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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.

168,742 papers · 148 categories

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295886115 · May 202619922001200920172026
48 results for market-capitalization rank

We consider the problem of robustly maximizing the growth rate of investor wealth in the presence of model uncertainty. Possible models are all those under which the assets' region EE and instantaneous covariation cc are known, and where additionally the assets are stable in that their occupancy time measures converg…

2018-01-19abs ↗pdf ↗

Cryptocurrencies are ranked for efficiency using a new Complexity-Entropy Plane.

problem Evaluating the efficiency of cryptocurrencies using traditional financial metrics.
method Developed a Binary Complexity-Entropy Plane (BiCEP) to analyze daily price fluctuations of major cryptocurrencies.
result Only Shiba Inu (SHIB) is significantly inefficient, while most cryptocurrencies operate in close-to-efficient conditions.
Open Marketsq-fin.MF

Open markets are a subset of equity markets with fixed top stocks, changing over time.

problem Understanding the dynamics and characteristics of open markets.
method Analyzing the similarities and differences between open markets and closed equity markets, and exploring specific topics like CAPM and portfolio construction.
result The equivalence of market viability and the existence of a numeraire portfolio holds in open markets, similar to closed markets.

Study reveals that cryptocurrency price variations follow power-law distributions, influenced by age and market capitalization.

problem Understanding the statistical properties of cryptocurrencies, especially their price variations.
method Comprehensive investigation of over 7000 digital currencies, analyzing their price returns over time.
result Cryptocurrency price returns follow power-law distributions, with age and market capitalization influencing these distributions.

Study shows how market firm capitalization models converge to stochastic PDE solutions.

problem Understanding convergence of rank-based models with common noise to stochastic PDE solutions.
method Analysis of mean field limit, martingale problem, and pathwise entropy solutions.
result Empirical cumulative distribution function converges to solution of a stochastic PDE under certain conditions.

The paper analyzes equity market dynamics and optimal portfolios using time-varying optimization.

problem Analyzing the time-varying structure of equity markets, particularly market capitalization inequality and concentration.
method The study employs mathematical functionals of time-varying portfolios and a Sharpe optimization procedure.
result Optimal portfolios exhibit varying market capitalization exposure over time.

Membership in the Russell 1000 and 2000 Indices is based on a ranking of market capitalization in May. Each index is separately value weighted such that firms just inside the Russell 2000 are comparable in size to firms just outside (i.e. at the bottom of the Russell 1000) but have much higher index weights. These feat…

2015-09-01abs ↗pdf ↗

Study analyzes price change patterns across different market capitalizations using Markov chains.

problem Understanding price dynamics in limit order markets across various market capitalizations.
method Discrete-time Markov chain analysis of intraday price changes in NASDAQ100 tick data.
result Systematic patterns in price inertia and stability across market capitalizations are identified.

There is convincing evidence showing that the probability distributions of stock returns in mature markets exhibit power-law tails and both the positive and negative tails conform to the inverse cubic law. It supports the possibility that the tail exponents are universal at least for mature markets in the sense that th…

2010-03-31abs ↗pdf ↗

Study shows survivorship bias inflates returns in India's small-cap index.

problem Survivorship bias in emerging market small-cap indices.
method Reconstructing historical index composition through market capitalization ranking and comparing equal-weight portfolios of current constituents versus all historical members.
result Survivor-only backtesting overstates returns by 4.94 percentage points and Sharpe ratios by 0.097.

Derives a new formula for measuring risk aversion in markets.

problem Measuring the degree of risk aversion in markets accurately.
method Closed-form expression based on three variables: Treasury yields, returns, and market capitalization.
result Investors exhibit Decreasing Absolute Risk Aversion (DARA) but the degree of Relative Risk Aversion (RRA) varies.

Study uses VC correlation to uncover directional financial relationships.

problem Understanding causal relationships between financial variables.
method Volatility constrained correlation (VC correlation) method.
result Operating income is most influential, while market capitalization and revenue are most susceptible.

We introduce polynomial processes in the sense of [8] in the context of stochastic portfolio theory to model simultaneously companies' market capitalizations and the corresponding market weights. These models substantially extend volatility stabilized market models considered by Robert Fernholz and Ioannis Karatzas in …

2017-05-10abs ↗pdf ↗

Study shows long-term debt impacts financial growth of non-financial firms listed at Nairobi Securities Exchange.

problem Declining financial performance and reluctance to lend to non-financial firms listed at Nairobi Securities Exchange.
method Descriptive and panel data analysis of 45 non-financial firms over 10 years.
result Long-term debt positively and significantly influences financial growth measured by earnings per share and market capitalization.

Study assesses short-term debt's impact on non-financial firms' financial growth.

problem Declining financial performance and reluctance to lend to non-financial firms listed at Nairobi Securities Exchange.
method Explanatory research design, descriptive statistics, and panel data analysis.
result Short-term debt positively and significantly influences financial growth.

This paper investigates the scaling dependencies between measures of "activity" and of "size" for companies included in the FTSE 100. The "size" of companies is measured by the total market capitalization. The "activity" is measured with several quantities related to trades (transaction value per trade, transaction val…

2004-07-29abs ↗pdf ↗

Study finds billing codes at IPO boost digital health companies' financial performance.

problem Identifying factors that drive long-term financial success in digital health companies.
method Analyzed 33 digital health IPOs from 2010-2021, comparing companies with and without billing codes.
result Companies with billing codes at IPO were significantly more likely to achieve positive CAGR and higher market capitalization.

