Showing 1 - 10 of 53
The standard approach to solving linear DSGE models is to apply the QZ method. It is a one-shot algorithm that leaves the researcher with little alternative than to seek a different algorithm should the result be numerically unsatisfactory. We develop an iterative implementation of QZ that...
Persistent link: https://www.econbiz.de/10015206920
This paper demonstrates a failure of standard, generalized Schur (orQZ) decomposition based solutions methods for linear dynamic stochastic general equilibrium (DSGE) models when there is insufficient eigenvalue separation about the unit circle. The significance of this is demonstrated in a...
Persistent link: https://www.econbiz.de/10012483338
This paper presents and compares Newton-based methods from the applied mathematics literature for solving the matrix quadratic that underlies the recursive solution of linear DSGE models. The methods are compared using nearly 100 different models from the Macroeconomic Model Data Base (MMB) and...
Persistent link: https://www.econbiz.de/10013368452
Persistent link: https://www.econbiz.de/10014548144
This paper applies structure preserving doubling methods to solve the matrix quadratic underlying the recursive solution of linear DSGE models. We present and compare two Structure-Preserving Doubling Algorithms (SDAs) to other competing methods - the QZ method, a Newton algorithm, and an...
Persistent link: https://www.econbiz.de/10014444739
This paper presents and compares Bernoulli iterative approaches for solving linear DSGE models. The methods are compared using nearly 100 different models from the Macroeconomic Model Data Base (MMB) and different parameterizations of the monetary policy rule in the medium-scale New Keynesian...
Persistent link: https://www.econbiz.de/10014252497
In this note we provide an alternative proof that the Heston asset price process converges to the Normal Inverse Gaussian (NIG) distribution in the large-time limit in a certain sense. Our proof, which is based on the convergence of conditional time-integrated variance to the Inverse Gaussian...
Persistent link: https://www.econbiz.de/10014193143
We introduce a new stochastic volatility model that includes, as special instances, the Heston (1993) and the 3/2 model of Heston (1997) and Platen (1997). Our model exhibits important features: first, instantaneous volatility can be uniformly bounded away from zero, and second, our model is...
Persistent link: https://www.econbiz.de/10013005668
This thesis presents our study on using the hybrid stochastic-local volatility model for option pricing. Many researchers have demonstrated that stochastic volatility models cannot capture the whole volatility surface accurately, although the model parameters have been calibrated to replicate...
Persistent link: https://www.econbiz.de/10013006700
Phase-type distribution has been one of the most important probabilistic tools in the analysis of complex stochastic system evolution. However, in their empirical study, Frydman (2005) and Frydman and Schuermann (2008) found that the inclusion of available credit rating information helps improve...
Persistent link: https://www.econbiz.de/10012965202