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Finance[HullWhiteModel] - create Hull-White interest rate model
Calling Sequence
HullWhiteModel(theta, alpha, sigma)
Parameters
theta
-
observed term structure of interest rates
alpha
speed of mean reversion (see description)
sigma
volatility parameter (see description)
Description
The HullWhiteModel command creates a Hull-White model with the specified parameters. Under this model the short rate process has the following dynamics with respect to the risk-neutral measure.
Compatibility
The Finance[HullWhiteModel] command was introduced in Maple 15.
For more information on Maple 15 changes, see Updates in Maple 15.
Examples
Here is the corresponding short-rate tree.
See Also
Finance[BlackScholesProcess], Finance[CoxIngersollRossModel], Finance[OrnsteinUhlenbeckProcess], Finance[PathGenerator], Finance[SamplePath], Finance[ShortRateProcess], Finance[ShortRateTree], Finance[VasicekModel]
References
Brigo, D., Mercurio, F., Interest Rate Models: Theory and Practice, New York: Springer-Verlag, 2001.
Glasserman, P., Monte Carlo Methods in Financial Engineering, New York: Springer-Verlag, 2004.
Hull, J., Options, Futures, and Other Derivatives, 5th. edition, Upper Saddle River, New Jersey: Prentice Hall, 2003.
Vasicek, O.A., An Equilibrium Characterization of the Term Structure, Journal of Financial Economics, 5 (1977), pp 177-188.
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