In this report we study South African implied volatility from three different perspectives. Firstly, we conduct an analysis of the historical Top40 Index implied volatility surface dynamics. In particular, we consider the regime-dependence of atm volatility and skew levels and how this...

In this work we consider the application of expected utility optimization to the construction of an optimal hedge. Utility theory provides a rich framework for decision-making under uncertainty and features preferences specified via a range of simple to possibly complex functions of future...

We address a very topical – and to some extent, intractable – question: When should I hedge? By analysing South African historical market returns, we show that only a handful of extreme returns – which are well characterised by two simple quantitative indicators – can have a significant...

This report provides an overview of the utility of single stock and custom basket options in fund management. It is shown that managers of active equity funds can limit possible negative return contributions of their over - and underweight positions via single stock options and thus help to...