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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.

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48 results for pricing measures

The paper reviews historical and modern approaches to asset pricing probability measures.

problem Constructing or selecting probability measures for asset pricing.
method Historical review of various approaches including state price theory, martingale measures, and modern data-driven methods.
result Modern asset pricing involves constructing, transforming, or selecting probability measures to represent market prices.

We derive measure change formulae required to price midcurve swaptions in the forward swap annuity measure with stochastic annuities' ratios. We construct the corresponding linear and exponential terminal swap rate pricing models and show how they capture the midcurve swaption correlation skew.

2018-12-10abs ↗pdf ↗

New financial model revises risk measure under NA condition.

problem Revising classical financial mathematics with coherent risk measure on L0L^0.
method Developed a new version of the fundamental theorem of asset pricing and provided dual representations.
result Set of risk-hedging prices is closed under NA condition.

In the framework of bilateral Gamma stock models we seek for adequate option pricing measures, which have an economic interpretation and allow numerical calculations of option prices. Our investigations encompass Esscher transforms, minimal entropy martingale measures, pp-optimal martingale measures, bilateral Esscher…

2019-07-23abs ↗pdf ↗

This paper proposes a new geometric framework for asset pricing.

problem The asymmetry between risk-neutral and physical measures in asset pricing.
method Information geometry, focusing on the relativity of probabilistic reference frames.
result Unified explanation for price fluctuations, event-driven behavior, and risk premia.

Measures price impact in order-driven markets without relying on averages.

problem Measuring price impact in order-driven markets without relying on averages.
method Modeling the limit order book using state-dependent Hawkes processes and defining price impact profile as a function of the compensator of a stochastic process.
result The clustering of sell child orders has a bigger impact on price than their sizes.

The article provides representations of exchange option prices under SVJD dynamics.

problem Modeling and pricing exchange options under stochastic volatility and jumps.
method Develops representations for European and American exchange options using SVJD dynamics and equivalent martingale measures.
result Derives integro-partial differential equations and representations for exchange option prices.

Singapore's cooling measures did not increase housing wealth overall.

problem The impact of cooling measures on housing wealth distribution.
method Examined Singapore's cooling measures over ten rounds, analyzing welfare from housing wealth.
result Welfare from housing wealth in the last round might not be higher than before 2009, depending on the deflator.

We introduce the entropic measure transform (EMT) problem for a general process and prove the existence of a unique optimal measure characterizing the solution. The density process of the optimal measure is characterized using a semimartingale BSDE under general conditions. The EMT is used to reinterpret the conditiona…

2015-11-19abs ↗pdf ↗

New method uses non-translation invariant risk measures for fair financial derivative pricing.

problem Inequalities in financial derivative pricing under traditional risk measures.
method Deep reinforcement learning with modified deep hedging algorithm.
result Effective pricing of financial derivatives without price inflation.

Generalizes Black-Scholes model for option pricing under uncertainty.

problem Traditional Black-Scholes model for option pricing under uncertainty.
method Generalized Black-Scholes model using non-symmetric Dirichlet forms and abstract PDE theory.
result Well-posedness of the generalized model established.

Unified framework for ESG-inclusive portfolio optimization and pricing.

problem Incorporating ESG ratings into dynamic asset pricing theory.
method Introducing ESG-valued return as a linear transformation of financial and ESG scores, preserving traditional risk aversion with an ESG affinity parameter.
result Developed a more complex portfolio optimization problem in a space governed by reward, risk, and ESG score.

Method determines asset prices in incomplete markets to optimize portfolios.

problem Optimizing portfolios in incomplete markets with price constraints.
method Maximum entropy in the mean to adjust distortion function from bid-ask data.
result Prices of assets comply with portfolio optimization constraints.

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage property. We show that prices are coherent if and only if the set of pricing measure…

2014-10-23abs ↗pdf ↗

This paper uses SampEn to measure and predict oil price volatility.

problem Measuring and predicting volatility in international oil prices.
method Sample Entropy (SampEn) compared with standard deviation; machine learning algorithms used.
result SampEn effectively predicts traditional volatility measures, especially during financial crises.

The paper addresses pricing interest rate derivatives in markets with volatility uncertainty.

problem Pricing interest rate derivatives under uncertainty about volatility.
method Modeling volatility uncertainty with G-Brownian motion and defining forward sublinear expectation.
result Developed robust pricing formulas for interest rate derivatives.

The paper extends the market price of risk for electricity swap contracts, incorporating jump risk.

problem Pricing electricity swap contracts with consideration of jump risk.
method Introducing a Merton type model with jumps and transferring to the physical measure, comparing arithmetic and geometric averaging.
result A decomposition of swap's market price of risk into classical and market price of risk components.

Introduces an asymmetric model for measuring market risk.

problem Existing models are symmetric and do not account for asymmetric risk.
method Develops an asymmetric capital asset pricing model that considers position-dependent market risk.
result Long positions in Apple stock have lower volatility than the market, contrary to the standard model.

In electricity markets, it is sensible to use a two-factor model with mean reversion for spot prices. One of the factors is an Ornstein-Uhlenbeck (OU) process driven by a Brownian motion and accounts for the small variations. The other factor is an OU process driven by a pure jump Lévy process and models the characteri…

2013-08-15abs ↗pdf ↗

The paper studies projections of asset prices under equivalent martingale measures.

problem Understanding the impact of information on asset price bubbles and arbitrage opportunities.
method Analyzes optional projections of local martingales into a smaller filtration under equivalent martingale measures.
result Provides general results and specific examples like inverse Bessel process and stochastic volatility models.

Deep RL solves dynamic risk pricing for complex financial models.

problem Dynamic risk measures in financial derivatives pricing.
method Deterministic actor-critic deep reinforcement learning (ACRL) for time-consistent expectile risk.
result High-quality hedging policies and prices for complex financial instruments.

The paper has 2 main goals: 1. We propose a variant of the CAPM based on coherent risk. 2. In addition to the real-world measure and the risk-neutral measure, we propose the third one: the extreme measure. The introduction of this measure provides a powerful tool for investigating the relation between the first two mea…

2006-05-02abs ↗pdf ↗

Proposes second-order Esscher transform for Lévy models in financial markets.

problem Risk management and quantification in markets with jumps and Lévy dynamics.
method Derives densities, equivalent measures, and pricing formulas for European call options.
result Option prices are bounded and monotonic with the second-order Esscher parameter.

We consider arbitrage free valuation of European options in Black-Scholes and Merton markets, where the general structure of the market is known, however the specific parameters are not known. In order to reflect this subjective uncertainty of a market participant, we follow a Bayesian approach to option pricing. Here …

2016-02-15abs ↗pdf ↗

We propose a pricing technique based on coherent risk measures, which enables one to get finer price intervals than in the No Good Deals pricing. The main idea consists in splitting a liability into several parts and selling these parts to different agents. The technique is closely connected with the convolution of coh…

2006-05-02abs ↗pdf ↗

This paper evaluates forecast quality in electricity markets beyond traditional accuracy measures.

problem Traditional accuracy measures fail to reflect the economic value of electricity price forecasts.
method Investigates four quality dimensions: accuracy, dispersion, association, and extremum identification.
result Dispersion- and association-based measures better capture forecast economic value.

Study uses neural networks to improve option pricing accuracy.

problem Reducing variance in Monte Carlo estimators for option pricing.
method Characterizes neural networks' universal approximation property and applies it to sampling measures.
result Sampling measures generated by neural networks can approximate optimal measures arbitrarily well.

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage property. We show that prices are coherent if and only if the set of pricing measure…

2014-06-02abs ↗pdf ↗