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Stochastic discount factor (SDF) processes in dynamic economies admit a permanent-transitory decomposition in which the permanent component characterizes pricing over long investment horizons. This paper introduces an empirical framework to…

统计方法学 · 统计学 2022-06-06 Timothy Christensen

Asset prices contain information about the probability distribution of future states and the stochastic discounting of those states as used by investors. To better understand the challenge in distinguishing investors' beliefs from…

数理金融 · 定量金融 2015-10-06 Jaroslav Borovička , Lars Peter Hansen , José A. Scheinkman

This paper extends the long-term factorization of the stochastic discount factor introduced and studied by Alvarez and Jermann (2005) in discretetime ergodic environments and by Hansen and Scheinkman (2009) and Hansen (2012) in Markovian…

经济学 · 定量金融 2016-10-05 Likuan Qin , Vadim Linetsky

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

交易与市场微观结构 · 定量金融 2015-01-06 Pietro Fodra , Huyên Pham

We consider the pricing problem related to payoffs that can have discontinuities of polynomial growth. The asset price dynamic is modeled within the Black and Scholes framework characterized by a stochastic volatility term driven by a…

概率论 · 数学 2016-07-26 Viktor Bezborodov , Luca Di Persio , Yuliya Mishura

We study several natural multiplicity questions that arise in the context of the Birman-Schwinger principle applied to non-self-adjoint operators. In particular, we re-prove (and extend) a recent result by Latushkin and Sukhtyaev by…

谱理论 · 数学 2020-05-05 Fritz Gesztesy , Helge Holden , Roger Nichols

We develop sharp large deviation asymptotics for the probability of ruin in a Markov-dependent stochastic economic environment and study the extremes for some related Markovian processes which arise in financial and insurance mathematics,…

概率论 · 数学 2009-09-01 Jeffrey F. Collamore

In this paper, we consider risk-sensitive Markov Decision Processes (MDPs) with Borel state and action spaces and unbounded cost under both finite and infinite planning horizons. Our optimality criterion is based on the recursive…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Alexander Glauner

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

交易与市场微观结构 · 定量金融 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

We consider a stochastic factor financial model where the asset price process and the process for the stochastic factor depend on an observable Markov chain and exhibit an affine structure. We are faced with a finite time investment horizon…

投资组合管理 · 定量金融 2014-03-21 Marcos Escobar , Daniela Neykova , Rudi Zagst

The purpose of this article is to describe all possible beliefs of market participants on objective measures under Markovian environments when a risk-neutral measure is given. To achieve this, we employ the Martin integral representation of…

数理金融 · 定量金融 2015-04-02 Hyungbin Park

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…

数理金融 · 定量金融 2024-09-24 Tim Leung , Matthew Lorig

In this paper, we study a Markov decision process with a non-linear discount function and with a Borel state space. We define a recursive discounted utility, which resembles non-additive utility functions considered in a number of models in…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Anna Jaśkiewicz , Andrzej S. Nowak

In a continuous time stochastic economy, this paper considers the problem of consumption and investment in a financial market in which the representative investor exhibits a change in the discount rate. The investment opportunities are a…

最优化与控制 · 数学 2011-07-12 Traian A. Pirvu , Huayue Zhang

Solving Markov Decision Processes (MDPs) remains a central challenge in sequential decision-making, especially when dealing with large state spaces and long-term optimization criteria. A key step in Bellman dynamic programming algorithms is…

最优化与控制 · 数学 2025-08-04 Youssef Ait El Mahjoub , Jean-Michel Fourneau , Salma Alouah

We address the problem of asset pricing in a market where there is no risky asset. Previous work developed a theoretical model for a shadow riskless rate (SRR) for such a market in terms of the drift component of the state-price deflator…

数理金融 · 定量金融 2024-11-13 Davide Lauria , JiHo Park , Yuan Hu , W. Brent Lindquist , Svetlozar T. Rachev , Frank J. Fabozzi

An efficient method to price bonds with optional sinking feature is presented. Such instruments equip their issuer with the option (but not the obligation) to redeem parts of the notional prior to maturity, therefore the future cash flows…

证券定价 · 定量金融 2013-05-23 Jan-Frederik Mai , Marc Wittlinger

This paper is devoted to a study of robust fundamental theorems of asset pricing in discrete time and finite horizon settings. Uncertainty is modelled by a (possibly uncountable) family of price processes on the same probability space. Our…

数理金融 · 定量金融 2024-04-04 Huy N. Chau

This paper proves existence of the long bond, long forward measure and long-term factorization of the stochastic discount factor (SDF) of Alvarez and Jermann (2005) and Hansen and Scheinkman (2009) in Heath-Jarrow-Morton (HJM) models in the…

数理金融 · 定量金融 2017-07-28 Likuan Qin , Vadim Linetsky

In this paper we study a periodic-review single-commodity setup-cost inventory model with backorders and holding/backlog costs satisfying quasiconvexity assumptions. We show that the Markov decision process for this inventory model…

最优化与控制 · 数学 2017-11-09 Eugene A. Feinberg , Yan Liang
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