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Tianhao Zhao (3 Posts)

Patching utility functions

May 29, 2025 Tianhao Zhao

Some utility functions have singularity u(c) --> -infty as c-->0. CRRA utility, which is a good example, is one of the most popular specifications that…

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Understanding Sequence Space Jacobian (SSJ)

May 12, 2025 Tianhao Zhao

This post progressively introduces the idea and applications of sequence space Jacobian (SSJ) in model perturbation methods, specifically how to efficiently compute perfect foresight transition…

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Collocation with the presence of endogeneous Markovian risk

April 29, 2025 Tianhao Zhao

Tianhao Zhao The collocation method is widely used in macroeconomic modeling to approximate value functions (or policy functions) through interpolation techniques. This approach offers two…

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