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In terms of notional value outstanding, derivatives markets declined in both over-the-counter and exchange-traded transactions during the 2007–2009 global financial crisis (GFC) period, as counterparty and credit concerns became pre-eminent. However, during the 2010–2011 second stage of the GFC, markets rebounded and by June 2011 outstandings reached new levels which highlight the importance these contracts continue to play in the day-to-day risk management and trading activities of corporations and financial intermediaries. The bulk of the contracts traded are interest rate-related instruments and are denominated in either US dollars or Euro. Credit-related instruments remain an important market segment, although outstandings remain at pre-crisis period levels. Of particular concern for regulators is the role of non-bank financial intermediaries, which are the main counterparty to derivatives transactions. While their share of the market remains unchanged over the last decade, outstandings overall have increased more than fourfold. The present volume considers the issues that participants face in today's derivatives markets including the potential impact of derivatives on economic stability, pricing issues, modelling as well as model performance and the application of derivatives for risk management and corporate control.

Compensation of funds managers increasingly involves elements of profit sharing that entitle managers to option-like payoffs. An important example is the compensation of private equity fund managers. Compensation of private equity fund managers typically consists of a fixed management fee and a performance-related carried interest. The fixed management fee resembles common compensation terms of mutual funds and hedge funds, while the performance-related carried interest is uncommon among most mutual funds. Moreover, the performance-related carried interest typically differs from variable hedge fund fees. In this chapter, we derive the value of the variable components of private equity fund managers’ compensation based on a risk-neutral option-pricing approach.

Financial markets have experienced considerable turbulence over the past two decades. The recent subprime and sovereign debt crises in the United States and Europe, respectively, have resulted in significant new regulatory responses. They also prompted the re-evaluation of how best to manage and measure financial risk. The 20 chapters in this volume provide a number of different perspectives on financial risk in the post-crisis period where monetary easing has become a predominant monetary policy. While asset price volatility has now returned to levels experienced in the mid-2000s many lessons remain. Among the most important is the need to accurately measure and manage the complex risks that exist in financial markets. Our hope is that the chapters presented here provide a better understanding of how best to do this, while also giving insights for next suitable steps and further developments.