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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.

169,051 papers · 148 categories

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48 results for vector price process

Pricing and hedging rainbow options using Bayesian MS-VAR process.

problem Pricing and hedging rainbow options under varying economic conditions.
method Bayesian Markov-Switching Vector Autoregressive (MS-VAR) process to model regime-switching economic variables.
result Model provides a simpler and more economic variable-dependent approach for rainbow options pricing and hedging.

This paper proposes to model asset price dynamics with a mixture of diffusion processes where the instantaneous volatility of the underlying diffusion process contains a random vector. The marginal probability distributions of the proposed process can match exactly the risk-neutral distributions implied by both spot va…

2016-10-05abs ↗pdf ↗

No arbitrage holds if a Pareto solution exists for vector-valued utility maximization.

problem Existence of no arbitrage in markets with transaction costs and multiple assets.
method Prove no arbitrage condition equivalent to Pareto solution for vector-valued utility maximization.
result A consistent price process can be constructed from the Pareto maximizer.

Study shows how order flow at multiple price levels affects stock prices.

problem Understanding how order flow at different price levels influences stock prices.
method Fit a linear relationship between multi-level order-flow imbalance (MLOFI) and mid-price changes using high-quality data.
result The inclusion of more price levels in MLOFI improves the fit with mid-price changes.

This paper improves stock price forecasting using grey correlation analysis and feature-weighted SVR.

problem Improving accuracy of stock price forecasting.
method Divided factors affecting stock price movement into behavioral and technical. Used grey correlation analysis to measure relationships and transform into characteristic weights. Applied feature-weighted SVR.
result Significantly improved forecast accuracy compared to unmodified data.

We propose a mathematical procedure for finding informed trader activities in European-style options and their underlying asset. The regression model (9) with moving average component was written. Being added to it ARMA-process for log-price differences of underlying asset, the generalized model is written as Vector AR…

2014-03-13abs ↗pdf ↗

The existence of the pricing kernel is shown to imply the existence of an ambient information process that generates market filtration. This information process consists of a signal component concerning the value of the random variable X that can be interpreted as the timing of future cash demand, and an independent no…

2011-03-16abs ↗pdf ↗

Study provides error estimates for approximating game options with diffusion asset prices.

problem Approximating fair prices of game options with diffusion asset prices.
method Error estimates for discrete approximations of diffusion processes, applied to game options.
result Effective tool for computing fair prices of game options in multi-asset markets.

In this paper we analyse financial implications of exchangeability and similar properties of finite dimensional random vectors. We show how these properties are reflected in prices of some basket options in view of the well-known put-call symmetry property and the duality principle in option pricing. A particular atten…

2009-01-30abs ↗pdf ↗

The 2006 sudden and immense downturn in U.S. House Prices sparked the 2007 global financial crisis and revived the interest about forecasting such imminent threats for economic stability. In this paper we propose a novel hybrid forecasting methodology that combines the Ensemble Empirical Mode Decomposition (EEMD) from …

2017-07-16abs ↗pdf ↗

We model the logarithm of the price (log-price) of a financial asset as a random variable obtained by projecting an operator stable random vector with a scaling index matrix E\underline{\underline{E}} onto a non-random vector. The scaling index E\underline{\underline{E}} models prices of the individual financial asse…

2006-12-22abs ↗pdf ↗

Bayesian MS-VAR model for pricing equity-linked life insurance products.

problem Pricing and hedging equity-linked life insurance products on maximum of several assets.
method Introduces Bayesian Markov-Switching Vector Autoregressive (MS-VAR) process to model economic variables and insured's lifetime.
result Obtains net single premiums and hedging formulas for equity-linked life insurance products.

Dynamic Black-Litterman integrates expert views with portfolio optimization over varying time horizons.

problem Incorporating expert views with varying horizons in portfolio optimization.
method Exploiting graphical structure, deriving conditional distribution of asset returns, and using affine factor models.
result Explicit expression for optimal dynamic investment policy and hedging demand analysis.

Deep models predict intraday electricity prices accurately.

problem Accurately forecasting intraday electricity prices.
method Two deep time series probabilistic models using ESNs with stochastic disturbances and copulas.
result Deep distributional models provide accurate short-term probabilistic price forecasts.

