Stern School of Business >
Finance Working Papers >
Please use this identifier to cite or link to this item:
|Title: ||Discrete-time Dynamic Term Structure Models with Generalized Market Prices of Risk|
|Authors: ||Dai, Qiang|
Singleton, Kenneth J.
|Issue Date: ||7-Mar-2006|
|Series/Report no.: ||FIN-06-007|
|Abstract: ||This paper develops a rich class of discrete-time, nonlinear dynamic term structure models (DTSMs). Under the risk-neutral measure, the distribution of the state vector Xt resides within a family of discrete-time affine processes that nests the exact discrete-time counter parts of the entire class of continuous-time models in Duffie and Kan (1996) and Dai and Singleton (2000). Moreover, we allow the market price of risk ¤t, linking the risk-neutral and historical distributions of X, to depend generally on the state Xt. The conditional
likelihood functions for coupon bond yields for the resulting nonlinear models under the
historical measure are known exactly in closed form. As an illustration of our approach, we estimate a three factor model with a cubic term in the drift of the stochastic volatility factor and compare it to a model with a linear drift. Our results show that inclusion of a cubic term in the drift significantly improves the models statistical fit as well as its out-of-sample
|Appears in Collections:||Finance Working Papers|
Items in Faculty Digital Archive are protected by copyright, with all rights reserved, unless otherwise indicated.