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The use of kinetic modelling based on partial differential equations for the dynamics of stock price formation in financial markets is briefly reviewed. The importance of behavioral aspects in market booms and crashes and the role of…

Trading and Market Microstructure · Quantitative Finance 2010-07-12 Dario Maldarella , Lorenzo Pareschi

Discount is the difference between the face value of a bond and its present value. I propose an arbitrage-free dynamic framework for discount models, which provides an alternative to the Heath--Jarrow--Morton framework for forward rates. I…

Mathematical Finance · Quantitative Finance 2023-07-28 Damir Filipovic

Ensuring food security is a critical global challenge, particularly for low-income countries where food prices impact the access to nutritious food. The volatility of global agricultural commodity (AC) prices exacerbates food insecurity,…

General Economics · Economics 2025-03-04 Rotem Zelingher

In this paper we develop a framework for discretely compounding interest rates which is based on the forward price process approach. This approach has a number of advantages, in particular in the current market environment. Compared to the…

Mathematical Finance · Quantitative Finance 2018-05-08 Ernst Eberlein , Christoph Gerhart , Zorana Grbac

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

General Finance · Quantitative Finance 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

We postulates, and then show experimentally, that liquidity deficit is the driving force of the markets. In the first part of the paper a kinematic of liquidity deficit is developed. The calculus-like approach, which is based on…

Computational Finance · Quantitative Finance 2016-12-07 Vladislav Gennadievich Malyshkin , Ray Bakhramov

We present a dynamical model for the price evolution of financial assets. The model is based in a two level structure. In the first stage one finds an agent-based model that describes the present state of the investors' beliefs,…

Trading and Market Microstructure · Quantitative Finance 2009-07-30 Miquel Montero

The possibility that price dynamics is affected by its distance from a moving average has been recently introduced as new statistical tool. The purpose is to identify the tendency of the price dynamics to be attractive or repulsive with…

Physics and Society · Physics 2009-11-11 V. Alfi , F. Coccetti , M. Marotta , L. Pietronero , M. Takayasu

For a commodity spot price dynamics given by an Ornstein-Uhlenbeck process with Barndorff-Nielsen and Shephard stochastic volatility, we price forwards using a class of pricing measures that simultaneously allow for change of level and…

Pricing of Securities · Quantitative Finance 2014-03-21 Fred Espen Benth , Salvador Ortiz-Latorre

In two previous papers the author developed a second-order price adjustment (t\^atonnement) process. This paper extends the approach to include both quantity and price adjustments. We demonstrate three results: a analogue to physical…

General Finance · Quantitative Finance 2012-04-17 Eric Kemp-Benedict

We model the term structure of the forward default intensity and the default density by using L\'evy random fields, which allow us to consider the credit derivatives with an after-default recovery payment. As applications, we study the…

Pricing of Securities · Quantitative Finance 2011-12-14 Lijun Bo , Ying Jiao , Xuewei Yang

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

Statistical Mechanics · Physics 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra

The study is conducted to establish the framework for comparing the relation in performance of the derivatives of BSE and NSE in India and to analyse the relationship of derivatives with the cash market and the market volatility. The…

General Finance · Quantitative Finance 2022-07-28 Shruthi B. C. , N. Suresh

In this study we consider the pricing of energy derivatives when the evolution of spot prices follows a tempered stable or a CGMY driven Ornstein- Uhlenbeck process. To this end, we first calculate the characteristic function of the…

Computational Finance · Quantitative Finance 2021-03-25 Piergiacomo Sabino

One of the peculiarities of power and gas markets is the delivery mechanism of forward contracts. The seller of a futures contract commits to deliver, say, power, over a certain period, while the classical forward is a financial agreement…

Mathematical Finance · Quantitative Finance 2018-06-08 Fred Espen Benth , Marco Piccirilli , Tiziano Vargiolu

A recently proposed stochastic hidden variable model for quantum mechanics has been claimed to involve "retrocausality" due to the appearance of equations of motion with future-time boundary conditions. We formulate an equivalent system of…

Quantum Physics · Physics 2025-12-05 William S. DeWitt , Benjamin H. Feintzeig

This review presents the set of electricity price models proposed in the literature since the opening of power markets. We focus on price models applied to financial pricing and risk management. We classify these models according to their…

Mathematical Finance · Quantitative Finance 2021-07-30 Thomas Deschatre , Olivier Féron , Pierre Gruet

We introduce a local volatility model for the valuation of options on commodity futures by using European vanilla option prices. The corresponding calibration problem is addressed within an online framework, allowing the use of multiple…

Computational Finance · Quantitative Finance 2016-02-16 Vinicius Albani , Uri M. Ascher , Jorge P. Zubelli

The notion of a credit spread curve is fundamental in fixed income investing, but in practice it is not `given' and needs to be constructed from bond prices either for a particular issuer, or for a sector rating-by-rating. Rather than…

Pricing of Securities · Quantitative Finance 2024-04-09 Richard J. Martin

We construct models for the pricing and risk management of inflation-linked derivatives. The models are rational in the sense that linear payoffs written on the consumer price index have prices that are rational functions of the state…

Pricing of Securities · Quantitative Finance 2020-07-17 Henrik Dam , Andrea Macrina , David Skovmand , David Sloth