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Persistent link: https://www.econbiz.de/10005041735
One of the key features differentiating methods of calibrating the lognormal LIBOR Market Model (LMM) to observed at-the-money option prices is the way in which these methods handle correlation between forward rates of different maturities. On the basis of the Pedersen (1998) calibration...
Persistent link: https://www.econbiz.de/10012739839
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Persistent link: https://www.econbiz.de/10008749176
Alternative approaches to hedging swaptions are explored and tested by simulation. Hedging methods implied by the Black swaption formula are compared with a lognormal forward LIBOR model approach encompassing all the relevant forward rates. The simulation is undertaken within the LIBOR model...
Persistent link: https://www.econbiz.de/10012743392
This paper examines the pricing of interest rate derivatives when the interest rate dynamics experience infrequent jump shocks modelled as a Poisson process. The pricing framework adapted was developed by Chiarella and Nikitopoulos to provide an extension of the Heath, Jarrow and Morton model to...
Persistent link: https://www.econbiz.de/10005495381
The phenomenon of the frequency basis (i.e. a spread applied to one leg of a swap to exchange one oating interest rate for another of a different tenor in the same currency) contradicts textbook no-arbitrage conditions and has become an important feature of interest rate markets since the...
Persistent link: https://www.econbiz.de/10011163379
This paper examines the pricing of interest rate derivatives when the interest rate dynamics experience infrequent jump shocks modelled as a Poisson process and within the Markovian HJM framework developed in Chiarella & Nikitopoulos (2003). Closed form solutions for the price of a bond option...
Persistent link: https://www.econbiz.de/10004984560
The objective of this paper is to consider defaultable term structure models in a general setting beyond standard risk-neutral models. Using as numeraire the growth optimal portfolio, defaultable interest rate derivatives are priced under the real-world probability measure. Therefore, the...
Persistent link: https://www.econbiz.de/10004984578
A joint model of commodity price and interest rate risk is constructed analogously to the multi-currency LIBOR Market Model (LMM). Going beyond a simple "re-interpretation" of the multi-currency LMM, issues arising in the application of the model to actual commodity market data are specifically...
Persistent link: https://www.econbiz.de/10008492105