Today, the use of a benchmark portfolio is common practice in the financial management industry. This setup allows the investor to evaluate the added value in line with the risks undertaken. But the relevant concept of risk is relative risk as defined by tracking-error volatility.The problem of...

This paper examines some properties of optimal portfolio positioning that are linked with the risk aversion and the prudence of the investor. It introduces the ratio of the degree of absolute prudence on the absolute risk aversion. This one allows the analysis of the degree of...

This paper examines wether risk attribution process is consistent with portfolio optimizations under tracking-error constraints. Since Mina (2003), Bertrand (2005) and Menchero and Hu (2006), risk attribution has been widely used in the performance attribution process.This article presents an...

This paper examines whether the risk-adjusted performance attribution process is consistent with portfolio optimization under tracking-error constraints. Since Mina (2003), Bertrand (2005) and Menchero and Hu (2006), risk attribution has been widely used in the performance attribution...

We compare the performances of the two standard portfolio insurance methods: the Option Based Portfolio Insurance (OBPI) and the Constant Proportion Portfolio Insurance (CPPI), when the volatility of the stock index is stochastic. In this framework, we provide a quite general formula for the...

One of the standard insurance portfolio method is the Constant Proportion Portfolio Insurance (CPPI). Using a quantile hedging approach, this paper provides an upper bound on the standard multiple m. This bound is statistically approximated by applying the extreme value theory to the study of...

Portfolio insurance allows investors to recover, at maturity, a given percentage of their initial capital. This limits downside risk in falling markets and allows some participation in rising markets. Therefore, these properties prove the importance of such portfolio strategies. The two standard...

We compare performances of the two standard portfolio insurance methods: the Option Based Portfolio Insurance (OBPI) and the Constant Proportion Portfolio Insurance (CPPI). First we examine basic properties of these two strategies and compare them by means of various criteria: comparison of...