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Quadratic Hedging Methods for Defaultable Claims
Authors:Francesca Biagini  Alessandra Cretarola
Affiliation:(1) Department of Mathematics, LMU, Theresienstr. 39, 80333 Munich, Germany;(2) Dipartimento di Scienze Economiche ed Aziendali (DPTEA), Luiss—Guido Carli University, via Tommasini, 1, 00162 Rome, Italy
Abstract:We apply the local risk-minimization approach to defaultable claims and we compare it with intensity-based evaluation formulas and the mean-variance hedging. We solve analytically the problem of finding respectively the hedging strategy and the associated portfolio for the three methods in the case of a default put option with random recovery at maturity.
Keywords:Defaultable markets  Intensity-based approach  Local risk-minimization  Minimal martingale measure  Mean-variance hedging
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