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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for Option-based

The two main issues for managing wrong way risk (WWR) for the credit valuation adjustment (CVA, i.e. WW-CVA) are calibration and hedging. Hence we start from a novel model-free worst-case approach based on static hedging of counterparty exposure with liquid options. We say "start from" because we demonstrate that a nai…

2016-09-03abs ↗pdf ↗

This note re-addresses the Paris barrier options proposed by Yor and collaborators and their valuation using the Laplace transform approach. The notion of Paris barrier options, based on excursion theory and using the Brownian meander, is extended such that their valuation is now possible at any point during their life…

2002-02-28abs ↗pdf ↗

The COS method proposed in Fang and Oosterlee (2008), although highly efficient, may lack robustness for a number of cases. In this paper, we present a Stable pricing of call options based on Fourier cosine series expansion. The Stability of the pricing methods is demonstrated by error analysis, as well as by a series …

2017-01-04abs ↗pdf ↗

We construct a statistical indicator for the detection of short-term asset price bubbles based on the information content of bid and ask market quotes for plain vanilla put and call options. Our construction makes use of the martingale theory of asset price bubbles and the fact that such scenarios where the price for a…

2018-05-18abs ↗pdf ↗

We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a correlated traded asset to hedge part of their risk. We determine the optimal exercise …

2005-11-09abs ↗pdf ↗

We consider a strictly pathwise setting for Delta hedging exotic options, based on Föllmer's pathwise Itō calculus. Price trajectories are dd-dimensional continuous functions whose pathwise quadratic variations and covariations are determined by a given local volatility matrix. The existence of Delta hedging strategie…

2015-10-30abs ↗pdf ↗

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time, semi-static market of stocks and options. Based on duality results which link quantile he…

2014-08-21abs ↗pdf ↗

We consider a defaultable asset whose risk-neutral pricing dynamics are described by an exponential Lévy-type martingale. This class of models allows for a local volatility, local default intensity and a locally dependent Lévy measure. We present a pricing method for Bermudan options based on an analytical approximatio…

2016-04-29abs ↗pdf ↗

The computation of Greeks for exponential Lévy models are usually approached by Malliavin Calculus and other methods, as the Likelihood Ratio and the finite difference method. In this paper we obtain exact formulas for Greeks of European options based on the Lewis formula for the option value. Therefore, it is possible…

2014-07-04abs ↗pdf ↗

The equity risk premium is derived from SPX option chains using a model-light approach.

problem Estimating the equity risk premium from option data.
method Model-light approach using Gaussian mixture models and exponential tilting.
result The equity risk premium is calculated from the real-world probability densities inferred from option quotes.

New pricing methods for αα-quantile and early-exercise options using Spitzer identities.

problem Pricing perpetual Bermudan and American options and αα-quantile options.
method Based on Spitzer identities for general Lévy processes and Wiener-Hopf method.
result Direct calculation of the optimal exercise barrier for early-exercise options.

Double no-touch options, contracts which pay out a fixed amount provided an underlying asset remains within a given interval, are commonly traded, particularly in FX markets. In this work, we establish model-free bounds on the price of these options based on the prices of more liquidly traded options (call and digital …

2009-01-06abs ↗pdf ↗

The purpose of this article is to introduce, analyze and compare two performance participation methods based on a portfolio consisting of two risky assets: Option-Based Performance Participation (OBPP) and Constant Proportion Performance Participation (CPPP). By generalizing the provided guarantee to a participation in…

2013-02-21abs ↗pdf ↗

Method calibrates basket options using rearranged samples from constituent processes.

problem Calibrate basket options with non-linear dependency structure.
method Propose a method to extract dependency structure from market data through systematic sampling rearrangement, then calibrate a local volatility model.
result Efficiently calibrates basket options with near-perfect accuracy.

A new method uses Gaussian processes and deep kernel learning to price high-dimensional American options efficiently.

problem Challenges in pricing high-dimensional American options, especially with excessive computational costs.
method Modified Gaussian process regression with deep kernel learning and sparse variational Gaussian processes.
result The method outperforms least squares Monte Carlo in high-dimensional scenarios, especially with Merton's jump diffusion model.

Compact scheme solves American put options with regime-switching using finite differences and Hermite interpolation.

problem Pricing American put options with regime-switching model.
method Logarithmic transformation, compact finite difference scheme, Hermite interpolation.
result The scheme provides an accurate and fast solution compared to other methods.

