Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/301933 
Year of Publication: 
2024
Series/Report no.: 
New Zealand Treasury Working Paper No. 24/03
Publisher: 
New Zealand Government, The Treasury, Wellington
Abstract: 
This paper presents an efficient solution method for solving stochastic overlapping generations (S-OLG) models. We use the Chebyshev parameterized expectation algorithm (C-PEA) developed by Christiano and Fisher (2000) to solve the life cycle block of S-OLGs. The method is well suited for this family of models, capable of handling nonlinearities inherent in the life-cycle aspect of S-OLGSs, and occasionally binding constraints associated with borrowing constraints. We carefully examine practical considerations and describe how to efficiently implement this method. To illustrate the method's effectiveness, we apply it to solve a standard S-OLG model with idiosyncratic risk and two permanent types. We calculate Euler equation errors throughout the life cycle and measure computational time to demonstrate that C-PEA can perform well under these computational challenges with reasonable accuracy and efficiency. Our results show that, together with its scalability to higher dimensional problems, C-PEA can be a valuable tool for policy analysts and researchers working with S-OLG models.
Subjects: 
Chebyshev interpolation
Parameterized expectations
Overlapping generations models
JEL: 
C63
C68
E2
Creative Commons License: 
cc-by Logo
Document Type: 
Working Paper

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