In this paper we consider the valuation of total return swaps (TRS). Since a total return swap is a collateralized derivative referencing the value process of an uncollateralized asset it is in general not possible that both counter parties agree on a unique value. Consequently it is not...

We consider the valuation and risk management of derivatives on defaultable assets such as bonds taking into account funding (FVA), cash collateral, underlying default, counterparty default (CVA) and default correlation using joint default poisson process. The framework can be considered as an...

We use a supervised deep convolution neural network to replicate the calibration of the Heston model to equity volatility surfaces. For this purpose we treat the implied volatility surface together with some auxiliary data, namely the strikes and moneyness of the corresponding options and the...

Value at Risk (VaR) and stressed value at Risk (SVaR) or expected shortfall are important risk measures widely used in the financial services industry for risk management and market risk capital computation. Fundamental to any (S)VaR model is the choice of the return type model for each risk...

This paper investigates the fair share of GDP required to mitigate climate change costs, using an extended DICE model. A dedicated fund, supplied annually by a fixed fraction of GDP, is introduced to cover abatement and damage costs. Numerical analysis reveals that a funding rate of 2.4% of GDP...

Looking at the valuation of a swap when funding costs and counterparty risk are neglected (i.e., when there is a unique risk free discounting curve), it is natural to ask "What is the discounting curve of a swap in the presence of funding costs, counterparty risk and/or collateralization". In...