IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v38y2021ics1544612319313728.html
   My bibliography  Save this article

Optimal risk asset allocation of a loss-averse bank with partial information under inflation risk

Author

Listed:
  • Huang, Jia
  • Chen, Zheng

Abstract

The paper aims to solve the asset allocation problem of a loss-averse commercial bank in an environment with macroeconomic risks where inflation rates obey a mean-reverting process. The bank has only partial information about the appreciation rate of inflation. Its risk preference is described using an S-shaped utility function and then a semi-analytical investment strategy is derived through the filtering theory and inverse Fourier Transformation method. The paper finds that the investment proportion which decreases with a higher degree of information incompleteness is positively correlated with inflation risks and has a close but not monotonic relationship with the reference point.

Suggested Citation

  • Huang, Jia & Chen, Zheng, 2021. "Optimal risk asset allocation of a loss-averse bank with partial information under inflation risk," Finance Research Letters, Elsevier, vol. 38(C).
    • Handle: RePEc:eee:finlet:v:38:y:2021:i:c:s1544612319313728
    DOI: 10.1016/j.frl.2020.101513
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612319313728
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.frl.2020.101513?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. Lakner, Peter, 1998. "Optimal trading strategy for an investor: the case of partial information," Stochastic Processes and their Applications, Elsevier, vol. 76(1), pages 77-97, August.
    2. Chen, Zheng & Li, Zhongfei & Zeng, Yan & Sun, Jingyun, 2017. "Asset allocation under loss aversion and minimum performance constraint in a DC pension plan with inflation risk," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 137-150.
    3. 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.
    4. Arjan B. Berkelaar & Roy Kouwenberg & Thierry Post, 2004. "Optimal Portfolio Choice under Loss Aversion," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 973-987, November.
    5. 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.
    6. Ben Salah Mahdi, Ines & Boujelbène Abbes, Mouna, 2018. "Behavioral explanation for risk taking in Islamic and conventional banks," Research in International Business and Finance, Elsevier, vol. 45(C), pages 577-587.
    7. Willman, Paul & Fenton-O'Creevy, Mark & Nicholson, Nigel & Soane, Emma, 2002. "Traders, managers and loss aversion in investment banking: a field study," Accounting, Organizations and Society, Elsevier, vol. 27(1-2), pages 85-98.
    8. Talavera, Oleksandr & Tsapin, Andriy & Zholud, Oleksandr, 2012. "Macroeconomic uncertainty and bank lending: The case of Ukraine," Economic Systems, Elsevier, vol. 36(2), pages 279-293.
    9. Pyle, David H, 1971. "On the Theory of Financial Intermediation," Journal of Finance, American Finance Association, vol. 26(3), pages 737-747, June.
    10. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    11. Curatola, Giuliano, 2015. "Loss aversion, habit formation and the term structures of equity and interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 103-122.
    12. Acharya, Viral & Naqvi, Hassan, 2012. "The seeds of a crisis: A theory of bank liquidity and risk taking over the business cycle," Journal of Financial Economics, Elsevier, vol. 106(2), pages 349-366.
    13. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    14. Oliver D. Hart & Dwight M. Jaffee, 1974. "On the Application of Portfolio Theory to Depository Financial Intermediaries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 129-147.
    15. Brendle, Simon, 2006. "Portfolio selection under incomplete information," Stochastic Processes and their Applications, Elsevier, vol. 116(5), pages 701-723, May.
    16. Christopher Baum & Mustafa Caglayan & Neslihan Ozkan, 2013. "The Role Of Uncertainty In The Transmission Of Monetary Policy Effects On Bank Lending," Manchester School, University of Manchester, vol. 81(2), pages 202-225, March.
    17. Ling Zhang & Zhongfei Li & Yunhui Xu & Yongwu Li, 2016. "Multi‐period mean variance portfolio selection under incomplete information," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(6), pages 753-774, November.
    18. Tomas Björk & Mark Davis & Camilla Landén, 2010. "Optimal investment under partial information," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(2), pages 371-399, April.
    19. Yihong Xia, 2001. "Learning about Predictability: The Effects of Parameter Uncertainty on Dynamic Asset Allocation," Journal of Finance, American Finance Association, vol. 56(1), pages 205-246, February.
    20. Nafis Alam & Kin Boon Tang, 2012. "Risk‐taking behaviour of Islamic banks: application of prospect theory," Qualitative Research in Financial Markets, Emerald Group Publishing Limited, vol. 4(2/3), pages 156-164, August.
