Study optimal portfolio selection in a complex market with jumps and regime shifts.
problem Optimal portfolio selection in a market with jumps and regime shifts.
method Modeling a market with Lévy processes and regime switching, using various securities to complete the market, solving the portfolio selection problem for power and logarithmic utilities.
result Conditions for asymptotic-arbitrage-free market and solutions for optimal portfolio selection.
Modeling maximum drawdown records in capital markets using PDMP.
problem Capturing the statistical properties of maximum drawdown records in financial markets.
method Piecewise Deterministic Markov Process (PDMP) for modeling, statistical analysis of mean and variance, simulation study, parameter estimation techniques.
result Derivation of statistical results including mean and variance of maximum drawdown records.
The paper analyzes trade execution strategies for large traders in a stochastic market environment.
problem Analyzing trade execution strategies in a stochastic market with price impact.
method Formulated a Markov game model and used backward induction method of dynamic programming.
result Explicit closed-form execution strategy at Markov perfect equilibrium.
Paper revisits Kalman filter, connects it to HMM, and applies it to financial markets.
problem Understanding and applying Kalman filter in financial markets.
method Intuition, graphical models, Hidden Markov Models, CMA-ES optimization.
result New algorithms and parameter estimation methods for Kalman filters.
Market maker optimizes quotes under hidden Markov chain uncertainty.
problem Optimizing quotes in a market with unknown hidden factors.
method Stochastic control, filtering, and dynamic programming.
result Optimal spreads are biased under partial information.
The paper analyzes optimal market making in latency-prone markets.
problem Optimal market making for large-tick assets in the presence of latency.
method Random walk model for asset price, Markov Decision Processes (MDP) formulation, explicit criteria for profitability.
result Market makers can earn positive expected profit under certain conditions.
Study analyzes order transitions in high, medium, and low market cap stocks using Markov chains.
problem Understanding order transitions in stocks of different market caps.
method First-order discrete-time Markov chain model applied to NASDAQ100 stocks.
result Limit orders exhibit higher inertia during opening hours but decrease in subsequent hours, while market orders increase.
Modeling stock market behavior using Markov chains and algorithms.
problem Understanding the stochastic nature of financial markets and their underlying patterns.
method Constructing a model using Markov chains and developing an algorithm for any alphabet and length.
result The model outperforms a random walk, demonstrating better market prediction.
Study uses ML to reconstruct stock market sentiment from trading data.
problem Reconstructing underlying sentiment states from stock price behavior.
method Applied Hidden Markov Models and Recurrent Neural Networks.
result Recovered sentiment states from observed stock price behavior.
Study approximates financial market with discrete-time models.
problem Approximating continuous-time financial market models with discrete-time.
method Constructs discrete-time market models with Markov switching and proves convergence.
result Discrete-time models converge to continuous-time Black-Scholes model with Markov switching.
Paper finds linear laws in Bitcoin price changes, aiding anomaly detection.
problem Detecting anomalies in Bitcoin price changes.
method Time embedding of autocorrelation function, binary series generation, stepped time windows.
result Linear laws became more complex before major market events, suggesting price manipulation.
Optimizes control of hybrid systems with multiple switching processes.
problem Optimal control of hybrid systems with multiple Markov switching processes.
method Combines two separate Markov chains into one synthetic chain, derives HJB equations, and solves the portfolio choice problem.
result Derives explicit solutions and value functions for the optimal control problem.
Market makers optimize bid/ask quotes under hidden Markov chain uncertainty.
problem Optimizing market quotes with hidden factors affecting order intensities.
method Solves stochastic control problem using filtering, control, and PDMPs theory.
result Value function is unique viscosity solution of dynamic programming equation.
Hierarchical hidden Markov models predict market trends in financial time series.
problem Misinterpretation of short-term price fluctuations as long-term trend changes.
method Hierarchical hidden Markov models to capture both short- and long-term trends.
result Hierarchical models provide a comprehensive picture of financial markets.
Course on market microstructure models for students.
problem Market microstructure under asymmetric information.
method Introduction to Kyle model and related filtering, enlargement of filtrations, Markov bridges.
result Introduction and brief overview of advanced financial models.
Develops a new model to track financial market interconnectedness over time.
problem Investigating time-varying financial market interconnectedness.
method Hidden Markov graphical model with state-dependent generalized hyperbolic distributions.
result Identifies different degrees of network connectivity of returns over time.
