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In general it is not clear which kind of information is supposed to be used for calculating the fair value of a contingent claim. Even if the information is specified, it is not guaranteed that the fair value is uniquely determined by the…

综合金融 · 定量金融 2016-02-01 Gabriel Frahm

SOFR derivatives market remains illiquid and incomplete so it is not amenable to classical risk-neutral term structure models which are based on the assumption of perfect liquidity and completeness. This paper develops a statistical SOFR…

统计金融 · 定量金融 2026-02-18 Teemu Pennanen , Waleed Taoum

Two markets should be considered isomorphic if they are financially indistinguishable. We define a notion of isomorphism for financial markets in both discrete and continuous time. We then seek to identify the distinct isomorphism classes,…

数理金融 · 定量金融 2020-07-27 John Armstrong

The relevance of Adam Smith for understanding human morality and sociality is recognized in the growing interest in his work on moral sentiments among scholars of various academic backgrounds. But, paradoxically, Adam Smith's theory of…

综合经济学 · 经济学 2023-07-04 Sabiou Inoua , Vernon Smith

Neoclassical economics has two theories of competition between profit-maximizing firms (Marshallian and Cournot-Nash) that start from different premises about the degree of strategic interaction between firms, yet reach the same result,…

适应与自组织系统 · 物理学 2009-11-19 Steve Keen , Russell K. Standish

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

理论经济学 · 经济学 2020-08-26 Carey Caginalp , Gunduz Caginalp

The paper discusses various practical consequences of treating economics and finance as an inherently dynamic and chaotic system. On the theoretical side this looks at the general applicability of the market-making pricing approach to…

综合金融 · 定量金融 2011-05-30 Geoff Willis

We study the range of prices at which a rational agent should contemplate transacting a financial contract outside a given securities market. Trading is subject to nonproportional transaction costs and portfolio constraints and full…

数理金融 · 定量金融 2022-04-08 Maria Arduca , Cosimo Munari

Financial markets are often modelled as if time were unique and continuous across assets and markets. Financial markets are however asynchronous, order flow is event-driven, and waiting times between events are often random. Many of the…

交易与市场微观结构 · 定量金融 2026-04-29 Chris Angstmann , Tim Gebbie

We revisit two classical problems: the determination of the law of the underlying with respect to a risk-neutral measure on the basis of option prices, and the pricing of options with convex payoffs in terms of prices of call options with…

证券定价 · 定量金融 2021-09-14 Carlo Marinelli

This paper does not suppose a priori that the evolution of the price of a financial asset is a semimartingale. Since possible strategies of investors are self-financing, previous prices are forced to be finite quadratic variation processes.…

概率论 · 数学 2007-05-23 Rosanna Coviello , Francesco Russo

We develop a version of the fundamental theorem of asset pricing for discrete-time markets with proportional transaction costs and model uncertainty. A robust notion of no-arbitrage of the second kind is defined and shown to be equivalent…

数理金融 · 定量金融 2014-08-26 Bruno Bouchard , Marcel Nutz

This is an invited article for the Discussion and Debate special issue of The European Physical Journal Special Topics on the subject "Can Economics Be a Physical Science?" The first part of the paper traces the personal path of the author…

经济学 · 定量金融 2017-03-22 Victor M. Yakovenko

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…

综合金融 · 定量金融 2013-10-11 Timothy C. Johnson

We consider the problem of decomposing monetary risk in the presence of a fully traded market in {\it some} risks. We show that a mark-to-market approach to pricing leads to such a decomposition if the risk measure is time-consistent in the…

概率论 · 数学 2008-12-10 Saul Jacka , Abdel Berkaoui

The objective of this paper is to provide a comprehensive study no-arbitrage pricing of financial derivatives in the presence of funding costs, the counterparty credit risk and market frictions affecting the trading mechanism, such as…

数理金融 · 定量金融 2018-04-11 Tomasz R. Bielecki , Igor Cialenco , Marek Rutkowski

In this article we propose a study of market models starting from a set of axioms, as one does in the case of risk measures. We define a market model simply as a mapping from the set of adapted strategies to the set of random variables…

数理金融 · 定量金融 2015-12-08 Mario Sikic

We consider the valuation of contingent claims with delayed dynamics in a Black&Scholes complete market model. We find a pricing formula that can be decomposed into terms reflecting the market values of the past and the present, showing how…

证券定价 · 定量金融 2022-07-29 Enrico Biffis , Beniamin Goldys , Cecilia Prosdocimi , Margherita Zanella

We study the formation of derivative prices in equilibrium between risk-neutral agents with heterogeneous beliefs about the dynamics of the underlying. Under the condition that the derivative cannot be shorted, we prove the existence of a…

数理金融 · 定量金融 2018-01-04 Johannes Muhle-Karbe , Marcel Nutz

Expanding the ideas of the author's paper 'Nonexpansive maps and option pricing theory' (Kibernetica 34:6 (1998), 713-724) we develop a pure game-theoretic approach to option pricing, by-passing stochastic modeling. Risk neutral…

最优化与控制 · 数学 2022-05-03 Vassili Kolokoltsov