Pricing and hedging rainbow options using Bayesian MS-VAR process.
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Measures incompleteness of financial markets using asset rank and acceptance set dimension.
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…
No arbitrage holds if a Pareto solution exists for vector-valued utility maximization.
Bayesian MS-VAR process improves option pricing models.
Study shows how order flow at multiple price levels affects stock prices.
This paper improves stock price forecasting using grey correlation analysis and feature-weighted SVR.
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…
This paper examines the problem of pricing spread options under some models with jumps driven by Compound Poisson Processes and stochastic volatilities in the form of Cox-Ingersoll-Ross(CIR) processes. We derive the characteristic function for two market models featuring joint normally distributed jumps, stochastic vol…
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…
Study provides error estimates for approximating game options with diffusion asset prices.
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…
This study improves stock price prediction using multimodal data.
Deep learning models predict option prices from 3D tensor data.
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 …
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 onto a non-random vector. The scaling index models prices of the individual financial asse…
Bayesian MS-VAR model for pricing equity-linked life insurance products.
By the classical Martingale Representation Theorem, replication of random vectors can be achieved via stochastic integrals or solutions of stochastic differential equations. We introduce a new approach to replication of random vectors via adapted differentiable processes generated by a controlled ordinary differential …
New pricing model uses variance-gamma process for financial assets.
Machine learning predicts Bitcoin price with high accuracy.
Paper predicts Airbnb prices using machine learning and customer reviews.
We propose a mathematical procedure for finding informed traders in ultra-high frequency trading. We wrote it as Vector ARMA and found condition of its stationarity. For the price exposure complied with ARMA(1,2) we proved that underlying asset price difference can be derived as ARMA(1,1) process. For validation of the…
Dynamic Black-Litterman integrates expert views with portfolio optimization over varying time horizons.
Model predicts EU carbon prices using market and political factors.
Deep models predict intraday electricity prices accurately.
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…
Extends pricing theory for collateralized derivatives to include jumps and dividends.
Application of fuzzy support vector machine in stock price forecast. Support vector machine is a new type of machine learning method proposed in 1990s. It can deal with classification and regression problems very successfully. Due to the excellent learning performance of support vector machine, the technology has becom…
Develops a Monte Carlo algorithm for tempered stable process extrema.
Defines certainty equivalent and utility indifference pricing for incomplete preferences.
Efficiently calibrates Bergomi models to VIX derivatives using vector quantization.
Study of Hawkes processes in limit order books for price volatility analysis.
Support vector machines predict cryptocurrency price movements with high accuracy.
A fast model estimates future prices from orderbook data.
We offer new formulas for European option pricing under tempered stable processes.
Efficiently price VIX options using multilevel Monte Carlo in rough Bergomi model.
We propose procedures for testing whether stock price processes are martingales based on limit order type betting strategies. We first show that the null hypothesis of martingale property of a stock price process can be tested based on the capital process of a betting strategy. In particular with high frequency Markov …
This paper considers a simulation-based estimator for a general class of Markovian processes and explores some strong consistency properties of the estimator. The estimation problem is defined over a continuum of invariant distributions indexed by a vector of parameters. A key step in the method of proof is to show the…
Study uses deep learning to predict asset prices, finds complex target processes lead to meaningless predictions.
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…
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 …
The paper prices energy spread options using a complex stochastic model.
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…
The participants of the electricity market concern very much the market price evolution. Various technologies have been developed for price forecast. SVM (Support Vector Machine) has shown its good performance in market price forecast. Two approaches for forming the market bidding strategies based on SVM are proposed. …
Study on pricing American Exchange options using Lévy processes.
New models optimize quotes for automated market makers considering various price dynamics and demand variability.
A model of fluctuations in the market price including many deterministic dealers, who predict their buying and selling prices from the latest price change, is developed. We show that price changes of the model is approximated by ARCH(1) process. We conclude that predictions of dealers affected by the past price changes…
We consider a limit order book, where buyers and sellers register to trade a security at specific prices. The largest price buyers on the book are willing to offer is called the market bid price, and the smallest price sellers on the book are willing to accept is called the market ask price. Market ask price is always …