Principles of financial product synthesis from a few basic financial products constitute an interesting research topic inspired by Islamic finance. We make an effort to answer general questions that should be answered before starting to investigate the main issues concerning this topic with the formalization of financi…
arXiv research
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New automated market makers for multi-asset trading.
Proposes a Carbon Equivalence Principle for financial products to align incentives and drive sustainability.
This paper argues that the fundamental principle of contemporary financial economics is balanced reciprocity, not the principle of utility maximisation that is important in economics more generally. The argument is developed by analysing the mathematical Fundamental Theory of Asset Pricing with reference to the emergen…
The paper calculates prices for multi-step barrier options under the Black-Scholes model.
ProbFM provides principled uncertainty quantification for financial forecasting.
Study the averaging principle for non-autonomous slow-fast systems and apply it to financial local stochastic volatility models.
Proposes CEP to better represent financial products' carbon impact.
Paper introduces new actuarial-consistent valuations for insurance liabilities.
An arbitrage strategy allows a financial agent to make certain profit out of nothing, i.e., out of zero initial investment. This has to be disallowed on economic basis if the market is in equilibrium state, as opportunities for riskless profit would result in an instantaneous movement of prices of certain financial ins…
A new method to break down insurance costs into risk and uncertainty.
It is shown that absence of arbitrage opportunity in financial markets is a particular case of existence of uncertainty in decision system. Absence of arbitrage opportunity is considered in the sense of the Arrow-Debreu model of financial market with a riskless asset, while uncertainty (or ambiguity) is defined on the …
Paper explores two methods for optimal portfolio selection in financial markets.
This study uses NLP to detect financial risks from documents.
Paper uses agent-based simulation to identify investor types in financial markets.
Study finds CNNs perform better with financial ratio data than fundamental data.
Extends option pricing model to incorporate market factor dynamics.
In this paper, we develop a new mathematical technique which allows us to express the joint distribution of a Markov process and its running maximum (or minimum) through the marginal distribution of the process itself. This technique is an extension of the classical reflection principle for Brownian motion, and it is o…
The paper models financial markets using information theory to minimize information.
In this paper we focus on the beneficial role of random strategies in social sciences by means of simple mathematical and computational models. We briefly review recent results obtained by two of us in previous contributions for the case of the Peter principle and the efficiency of a Parliament. Then, we develop a new …
Financial markets modeled like brain networks using dMNC.
Model uses statistical physics principles to predict financial market volatility and returns.
Financial potential is an important part of enterprise activities. The technique of the enterprise's financial potential assessment is offered in the paper. It is presented by particular stages, where each stage is related to a certain task. The characteristics of the company's financial potential, based on the analysi…
Method generates plausible financial stress scenarios using large deviations.
In this paper we state the fundamental principles of the gauge approach to financial economics and demonstrate the ways of its application. In particular, modelling of realistic price processes is considered for an example of S&P500 market index. Derivative pricing and portfolio theory are also briefly discussed.
The potential approach is a general and simple method for modelling interest rates, foreign exchange rates, and in principle other types of financial assets. This paper takes data on some liquid interest rate derivatives, and fits potential models using a small finite-state Markov chain as the base Markov process.
The main result of the paper is a version of the fundamental theorem of asset pricing (FTAP) for large financial markets based on an asymptotic concept of no market free lunch for monotone concave preferences. The proof uses methods from the theory of Orlicz spaces. Moreover, various notions of no asymptotic arbitrage …
The present paper analyses the formal parallelism existing between the laws of thermodynamics and some economic principles. Based on previous works, we shall show how the existence in Economics of principles analogous to those in thermodynamics involves the occurrence of economic events that remind of well-known phenom…
New deep learning method improves financial stress testing accuracy.
We apply stochastic Perron's method to a singular control problem where an individual targets at a given consumption rate, invests in a risky financial market in which trading is subject to proportional transaction costs, and seeks to minimize her probability of lifetime ruin. Without relying on the dynamic programming…
Despite the fact that the Euler allocation principle has been adopted by many financial institutions for their internal capital allocation process, a comprehensive description of Euler allocation seems still to be missing. We try to fill this gap by presenting the theoretical background as well as practical aspects. In…
We introduce a simple model for addressing the controversy in the study of financial systems, sometimes taken as brownian-like processes and other as critical systems with fluctuations of arbitrary magnitude. The model considers a collection of economical agents which establish trade connections among them according to…
Central banks play a key role in promoting sustainable finance.
Managing investment portfolios is an old and well know problem in multiple fields including financial mathematics and financial engineering as well as econometrics and econophysics. Multiple different concepts and theories were used so far to describe methods of handling with financial assets, including differential eq…
Tackling climate change is at the top of many agendas. In this context, emission trading schemes are considered as promising tools. The regulatory framework for an emission trading scheme introduces a market for emission allowances and creates a need for risk management by appropriate financial contracts. In this work,…
The global financial crisis in 2007-2009 demonstrated that systemic risk can spread all over the world through a complex web of financial linkages, yet we still lack fundamental knowledge about the evolution of the financial web. In particular, interbank credit networks shape the core of the financial system, in which …
FinAgent tackles financial trading with multimodal data and advanced AI.
Paper develops MMOT framework for financial applications with neural acceleration.
Model financial default cascades on sparse graphs via hitting times.
Trading-R1 uses LLMs for financial trading, improving risk-adjusted returns.
Alternative wavelet analysis method for financial signals.
CSHT predicts financial returns from news using a novel transformer model on a sphere.
Using particle system methodologies we study the propagation of financial distress in a network of firms facing credit risk. We investigate the phenomenon of a credit crisis and quantify the losses that a bank may suffer in a large credit portfolio. Applying a large deviation principle we compute the limiting distribut…
GAICF proposes a framework for governing generative AI in banking.
GAICF proposes a framework for managing generative AI risks in banking.
This paper benchmarks FinGPT for financial datasets using open-source large language models.
Bayesian and simulation methods predict credit default probabilities.
Study on financial systems using perturbed unimodal maps with heteroscedastic noise.