The effective transaction cost rates (TCRs) facing large institutional investors often depend on their trading speeds. We propose a continuous time work-horse model to study optimal trading strategies with speed-dependent TCRs. Unlike the existing literature, our model allows the TCRs to be a...

This paper describes a methodology extension for decomposing non-linear portfolio risk by fund manager which we refer to as "Manager Component Value-at-Risk." The approach is well suited to funds holding any asset class or instrument type including derivatives. This decomposition approach is...

In a context of an ever-changing regulatory environment over the last years, Banks have witnessed the draft and publication of several regulatory guidelines and requirements in order to frame and structure their internal Risk Management.Among these guidelines, one has been specifically designed...

I present a methodology for evaluating the performance of fixed-income investment managers, over the last ten years. A cross-section of such managers reveals that alpha does not reflect most non-market performance, unless a regime-switching model is used. The quest is for arriving at qualitative...

We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007-2009. Our methodology is based on topological data analysis (TDA). We use persistence homology to detect and quantify topological patterns that...

Portfolio optimization has been a central problem in finance, often approached with two steps: calibrating the parameters and then solving an optimization problem. Yet, the two-step procedure sometimes encounter the ``error maximization'' problem where inaccuracy in parameter estimation...

In this paper we introduce uncertainty in the investment appraisal, managed through a new criterion called Average Internal Rate of Return (AIRR), introduced in Magni (2010). The consistency of the arithmetic of variables represented with intervals or fuzzy numbers makes it possible to apply the...