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The aim of this paper is to compare two asset allocation methods for a pension scheme during the decumulation phase in the simplified portfolio selection between a risky asset following a geometric Brownian motion and a riskless asset. The…

Portfolio Management · Quantitative Finance 2010-01-13 Frédéric Planchet , Pierre-Emanuel Thérond

Sharpe ratio is widely used in asset management to compare and benchmark funds and asset managers. It computes the ratio of the excess return over the strategy standard deviation. However, the elements to compute the Sharpe ratio, namely,…

Statistical Finance · Quantitative Finance 2019-05-15 Eric Benhamou

In the portfolio multiobjective optimization framework, we propose to compare and choose, among all feasible asset portfolios of a given market, the one that maximizes the product of the distances between its values of risk and gain and…

Optimization and Control · Mathematics 2018-01-16 Francesco Cesarone , Lorenzo Lampariello , Simone Sagratella

Portfolio optimization methods suffer from a catalogue of known problems, mainly due to the facts that pair correlations of asset returns are unstable, and that extremal risk measures such as maximum drawdown are difficult to predict due to…

Portfolio Management · Quantitative Finance 2022-05-20 Jan Rosenzweig

Roy's `Safety First' criterion for selecting one risky asset from many is adapted to the case of non-normal returns, via Cornish Fisher expansion. The resulting investment objective is consistent with first order stochastic dominance, and…

Statistical Finance · Quantitative Finance 2015-06-16 Steven E. Pav

We characterize profit-maximizing operating strategies, over some time horizon [0,T], for an energy store which is trading in an arbitrage market. Our theory allows for leakage, operating inefficiencies, operating constraints and general…

Optimization and Control · Mathematics 2014-12-03 Lisa Flatley , Robert S. MacKay , Michael Waterson

This paper proposes a new method for financial portfolio optimization based on reducing simultaneous asset shocks across a collection of assets. This may be understood as an alternative approach to risk reduction in a portfolio based on a…

Portfolio Management · Quantitative Finance 2023-03-10 Nick James , Max Menzies , Jennifer Chan

We find the optimal investment strategy to minimize the expected time that an individual's wealth stays below zero, the so-called {\it occupation time}. The individual consumes at a constant rate and invests in a Black-Scholes financial…

Portfolio Management · Quantitative Finance 2008-12-02 Erhan Bayraktar , Virginia R. Young

This paper introduces an algorithm-agnostic approach to feature-based time series clustering via amortized neural inference. By training neural networks to approximate the optimal partitioning rule from simulated data, the proposed…

Machine Learning · Statistics 2026-05-14 Ángel López-Oriona , Ying Sun

We introduce a new general framework for constructing the best trading strategy for a given historical indicator. We construct the unique trading strategy with the highest expected return. This optimal strategy may be implemented directly,…

Portfolio Management · Quantitative Finance 2011-08-04 Philip Z. Maymin , Zakhar G. Maymin

Dynamic trading strategies, in the spirit of trend-following or mean-reversion, represent an only partly understood but lucrative and pervasive area of modern finance. Assuming Gaussian returns and Gaussian dynamic weights or signals,…

Portfolio Management · Quantitative Finance 2019-06-05 Nick Firoozye , Adriano Koshiyama

This paper investigates the use of multiple directions of stratification as a variance reduction technique for Monte Carlo simulations of path-dependent options driven by Gaussian vectors. The precision of the method depends on the choice…

Computational Finance · Quantitative Finance 2010-04-29 Benjamin Jourdain , Bernard Lapeyre , Piergiacomo Sabino

We study Pareto-optimal risk sharing in economies with heterogeneous attitudes toward risk, where agents' preferences are modeled by distortion risk measures. Building on comonotonic and counter-monotonic improvement results, we show that…

Theoretical Economics · Economics 2025-10-22 Mario Ghossoub , Qinghua Ren , Ruodu Wang

In this short note, we address two issues in the literature about modern tontines with bequest and utility maximisation: how to verify optimal controls and the decreasing allocation of funds in the tontine. We want to raise awareness in the…

Risk Management · Quantitative Finance 2025-01-16 Thomas Bernhardt

We consider the holder of an individual tontine retirement account, with maximum and minimum withdrawal amounts (per year) specified. The tontine account holder initiates the account at age 65, and earns mortality credits while alive, but…

Computational Finance · Quantitative Finance 2022-11-22 Peter A. Forsyth , Kenneth R. Vetzal , G. Westmacott

Asset allocation using reinforcement learning has advantages such as flexibility in goal setting and utilization of various information. However, existing asset allocation methods do not consider the following viewpoints in solving the…

Computational Finance · Quantitative Finance 2022-07-07 Jungyu Ahn , Sungwoo Park , Jiwoon Kim , Ju-hong Lee

We present a simulation-and-regression method for solving dynamic portfolio allocation problems in the presence of general transaction costs, liquidity costs and market impacts. This method extends the classical least squares Monte Carlo…

Portfolio Management · Quantitative Finance 2019-06-05 Rongju Zhang , Nicolas Langrené , Yu Tian , Zili Zhu , Fima Klebaner , Kais Hamza

In this paper, we document a novel machine learning based bottom-up approach for static and dynamic portfolio optimization on, potentially, a large number of assets. The methodology applies to general constrained optimization problems and…

Mathematical Finance · Quantitative Finance 2020-11-24 Qing Yang , Zhenning Hong , Ruyan Tian , Tingting Ye , Liangliang Zhang

Efficiently allocating treatments with a budget constraint constitutes an important challenge across various domains. In marketing, for example, the use of promotions to target potential customers and boost conversions is limited by the…

Machine Learning · Computer Science 2024-05-06 Toon Vanderschueren , Wouter Verbeke , Felipe Moraes , Hugo Manuel Proença

We consider the optimal allocation of generic resources among multiple generic entities of interest over a finite planning horizon, where each entity generates stochastic returns as a function of its resource allocation during each period.…

Optimization and Control · Mathematics 2017-02-28 Yingdong Lu , Siva Theja Maguluri , Mark S. Squillante , Chai Wah Wu
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