In this paper, we model financial markets with semi-Markov volatilities and price covarinace and correlation swaps for this markets. Numerical evaluations of vari- nace, volatility, covarinace and correlations swaps with semi-Markov volatility are presented as well. The novelty of the paper lies in pricing of volatilit…
A HMM for intraday momentum trading reduces lagging and incorporates side information.
problem Time-lagging in existing momentum trading models leads to incorrect momentum signals.
method State space formulation with latent momentum states, cross-validation for state estimation, and Bayesian inference for prediction.
result The model reduces lagging and accurately predicts market changes.
The study uses Markov chains to forecast cryptocurrency market dynamics.
problem Forecasting and understanding market fluctuations in cryptocurrencies.
method Markov chains of orders one to eight were used to forecast intra-day returns of three major cryptocurrencies.
result Predictions from empirical probabilities outperform random choices.
In this paper, we establish a robustification of an on-line algorithm for modelling asset prices within a hidden Markov model (HMM). In this HMM framework, parameters of the model are guided by a Markov chain in discrete time, parameters of the asset returns are therefore able to switch between different regimes. The p…
In this paper we describe three stochastic models based on a semi-Markov chains approach and its generalizations to study the high frequency price dynamics of traded stocks. The three models are: a simple semi-Markov chain model, an indexed semi-Markov chain model and a weighted indexed semi-Markov chain model. We show…
The paper studies how to protect hedge funds from losses using reinsurance.
problem Identifying and protecting downside risk in hedge fund investments.
method Two approaches: Analytic closed-form solution and numerical simulation.
result The additional reinsurance contract provides full portfolio protection beyond a certain threshold.
Optimizes portfolios using anticipated interest rate information.
problem Maximizing utility in financial models with future interest rate trends.
method Enlargement of filtrations, affine diffusion process, Markov chain modeling.
result Explicit formulas for expected logarithmic utility.
The paper uses HMM and LSTM for stock market trend analysis.
problem Predicting stock market trends using machine learning.
method Apply Hidden Markov Model and Long Short Term Memory to stock market data.
result The combination of GMM-HMM+LSTM and XGB-HMM+LSTM outperformed other models.
New framework for pricing derivatives in Hermite markets with reduced arbitrage opportunities.
problem Reducing arbitrage opportunities in Hermite markets.
method Introducing a strategy-specific arbitrage tax on hedging portfolio volume acceleration.
result Transformed Hermite markets with arbitrage opportunities into markets without arbitrage opportunities.
This project attempts to address the problem of asset pricing in a financial market, where the interest rates and volatilities exhibit regime switching. This is an extension of the Black-Scholes model. Studies of Markov-modulated regime switching models have been well-documented. This project extends that notion to a c…
A new system improves smart beta portfolio performance by reducing drawdowns and enhancing risk-adjusted returns.
problem Cyclicality and short-term drawdowns in smart beta strategies.
method Dynamic asset allocation using Feature Saliency Hidden Markov Models (FSHMM).
result FSHMM improves risk-adjusted returns by up to 60% annually compared to full feature HMMs.
Researchers adaptively analyze market regimes to reveal investor behavior shifts.
problem Market relationships shift across different regimes, affecting investor behavior.
method Combining Kalman filtering, Markov-switching, and asymmetric response estimation.
result Foreign investors' predictive power increases during crises, while individual investors react more strongly to positive shocks.
The paper investigates herding behavior in cryptocurrency markets.
problem Cryptocurrency prices are influenced by herding behavior.
method The study uses the Markov-Switching approach to test herding behavior under asymmetric and symmetric conditions.
result Cryptocurrency prices are driven by herding behavior.
We introduce LAMP: the Linear Additive Markov Process. Transitions in LAMP may be influenced by states visited in the distant history of the process, but unlike higher-order Markov processes, LAMP retains an efficient parametrization. LAMP also allows the specific dependence on history to be learned efficiently from da…
Efficient variance reduction for Markov chains using martingale representations.
problem Reducing variance in estimating additive functionals of Markov chains.
method A novel discrete time martingale representation approach for variance reduction.
result The proposed method achieves a lower cost-to-variance product than the naive approach.
