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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.

169,051 papers · 148 categories

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8.3%16.7%25.0%33.3% · Jan 199319922001200920182026
48 results for relative price changes

Decomposes portfolio returns into drift and asset price distribution changes.

problem Understanding efficient markets through portfolio returns and asset price distributions.
method Continuous semimartingale price representations and accounting identity.
result Existence of an asset pricing factor emerges from an accounting identity across various economic and financial environments.

This paper predicts significant stock price changes using neural networks.

problem Predicting significant stock price changes.
method Three neural network models (MLP, CNN, LSTM) and two benchmark models (Random Forest, Relative Strength Index) were tested on 10-year daily stock price data of four major US companies.
result Neural network models significantly outperform traditional methods in predicting significant stock price changes.

The study compares how deletions and trades affect stock prices and spread changes.

problem Understanding the impact of deletions and trades on stock prices and spread changes.
method Examined the frequencies of relative amounts of price changing events due to trades, deletions, and order placements.
result Deletions of orders open the bid-ask spread more often than trades and have a similar effect on prices as trades.

Over the past decade, the stellar growth of Indian economy has been challenged by persistently high levels of inflation, particularly in food prices. The primary reason behind this stubborn food inflation is mismatch in supply-demand, as domestic agricultural production has failed to keep up with rising demand owing to…

2017-01-30abs ↗pdf ↗

It is now well established empirically that financial price changes are distributed according to a power law, with cubic exponent. This is a fascinating regularity, as it holds for various classes of securities, on various markets, and on various time scales. The universality of this law suggests that there must be som…

2016-12-27abs ↗pdf ↗

Financial price changes obey two universal properties: they follow a power law and they tend to be clustered in time. The second regularity, known as volatility clustering, entails some predictability in the price changes: while their sign is uncorrelated in time, their amplitude (or volatility) is long-range correlate…

2016-12-29abs ↗pdf ↗

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using a large collection of data from three different stock markets, we present evide…

2009-12-30abs ↗pdf ↗

A tick size is the smallest increment of a security price. It is clear that at the shortest time scale on which individual orders are placed the tick size has a major role which affects where limit orders can be placed, the bid-ask spread, etc. This is the realm of market microstructure and there is a vast literature o…

2010-09-13abs ↗pdf ↗

Develops price dynamics equations with symmetric supply/demand functions, affecting tail behavior of price distributions.

problem Understanding the tail behavior of price distributions based on supply and demand functions.
method Created price dynamics equations using a symmetric function of demand/supply, analyzing linear and nonlinear cases.
result The exponent of the tail behavior of price distributions depends on the function of supply and demand, with exponents approaching -1 for large exponents in the function.

We present a dynamical model for the price evolution of financial assets. The model is based in a two level structure. In the first stage one finds an agent-based model that describes the present state of the investors' beliefs, perspectives or strategies. The dynamics is inspired by a model for describing predator-pre…

2008-10-27abs ↗pdf ↗

This paper studies how relative performance concerns affect stock prices in a tree-like market model.

problem The impact of relative performance concerns on stock prices in a tree-like market model.
method Mean-field equilibrium analysis in a binomial tree framework with exponential utility.
result Existence and uniqueness of market-clearing mean-field equilibrium in both single- and multi-population settings.

Kramkov and Sirbu (2006, 2007) have shown that first-order approximations of power utility-based prices and hedging strategies can be computed by solving a mean-variance hedging problem under a specific equivalent martingale measure and relative to a suitable numeraire. In order to avoid the introduction of an addition…

2009-12-17abs ↗pdf ↗

SLERP interpolation optimizes dynamic weight rebalancing in AMMs.

problem Optimizing dynamic weight rebalancing in automated market makers (AMMs).
method Riemannian geometry and SLERP interpolation.
result SLERP interpolation minimizes the KL divergence loss in dynamic weight rebalancing.

