Portfolio managers are rarely able to express views on expected returns in a quantitative way. This paper tackles this issue by proposing a simple framework which allows these views to be part of an efficient portfolio construction process. This approach accommodates both a wide range of...

We describe a simple robust technique for incorporating any type of views on expected returns into the Risk parity framework. Optimal allocations with views are characterized by two key properties. First, assets that are not subject to views remain at risk parity. Second, agnostic (cautious)...

The estimation of risk factors and their replication through mimicking portfolios are of critical importance for academics and practitioners in finance. We propose a general optimization framework to construct macro factor mimicking portfolios that encompasses existing portfolio mimicking...

In this paper I study the relationship between rationality and asset prices when agents have heterogeneous and incorrect beliefs about future events. Using the fully rational pricing as a benchmark, I show that when agents behave according to the Subjective Generalized Kelly rule (Bottazzi et...

Risk-based investment solutions are seen as incorporating no views. In this article, we propose an analytical framework that allows the introduction of explicit active views on expected asset returns in risk-based solutions. Starting from a Black-Litterman approach, we derive closed-form...

The picture fuzzy set (PFS) is a powerful tool to collect and handle large amounts of uncertain assess information in a new light. In this study, we explore some distance measures for the PFSs and propose Picture fuzzy ordered weighted distance measure and Picture fuzzy hybrid weighted distance...

Background and target:The optimization of single assets or a portfolio of assets is a ubiquitous task in energy and commodity trading. Assets may be of various types, such as storage facilities (e.g. batteries or water reservoirs for power, heat or gas storage), decentralized or large power...

In this note, we review the conclusions of a paper comparing a cyclical coordinate descent (CCD) algorithm with other algorithms for solving risk parity portfolio optimization problems. In particular, we show that a proper numerical implementation of the CCD algorithm is fast, robust and...

IFRS 9 norms require classifying non-defaulted loans into two stages depending on their credit quality evolution since initial recognition by the bank. In this paper, we propose an optimal way to perform this classification. Target values of some key performance indicators of the provisioning...