Technical paper

Pricing options on film revenue

This article illustrates two models for cumulative revenues from films, a time-changed gamma process and a compound Poisson process, and how these models can be used to price options. Don Chance, Eric Hillebrand and Jimmy Hilliard find that while both…

Inflation modelling with SABR dynamics

Fabio Mercurio and Nicola Moreni introduce a new forward Consumer Price Index model that is based on a multi-factor volatility structure and leads to SABR-like dynamics for forward inflation rates. Their approach reconciles zero-coupon and year-on-year…

A dynamic model for hard-to-borrow stocks

Traders with short positions in stocks that are subject to short-selling restrictions risk being 'bought in', in the sense that their positions may be closed out by the clearing firm at market prices. Marco Avellaneda and Mike Lipkin present a model for…

Robust asset allocation under model risk

Financial investors often develop a multitude of models to explain financial securities' dynamics, none of which they can fully trust. Model risk (also referred to as ambiguity) prevents investors from using the classical framework of expected utility…

Joining the SABR and Libor models together

Fabio Mercurio and Massimo Morini propose a Libor market model consistent with SABR dynamics and develop approximations that allow for the use of the SABR formula with modified inputs. They verify that the approximations are acceptably precise, imply…

Pricing options on film revenue

This article illustrates two models for cumulative revenues from films, a time-changed gamma process and a compound Poisson process, and how these models can be used to price options. Don Chance, Eric Hillebrand and Jimmy Hilliard find that while both…