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In this article, we analyze two modeling approaches for the pricing of derivative contracts on a commodity index. The first one is a microscopic approach, where the components of the index are modeled individually, and the index price is…

Computational Finance · Quantitative Finance 2024-08-05 Alberto Manzano , Emanuele Nastasi , Andrea Pallavicini , Carlos Vázquez

We study emergent dynamics of the discrete Cucker-Smale (in short, DCS) model with randomly switching network topologies. For this, we provide a sufficient framework leading to the stochastic flocking with probability one. Our sufficient…

Dynamical Systems · Mathematics 2019-12-30 Jiu-Gang Dong , Seung-Yeal Ha , Jinwook Jung , Doheon Kim

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…

Pricing of Securities · Quantitative Finance 2019-10-21 Milan Kumar Das , Anindya Goswami , Tanmay S. Patankar

Sequential Monte Carlo (SMC) methods have successfully been used in many applications in engineering, statistics and physics. However, these are seldom used in financial option pricing literature and practice. This paper presents SMC method…

Computational Finance · Quantitative Finance 2020-08-04 Pavel V. Shevchenko , Pierre Del Moral

The present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by…

Risk Management · Quantitative Finance 2010-02-01 Didier Rullière , Diana Dorobantu , Areski Cousin

The LIBOR rate is currently scheduled for discontinuation, and the replacement advocated by regulators in the US is the Secured Overnight Financing Rate (SOFR). The change has the potential to disrupt the $200 trillion market of derivatives…

Mathematical Finance · Quantitative Finance 2021-03-23 Jacob Bjerre Skov , David Skovmand

The modeling of the probability of joint default or total number of defaults among the firms is one of the crucial problems to mitigate the credit risk since the default correlations significantly affect the portfolio loss distribution and…

Risk Management · Quantitative Finance 2022-08-08 Puneet Pasricha , Dharmaraja Selvamuthu , Selvaraju Natarajan

This paper considers the case of pricing discretely-sampled variance swaps under the class of equity-interest rate hybridization. Our modeling framework consists of the equity which follows the dynamics of the Heston stochastic volatility…

Pricing of Securities · Quantitative Finance 2020-04-14 Teh Raihana Nazirah Roslan , Wenjun Zhang , Jiling Cao

This paper presents a novel approach to pricing American options using piecewise diffusion Markov processes (PDifMPs), a type of generalised stochastic hybrid system that integrates continuous dynamics with discrete jump processes. Standard…

Computational Finance · Quantitative Finance 2024-09-13 Evelyn Buckwar , Sascha Desmettre , Agnes Mallinger , Amira Meddah

We introduce a new volatility model for option pricing that combines Markov switching with the Realized GARCH framework. This leads to a novel pricing kernel with a state-dependent variance risk premium and a pricing formula for European…

Pricing of Securities · Quantitative Finance 2022-04-15 Chen Tong , Peter Reinhard Hansen , Zhuo Huang

In this paper we propose a general derivative pricing framework which employs decoupled time-changed (DTC) L\'evy processes to model the underlying asset of contingent claims. A DTC L\'evy process is a generalized time-changed L\'evy…

Pricing of Securities · Quantitative Finance 2015-02-03 Lorenzo Torricelli

As corporates and governments become more digital, they become vulnerable to various forms of cyber attack. Cyber insurance products have been used as risk management tools, yet their pricing does not reflect actual risk, including that of…

Risk Management · Quantitative Finance 2020-07-10 Jiwook Jang , Rosy Oh

We consider the pricing of European-style structured credit payoff in a static framework, where the underlying default times are independent given a common factor. A practical application would consist of the pricing of nth-to-default…

Pricing of Securities · Quantitative Finance 2012-04-11 Jean-David Fermanian , Olivier Vigneron

In this paper we introduce a class of information-based models for the pricing of fixed-income securities. We consider a set of continuous- time information processes that describe the flow of information about market factors in a monetary…

Pricing of Securities · Quantitative Finance 2010-04-27 Lane P. Hughston , Andrea Macrina

There are many studies on development of models for analyzing some derivatives such as credit default swaps .

Pricing of Securities · Quantitative Finance 2017-06-20 Zahra Sokoot , Navideh Modarresi , Farzaneh Niknejad

We review different approaches for measuring the impact of liquidity on CDS prices. We start with reduced form models incorporating liquidity as an additional discount rate. We review Chen, Fabozzi and Sverdlove (2008) and Buhler and Trapp…

Risk Management · Quantitative Finance 2010-03-23 Damiano Brigo , Mirela Predescu , Agostino Capponi

Although the growth of share-based payments with performance conditions (hereafter, SPPC) is prominent today, the theoretical price of SPPC has not been sufficiently studied. Reflecting such a situation, the current accounting standards for…

Mathematical Finance · Quantitative Finance 2018-06-15 Masahiro Fujimoto

We prove that the variance swap rate (fair strike) equals the price of a co-terminal European-style contract when the underlying is an exponential Markov process, time-changed by an arbitrary continuous stochastic clock, which has arbitrary…

Mathematical Finance · Quantitative Finance 2019-11-18 Peter Carr , Roger Lee , Matthew Lorig

This paper studies how international investors' concerns about model misspecification affect sovereign bond spreads. We develop a general equilibrium model of sovereign debt with endogenous default wherein investors fear that the…

Economics · Quantitative Finance 2015-12-23 Demian Pouzo , Ignacio Presno

We consider a financial market in which the short rate is modeled by a continuous time Markov chain (CTMC) with a finite state space. In this setting, we show how to price any financial derivative whose payoff is a function of the state of…

Mathematical Finance · Quantitative Finance 2024-09-24 Tim Leung , Matthew Lorig
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