Derives conditions for no arbitrage in financial markets with stochastic or diffusion models.
problem Existence and absence of arbitrage in financial markets with stochastic or diffusion models.
method Integral tests, martingale and strict local martingale properties of stochastic exponentials, Markov switching models.
result Conditions for the existence of minimal martingale measure and its preservation under Markov switching.
Model detects market anomalies using a Hawkes process with hidden Markov chain.
problem Detecting high-frequency market manipulation in cryptocurrency trades.
method Developed a Markov-modulated Hawkes process with piecewise constant excitation kernels.
result Demonstrated the model's effectiveness in detecting suspicious trading activities.
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.
A new asset allocation model uses Markov states from clustered efficient frontier coefficients.
problem Characterizing market regimes using efficient frontiers for better asset allocation.
method Hierarchical clustering of monthly efficient frontier coefficients to define states, then a Markov process on these states for portfolio optimization.
result The model significantly outperforms benchmark portfolios empirically.
We present for the first time an asymptotic convergence analysis of two time-scale stochastic approximation driven by `controlled' Markov noise. In particular, both the faster and slower recursions have non-additive controlled Markov noise components in addition to martingale difference noise. We analyze the asymptotic…
This paper studies pricing derivatives in an age-dependent semi-Markov modulated market. We consider a financial market where the asset price dynamics follow a regime switching geometric Brownian motion model in which the coefficients depend on finitely many age-dependent semi-Markov processes. We further allow the vol…
We study the effect of investor inertia on stock price fluctuations with a market microstructure model comprising many small investors who are inactive most of the time. It turns out that semi-Markov processes are tailor made for modelling inert investors. With a suitable scaling, we show that when the price is driven …
Extends micro-price concept to RFQ markets for fair pricing.
problem Valuing securities in illiquid RFQ markets.
method Bidimensional Markov-modulated Poisson processes for liquidity.
result Introduces Fair Transfer Price for fair securities valuation.
The study uses State Switching Markov Autoregressive models to identify and predict market regimes.
problem Adapting to abrupt changes in financial markets and identifying stable investment strategies.
method State Switching Markov Autoregressive models and Wyckoff Price Regimes.
result A dynamically adaptive trading system that outperforms traditional alphas.
Risk-averse trading policies learned from simulated market interactions.
problem Minimizing execution cost in limit order book markets with market impact.
method Risk-sensitive Q-learning applied to Markov Decision Process in a market simulator.
result Derived decision-tree-based execution policies that minimize cost variance.
Dynamics of the major USA market indices DJIA, S&P, Nasdaq, and NYSE is analyzed from the point of view of the random walking problem with two-step correlations of the market moves. The parameters characterizing the stochastic dynamics are determined empirically from the historical quotes for the daily, weekly, and mon…
Develops a model for analyzing cryptocurrency returns focusing on extreme values.
problem Analyzing extreme returns in cryptocurrency time series.
method Linear expectile hidden Markov model with time-dependent coefficients.
result The method effectively captures the temporal evolution of extreme returns.
Enhances stock market prediction using multi-sourced data.
problem Improving stock market prediction by considering multiple data sources.
method Extended Coupled Hidden Markov Model incorporating historical trading data and news events, with correlations between stocks incorporated.
result Superior performance on China A-share market data in 2016 compared to previous methods.
This paper uses deep reinforcement learning to generate profitable trading signals in financial markets.
problem Generating consistent profitable trading signals in any financial market.
method Developed a novel Markov decision process (MDP) model to capture financial market dynamics and used deep reinforcement learning to learn profitable trading strategies.
result The model generates positively robust performance in two different financial markets.
Mathematical methods of population genetics and framework of exchangeability provide a Markov chain model for analysis and interpretation of stochastic behaviour of equity markets, explaining, in particular, market shape formation, statistical equilibrium and temporal stability of market weights.
This paper develops statistical models for cryptocurrency returns using hidden Markov regression and copulas.
problem Capturing the interrelationships and serial heterogeneity of cryptocurrency returns.
method Hidden Markov regression models with regime-switching copulas for quantiles and expectiles.
result Captures extreme returns and their temporal evolution through a latent Markov chain.
Large trades in a financial market are usually split into smaller parts and traded incrementally over extended periods of time. We address these large trades as hidden orders. In order to identify and characterize hidden orders we fit hidden Markov models to the time series of the sign of the tick by tick inventory var…