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The aim of this work is to investigate the qualitative behaviour of a financial dynamical system which contains a time delay. We investigate the dynamic response of this system of which variables are interest rate, investment demand, price…

Dynamical Systems · Mathematics 2021-02-23 Y. Çalış , A. Demirci , C. Özemir

This paper deals with applications of coherent risk measures to pricing in incomplete markets. Namely, we study the No Good Deals pricing technique based on coherent risk. Two forms of this technique are presented: one defines a good deal…

Probability · Mathematics 2008-12-02 Alexander S. Cherny

Model risk measures consequences of choosing a model in a class of possible alternatives. We find analytical and simulated bounds for payoff functions on classes of plausible alternatives of a given discrete model. We measure the impact of…

Mathematical Finance · Quantitative Finance 2023-02-20 Roberto Fontana , Patrizia Semeraro

In this paper we study the pricing and hedging of structured products in energy markets, such as swing and virtual gas storage, using the exponential utility indifference pricing approach in a general incomplete multivariate market model…

Mathematical Finance · Quantitative Finance 2016-02-23 Giorgia Callegaro , Luciano Campi , Valeria Giusto , Tiziano Vargiolu

We explore the role that random arbitrage opportunities play in hedging financial derivatives. We extend the asymptotic pricing theory presented by Fedotov and Panayides [Stochastic arbitrage return and its implication for option pricing,…

Other Condensed Matter · Physics 2009-11-11 Stephanos Panayides

We consider the optimal investment problem when the traded asset may default, causing a jump in its price. For an investor with constant absolute risk aversion, we compute indifference prices for defaultable bonds, as well as a price for…

Mathematical Finance · Quantitative Finance 2017-03-02 Tetsuya Ishikawa , Scott Robertson

In this paper, we propose a method that provides a useful technique to compare relationship between risks involved that takes customer become defaulter and debt collection process that might make this defaulter recovered. Through estimation…

Applications · Statistics 2014-08-20 Mauro R. Oliveira , Francisco Louzada

Conic martingales refer to Brownian martingales evolving between bounds. Among other potential applications, they have been suggested for the sake of modeling conditional survival probabilities under partial information, as usual in…

Mathematical Finance · Quantitative Finance 2019-09-06 Cheikh Mbaye , Frédéric Vrins

Trading activities in financial systems create various channels through which systemic risk can propagate. An important contagion channel is financial fire sales, where a bank failure causes asset prices to fall due to asset liquidation,…

Physics and Society · Physics 2022-07-08 Tomokatsu Onaga , Fabio Caccioli , Teruyoshi Kobayashi

In this paper we present a Bayesian competing risk proportional hazards model to describe mortgage defaults and prepayments. We develop Bayesian inference for the model using Markov chain Monte Carlo methods. Implementation of the model is…

Applications · Statistics 2017-06-26 Arnab Bhattacharya , Simon P. Wilson , Refik Soyer

This paper develops a comprehensive theoretical framework that imports concepts from stochastic thermodynamics to model price impact and characterize the feasibility of round-trip arbitrage in financial markets. A trading cycle is treated…

Mathematical Finance · Quantitative Finance 2025-12-04 Amit Kumar Jha

There is vast empirical evidence that given a set of assumptions on the real-world dynamics of an asset, the European options on this asset are not efficiently priced in options markets, giving rise to arbitrage opportunities. We study…

Pricing of Securities · Quantitative Finance 2011-10-03 Rudra P. Jena , Peter Tankov

We prove that the default times (or any of their minima) in the dynamic Gaussian copula model of Cr{\'e}pey, Jeanblanc, and Wu (2013) are invariance times in the sense of Cr{\'e}pey and Song (2017), with related invariance probability…

Computational Finance · Quantitative Finance 2017-02-13 Stéphane Crépey , Shiqi Song

We develop a robust framework for pricing and hedging of derivative securities in discrete-time financial markets. We consider markets with both dynamically and statically traded assets and make minimal measurability assumptions. We obtain…

Mathematical Finance · Quantitative Finance 2018-02-08 Matteo Burzoni , Marco Frittelli , Zhaoxu Hou , Marco Maggis , Jan Obłój

Sustaining efficiency and stability by properly controlling the equity to asset ratio is one of the most important and difficult challenges in bank management. Due to unexpected and abrupt decline of asset values, a bank must closely…

Risk Management · Quantitative Finance 2015-03-14 Masahiko Egami , Kazutoshi Yamazaki

We study contingent claims in a discrete-time market model where trading costs are given by convex functions and portfolios are constrained by convex sets. In addition to classical frictionless markets and markets with transaction costs or…

Pricing of Securities · Quantitative Finance 2008-12-10 Teemu Pennanen

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

This paper formulates a model of utility for a continuous time framework that captures the decision-maker's concern with ambiguity about both volatility and drift. Corresponding extensions of some basic results in asset pricing theory are…

Pricing of Securities · Quantitative Finance 2013-01-22 Larry G. Epstein , Shaolin Ji

Credit Default Swaps (CDS) on a reference entity may be traded in multiple currencies, in that protection upon default may be offered either in the domestic currency where the entity resides, or in a more liquid and global foreign currency.…

Pricing of Securities · Quantitative Finance 2018-01-23 Damiano Brigo , Nicola Pede , Andrea Petrelli

We show how to price and replicate a variety of barrier-style claims written on the $\log$ price $X$ and quadratic variation $\langle X \rangle$ of a risky asset. Our framework assumes no arbitrage, frictionless markets and zero interest…

Mathematical Finance · Quantitative Finance 2022-01-11 Peter Carr , Roger Lee , Matthew Lorig
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