The purpose of this paper is introducing rigorous methods and formulas for bilateral counterparty risk credit valuation adjustments (CVA's) on interest-rate portfolios. In doing so, we summarize the general arbitrage-free valuation framework for counterparty risk adjustments in presence of...

This paper deals with the impact of the $/€ exchange rate on German exports in the period from 1995Q1 to 2008Q4. Our main aim is to identify pain thresholds for German exporters. We rely on a non-linear model according to which suddenly strong spurts of exports occur when changes of the EXR go...

This paper deals with the impact of the $/€ exchange rate on German exports in the period from 1995Q1 to 2008Q4. Our main aim is to identify "pain thresholds" for German exporters. We rely on a non-linear model according to which suddenly strong spurts of exports occur when changes of the EXR...

Local volatility models are widely used to manage many exotic options in a way consistent with available market prices of vanilla options. Once calibrated, a local volatility grid can be used in numerical methods such as PDE or Monte Carlo to price and hedge exotic options consistently with...

It is well-known that the market prices of options produce implied volatilities that inexplicably vary by exercise price in a pattern often referred to as the volatility smile. This paper shows that not only do market prices produce volatility smiles, but so do model prices. This result occurs...

We construct a multi-agent system (MAS) model of cyclical growth in which aggregate fluctuations result from variations in activity at firm level. The latter, in turn, result from changes in the state of long run expectations (SOLE) or “animal spirits” and their effect on firms' investment...

In this document we consider the problem of deriving volatilities of non-standard tenors given quotes for standard tenors. Especially, we aim to derive volatilities for caps and swaptions from given quotes for a short tenor, for instance 3m, and derive volatilties for a longer tenor, for...

This paper calculates option portfolio Value at Risk (VaR) using Monte Carlo simulation under a risk neutral stochastic implied volatility model. Compared to benchmark delta-normal method, the model produces more accurate results by taking into account nonlinearity, passage of time,...

We address the inverse problem of local volatility surface calibration from market given option prices. We integrate the ever-increasing ow of option price information into the well-accepted local volatility model of Dupire. This leads to considering both the local volatility surfaces and their...

In this article, we show how to calibrate the widely-used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of static arbitrage. In particular, we exhibit a large class of arbitrage-free SVI volatility surfaces with a simple closed-form...