied Mathematical Finance

    19cites
  9. 20 Mar 2024

    A path-dependent PDE solver based on signature kernels

    The article introduces a new, verifiably effective kernel-based solver for path-dependent partial differential equations (PPDEs). This provides a practical alternative to Monte Carlo methods, especially for option pricing under rough volatility.

    arXivIn Mathematics of Computation

    18cites
  10. 20 Dec 2023

    Convergence of Heavy‐Tailed Hawkes Processes and the Microstructure of Rough Volatility

    The research identifies the weak convergence of a nearly-unstable Hawkes process with a heavy-tailed kernel, useful for creating a scaling limit for a financial market model.

    arXivIn Mathematical FinanceFeatured 3×

    18cites
  11. 17 Jul 2024

    The Self-Organized Criticality Paradigm in Economics&Finance

    The article proposes Self-Organised Criticality as a reason for extreme volatility in financial markets and large business cycle fluctuations, calling for specific policy considerations.

    arXiv

    17cites
  12. 17 Jan 2024

    Deep Signature Algorithm for Multidimensional Path-Dependent Options

    The research expands the backward scheme for state-dependent FBSDEs with reflections to path-dependent FBSDEs, demonstrating the convergence of the numerical algorithm and providing examples of its use.

    arXivIn SIAM J. Financial Math.

    17cites

Latest

  1. 6 Nov 2026

    A Rough Instantaneous Squared VIX Model for Term Structure and Option Pricing

    A rough-memory VIX model with Mittag-Leffler decay improves term-structure fit and out-of-sample option pricing, with larger gains during elevated volatility and shorter maturities.

    arXiv

    3fanfare
  2. 6 Nov 2026

    Neural Realized Measures: Forecast-Supervised Intraday Aggregation for Volatility Forecasting

    Learning forecast-supervised weights for intraday volatility aggregation reduces forecasting error while preserving the structure of classical realized measures like raw realized variance.

    arXiv

    2fanfare
  3. 6 Nov 2026

    Neural Score-Driven Volatility and Risk Forecasting

    A score-driven volatility model using neural networks to represent innovation density flexibly outperforms Gaussian and Student-t benchmarks, especially during high-volatility periods like COVID-19.

    arXiv

    2fanfare
  4. 6 Nov 2026

    Nonparametric GARCH: An Iterated Neural Estimator

    An iterated neural estimator for GARCH processes alternates between learning the recursion and updating conditional variances, achieving minimax-optimal rates for in-sample and forecasting tasks.

    arXiv

    2fanfare
  5. 6 Nov 2026

    How market volatility responds to a preceding price trend: a lag-resolved measurement in cryptocurrencies and equities

    Measuring minute-by-minute volatility response to preceding trends, the research finds asymmetry and evidence of one-sided temporal response in cryptocurrencies but not equities, decomposed via time-reversal symmetry.

    arXiv

    2fanfare
  6. 6 Nov 2026

    Security and Derivative Pricing with Fast Regime Switches

    The paper solves regime-switching models for affine and exponential-Lévy securities by reducing to one linear system, expanding the solution in mean holding time and pricing bonds, options, and credit instruments.

    arXiv

    2fanfare
  7. 6 Nov 2026

    Quantifying Repair Risk in Crypto Option Surfaces

    Option-surface repairs that satisfy no-arbitrage constraints admit multiple admissible solutions, and finite-difference amplification causes downstream Greeks and risk measures to diverge substantially.

    arXiv

    2fanfare
  8. 6 Nov 2026

    AP-PEN: A Hard-Constrained, Physics-Enforced Network for Convenience-Yield Inversion from Commodity Futures

    A neural network that analytically enforces the Gibson-Schwartz PDE recovers commodity convenience yield from futures and avoided implausible estimates during the April 2020 WTI dislocation.

    SSRN

    2fanfare
  9. 6 Nov 2026

    The Shape of a Public-Data Volatility Surface: Term-Structure Carry, and the Limits of Measuring Skew

    Tests term-structure and skew trading signals in equity volatility from free public data, showing term-structure carry lifts Sharpe ratio to 2.94 but skew lacks sufficient historical data.

    SSRN

    2fanfare
  10. 30 Oct 2026

    Weekend Crypto Volatility and Monday Market Risk

    Weekend cryptocurrency volatility predicts Monday variance in equities, commodities and bonds 11-22% better post-2024, following US Bitcoin ETF approval in late 2023.

    arXiv

    3fanfare
  11. 30 Oct 2026

    A Deep Learning-Driven Operator Splitting Scheme for Free Boundary Problems: An Application to American Option Pricing in Incomplete Markets

    Operator splitting scheme with physics-informed neural networks prices five-dimensional American options under transaction costs and stochastic liquidity with validated boundary accuracy.

    arXiv

    2fanfare
  12. 30 Oct 2026

    Smooth Threshold GARCH: Quasi Maximum Likelihood Estimation and Empirical Evidence

    A GARCH variant with an estimated threshold captures volatility responding asymmetrically to positive versus negative returns, allowing positive returns to have no volatility impact.

    arXiv

    2fanfare
  13. 30 Oct 2026

    On the continuity of conditional distributions and stratification for derivative pricing

    The research establishes continuity results for conditional expectations in stratified Monte Carlo, enabling neural networks to construct admissible stratification factors for path-dependent claims.

    arXiv

    2fanfare
  14. 30 Oct 2026

    Upsilon: A Joint Spot-Volatility-Time Sensitivity for Zero-Days-to-Expiration Index Options

    The study defines Upsilon, an effective sensitivity for zero-days-to-expiration index options that captures the predictable, asymmetric joint dynamics of spot, implied volatility and time decay over their six-hour life.

