Nonparametric pricing of interest rate derivative securities

We propose a nonparametric estimation procedure for continuous- time stochastic models. Because prices of derivative securities depend crucially on the form of the instantaneous volatility of the underlying process, we leave the volatility function unrestricted and estimate it nonparametrically. Onl...

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1. Verfasser: Aït-Sahalia, Yacine (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cambridge, Mass. 1995
Schriftenreihe:National Bureau of Economic Research <Cambridge, Mass.>: NBER working paper series 5345
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490 1 |a National Bureau of Economic Research <Cambridge, Mass.>: NBER working paper series  |v 5345 
520 |a We propose a nonparametric estimation procedure for continuous- time stochastic models. Because prices of derivative securities depend crucially on the form of the instantaneous volatility of the underlying process, we leave the volatility function unrestricted and estimate it nonparametrically. Only discrete data are used but the estimation procedure still does not rely on replacing the continuous- time model by some discrete approximation. Instead the drift and volatility functions are forced to match the densities of the process. We estimate the stochastic differential equation followed by the short term interest rate and compute nonparametric prices for bonds and bond options. 
650 4 |a Mathematisches Modell 
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series National Bureau of Economic Research <Cambridge, Mass.>: NBER working paper series
series2 National Bureau of Economic Research <Cambridge, Mass.>: NBER working paper series
spellingShingle Aït-Sahalia, Yacine
Nonparametric pricing of interest rate derivative securities
National Bureau of Economic Research <Cambridge, Mass.>: NBER working paper series
Mathematisches Modell
Derivative securities Mathematical models
Fixed-income securities Valuation Mathematical models
Interest rates Mathematical models
Securities Valuation Mathematical models
title Nonparametric pricing of interest rate derivative securities
title_auth Nonparametric pricing of interest rate derivative securities
title_exact_search Nonparametric pricing of interest rate derivative securities
title_full Nonparametric pricing of interest rate derivative securities Yacine Aït-Sahalia
title_fullStr Nonparametric pricing of interest rate derivative securities Yacine Aït-Sahalia
title_full_unstemmed Nonparametric pricing of interest rate derivative securities Yacine Aït-Sahalia
title_short Nonparametric pricing of interest rate derivative securities
title_sort nonparametric pricing of interest rate derivative securities
topic Mathematisches Modell
Derivative securities Mathematical models
Fixed-income securities Valuation Mathematical models
Interest rates Mathematical models
Securities Valuation Mathematical models
topic_facet Mathematisches Modell
Derivative securities Mathematical models
Fixed-income securities Valuation Mathematical models
Interest rates Mathematical models
Securities Valuation Mathematical models
volume_link (DE-604)BV002801238
work_keys_str_mv AT aitsahaliayacine nonparametricpricingofinterestratederivativesecurities