FIN-03-048

NYU Stern School of Business


Risk Management with Benchmarking

December 2003

Suleyman Basak, Alex Shapiro and Lucie Tepla

ABSTRACT
Portfolio theory must address the fact that, in reality, portfolio managers are evaluated relative to a benchmark, and therefore adopt risk management practices to account for the benchmark performance. We capture this risk management consideration by allowing a pre-specified shortfall from a target benchmark-linked return, consistent with growing interest in such practice. In a dynamic setting, we demonstrate how a risk averse portfolio manager optimally under- or over-performs a target benchmark under different economic conditions, depending on his attitude towards risk and choice of the benchmark. The analysis therefore illustrates how investors can achieve their desired gain/loss characteristics for funds under management through an appropriate combined choice of the benchmark and money manager. We consider a variety of extensions, and also highlight the ability of our setting to shed some light on documented return patterns across segments of the money management industry.

Suleyman Basak
Institution: London Business School, Regent’s Park, London - NW1 4SA, UK
Phone: +44 (0) 20-7706-6847
Fax: +44 (0) 20-7724-3317
Email: sbasak@london.edu

Alex Shapiro
Institution: Stern School of Business, New York University
Phone: (212) 998-0362
Fax: (212) 995-4233
Email: ashapiro@stern.nyu.edu
Home Page: http://www.stern.nyu.edu/~ashapiro

Lucie Tepla
Institution: Finance Department, INSEAD, Boulevard de Constance, 77305 Fountainebleau Cedex, France
Phone: (33) 1-6072-4485
Fax: (33) 1-6072-4045
Email: lucie.tepla@insead.edu

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