A model-free hedging method using stock crowding scores.

problem Designing costless portfolio strategies to hedge market risk.
method Network analysis of fund holdings to compute crowding scores, constructing long-short portfolios without numerical optimization.
result Long-short portfolios provide protection against both small and large market price fluctuations.

Study optimizes dynamic product selection and pricing using censored preference feedback.

problem Maximizing revenue from dynamic assortment and pricing decisions.
method Proposes a censored multinomial logit model and LCB pricing strategy combined with UCB or TS product selection.
result Achieves optimal regret bounds for dynamic pricing and selection.

ANNs solve financial option valuation problems without numerical methods.

problem Valuation of European and American financial options.
method Unsupervised learning with artificial neural networks (ANNs) for solving PDEs.
result ANNs accurately compute option values for various stock scenarios.

The study approximates option prices using Hermite polynomials without assuming a specific distribution.

problem Approximating option prices without assuming a specific distribution of returns.
method Approximating the logarithmic return's density by a linear combination of rescaled Hermite polynomials.
result Empirical results suggest reasonable performance for options with moderate strike prices.

Quantum computing improves Monte Carlo option pricing for complex derivatives.

problem Complex financial derivatives require extensive computations in high-dimensional spaces.
method Developed a quantum algorithm for simulating many potential asset paths in parallel.
result Quantum algorithm provides highly accurate option pricing and risk analysis.

Efficiently price VIX options using multilevel Monte Carlo in rough Bergomi model.

problem Pricing VIX options in a rough Bergomi model with high computational complexity.
method Combining rectangle discretization, Cholesky sampling, and multilevel Monte Carlo.
result Reduced computational complexity to O(ε2log2(ε))\mathcal{O}(\varepsilon^{-2} \log^2(\varepsilon)) and asymptotically optimal O(ε2)\mathcal{O}(\varepsilon^{-2}).

New algorithm for contextual dueling bandits achieves nearly optimal regret.

problem Contextual dueling bandits with feedback on preferred options.
method Proposes FGTS.CDB, a Thompson sampling algorithm for linear contextual dueling bandits.
result Achieves nearly minimax-optimal regret of ildeO(dT) ilde{\mathcal{O}}(d\sqrt T).

The paper solves a financial mathematics problem using polytopes and probability measures.

problem Maximizing the expectation of functions on probability measures.
method Identifying specific functions and using polytopes to find optimal probability measures.
result The supervertex and subvertex of polytopes maximize or minimize the expected value of certain functions.

Study analyzes climate impact on agricultural prices, offering insurance solutions.

problem Financial risk from climate-induced agricultural price volatility.
method Historical and future climate projections, EGARCH and SARIMAX models, Black-Scholes framework.
result Improved agricultural risk modeling and insurance mechanisms.

In this paper, we implement and test two types of market-based models for European-type options, based on the tangent Levy models proposed recently by R. Carmona and S. Nadtochiy. As a result, we obtain a method for generating Monte Carlo samples of future paths of implied volatility surfaces. These paths and the surfa…

2015-04-01abs ↗pdf ↗

We present a novel method for the numerical pricing of American options based on Monte Carlo simulation and the optimization of exercise strategies. Previous solutions to this problem either explicitly or implicitly determine so-called optimal exercise regions, which consist of points in time and space at which a given…

2018-09-19abs ↗pdf ↗

Proposes a new model to describe positive volatility-price correlation in commodity markets.

problem Negative correlation between volatility and asset prices in commodity markets.
method Deduced a variable volatility elasticity (VVE) model from the CEV model.
result The VVE model can describe positive correlation in commodity markets.

Paper proposes efficient ML method for high-dimensional Bermudan/American option pricing.

problem High-dimensional pricing of Bermudan/American options with machine learning.
method Backward dynamic programming, Gaussian process regression, variance reduction via control variates.
result Proposed method handles large baskets efficiently, reducing variance and overcoming curse of dimensionality.

Deep Q-Learning system for straddle options in volatile markets.

problem High computational costs and unstable performance in high-volatility markets.
method Attention mechanisms in Transformer-DDQN, novel reward function, and resistance level identification.
result Transformer-DDQN model exhibits lowest maximum drawdown and highest average return.

A new method optimizes Fourier pricing for multi-asset options using adaptive quadrature.

problem Efficiently pricing multi-asset options in Lévy models.
method Optimized damping parameters and hierarchical adaptive quadrature.
result Significant speed-up in computational time for up to six dimensions.