The smart grid vision entails advanced information technology and data analytics to enhance the efficiency, sustainability, and economics of the power grid infrastructure. Aligned to this end, modern statistical learning tools are leveraged here for electricity market inference. Day-ahead price forecasting is cast as a…

2013-10-02abs ↗pdf ↗

Extends pricing theory for collateralized derivatives to include jumps and dividends.

problem Pricing collateralized derivatives with jumps and dividends.
method Extends No-Arbitrage theory to semimartingales, deriving pricing, dynamics, and forward prices.
result Derives pricing, dynamics, and forward prices of collateralized derivatives.

Defines certainty equivalent and utility indifference pricing for incomplete preferences.

problem Incomplete preferences represented by multiple priors and utility functions.
method Defines certainty equivalent and utility buy/sell prices as set-valued functions of claims, proves monotonicity and convexity properties, approximates bounds via convex vector optimization.
result Certainty equivalent and indifference price bounds can be computed or approximated by convex vector optimization.

Efficiently calibrates Bergomi models to VIX derivatives using vector quantization.

problem Calibrating Bergomi models to VIX derivatives for accurate pricing.
method Applied vector quantization in mixed Bergomi models for fast and efficient option pricing.
result Calibration of Bergomi models to VIX derivatives is feasible and accurate over daily data.

Support vector machines predict cryptocurrency price movements with high accuracy.

problem Predicting short-term price movements in cryptocurrencies.
method Developed technical indicators, tested various classification methods, including SVM.
result Support vector machines yield the most profitable trading strategies.

We offer new formulas for European option pricing under tempered stable processes.

problem Pricing European options under tempered stable processes.
method Series expansions for tempered stable densities and European option prices.
result Our formulas are hyperparameter-free and competitive with traditional methods.

Efficiently price VIX options using multilevel Monte Carlo in rough Bergomi model.

problem Pricing VIX options in a rough Bergomi model with high computational complexity.
method Combining rectangle discretization, Cholesky sampling, and multilevel Monte Carlo.
result Reduced computational complexity to O(ε2log2(ε))\mathcal{O}(\varepsilon^{-2} \log^2(\varepsilon)) and asymptotically optimal O(ε2)\mathcal{O}(\varepsilon^{-2}).

Study uses deep learning to predict asset prices, finds complex target processes lead to meaningless predictions.

problem Complexity of successful price prediction models hinders understanding.
method Deep learning models for high-frequency price prediction, focusing on volatility and directional prediction.
result Inadequately defined target price process renders predictions meaningless.

Realized statistics based on high frequency returns have become very popular in financial economics. In recent years, different non-parametric estimators of the variation of a log-price process have appeared. These were developed by many authors and were motivated by the existence of complete records of price data. Amo…

2014-11-19abs ↗pdf ↗

In this paper we introduce two new Hawkes processes, namely, compound and regime-switching compound Hawkes processes, to model the price processes in limit order books. We prove Law of Large Numbers and Functional Central Limit Theorems (FCLT) for both processes. The two FCLTs are applied to limit order books where we …

2017-12-07abs ↗pdf ↗

The paper prices energy spread options using a complex stochastic model.

problem Pricing energy spread options with specific stochastic dynamics.
method Uses an exponential Ornstein-Uhlenbeck process driven by variance gamma processes, applying the Esscher transform and FFT method.
result Derives an analytical formula for pricing forwards and spread options.

In this paper, we study various new Hawkes processes, namely, so-called general compound and regime-switching general compound Hawkes processes to model the price processes in the limit order books. We prove Law of Large Numbers (LLN) and Functional Central Limit Theorems (FCLT) for these processes. The latter two FCLT…

2017-06-22abs ↗pdf ↗

Study on pricing American Exchange options using Lévy processes.

problem Pricing American Exchange options driven by Lévy processes.
method Represented American Exchange options as European options plus early exercise premium; studied properties of free boundary and provided an approximative formula.
result Developed an approximative formula for American Exchange options.

New models optimize quotes for automated market makers considering various price dynamics and demand variability.

problem Optimizing quotes for automated market makers in volatile price environments.
method Advanced models incorporating stochastic volatility, jumps, Hawkes processes, and Markov-modulated Poisson processes.
result Optimal quotes can be computed using numerical methods tailored to each model.