Arbeitspapier
Finite dimensional Markovian realizations for stochastic volatility forward rate models
We consider forward rate rate models of HJM type, as well as more general infinite dimensional SDEs, where the volatility/diffusion term is stochastic in the sense of being driven by a separate hidden Markov process. Within this framework we use the previously developed Hilbert space realization theory in order provide general necessary and sufficent conditions for the existence of a finite dimensional Markovian realizations for the stochastic volatility models. We illustrate the theory by analyzing a number of concrete examples.
- Language
- 
                Englisch
 
- Bibliographic citation
- 
                Series: SSE/EFI Working Paper Series in Economics and Finance ; No. 498
 
- Classification
- 
                Wirtschaft
 Interest Rates: Determination, Term Structure, and Effects
 Contingent Pricing; Futures Pricing; option pricing
 
- Subject
- 
                HJM models
 stochastic volatility
 factor models
 forward rates
 state space models
 Markovian realizations
 infinite dimensional SDEs
 
- Event
- 
                Geistige Schöpfung
 
- (who)
- 
                Björk, Tomas
 Landén, Camilla
 Svensson, Lars
 
- Event
- 
                Veröffentlichung
 
- (who)
- 
                Stockholm School of Economics, The Economic Research Institute (EFI)
 
- (where)
- 
                Stockholm
 
- (when)
- 
                2002
 
- Handle
- Last update
- 
                
                    
                        10.03.2025, 11:44 AM CET
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Object type
- Arbeitspapier
Associated
- Björk, Tomas
- Landén, Camilla
- Svensson, Lars
- Stockholm School of Economics, The Economic Research Institute (EFI)
Time of origin
- 2002
 
        
    