    21. Valencia, Fabián, 2017. "Aggregate uncertainty and the supply of credit," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 150-165.
    22. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 1-53.
    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. Olapeju Comfort Ogunmokun & Oluwasoye P. Mafimisebi & Demola Obembe, 2023. "Prospect theory and bank credit risk decision-making behaviour: a systematic literature review and future research agenda," SN Business & Economics, Springer, vol. 3(4), pages 1-25, April.
    2. Chen, Zheng & Li, Zhongfei & Zeng, Yan, 2023. "Portfolio choice with illiquid asset for a loss-averse pension fund investor," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 60-83.
    3. Servaas van Bilsen & Roger J. A. Laeven & Theo E. Nijman, 2020. "Consumption and Portfolio Choice Under Loss Aversion and Endogenous Updating of the Reference Level," Management Science, INFORMS, vol. 66(9), pages 3927-3955, September.
    4. Wang, Pei & Shen, Yang & Zhang, Ling & Kang, Yuxin, 2021. "Equilibrium investment strategy for a DC pension plan with learning about stock return predictability," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 384-407.
    5. Kontosakos, Vasileios E. & Hwang, Soosung & Kallinterakis, Vasileios & Pantelous, Athanasios A., 2024. "Long-term dynamic asset allocation under asymmetric risk preferences," European Journal of Operational Research, Elsevier, vol. 312(2), pages 765-782.
    6. Curatola, Giuliano, 2016. "Optimal consumption and portfolio choice with loss aversion," SAFE Working Paper Series 130, Leibniz Institute for Financial Research SAFE.
    7. Chen, Zheng & Li, Zhongfei & Zeng, Yan & Sun, Jingyun, 2017. "Asset allocation under loss aversion and minimum performance constraint in a DC pension plan with inflation risk," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 137-150.
    8. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    9. Jaroslava Hlouskova & Jana Mikocziova & Rudolf Sivak & Peter Tsigaris, 2014. "Capital Income Taxation and Risk-Taking under Prospect Theory: The Continuous Distribution Case," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 64(5), pages 374-391, November.
    10. Consiglio, Andrea & Russino, Annalisa, 2007. "How does learning affect market liquidity? A simulation analysis of a double-auction financial market with portfolio traders," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 1910-1937, June.
    11. Flavio Angelini & Katia Colaneri & Stefano Herzel & Marco Nicolosi, 2021. "Implicit incentives for fund managers with partial information," Computational Management Science, Springer, vol. 18(4), pages 539-561, October.
    12. Rosenblatt-Wisch, Rina, 2008. "Loss aversion in aggregate macroeconomic time series," European Economic Review, Elsevier, vol. 52(7), pages 1140-1159, October.
    13. Jaroslava Hlouskova & Panagiotis Tsigaris, 2012. "Capital income taxation and risk taking under prospect theory," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(4), pages 554-573, August.
    14. Michael Best & Robert Grauer & Jaroslava Hlouskova & Xili Zhang, 2014. "Loss-Aversion with Kinked Linear Utility Functions," Computational Economics, Springer;Society for Computational Economics, vol. 44(1), pages 45-65, June.
    15. Noman, Abdullah & Naka, Atsuyuki & Zirek, Duygu, 2017. "Examining return predictability of industry style portfolios with prior return relative to a benchmark," The Quarterly Review of Economics and Finance, Elsevier, vol. 63(C), pages 193-203.
    16. Fortin, Ines & Hlouskova, Jaroslava, 2024. "Prospect theory and asset allocation," The Quarterly Review of Economics and Finance, Elsevier, vol. 94(C), pages 214-240.
    17. Armstrong, John & Brigo, Damiano, 2019. "Risk managing tail-risk seekers: VaR and expected shortfall vs S-shaped utility," Journal of Banking & Finance, Elsevier, vol. 101(C), pages 122-135.
    18. Ouzan, Samuel, 2020. "Loss aversion and market crashes," Economic Modelling, Elsevier, vol. 92(C), pages 70-86.
    19. Li, Yongwu & Qiao, Han & Wang, Shouyang & Zhang, Ling, 2015. "Time-consistent investment strategy under partial information," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 187-197.
    20. M. Levy, 2010. "Loss aversion and the price of risk," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 1009-1022.

    More about this item

    Keywords

    Bank asset allocation; Loss aversion; Partial information; Inflation risk;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    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:eee:finlet:v:38:y:2021:i:c:s1544612319313728. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    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.