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In portfolio optimization problems, the minimum expected investment risk is not always smaller than the expected minimal investment risk. That is, using a well-known approach from operations research, it is possible to derive a strategy…

Portfolio Management · Quantitative Finance 2016-12-15 Takashi Shinzato

We consider the optimal investment and marginal utility pricing problem of a risk averse agent and quantify their exposure to a small amount of model uncertainty. Specifically, we compute explicitly the first-order sensitivity of their…

Mathematical Finance · Quantitative Finance 2021-11-15 Jan Obloj , Johannes Wiesel

In settings where Machine Learning (ML) algorithms automate or inform consequential decisions about people, individual decision subjects are often incentivized to strategically modify their observable attributes to receive more favorable…

Machine Learning · Computer Science 2022-06-10 Keegan Harris , Daniel Ngo , Logan Stapleton , Hoda Heidari , Zhiwei Steven Wu

We consider the effect of recovery rates on a pool of credit assets. We allow the recovery rate to depend on the defaults in a general way. Using the theory of large deviations, we study the structure of losses in a pool consisting of a…

Risk Management · Quantitative Finance 2011-11-23 Konstantinos Spiliopoulos , Richard B. Sowers

Although the valuation of life contingent assets has been thoroughly investigated under the framework of mathematical statistics, little financial economics research pays attention to the pricing of these assets in a non-arbitrage, complete…

Pricing of Securities · Quantitative Finance 2025-03-28 Patrick Ling

This paper demonstrates the additive and multiplicative version of a long-run law of unexpected shocks for any economic variable. We derive these long-run laws by the martingale theory without relying on the stationary and ergodic…

Theoretical Economics · Economics 2021-11-12 Weidong Tian

In this paper incomplete-information models are developed for the pricing of securities in a stochastic interest rate setting. In particular we consider credit-risky assets that may include random recovery upon default. The market…

Pricing of Securities · Quantitative Finance 2010-06-04 Andrea Macrina , Priyanka A. Parbhoo

Inverse reinforcement learning is the problem of inferring a reward function from an optimal policy or demonstrations by an expert. In this work, it is assumed that the reward is expressed as a reward machine whose transitions depend on…

Machine Learning · Computer Science 2025-10-23 Mohamad Louai Shehab , Antoine Aspeel , Necmiye Ozay

We cast episodic Markov decision process (MDP) planning as Bayesian inference over policies. A policy is treated as the latent variable and is assigned an unnormalized probability of optimality that is monotone in its expected return,…

Machine Learning · Computer Science 2026-04-14 David Tolpin

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

Econometrics · Economics 2020-05-20 Samuel Gingras , William J. McCausland

An important question in economics is how people choose between different payments in the future. The classical normative model predicts that a decision maker discounts a later payment relative to an earlier one by an exponential function…

Theoretical Economics · Economics 2020-01-09 Alexander T. I. Adamou , Yonatan Berman , Diomides P. Mavroyiannis , Ole B. Peters

Markov decision processes (MDPs) are a popular model for performance analysis and optimization of stochastic systems. The parameters of stochastic behavior of MDPs are estimates from empirical observations of a system; their values are not…

Artificial Intelligence · Computer Science 2017-10-26 Dimitri Scheftelowitsch , Peter Buchholz , Vahid Hashemi , Holger Hermanns

This work considers a stochastic model in which the uncertainty is driven by a multidimensional Brownian motion. The market price of risk process makes the transition between real world probability measure and risk neutral probability…

Probability · Mathematics 2017-10-04 Traian A. Pirvu , Ulrich G. Haussmann

We present a thorough empirical study on real interest rates by also including risk aversion through the introduction of the market price of risk. With the view of complex systems science and its multidisciplinary approach, we use the…

Mathematical Finance · Quantitative Finance 2023-12-29 J. Doyne Farmer , John Geanakoplos , Matteo G. Richiardi , Miquel Montero , Josep Perelló , Jaume Masoliver

We establish a connection between policy evaluation in Markov decision processes and PageRank in network analysis. For a fixed policy, we show that the value function of a discounted Markov decision process can be obtained, up to an…

Optimization and Control · Mathematics 2026-05-04 Konstantin Avrachenkov , Lorenzo Gregoris , Nelly Litvak

Stochastic variational inference makes it possible to approximate posterior distributions induced by large datasets quickly using stochastic optimization. The algorithm relies on the use of fully factorized variational distributions.…

Machine Learning · Computer Science 2014-11-27 Matthew D. Hoffman , David M. Blei

We establish a Nash equilibrium in a market with $ N $ agents with the performance criteria of relative wealth level when the market return is unobservable. Each investor has a random prior belief on the return rate of the risky asset. The…

Portfolio Management · Quantitative Finance 2020-07-24 Chao Deng , Xizhi Su , Chao Zhou

In a Markovian stochastic volatility model, we consider financial agents whose investment criteria are modelled by forward exponential performance processes. The problem of contingent claim indifference valuation is first addressed and a…

Portfolio Management · Quantitative Finance 2016-11-26 Michail Anthropelos

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

Portfolio Management · Quantitative Finance 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

Bayesian analyses combine information represented by different terms in a joint Bayesian model. When one or more of the terms is misspecified, it can be helpful to restrict the use of information from suspect model components to modify…

Methodology · Statistics 2022-06-27 Xuejun Yu , David J. Nott , Michael Stanley Smith