Guarantees embedded variable annuity contracts exhibit option-like payoff features and the pricing of such instruments naturally leads to risk neutral valuation techniques. This paper considers the pricing of two types of guarantees; namely, the Guaranteed Minimum Maturity Benefit and the...

This paper introduces the CORE methodology for managing risk of multi-market central-counterparties. CORE generalizes the classical SPAN method of stress scenarios by incorporating explicitly market liquidity of listed instruments and modeling the liquidity pro file of OTC instruments and the...

We introduce a model-free approach based on {\it excursions} of trading signals for analyzing the risk and return for a broad class of dynamic trading strategies, including pairs trading and other statistical arbitrage strategies. We propose a mathematical framework for the risk analysis of such...

We present a pathwise approach to continuous-time finance, based on causal functional calculus. Our framework does not rely on any probabilistic concept. We introduce a definition of continuous-time self-financing portfolios which does not rely on any integration concept and show that the value...