We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on cash-additive risk measures, for which the eligible asset is a...

We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general eligible assets, including defaultable bonds. Since the...

This note highlights the impact of changing the aggregation currency when testing for capital adequacy. This is exemplified using the two most prominent capital adequacy tests used in the financial industry: Value-at-Risk and Expected Shortfall. The test consists in establishing whether the...

• The first ever explicit formulation of the concept of an option's probability density functions has been introduced in our publications "Breakthrough in Understanding Derivatives and Option Based Hedging - Marginal and Joint Probability Density Functions of Vanilla Options -- True...

Stop-loss and limited loss random variables are two important transforms of a loss random variable and appear in many modelling problems in insurance, finance, and other fields. Risk levels of a loss variable and its transforms are often measured by risk measures. When only partial information...

Monetary risk measures classify a financial position by the minimal amount of external capital that must be added to the position to make it acceptable.We propose a new concept: intrinsic risk measures. The definition via external capital is avoided and only internal resources appear. An...

With the recent development of the European debt crisis, traditional index bond management has been severely called into question. We focus here on the risk issues raised by the classical market-capitalization weighting scheme. We propose an approach to properly measure sovereign credit risk in...

This article derives a new formula for the yield elasticity of bond price. The formula provides accurate results without resorting to complex mathematics, and gives new meaning to the concept of duration in fixed-income analysis

Floating rate bonds are coupon-paying instruments generally indexed to interest parameters. At the trading date, the payment dates and indexation rules are known, while the value of future coupons is uncertain. In this perspective, floating rate bonds are generally seen as a portfolio of zero...