IDEAS home Printed from https://ideas.repec.org/b/spr/mathfi/v18y2024i4d10.1007_s11579-024-00369-9.html
   My bibliography  Save this book

Age-dependent robust strategic asset allocation with inflation–deflation hedging demand

Author

Listed:
  • Kentaro Kikuchi

    (Shiga University)

  • Koji Kusuda

    (Shiga University)

Abstract

This study analyzes robust strategic asset allocation under a quadratic security market model with stochastic volatility and inflation rates assuming “age-dependent robust utility” in which relative ambiguity aversion is a decreasing function of age. We show that, unlike homothetic robust utility, age-dependent robust utility cannot be interpreted as homothetic stochastic differential utility. We consider the finite-time consumption-investment problem and derive a linear approximate optimal robust portfolio candidate decomposed into myopic, intertemporal hedging, and inflation–deflation hedging demands. Our numerical analysis of the approximate optimal allocation to the S &P500 shows modest hump-shaped age effects, similar to the results of a previous empirical analysis, and that the upswing is due to the increase in myopic demand, while the downswing is due to the decrease in intertemporal hedging demand.

Suggested Citation

  • Kentaro Kikuchi & Koji Kusuda, 2024. "Age-dependent robust strategic asset allocation with inflation–deflation hedging demand," Mathematics and Financial Economics, Springer, volume 18, number 4, February.
  • Handle: RePEc:spr:mathfi:v:18:y:2024:i:4:d:10.1007_s11579-024-00369-9
    DOI: 10.1007/s11579-024-00369-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11579-024-00369-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11579-024-00369-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," The Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
    2. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 271-295, June.
    3. Michael W. Brandt, 1999. "Estimating Portfolio and Consumption Choice: A Conditional Euler Equations Approach," Journal of Finance, American Finance Association, vol. 54(5), pages 1609-1645, October.
    4. Branger, Nicole & Larsen, Linda Sandris & Munk, Claus, 2013. "Robust portfolio choice with ambiguity and learning about return predictability," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1397-1411.
    5. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 243-288, March.
    6. Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June.
    7. Michael J. Brennan & Yihong Xia, 2002. "Dynamic Asset Allocation under Inflation," Journal of Finance, American Finance Association, vol. 57(3), pages 1201-1238, June.
    8. Maenhout, Pascal J., 2006. "Robust portfolio rules and detection-error probabilities for a mean-reverting risk premium," Journal of Economic Theory, Elsevier, vol. 128(1), pages 136-163, May.
    9. Antonios Sangvinatsos & Jessica A. Wachter, 2005. "Does the Failure of the Expectations Hypothesis Matter for Long‐Term Investors?," Journal of Finance, American Finance Association, vol. 60(1), pages 179-230, February.
    10. Filipović, Damir & Gourier, Elise & Mancini, Loriano, 2016. "Quadratic variance swap models," Journal of Financial Economics, Elsevier, vol. 119(1), pages 44-68.
    11. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    12. Schroder, Mark & Skiadas, Costis, 1999. "Optimal Consumption and Portfolio Selection with Stochastic Differential Utility," Journal of Economic Theory, Elsevier, vol. 89(1), pages 68-126, November.
    13. Bo Yi & Frederi Viens & Baron Law & Zhongfei Li, 2015. "Dynamic portfolio selection with mispricing and model ambiguity," Annals of Finance, Springer, vol. 11(1), pages 37-75, February.
    14. Kentaro Kikuchi, 2024. "A term structure interest rate model with the Brownian bridge lower bound," Annals of Finance, Springer, vol. 20(3), pages 301-328, September.
    15. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    16. Jun Liu, 2007. "Portfolio Selection in Stochastic Environments," The Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 1-39, January.
    17. Nina Boyarchenko & Sergei Levendorskiǐ, 2007. "The Eigenfunction Expansion Method In Multi‐Factor Quadratic Term Structure Models," Mathematical Finance, Wiley Blackwell, vol. 17(4), pages 503-539, October.
    18. Claus Munk & Alexey Rubtsov, 2014. "Portfolio management with stochastic interest rates and inflation ambiguity," Annals of Finance, Springer, vol. 10(3), pages 419-455, August.
