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We provide closed-form market equilibrium formula consolidating informational imperfections and investors beliefs. Based on Merton's model, we characterize the equilibrium expected excess returns vector with incomplete information. We then…

证券定价 · 定量金融 2025-02-14 Hafid Lalioui , Amine Ben Amar , Makram Bellalah

We introduce a theory of stochastic integration with respect to a family of semimartingales depending on a continuous parameter, as a mathematical background to the theory of bond markets. We apply our results to the problem of…

概率论 · 数学 2008-12-10 M. De Donno , M. Pratelli

We consider a bipartite network of buyers and sellers, where the sellers run locally independent Progressive Second-Price (PSP) auctions, and buyers may participate in multiple auctions, forming a multi-auction market with perfect…

计算机科学与博弈论 · 计算机科学 2026-01-23 Jordana Blazek , Frederick C. Harris

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

We consider a financial market in which two securities are traded: a stock and an index. Their prices are assumed to satisfy the Black-Scholes model. Besides assuming that the index is a tradable security, we also assume that it is…

投资组合管理 · 定量金融 2011-09-26 Vladimir Vovk

We discuss the pricing of defaultable assets in an incomplete information model where the default time is given by a first hitting time of an unobservable process. We show that in a fairly general Markov setting, the indicator function of…

概率论 · 数学 2012-05-08 Umut Çetin

We consider a market of risky financial assets whose participants are an informed trader, a representative uninformed trader, and noisy liquidity providers. We prove the existence of a market-clearing equilibrium when the insider…

交易与市场微观结构 · 定量金融 2025-04-02 Michail Anthropelos , Scott Robertson

Volatility is the canonical measure of financial risk, a role largely inherited from Modern Portfolio Theory. Yet, its universality rests on restrictive efficiency assumptions that render volatility, at best, an incomplete proxy for true…

数理金融 · 定量金融 2026-05-01 Sergio Bianchi , Daniele Angelini

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

We consider hedging of a contingent claim by a 'semi-static' strategy composed of a dynamic position in one asset and static (buy-and-hold) positions in other assets. We give general representations of the optimal strategy and the hedging…

数理金融 · 定量金融 2017-09-19 Paolo Di Tella , Martin Haubold , Martin Keller-Ressel

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

概率论 · 数学 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected…

投资组合管理 · 定量金融 2010-03-17 Constantinos Kardaras , Gordan Zitkovic

An asymmetric information model is introduced for the situation in which there is a small agent who is more susceptible to the flow of information in the market than the general market participant, and who tries to implement strategies…

交易与市场微观结构 · 定量金融 2013-01-31 Dorje C. Brody , Mark H. A. Davis , Robyn L. Friedman , Lane P. Hughston

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

Standard models in economics stress the role of intelligent agents who maximize utility. However, there may be situations where, for some purposes, constraints imposed by market institutions dominate intelligent agent behavior. We use data…

统计力学 · 物理学 2008-12-02 J. Doyne Farmer , Paolo Patelli , Ilija I. Zovko

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

We unify and establish equivalence between the pathwise and the quasi-sure approaches to robust modelling of financial markets in discrete time. In particular, we prove a Fundamental Theorem of Asset Pricing and a Superhedging Theorem,…

数理金融 · 定量金融 2019-12-04 Jan Obloj , Johannes Wiesel

We provide a characterization of revenue-optimal dynamic mechanisms in settings where a monopolist sells k items over k periods to a buyer who realizes his value for item i in the beginning of period i. We require that the mechanism…

计算机科学与博弈论 · 计算机科学 2016-07-06 Itai Ashlagi , Constantinos Daskalakis , Nima Haghpanah

We study a generalization of the model of a dark market due to Duffie-G\^arleanu- Pedersen [6]. Our market is segmented and involves multiple assets. We show that this market has a unique asymptotically stable equilibrium. In order to…

综合经济学 · 经济学 2018-07-23 Alain Bélanger , Ndouné Ndouné , Roland Pongou

Economists often estimate economic models on data and use the point estimates as a stand-in for the truth when studying the model's implications for optimal decision-making. This practice ignores model ambiguity, exposes the decision…

计量经济学 · 经济学 2021-10-07 Maximilian Blesch , Philipp Eisenhauer