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FS
2010
163views more  FS 2010»
13 years 8 months ago
On optimal portfolio diversification with respect to extreme risks
Extreme losses of portfolios with heavy-tailed components are studied in the framework of multivariate regular variation. Asymptotic distributions of extreme portfolio losses are ...
Georg Mainik, Ludger Rüschendorf
FS
2010
162views more  FS 2010»
13 years 10 months ago
Can the implied volatility surface move by parallel shifts?
This note explores the analogy between the dynamics of the interest rate term structure and the implied volatility surface of a stock. In particular, we prove an impossibility theo...
L. C. G. Rogers, Michael Tehranchi
FS
2010
95views more  FS 2010»
13 years 10 months ago
Pricing credit derivatives under incomplete information: a nonlinear-filtering approach
This paper considers a general reduced form pricing model for credit derivatives where default intensities are driven by some factor process X. The process X is not directly observ...
Rüdiger Frey, Wolfgang Runggaldier
FS
2010
148views more  FS 2010»
13 years 10 months ago
Option hedging for small investors under liquidity costs
Following the framework of C¸etin, Jarrow and Protter [4] we study the problem of super-replication in presence of liquidity costs under additional restrictions on the gamma of th...
Umut Çetin, H. Mete Soner, Nizar Touzi
FS
2010
138views more  FS 2010»
13 years 10 months ago
Hedging variance options on continuous semimartingales
We find robust model-free hedges and price bounds for options on the realized variance of [the returns on] an underlying price process. Assuming only that the underlying process ...
Peter Carr, Roger Lee
FS
2010
110views more  FS 2010»
13 years 10 months ago
A generalization of Panjer's recursion and numerically stable risk aggregation
Portfolio credit risk models as well as models for operational risk can often be treated analogously to the collective risk model coming from insurance. Applying the classical Panj...
Stefan Gerhold, Uwe Schmock, Richard Warnung
FS
2010
458views more  FS 2010»
13 years 10 months ago
Risk-neutral compatibility with option prices
Jean Jacod, Philip Protter
FS
2010
120views more  FS 2010»
13 years 10 months ago
From implied to spot volatilities
Valdo Durrleman