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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 bid/ask curves

A new relaxed framework for pricing illiquid derivatives using bid-ask spreads.

problem Pricing illiquid derivatives with realistic bounds and hedging prices.
method Introducing Bid--Ask Martingale Optimal Transport (BAMOT) that relaxes the exact calibration of model marginals to mid-prices of vanilla options.
result BAMOT yields realistic price bounds and superhedging prices for illiquid derivatives.

In this paper a finite discrete time market with an arbitrary state space and bid-ask spreads is considered. The notion of an equivalent bid-ask martingale measure (EBAMM) is introduced and the fundamental theorem of asset pricing is proved using (EBAMM) as an equivalent condition for no-arbitrage. The Cox-Ross-Rubinst…

2014-07-12abs ↗pdf ↗

Model predicts bid and ask price dynamics with spread-dependent intensities.

problem Predicting bid and ask price dynamics in high-frequency stock markets.
method Extended Hawkes process with zero intensities, spread-dependent intensities, and negative excitement.
result Spread-narrowing tendency, excitations caused by previous events, impact of flash crashes, and different market participant features.

Quantum theory explains price dynamics in financial markets, capturing bid-ask spread and ergodicity.

problem Nature of price formation in financial markets and bid-ask spread dynamics.
method Developed a quantum coupled-wave theory using a 2x2 price operator with eigenvalues representing bid and ask prices.
result The theory adequately models bid-ask spread and directional price movement due to quantum-chaotic interaction.

Paper uses reinforcement learning to optimize bid-ask spreads in OTC markets.

problem Optimizing bid-ask spreads in over-the-counter markets with dynamic order sizes.
method Reinforcement learning to solve high-dimensional stochastic control problem.
result Optimal bid-ask spreads follow a Gaussian distribution under certain conditions.

Microstructure of market dynamics is studied through analysis of tick price data. Linear trend is introduced as a tool for such analysis. Trend arbitrage inequality is developed and tested. The inequality sets limiting relationship between trend, bid-ask spread, market reaction and average update frequency of price inf…

2006-07-10abs ↗pdf ↗

The paper proposes estimators for bid-ask spreads with and without serial dependence.

problem Estimating bid-ask spreads in financial markets with and without serial dependence.
method The authors propose moment-based estimators for bid-ask spreads, considering both geometric Brownian motion and geometric fractional Brownian motion for price dynamics, and Ornstein-Uhlenbeck process for microstructure noise.
result The estimators are consistent and asymptotically normal, and perform well compared to existing approaches on simulated data.

The paper shows how to calculate risk-neutral default probabilities from bid and ask CDS quotes.

problem Calculating risk-neutral default probabilities from market quotes.
method Using conic finance framework and Poisson process to formulate and solve the calibration problem.
result A unique solution for risk-neutral default probabilities and implied liquidity.

We develop a theory of bid and ask price dynamics where the two prices form due to interaction of buy and sell orders. In this model the two prices are represented by eigenvalues of a 2x2 price operator corresponding to "bid" and "ask" eigenstates. Matrix elements of price operator fluctuate in time which results in ph…

2013-12-17abs ↗pdf ↗

Paper tackles market making in corporate bonds using deep reinforcement learning.

problem Optimizing bid and ask quotes for a large universe of bonds in OTC markets.
method Discrete-time actor-critic algorithm with deep neural networks.
result Approximates optimal bid and ask quotes over a large universe of bonds.

Unified models for asset prices with transaction costs and infinite variation strategies.

problem Models with transaction costs and infinite variation strategies.
method Unified models using semimartingale price systems.
result Existence of a semimartingale price system consistent with transaction costs.

In our empirical study, we examine the price of liquid stocks after experiencing a large intraday price change using data from the NYSE and the NASDAQ. We find significant reversal for both intraday price decreases and increases. The results are stable against varying parameters. While on the NYSE the large widening of…

2004-06-28abs ↗pdf ↗

One popular approach to model the limit order books dynamics of the best bid and ask at level-1 is to use the reduced-form diffusion approximations. It is well known that the biggest contributing factor to the price movement is the imbalance of the best bid and ask. We investigate the data of the level-1 limit order bo…

2015-08-31abs ↗pdf ↗

A model-free framework extracts risk-neutral densities from short-dated options.

problem Arbitrage and bid-ask spread issues in short-dated options.
method Develops ARIES for filtering static arbitrage and SEDEx for density extraction.
result Robust density extraction across various market conditions and volatility smiles construction.

The statistical properties of the bid-ask spread of a frequently traded Chinese stock listed on the Shenzhen Stock Exchange are investigated using the limit-order book data. Three different definitions of spread are considered based on the time right before transactions, the time whenever the highest buying price or th…

2006-12-31abs ↗pdf ↗

A limit order book provides information on available limit order prices and their volumes. Based on these quantities, we give an empirical result on the relationship between the bid-ask liquidity balance and trade sign and we show that liquidity balance on best bid/best ask is quite informative for predicting the futur…

2012-04-06abs ↗pdf ↗

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.

New findings on option pricing under bounded bid-ask spreads, showing minimal obstruction and explicit operator.

problem Analyzing option pricing under bounded bid-ask spreads for finite call quotes.
method Corrected conditions, explicit operator, robust superhedging duality.
result Minimal obstruction and explicit two-date basket operator for bounded spread reference/shadow geometry.

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error. We here propose an efficient algorithm based on the stochastic gradient method to…

2015-01-29abs ↗pdf ↗

The paper introduces a new price model based on entropy that better fits high-frequency market data.

problem Understanding fair prices in high-frequency markets with bid-ask imbalance.
method A parametrized family of prices derived from the Maximum Entropy Principle, minimizing bias given volume imbalance.
result The model can generate higher kurtosis and heavy-tailed distributions compared to standard models.

In this paper, the optimal pricing strategy in Avellande-Stoikov's for a monopolistic dealer is extended to a general situation where multiple dealers are present in a competitive market. The dealers' trading intensities, their optimal bid and ask prices and therefore their spreads are derived when the dealers are info…

2015-12-30abs ↗pdf ↗

This paper uses HCR to predict bid-ask spreads from accessible data.

problem Predicting bid-ask spreads from incomplete data.
method Hierarchical correlation reconstruction (HCR) to model conditional distributions.
result Accurate predictions of bid-ask spreads with interpretable coefficients.

Study optimal semi-static hedging for illiquid markets using dynamic cash and static quoted derivatives.

problem Optimal pricing of exotic derivatives in illiquid markets with bid-ask spreads.
method Use Galerkin method and integration quadratures to approximate hedging problem as convex optimization, solved by interior point method.
result Semi-static hedging improves pricing and reduces transaction costs compared to static or dynamic trading alone.

Study models arrival rates and cancellation rates of limit orders in Borsa Istanbul.

problem Understanding order dynamics in Borsa Istanbul's stock market.
method Used limit order book data from Garanti Bank. Tested three discrete probability distributions and two theoretical models for arrival rates. Examined cancellation rates using L1 norms.
result Modelled daily, weekly, and monthly arrival rates of limit orders in the first fifteen bid and ask price levels.

Motivated by the literature on investment flows and optimal trading, we examine intraday predictability in the cross-section of stock returns. We find a striking pattern of return continuation at half-hour intervals that are exact multiples of a trading day, and this effect lasts for at least 40 trading days. Volume, o…

2010-05-19abs ↗pdf ↗