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20112025
most citedLong vs Short Time Scales: the Rough Dilemma and Beyond

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q-fin.PR2018

A Consistent Stochastic Model of the Term Structure of Interest Rates for Multiple Tenors

Mesias Alfeus, Martino Grasselli, Erik Schlögl

Explicitly taking into account the risk incurred when borrowing at a shorter tenor versus lending at a longer tenor ("roll-over risk"), we construct a stochastic model framework fo…

q-fin.PR2016

A Penny Saved is a Penny Earned: Less Expensive Zero Coupon Bonds

Alessandro Gnoatto, Martino Grasselli, Eckhard Platen

In this paper we show how to hedge a zero coupon bond with a smaller amount of initial capital than required by the classical risk neutral paradigm, whose (trivial) hedging strateg…

q-fin.PR2013

An analytic multi-currency model with stochastic volatility and stochastic interest rates

Alessandro Gnoatto, Martino Grasselli

We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evoluti…

q-fin.PR2012

A flexible matrix Libor model with smiles

José Da Fonseca, Alessandro Gnoatto, Martino Grasselli

We present a flexible approach for the valuation of interest rate derivatives based on Affine Processes. We extend the methodology proposed in Keller-Ressel et al. (2009) by changi…

q-fin.PR2012

Smiles all around: FX joint calibration in a multi-Heston model

Alvise De Col, Alessandro Gnoatto, Martino Grasselli

We introduce a novel multi-factor Heston-based stochastic volatility model, which is able to reproduce consistently typical multi-dimensional FX vanilla markets, while retaining th…

q-fin.PR2011

The explicit Laplace transform for the Wishart process

Alessandro Gnoatto, Martino Grasselli

We derive the explicit formula for the joint Laplace transform of the Wishart process and its time integral which extends the original approach of Bru. We compare our methodology w…