We analyse the profit-and-loss (P&L) of delta-hedging strategies for vanilla options in the presence of the implied volatility skew and derive an approximation for the P&L under the quadratic parametrization of the implied volatility. We apply this approximation to study the P&L of a straddle, a...

This paper proposes a method to evaluate if risk is adequately accounted for in the Morningstar rating system. The analysis is based on the comparison between the rating obtained ignoring the risk component and those obtained increasing the weight of risk and, in particular, for the level of...

Microfinance has been on the development agenda for more than 30 years, heralded as the wondrous tool that reduces poverty and empowers women (Hulme and Mosley, 1996; Rutherford, 2001; Morduch and Haley, 2002; Khandker, 1998). Doubts, however, have recently been raised about the success of microfinance...

Probabilistic preference models predict that a subject makes different choices with different probabilities in repeatedly experiments with the same stimuli. This paper explains why. First, we prove that a gamble is a statistical ensemble or sample function of a random field with canonical...

We investigate the effect of including variance derivatives as calibration and hedging instruments for pricing and hedging exotic structures. This is studied empirically using market data for SPX and VIX derivatives applied in a stochastic volatility jump diffusion model

After Lehman default (credit crisis which started in 2007), practitioners considered the default risk as a major risk. The Industry began to charge for the default risk of any derivatives. In this article we try to extend the work of V.Piterbarg who established the fundamental of a new world in...

The Autocallable is a strutured product which involve payment of more or less exotic coupons until a callable event. The Digital risk at each coupon payment date induces hedge difficulties. Indeed, closer to the trigger event, the trader faces hedging difficulties at each fixing between the...

This paper investigates whether there is any ‘hidden value' other than the calculated one using traditional valuation techniques (TVTs). In order to extract the hidden value, the real option technique (ROT) is used for valuation purposes. Using ROT, this empirical study confirms that MTN Group...

We study the local volatility function in the Foreign Exchange market where both domestic and foreign interest rates are stochastic. This model is suitable to price long-dated FX derivatives. We derive the local volatility function and obtain several results that can be used for the calibration...

We investigate correlations of asset returns in stress scenarios where a common risk factor is truncated. Our analysis is performed in the class of normal variance mixture (NVM) models, which encompasses many distributions commonly used in financial modelling. For the special cases of jointly...