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Markov-Chain Approximations for Life-Cycle Models

Author

Listed:
  • Giulio Fella

    (Queen Mary University of London)

  • Giovanni Gallipoli

    (University of British Columbia)

  • Jutong Pan

    (University of British Columbia)

Abstract

Non-stationary income processes are standard in quantitative life-cycle models, prompted by the observation that within-cohort income inequality increases with age. This paper generalizes Tauchen (1986) and Rouwenhorst's (1995) discretization methods to non-stationary AR(1) processes. We evaluate the performance of both methods in the context of a canonical finite-horizon, income-uctuation problem with a non-stationary income process. We find that the generalized Rouwenhorst's method performs extremely well even with a relatively small number of states.

Suggested Citation

  • Giulio Fella & Giovanni Gallipoli & Jutong Pan, 2017. "Markov-Chain Approximations for Life-Cycle Models," Working Papers 827, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:827
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    Cited by:

    1. Pierri, Damian Rene & Montes Rojas, Gabriel & Mira, José, 2020. "Persistent current account deficits and balance of payments crises," UC3M Working papers. Economics 34239, Universidad Carlos III de Madrid. Departamento de Economía.
    2. Damián Pierri & Gabriel Montes Rojas & Pablo Mira Lambi, 2019. "The Empirical Dimension of Overborrowing," Documentos de trabajo del Instituto Interdisciplinario de Economía Política IIEP (UBA-CONICET) 2019-45, Universidad de Buenos Aires, Facultad de Ciencias Económicas, Instituto Interdisciplinario de Economía Política IIEP (UBA-CONICET).
    3. Mariacristina De Nardi & Giulio Fella & Gonzalo Paz-Pardo, 2020. "Nonlinear Household Earnings Dynamics, Self-Insurance, and Welfare," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 890-926.
    4. Hanno Foerster, 2019. "Untying the Knot: How Child Support and Alimony Affect Couples' Decisions and Welfare," CRC TR 224 Discussion Paper Series crctr224_2019_115v2, University of Bonn and University of Mannheim, Germany.
    5. Hanno Foerster, 2019. "The Impact of Post-Marital Maintenance on Dynamic Decisions and Welfare of Couples," Boston College Working Papers in Economics 982, Boston College Department of Economics.
    6. Hong, Seungki, 2023. "MPCs in an emerging economy: Evidence from Peru," Journal of International Economics, Elsevier, vol. 140(C).
    7. Fabio Blasutto, 2024. "Cohabitation vs. Marriage: Mating Strategies by Education in The USA," Journal of the European Economic Association, European Economic Association, vol. 22(4), pages 1723-1761.
    8. Keyvan Eslami & Tom Phelan, 2023. "The Art of Temporal Approximation An Investigation into Numerical Solutions to Discrete and Continuous-Time Problems in Economics," Working Papers 23-10, Federal Reserve Bank of Cleveland.
    9. Robert Kirkby, 2025. "Discretizing earnings dynamics: implications of Gaussian-mixture shocks for life-cycle models," The Japanese Economic Review, Springer, vol. 76(2), pages 493-519, April.
    10. Keyvan Eslami & Thomas Phelan, 2025. "The Art of Temporal Approximation: An Investigation into Numerical Solutions to Discrete- and Continuous-Time Problems in Economics," Computational Economics, Springer;Society for Computational Economics, vol. 65(3), pages 1505-1547, March.
    11. Robert Kirkby, 2023. "Quantitative Macroeconomics: Lessons Learned from Fourteen Replications," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 875-896, February.

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    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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