An Alternative Interest Rate Term Structure Model
AbstractThis paper proposes an alternative approach to the modeling of the interest rate term structure. It suggests that the total market price for risk is an important factor that has to be modeled carefully. The growth optimal portfolio, which is characterized by this factor, is used as reference unit or benchmark for obtaining a consistent price system. Benchmarked derivative prices are taken as conditional expectations of future benchmarked prices under the real world probability measure. The inverse of the squared total market price for risk is modeled as a square root process and shown to influence the medium and long term forward rates. With constant parameters and constant short rate the model already generates a hump shaped mean for the forward rate curve and other empirical features typically observed.
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Bibliographic InfoArticle provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.
Volume (Year): 08 (2005)
Issue (Month): 06 ()
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Web page: http://www.worldscinet.com/ijtaf/ijtaf.shtml
Other versions of this item:
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Hardy Hulley & Shane Miller & Eckhard Platen, 2005. "Benchmarking and Fair Pricing Applied to Two Market Models," Research Paper Series 155, Quantitative Finance Research Centre, University of Technology, Sydney.
- Shane Miller & Eckhard Platen, 2004.
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EERI_RP_2009_13, Economics and Econometrics Research Institute (EERI), Brussels.
- El Qalli, Yassine, 2009. "Term Structure Equations Under Benchmark Framework," MPRA Paper 15667, University Library of Munich, Germany.
- Nicola Bruti-Liberati & Christina Nikitopoulos-Sklibosios & Eckhard Platen & Erik Schlogl, 2009. "Alternative Defaultable Term Structure Models," Research Paper Series 242, Quantitative Finance Research Centre, University of Technology, Sydney.
- Shane Miller & Eckhard Platen, 2008.
"Analytic Pricing of Contingent Claims Under the Real-World Measure,"
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216, Quantitative Finance Research Centre, University of Technology, Sydney.
- Shane M. Miller & Eckhard Platen, 2008. "Analytic Pricing Of Contingent Claims Under The Real-World Measure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(08), pages 841-867.
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