    19. Bolorsuvd Batbold & Kentaro Kikuchi & Koji Kusuda, 2022. "Semi-analytical solution for consumption and investment problem under quadratic security market model with inflation risk," Mathematics and Financial Economics, Springer, volume 16, number 4, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bolorsuvd Batbold & Kentaro Kikuchi & Koji Kusuda, 2022. "Semi-analytical solution for consumption and investment problem under quadratic security market model with inflation risk," Mathematics and Financial Economics, Springer, volume 16, number 4, February.
    2. Larsen, Linda Sandris & Munk, Claus, 2012. "The costs of suboptimal dynamic asset allocation: General results and applications to interest rate risk, stock volatility risk, and growth/value tilts," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 266-293.
    3. Maenhout, Pascal J., 2006. "Robust portfolio rules and detection-error probabilities for a mean-reverting risk premium," Journal of Economic Theory, Elsevier, vol. 128(1), pages 136-163, May.
    4. Guidolin, Massimo & Timmermann, Allan, 2007. "Asset allocation under multivariate regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3503-3544, November.
    5. John H. Cochrane, 2014. "A Mean-Variance Benchmark for Intertemporal Portfolio Theory," Journal of Finance, American Finance Association, vol. 69(1), pages 1-49, February.
    6. Jessica A. Wachter, 2010. "Asset Allocation," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 175-206, December.
    7. George Chacko & Luis M. Viceira, 2005. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1369-1402.
    8. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2016. "Portfolio choice with stochastic interest rates and learning about stock return predictability," International Review of Economics & Finance, Elsevier, vol. 41(C), pages 347-370.
    9. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2015. "Robust portfolio choice with derivative trading under stochastic volatility," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 142-157.
    10. Gonçalo Faria & João Correia-da-Silva, 2016. "Is stochastic volatility relevant for dynamic portfolio choice under ambiguity?," The European Journal of Finance, Taylor & Francis Journals, vol. 22(7), pages 601-626, May.
    11. Suleyman Basak & Georgy Chabakauri, 2010. "Dynamic Mean-Variance Asset Allocation," The Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 2970-3016, August.
    12. Filipović, Damir & Gourier, Elise & Mancini, Loriano, 2016. "Quadratic variance swap models," Journal of Financial Economics, Elsevier, vol. 119(1), pages 44-68.
    13. Daniel Giamouridis & Athanasios Sakkas & Nikolaos Tessaromatis, 2017. "Dynamic Asset Allocation with Liabilities," European Financial Management, European Financial Management Association, vol. 23(2), pages 254-291, March.
    14. Horváth, Ferenc, 2017. "Essays on robust asset pricing," Other publications TiSEM e54d7b33-1f27-4b0e-9f84-f, Tilburg University, School of Economics and Management.
    15. Haijun Wang & L. Steven Hou, 2015. "Robust Consumption and Portfolio Choice with Habit Formation, the Spirit of Capitalism and Recursive Utility," Annals of Economics and Finance, Society for AEF, vol. 16(2), pages 393-416, November.
    16. John Y. Campbell & Yeung Lewis Chanb & M. Viceira, 2013. "A multivariate model of strategic asset allocation," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part II, chapter 39, pages 809-848, World Scientific Publishing Co. Pte. Ltd..
    17. Rubtsov, Alexey, 2016. "Model misspecification and pricing of illiquid claims," Finance Research Letters, Elsevier, vol. 18(C), pages 242-249.
    18. Francisco Gomes & Alexander Michaelides & Yuxin Zhang, 2022. "Tactical Target Date Funds," Management Science, INFORMS, vol. 68(4), pages 3047-3070, April.
    19. Marie Brière & Ombretta Signori, 2011. "Inflation hedging portfolios in different regimes," BIS Papers chapters, in: Bank for International Settlements (ed.), Portfolio and risk management for central banks and sovereign wealth funds, volume 58, pages 139-163, Bank for International Settlements.
    20. Christian Flor & Linda Larsen, 2014. "Robust portfolio choice with stochastic interest rates," Annals of Finance, Springer, vol. 10(2), pages 243-265, May.

    More about this item

    Keywords

    Age effect; Homothetic robust utility; Dynamic asset allocation; Stochastic volatility; Stochastic inflation;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:mathfi:v:18:y:2024:i:4:d:10.1007_s11579-024-00369-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.