    SSRN

    3fanfare
  15. 30 Oct 2026

    How Long is Five Minutes?

    Validating against event-contract settlement data, the five-minute midquote captures only 68.7% of true price impact and significantly misprices thin markets, challenging the convention.

    SSRN

    2fanfare
  16. 30 Oct 2026

    A Correlated Random-level Volatility Model: Exact One-dimensional Pricing with Skew

    A six-parameter volatility model with one Gaussian factor prices European options exactly and captures implied-volatility skew better than SSVI or Heston, though short-maturity slopes remain too steep.

    SSRN

    2fanfare
  17. 30 Oct 2026

    Rebuilding an Equity Volatility Surface from Public Data: Reliability and the Variance Risk Premium

    A pipeline reconstructs equity volatility surfaces from free options data and assesses reliability; a short delta-hedged straddle harvests the variance risk premium, profitable in pre-registered tests but with realistic frictions limiting the edge.

    SSRN

    2fanfare
  18. 30 Oct 2026

    AFNO: Universal Certifiably-Arbitrage-Free Operator Learning Framework for European Call-Price Surfaces

    Proposes a neural-operator architecture that certifiably outputs arbitrage-free European call-price surfaces, addressing failure of standard neural operators to enforce no-arbitrage constraints.

    SSRN

    2fanfare
  19. 23 Oct 2026

    Arbitrage-Free Implied Volatility Surface Reconstruction via Additive Martingales

    AddMart reconstructs implied volatility surfaces from sparse quotes by mapping to martingale densities, ensuring no-arbitrage by construction and enabling crash probability estimation.

    arXiv

    0cites
  20. 23 Oct 2026

    DSINC beyond Heston: the 3/2 and other non-affine stochastic-volatility models

    The paper extends damped-sinc methods beyond Heston to general one-factor stochastic-volatility models including the 3/2 and SABR, achieving basis-point accuracy with comparable computational cost.

    arXiv

    0cites
  21. 23 Oct 2026

    Arithmetic Models for Commodity Futures, Vanilla, and Calendar Spread Options

    An arithmetic stochastic volatility model for crude oil provides semi-closed-form pricing for vanilla and calendar spread options, hedges daily risk effectively, and improves fit over geometric models.

    arXiv

    0cites
  22. 23 Oct 2026

    Uncertainty and Explainability in Deep Rough Volatility: A Neural Information-Theoretic Posterior Approach

    Simulation-based inference learns posterior distributions for rough Heston parameters and propagates them through neural pricers to deliver calibrated uncertainty intervals for exotic options.

    arXiv

    0cites
  23. 23 Oct 2026

    Learning Before Scheduled Events: Prediction Markets, State Prices, and Option Valuation

    Prediction-market prices serve as risk-adjusted state prices to measure event probability and information arrival, improving option valuation and revealing market frictions in elections and Brexit.

    SSRN

    3fanfare
  24. 23 Oct 2026

    Candlestick Words Improve Intraday Volatility Forecasts Beyond HAR and GARCH

    Encoding intraday bars as descriptive words adds 1.7 to 3.7 points of out-of-sample R² to standard volatility models after spikes but shows no edge on daily bars.

    SSRN

    3fanfare
  25. 23 Oct 2026

    What Is a Corporate Bond Spread Made of? Decomposition, Pricing and a Real-Time Backtest in Brazil’s Debenture Market

    Decomposing debenture spreads into issuer, market, and contract components shows issuer risk explains 54 percent of variance, enabling out-of-sample pricing within 14 basis points.

    SSRN

    3fanfare
  26. 23 Oct 2026

    From PDE Residuals to Hedging Risk: A Posteriori Diagnostics for Neural Option Pricing with Trading Costs and Volatility Misspecification

    The research separates pricing error from hedging loss by decomposing delta-hedge profit and loss into terminal mismatch, residuals, volatility misspecification, rebalancing, and trading costs.

    SSRN

    2fanfare
  27. 23 Oct 2026

    Urgency, Liquidity, and the Price of Convenience

    A monetary asset pricing model estimates the convenience yield of liquidity at 5.1% annually, roughly ten times conventional measures, with only 24% attributable to urgency.

    RePEc

    3fanfare
  28. 16 Oct 2026

    GROMM: Generative Risk-neutral Option Market Models

    The research develops a statically and dynamically arbitrage-free model for European option prices with smooth interpolation, fitting market data within bid-ask spreads for over 95% of relevant options.

    arXiv

    0cites
  29. 16 Oct 2026

    Three options are roughly enough - Variance-optimal semi-static hedging in the rough Heston model

    The paper shows that combining dynamic trading in the underlying with static positions in three vanilla options reduces variance-swap hedging error by more than 95% across different market roughness regimes.

    arXiv

    0cites
  30. 16 Oct 2026

    MLP-Initialized Reinforcement Learning for Exit Timing in SPX Short-Straddle Portfolios

    An MLP-initialized reinforcement-learning framework optimizes exit timing for short-straddle options, achieving 37.54% cumulative return and a Sharpe ratio of 1.705 out-of-sample over 2024-2026.

    arXiv

    0cites

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