Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/414
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Type: Journal article
Title: Stochastic flows and the forward measure
Author: Elliott, R.
Van Der Hoek, J.
Citation: Finance and Stochastics, 2001; 5(4):511-525
Publisher: Springer-Verlag
Issue Date: 2001
ISSN: 0949-2984
Statement of
Responsibility: 
Robert J. Elliott and John van der Hoek
Abstract: Stochastic flows and their Jacobians are used to show why, when the short rate process is described by Gaussian dynamics, (as in the Vasicek or Hull-White models), or square root, affine (Bessel) processes, (as in the Cox-Ingersoll-Ross, or Duffie-Kan models), the bond price is an exponential affine function. Using the forward measure the bond price is obtained by solving a linear ordinary differential equation; Ricatti equations are not required.
Keywords: Forward measure
exponential affine
bond pricing
Description: The original publication can be found at www.springerlink.com
DOI: 10.1007/s007800000039
Published version: http://www.springerlink.com/content/ejgg86m3a1b5909v/?p=61047200be9b49bd996507e7d57c9705&pi=4
Appears in Collections:Applied Mathematics publications
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