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Monotonicity of savings function in Endogenous Gridpoint Method with stochastic portfolio returns

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  • Huang, Tiancheng
  • Khemka, Gaurav
  • Chong, Wing Fung

Abstract

This paper provides a comprehensive proof of monotonicity of the savings function in the application of the Method of Endogenous Gridpoints (EGM) to problems with stochastic portfolio returns. The proof contributes to the completeness of solutions by providing the sufficient condition for the application of EGM to problems with stochastic portfolio returns as seen in the literature.

Suggested Citation

  • Huang, Tiancheng & Khemka, Gaurav & Chong, Wing Fung, 2024. "Monotonicity of savings function in Endogenous Gridpoint Method with stochastic portfolio returns," Economics Letters, Elsevier, vol. 239(C).
    • Handle: RePEc:eee:ecolet:v:239:y:2024:i:c:s0165176524002234
    DOI: 10.1016/j.econlet.2024.111740
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    References listed on IDEAS

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    1. Alexander Ludwig & Matthias Schön, 2018. "Endogenous Grids in Higher Dimensions: Delaunay Interpolation and Hybrid Methods," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 463-492, March.
    2. White, Matthew N., 2015. "The method of endogenous gridpoints in theory and practice," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 26-41.
    3. Love, David & Phelan, Gregory, 2015. "Hyperbolic discounting and life-cycle portfolio choice," Journal of Pension Economics and Finance, Cambridge University Press, vol. 14(4), pages 492-524, October.
    4. Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June.
    5. Hintermaier, Thomas & Koeniger, Winfried, 2010. "The method of endogenous gridpoints with occasionally binding constraints among endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2074-2088, October.
    6. Shang Wu & Hazel Bateman & Ralph Stevens, 2023. "Optimal Portfolio Choice with Health-Contingent Income Products: The Value of Life Care Annuities," North American Actuarial Journal, Taylor & Francis Journals, vol. 27(2), pages 278-302, April.
    7. Iskhakov, Fedor, 2015. "Multidimensional endogenous gridpoint method: Solving triangular dynamic stochastic optimization problems without root-finding operations," Economics Letters, Elsevier, vol. 135(C), pages 72-76.
    8. Giulio Fella, 2014. "A generalized endogenous grid method for non-smooth and non-concave problems," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 329-344, April.
    9. Ralph S. J. Koijen & Theo E. Nijman & Bas J. M. Werker, 2010. "When Can Life Cycle Investors Benefit from Time-Varying Bond Risk Premia?," The Review of Financial Studies, Society for Financial Studies, vol. 23(2), pages 741-780, February.
    10. David A. Love, 2013. "Optimal Rules of Thumb for Consumption and Portfolio Choice," Economic Journal, Royal Economic Society, vol. 123, pages 932-961, September.
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