Quantitative analysis

Operational VAR: meaningful means

Making the assumption that the distribution of operational loss severity has finite mean, Klaus Böcker and Jacob Sprittulla suggest a refined version of the analytical operational value-at-risk theorem derived in Böcker & Klüppelberg (2005), which…

The saddlepoint method and portfolio optionalities

Richard Martin describes the application of saddlepoint methods to the calculation of tranche payouts and expected shortfall in loss distributions. Aside from computational use in their own right, the resulting formulas motivate a forthcoming discussion…

Maximum draw-down and directional trading

Maximum draw-down measures the worst drop in a market in a given time period. Jan Vecer shows how to price and replicate this event. Replication can be naturally linked to existing popular trading strategies, such as momentum or contrarian trading

Cutting edges using domain integration

Zhengyun Hu, Jeroen Kerkhof, Paul McCloud and Jorg Wackertapp present the semi-analytic lattice integrator tree, a domain integrator method for pricing derivatives. This method can eliminate almost all numerical noises in derivatives pricing, and…

Optimising omega

Optimising a portfolio's omega generally requires non-linear optimisation methods. Helmut Mausser, David Saunders and Luis Seco show that, under suitable conditions, a simple change of variables transforms the problem into a linear program that is much…

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