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Proposta di corso nell’ambito del CdL Magistrale in Finance

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Proposta di corso nell’ambito del CdL Magistrale in Finance

Periodo: Secondo Semestre A.A. 2016/17 Durata: 40 ore.

Docenti: Salvatore Federico (20 ore) e Luca Regis (20 ore).

Titolo: Credit Risk modeling.

Programma I Introduction to Jump Processes.

Motivations: why jumps?

Poisson Processes: exponential random variables; construction of a Poisson process; distribution of increments; mean and vari- ance; martingale property.

Compound Poisson Process: construction; moment generating function.

Jump-diffusion processes and stochastic calculus: quadratic variation, integration, Ito-Doeblin Formula, change of measure.

Application: Pricing of European call in jump-diffusion models.

II Credit Risk models

Introduction to credit risk: corporate bonds, credit derivatives and credit risk management.

Default arrival modeling: firm value (structural) models.

Default arrival modeling: reduced form (intensity) models.

Pricing of defaultable corporate claims.

References

- S. Shreve, Stochastic Calculus for Finance II - Continuous time models, Springer, 2004.

- D. Duffie and K.J. Singleton, Credit Risk Pricing, Measurement, and Man- agement, Princeton University Press, 2003.

- D. Brigo, M. Morini and A. Pallavicini, Counterparty Credit Risk, Col- lateral and Funding: With Pricing Cases for All Asset Classes, Wiley Finance, 2013.

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