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The paper studies sub and super-replication price bounds for contingent claims defined on general trajectory based market models. No prior probabilistic or topological assumptions are placed on the trajectory space, trading is assumed to…

数理金融 · 定量金融 2018-02-22 Ivan Degano , Sebastian Ferrando , Alfredo Gonzalez

A concentration graph associated with a random vector is an undirected graph where each vertex corresponds to one random variable in the vector. The absence of an edge between any pair of vertices (or variables) is equivalent to full…

统计理论 · 数学 2010-01-14 Dhafer Malouche

We consider Vickrey-Clarke-Groves (VCG) auctions for a very general combinatorial structure, in an average-case setting where item costs are independent, identically distributed uniform random variables. We prove that the expected VCG cost…

计算机科学与博弈论 · 计算机科学 2013-10-08 Svante Janson , Gregory B. Sorkin

We mathematically analyze a simple market model where trading at each point in time involves only two agents with the sum of their money being conserved and with neither parties resulting with negative money after the interaction process.…

统计力学 · 物理学 2016-08-31 Arnab Das , Sudhakar Yarlagadda

We analyze a proprietary dataset of trades by a single asset manager, comparing their price impact with that of the trades of the rest of the market. In the context of a linear propagator model we find no significant difference between the…

交易与市场微观结构 · 定量金融 2018-01-03 Bence Toth , Zoltan Eisler , Jean-Philippe Bouchaud

We study the problem of fair division of a set of indivisible goods with connectivity constraints. Specifically, we assume that the goods are represented as vertices of a connected graph, and sets of goods allocated to the agents are…

离散数学 · 计算机科学 2025-08-18 Václav Blažej , Michał Dębski , Zbigniew Lonc , Marta Piecyk , Paweł Rzążewski

We develop two alternate approaches to arbitrage-free, market-complete, option pricing. The first approach requires no riskless asset. We develop the general framework for this approach and illustrate it with two specific examples. The…

证券定价 · 定量金融 2024-03-27 W. Brent Lindquist , Svetlozar T. Rachev

We investigate properties which ensure that a given finite graph is the commuting graph of a group or semigroup. We show that all graphs on at least two vertices such that no vertex is adjacent to all other vertices is the commuting graph…

群论 · 数学 2016-05-18 Michael Giudici , Bojan Kuzma

We consider the pricing of American put options in a model-independent setting: that is, we do not assume that asset prices behave according to a given model, but aim to draw conclusions that hold in any model. We incorporate market…

证券定价 · 定量金融 2013-01-24 Alexander M. G. Cox , Christoph Hoeggerl

We consider a network of sellers, each selling a single product, where the graph structure represents pair-wise complementarities between products. We study how the network structure affects revenue and social welfare of equilibria of the…

计算机科学与博弈论 · 计算机科学 2016-05-03 Moshe Babaioff , Liad Blumrosen , Noam Nisan

No trade theorems examine conditions under which agents cannot agree to disagree on the value of a security which pays according to some state of nature, thus preventing any mutual agreement to trade. A large literature has examined…

理论经济学 · 经济学 2026-04-23 Spyros Galanis

We suggest an intermediate currency approach that allows us to price options on all FX markets simultaneously under the same risk-neutral measure which ensures consistency of FX option prices across all markets. In particular, it is…

数理金融 · 定量金融 2021-02-16 S. Maurer , T. E. Sharp , M. V. Tretyakov

This study provides a practical introduction to high-frequency trading in blockchain-based currency markets. These types of markets have some specific characteristics that differentiate them from the stock markets, such as a large number of…

综合经济学 · 经济学 2023-04-19 Vittorio Astarita

In this paper we ask whether, given a stock market and an illiquid derivative, there exists arbitrage-free prices at which an utility-maximizing agent would always want to buy the derivative, irrespectively of his own initial endowment of…

投资组合管理 · 定量金融 2013-10-23 Pietro Siorpaes

In this paper, we design two chapters to discuss trade dynamics with heterogeneous fluctuations, contributing new insights to macroeconomic issues related to international trade. In the first chapter, we model general exchange rate…

计量经济学 · 经济学 2026-03-11 Yongheng Hu

We generalize Merton's asset valuation approach to systems of multiple financial firms where cross-ownership of equities and liabilities is present. The liabilities, which may include debts and derivatives, can be of differing seniority. We…

证券定价 · 定量金融 2014-06-24 Tom Fischer

Financial markets are complex adaptive systems, and are commonly studied as complex networks. Most of such studies fall short in two respects: they do not account for non-linearity of the studied relationships, and they create one network…

统计金融 · 定量金融 2014-10-01 Paweł Fiedor , Artur Hołda

The purpose of the present paper is the analysis of a model describing how herd behaviour and self-fulfilling prophecies can influence currency exchange rates, and what the impact of a currency transaction tax would be. These considerations…

概率论 · 数学 2007-05-23 Frederik Herzberg

Contrary to the claims made by several authors, a financial market model in which the price of a risky security follows a reflected geometric Brownian motion is not arbitrage-free. In fact, such models violate even the weakest no-arbitrage…

数理金融 · 定量金融 2022-09-07 Dean Buckner , Kevin Dowd , Hardy Hulley

We consider a discrete-time incomplete multi-asset market model with continuous price jumps. For a wide class of contingent claims, including European basket call options, we compute the bounds of the interval containing the no-arbitrage…

数理金融 · 定量金融 2023-01-13 Jarek Kędra , Assaf Libman , Victoria Steblovskaya