We develop an empirical behavioural order-driven (EBOD) model, which consists of an order placement process and an order cancellation process. Price limit rules are introduced in the definition of relative price. The order placement process is determined by several empirical regularities: the long memory in order direc…

2017-04-14abs ↗pdf ↗

In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We conducted quantitative investigation of the {\it calm-time intervals} of price changes for 800 companies listed in the Tokyo Stock Exchange, and for the Nikkei 225 index over a 27-year period from January …

2003-12-21abs ↗pdf ↗

We study the statistical regularities of opening call auction using the ultra-high-frequency data of 22 liquid stocks traded on the Shenzhen Stock Exchange in 2003. The distribution of the relative price, defined as the relative difference between the order price in opening call auction and the closing price of last tr…

2009-05-05abs ↗pdf ↗

We propose that predictability is a prerequisite for profitability on financial markets. We look at ways to measure predictability of price changes using information theoretic approach and employ them on all historical data available for NYSE 100 stocks. This allows us to determine whether frequency of sampling price c…

2013-10-21abs ↗pdf ↗

Study shows climate change can cause a 'run on fossil fuels' affecting prices and production.

problem Impact of climate change expectations on fossil fuel markets and prices.
method Dynamic, general equilibrium model of climate-change-linked transition risk.
result Climate change expectations can lead to either increased or decreased fossil fuel prices, depending on economic responses.

New statistical test for change-point detection using relative entropy.

problem Offline change-point detection using divergence metrics.
method Study of empirical relative entropy distributions, derivation of approximations, introduction of new Berry-Esseen bounds.
result Theoretical and practical validation of relative entropy for change-point detection.

The paper introduces a measure to assess the relative value of a delta-Symmetric Strangle under the Black-Scholes model.

problem Measuring the relative value of a delta-Symmetric Strangle under the Black-Scholes model.
method Developed a new measure of relative value in terms of delta and volatility, bounded by a simple function of delta.
result The relative value of a delta-Symmetric Strangle is bounded by a simple function of delta and is independent of other factors.

We study the price impact of order book events - limit orders, market orders and cancelations - using the NYSE TAQ data for 50 U.S. stocks. We show that, over short time intervals, price changes are mainly driven by the order flow imbalance, defined as the imbalance between supply and demand at the best bid and ask pri…

2010-11-29abs ↗pdf ↗

We propose a general framework to describe the impact of different events in the order book, that generalizes previous work on the impact of market orders. Two different modeling routes can be considered, which are equivalent when only market orders are taken into account. One model posits that each event type has a te…

2011-07-18abs ↗pdf ↗

This paper proposes a novel model of financial prices where: (i) prices are discrete; (ii) prices change in continuous time; (iii) a high proportion of price changes are reversed in a fraction of a second. Our model is analytically tractable and directly formulated in terms of the calendar time and price impact curve. …

2014-10-27abs ↗pdf ↗

Researchers quantify risk exposure and sensitivities in financial markets under model uncertainty.

problem Optimizing investment and pricing under model uncertainty in financial markets.
method Distributionally robust optimization, Wasserstein ball, first-order sensitivity analysis.
result Sensitivities of value function, investment policy, and marginal prices to model uncertainty can be non-monotonic.

Defines an implied CO2-price to cover climate change costs, finding it significantly higher than the SCC.

problem The social cost of carbon (SCC) does not fully cover climate change costs.
method Defines an implied CO2-price as a 'polluter pays principle' and calculates its value using a DICE model.
result The cost-implied CO2 price is around 500/tCO2,comparedto50/tCO2, compared to 50/tCO2 for SCC.

We empirically analyze the price and liquidity responses to trade signs, traded volumes and signed traded volumes. Utilizing the singular value decomposition, we explore the interconnections of price responses and of liquidity responses across the whole market. The statistical characteristics of their singular vectors …

2017-11-21abs ↗pdf ↗

A pricing principle is introduced for non-attainable claims in incomplete markets.

problem Pricing non-attainable contingent claims in incomplete markets.
method Distorted Radon-Nikodym derivative and Tsallis relative entropy over a family of equivalent martingale measures.
result The pricing principle is closely related to backward stochastic differential equations and is arbitrage-free and time-consistent.

In this paper we derive a second order approximation for an infinite dimensional limit order book model, in which the dynamics of the incoming order flow is allowed to depend on the current market price as well as on a volume indicator (e.g.~the volume standing at the top of the book). We study the fluctuations of the …

2017-08-24abs ↗pdf ↗

A new model for heterogeneous populations optimizes consumption and investment over short horizons.

problem Optimizing consumption and investment in economies with a heterogeneous population over short time periods.
method Continuous-time general equilibrium framework with Brownian flow on a type space, solving vanishing-horizon problems under relative-income criteria.
result Existence and characterization of short-horizon Duesenberry equilibrium, with sharp asset-pricing implications.