Abstract
This paper relates to an approach described in [6] which, for the pricing of bonds and bond derivatives, is alternative to the classical approach that involves martingale measures and is based on the solution of a stochastic control problem, thereby avoiding a change of measure. It turns out that this approach can be extended to various situations where traditionally a change of measure is involved via a change of numeraire. In the present paper we study this extension for the case of Swap measures that are relevant in the classical approach to the pricing of Swaps and Swaptions.
Mathematics Subject Classification (2010). Primary 91B28; Secondary 93E20.
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References
T. Björk, Arbitrage Theory in Continuous Time. Oxford University Press, 2004.
D. Brigo and F. Mercurio, Interest Rate Models. Springer-Verlag, Berlin, 2006.
A. Friedman, Stochastic Differential Equations and Applications, Vol. 1. Academic Press, 1975.
W. Fleming, Logarithmic transformations and stochastic control. In Advances in Filtering and Optimal Stochastic Control, Lecture Notes in Control and Information Sciences, Springer, Berlin, (1982).
W. Fleming and R. Rishel, Deterministic and Stochastic Optimal Control. Springer- Verlag, Berlin, 1975.
A. Gombani and W.J. Runggaldier, Arbitrage-free multifactor term structure models: a theory based on stochastic control. Preprint, 2011, to appear in Mathematical Finance, (online first 19/06/2012).
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Cogo, R., Gombani, A., Runggaldier, W.J. (2013). Stochastic Control and Pricing Under Swap Measures. In: Dalang, R., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications VII. Progress in Probability, vol 67. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0545-2_18
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DOI: https://doi.org/10.1007/978-3-0348-0545-2_18
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0544-5
Online ISBN: 978-3-0348-0545-2
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