The cryptocurrency market surpassed the barrier of \$100 billion market capitalization in June 2017, after months of steady growth. Despite its increasing relevance in the financial world, however, a comprehensive analysis of the whole system is still lacking, as most studies have focused exclusively on the behaviour o…

2017-05-15abs ↗pdf ↗

This study assesses how share capital affects financial growth of non-financial firms listed at NSE.

problem Non-financial firms listed at NSE struggle with financial growth due to declining performance and lack of investor interest.
method Descriptive and panel data analysis of 45 non-financial firms over 10 years.
result Share capital positively and significantly influences financial growth, explaining 32.73% and 11.62% of variations in earnings per share and market capitalization growth, respectively.

Gradient boosting detects insider purchases predicting abnormal returns in microcap stocks.

problem Predicting abnormal returns in U.S. microcap stocks using insider purchase signals.
method Gradient boosting classifier trained on insider identity, transaction history, and market conditions.
result Gradient boosting classifier achieves AUC of 0.70 on out-of-sample data, with precision and recall of 0.38 and 0.69 respectively.

Cryptocurrency patterns stable across market caps, validated by microstructure theory.

problem Stable patterns in cryptocurrency microstructure across different market caps.
method Unified CatBoost modeling pipeline with time-series cross validation, validated by backtests.
result Feature rankings and partial effects are stable across assets despite heterogeneous liquidity and volatility.

The goal of this paper is to explore the relationship between momentum effects and liquidity in cryptocurrency markets. Portfolios based on momentum-liquidity bivariate sorts are formed and rebalanced on a varying number of cryptocurrencies through time. We find a strong momentum effect in the most liquid cryptocurrenc…

2019-04-01abs ↗pdf ↗

We empirically show the superiority of the equally weighted S\&P 500 portfolio over Sharpe's market capitalization weighted S\&P 500 portfolio. We proceed to consider the MaxMedian rule, a non-proprietary rule designed for the investor who wishes to do his/her own investing on a laptop with the purchase of only 20 stoc…

2016-02-02abs ↗pdf ↗

Over the past half-century, the empirical finance community has produced vast literature on the advantages of the equally weighted S\&P 500 portfolio as well as the often overlooked disadvantages of the market capitalization weighted Standard and Poor's (S\&P 500) portfolio (see \cite{Bloom}, \cite{Uppal}, \cite{Jacobs…

2016-03-19abs ↗pdf ↗

We introduce a pathwise approach to analyze the relative performance of an equity portfolio with respect to a benchmark market portfolio. In this energy-entropy framework, the relative performance is decomposed into three components: a volatility term, a relative entropy term measuring the distance between the portfoli…

2013-08-25abs ↗pdf ↗

We provide evidence that cumulative distributions of absolute normalized returns for the 100100 American companies with the highest market capitalization, uncover a critical behavior for different time scales ΔtΔt. Such cumulative distributions, in accordance with a variety of complex --and financial-- systems, can be m…

2017-02-20abs ↗pdf ↗

Unified framework combines views and optimization for better portfolio management.

problem Optimizing portfolio weights with dynamic adjustment based on volatility.
method Dynamic sliding window adjusting horizon, factor estimates, BL posterior returns, and weights over time.
result Outperforms dynamic mean-variance optimization without BL views, providing stronger downside risk control.

Study reveals the 2020 U.S. stock crash was endogenous, not caused by COVID.

problem Understanding the cause of the 2020 U.S. stock market crash.
method Applied log-periodic power law singularity (LPPLS) methodology to analyze four major U.S. stock market indexes.
result The 2020 U.S. stock market crash was endogenous, stemming from systemic instability, not COVID.

Optimization methods are used to determine equilibria of investment in cryptocurrencies. The basic assumptions involve existence of a core group (the "wealthy") that fears the loss of substantial assets through government seizure. Speculators constitute another group that tends to introduce volatility and risk for the …

2018-05-25abs ↗pdf ↗

Useful alpha returns vanished in modern stock markets.

problem The inefficiency of modern stock markets in generating useful alpha.
method Analysis of 200 published long-short anomaly equity portfolios over different time periods and stock selection criteria.
result Even modest allowances for luck or transaction costs eliminated published academic anomalies.

We introduce a new system of stochastic differential equations which models dependence of market beta and unsystematic risk upon size, measured by market capitalization. We fit our model using size deciles data from Kenneth French's data library. This model is somewhat similar to generalized volatility-stabilized model…

2019-07-21abs ↗pdf ↗

Using available data from the New York stock market (NYSM) we test four different bi-parametric models to fit the correspondent volume-price distributions at each 1010-minute lag: the Gamma distribution, the inverse Gamma distribution, the Weibull distribution and the log-normal distribution. The volume-price data, whi…

2014-04-07abs ↗pdf ↗

Consider an equity market with nn stocks. The vector of proportions of the total market capitalizations that belong to each stock is called the market weight. The market weight defines the market portfolio which is a buy-and-hold portfolio representing the performance of the entire stock market. Consider a function th…

2014-02-15abs ↗pdf ↗

Estimates crypto risk premia using hidden factors and finds significant integration with traditional markets.

problem Estimating risk premia in cryptocurrency returns.
method Giglio-Xiu (2021) three-pass approach, controlling for latent factors and non-tradable state variables.
result Latent factors significantly impact crypto returns, highlighting the importance of controlling for unobserved risks.

This paper proposes new GARCH models for cryptocurrency volatility, showing skewed distributions improve prediction accuracy.

problem Predicting cryptocurrency volatility and improving upon normality assumptions.
method Non-Gaussian GARCH models with Skewed Generalized Error Distribution.
result Skewed distributions enhance forecasting accuracy for cryptocurrency exchange rates.