Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Optimal investment in ambiguous financial markets with learning

We consider the classical multi-asset Merton investment problem under drift uncertainty, i.e. the asset price dynamics are given by geometric Brownian motions with constant but unknown drift coefficients. The investor assumes a prior drift distribution and is able to learn by observing the asset pri

Lab Rats Math 8.5 Rigor 3 ·  March 15, 2023

Nash equilibria for relative investors with (non)linear price impact

We consider the strategic interaction of $n$ investors who are able to influence a stock price process and at the same time measure their utilities relative to the other investors. Our main aim is to find Nash equilibrium investment strategies in this setting in a financial market driven by a Browni

Lab Rats Math 8.5 Rigor 2.5 ·  March 31, 2023

Optimal investment under partial information and robust VaR-type constraint

This paper extends the utility maximization literature by combining partial information and (robust) regulatory constraints. Partial information is characterized by the fact that the stock price itself is observable by the optimizing financial institution, but the outcome of the market price of the

Lab Rats Math 8.5 Rigor 2 ·  December 8, 2022

Markov Decision Processes with Risk-Sensitive Criteria: An Overview

The paper provides an overview of the theory and applications of risk-sensitive Markov decision processes. The term ‘risk-sensitive’ refers here to the use of the Optimized Certainty Equivalent as a means to measure expectation and risk. This comprises the well-known entropic risk measure and Condit

Lab Rats Math 8 Rigor 1.5 ·  November 12, 2023

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