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Related papers: Social Discounting and the Long Rate of Interest

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We study the market selection hypothesis in complete financial markets, populated by heterogeneous agents. We allow for a rich structure of heterogeneity: individuals may differ in their beliefs concerning the economy, information and…

Portfolio Management · Quantitative Finance 2012-01-17 Roman Muraviev

Since the advent of inflation, several theorems have been proven suggesting that although inflation can (and generically does) continue eternally into the future, it cannot be extended eternally into the past to create a ``steady-state''…

Astrophysics · Physics 2009-11-07 Anthony Aguirre , Steven Gratton

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…

Mathematical Finance · Quantitative Finance 2017-07-28 Likuan Qin , Vadim Linetsky

We analyze the asymptotic behavior for a system of fully nonlinear parabolic and elliptic quasi variational inequalities. These equations are related to robust switching control problems introduced in [3]. We prove that, as time horizon…

Probability · Mathematics 2017-02-07 Erhan Bayraktar , Andrea Cosso , Huyên Pham

In the last decades, control problems with infinite horizons and discount factors have become increasingly central not only for economics but also for applications in artificial intelligence and machine learning. The strong links between…

Optimization and Control · Mathematics 2023-10-25 Vincenzo Basco

This paper characterizes differentiable and subgame Markov perfect equilibria in a continuous time intertemporal decision problem with non-constant discounting. Capturing the idea of non commitment by letting the commitment period being…

Optimization and Control · Mathematics 2008-08-29 Ivar Ekeland , Ali Lazrak

This paper proves continuity of value functions in discounted periodic-review single-commodity total-cost inventory control problems with \revision{continuous inventory levels,} fixed ordering costs, possibly bounded inventory storage…

Optimization and Control · Mathematics 2022-07-27 Eugene A. Feinberg , David N. Kraemer

We consider continuous-time consensus seeking systems whose time-dependent interactions are cut-balanced, in the following sense: if a group of agents influences the remaining ones, the former group is also influenced by the remaining ones…

Systems and Control · Computer Science 2013-04-29 Julien M. Hendrickx , John N. Tsitsiklis

Large deviation theory is a branch of probability theory that is devoted to a study of the "rate" at which empirical estimates of various quantities converge to their true values. The object of study in this paper is the rate at which…

Statistics Theory · Mathematics 2013-09-17 Mathukumalli Vidyasagar

The distribution of income and wealth in developed economies exhibits a robust two-class structure: an exponential (Boltzmann--Gibbs) bulk covering $\sim\!97\%$ of the population, and a power-law (Pareto) tail in the upper $\sim\!3\%$. We…

Physics and Society · Physics 2026-04-28 Robert T. Nachtrieb

By analysing the restrictions that ensure the existence of capital market equilibrium, we show that the coefficient of relative risk aversion and the subjective discount factor cannot be high simultaneously as they are supposed to be to…

Computational Finance · Quantitative Finance 2016-06-30 Dominique Pepin

In this paper, we present own point of view how the unexpected fluctuations of the long-term real interest rate can be explained. We describe a macroeconomic environment by the modification of the fundamental macroeconomic equilibrium model…

General Finance · Quantitative Finance 2019-03-21 Barbora Volná

We extend the fundamental theorem of asset pricing to a model where the risky stock is subject to proportional transaction costs in the form of bid-ask spreads and the bank account has different interest rates for borrowing and lending. We…

Pricing of Securities · Quantitative Finance 2008-12-02 Alet Roux

The folk result in Kyle-Back models states that the value function of the insider remains unchanged when her admissible strategies are restricted to absolutely continuous ones. In this paper we show that, for a large class of pricing rules…

Trading and Market Microstructure · Quantitative Finance 2021-08-23 Umut Çetin , Albina Danilova

The main result of this paper that a martingale evolution can be chosen for Libor such that all the Libor interest rates have a common market measure; the drift is fixed such that each Libor has the martingale property. Libor is described…

Physics and Society · Physics 2008-12-02 Belal E. Baaquie

A stochastic model with a continuum of economic agents often involves shocks at both macro and micro levels. This can be formalized by a continuum of random variables that are conditionally independent given the macro level shocks. Based on…

Probability · Mathematics 2014-10-07 Lei Qiao , Yeneng Sun , Zhixiang Zhang

Despite the many applications of rate-independent systems, their regularity theory is still largely unexplored. Usually, only weak solution with potentially very low regularity are considered, which requires non-smooth techniques. In this…

Analysis of PDEs · Mathematics 2016-03-01 Filip Rindler , Sebastian Schwarzacher

We discuss - in what is intended to be a pedagogical fashion - a criterion, which is a lower bound on a certain ratio, for when a stock (or a similar instrument) is not a good investment in the long term, which can happen even if the…

Risk Management · Quantitative Finance 2017-08-01 Zura Kakushadze

We find that factors explaining bank loan recovery rates vary depending on the state of the economic cycle. Our modeling approach incorporates a two-state Markov switching mechanism as a proxy for the latent credit cycle, helping to explain…

Risk Management · Quantitative Finance 2018-04-20 Hong Wang , Catherine S. Forbes , Jean-Pierre Fenech , John Vaz

There is a conception that Boltzmann-Gibbs statistics cannot yield the long tail distribution. This is the justification for the intensive research of nonextensive entropies (i.e. Tsallis entropy and others). Here the error that caused this…

Information Theory · Computer Science 2009-06-30 Oded Kafri
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