Risk Managing Bermudan Swaptions in the Libor BGM Model
AbstractThis article presents a novel approach for calculating swap vega per bucket in the Libor BGM model. We show that for some forms of the volatility an approach based on re-calibration may lead to a large uncertainty in estimated swap vega, as the instantaneous volatility structure may be distorted by re-calibration. This does not happen in the case of constant swap rate volatility. We then derive an alternative approach, not based on re-calibration, by comparison with the swap market model. The strength of the method is that it accurately estimates vegas for any volatility function and at a low number of simulation paths. The key to the method is that the perturbation in the Libor volatility is distributed in a clear, stable and well understood fashion, whereas in the re-calibration method the change in volatility is hidden and potentially unstable.
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Bibliographic InfoPaper provided by EconWPA in its series Finance with number 0502004.
Length: 22 pages
Date of creation: 11 Feb 2005
Date of revision:
Note: Type of Document - pdf; pages: 22
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central interest rate model; Libor BGM model; swaption vega; risk management; swap market model; Bermudan swaption;
Other versions of this item:
- Pietersz, R. & Pelsser, A.A.J., 2003. "Risk managing bermudan swaptions in the libor BGM model," Econometric Institute Research Papers EI 2003-33, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-04-16 (All new papers)
- NEP-FIN-2005-04-16 (Finance)
- NEP-RMG-2005-04-16 (Risk Management)
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