In this primer, we review the classical methods for assessing the performance of a financial portfolio. The analysis relies on benchmarking the return on the portfolio with that of a peer group. We define and discuss the pros and cons of four performance metrics that are theoretically consistent...

This paper reviews the main dimensions underlying the selection of a classical portfolio performance measure, namely the Sharpe Ratio, Jensen's alpha, the Modified Jensen's alpha, the Treynor Ratio, and the Information Ratio. We first examine how they differ from each other according to the risk...

We present a novel measure to declare a magnitude of the difference between fund's prospectus investment styles and the fund's actual investment styles on a long- term basis. Our measure incorporates parameter uncertainty in its measurement and through a sequence of pair-wise comparisons of the...

In this paper, we propose a method for hedge fund replication using a factor-based model supplemented with a series of risk and return constraints that implicitly target all the moments of the hedge fund return distribution. We use the approach to replicate the monthly returns of ten broad hedge...

This paper studies the relationship between mutual fund manager investment horizons and managerial risk-taking decisions. I find that in general mutual funds reporting longer maximum evaluation horizons have lower risk levels. The low risk levels helped these funds mitigate their losses in the...

The phrase long-term investing in triple leveraged ETFs is somewhat of an anathema for investment academicians. As a result of daily rebalancing and so-called beta slippage or “the constant leverage trap” it is highly likely over the long term to significantly deviate from the targeted...

This paper introduces a general continuous-time mathematical framework for solution of dynamic mean-variance control problems. We obtain theoretical results for two classes of functionals: the first one depends on the whole trajectory of the controlled process and the second one is based on its...

Chapter 1 - Estimating Determinants of a Mutual Fund's Risk and Managerial Performance: In this chapter, we construct a framework that can be used by investors to independently estimate a mutual fund's actual and policy weights in a set of predefined asset classes, and to estimate a mutual...

The paper is about pension fund problems where an agent pays an amount x0 to the fund manager and is repaid, after time T, a lump sum x(T). Such problems admit an analytical solution for specific, rather unrealistic formulations. Several practical pension fund problems are converted in the paper...

Portfolio optimisation for a Fund of Hedge Funds (“FoHF”) has to address the asymmetric, non-Gaussian nature of the underlying returns distributions. Furthermore, the objective functions and constraints are not necessarily convex or even smooth. Therefore traditional portfolio optimisation...