IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2302.10485.html
   My bibliography  Save this paper

Optimal investment with a noisy signal of future stock prices

Author

Listed:
  • Peter Bank
  • Yan Dolinsky

Abstract

We consider an investor who is dynamically informed about the future evolution of one of the independent Brownian motions driving a stock's price fluctuations. With linear temporary price impact the resulting optimal investment problem with exponential utility turns out to be not only well posed, but it even allows for a closed-form solution. We describe this solution and the resulting problem value for this stochastic control problem with partial observation by solving its convex-analytic dual problem.

Suggested Citation

  • Peter Bank & Yan Dolinsky, 2023. "Optimal investment with a noisy signal of future stock prices," Papers 2302.10485, arXiv.org, revised Dec 2023.
    • Handle: RePEc:arx:papers:2302.10485
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2302.10485
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bandini, Elena & Cosso, Andrea & Fuhrman, Marco & Pham, Huyên, 2019. "Randomized filtering and Bellman equation in Wasserstein space for partial observation control problem," Stochastic Processes and their Applications, Elsevier, vol. 129(2), pages 674-711.
    2. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    3. Peter Bank & Yan Dolinsky & Mikl'os R'asonyi, 2021. "What if we knew what the future brings? Optimal investment for a frontrunner with price impact," Papers 2108.04291, arXiv.org, revised May 2022.
    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. Christiane Goodfellow & Dirk Schiereck & Steffen Wippler, 2013. "Are behavioural finance equity funds a superior investment? A note on fund performance and market efficiency," Journal of Asset Management, Palgrave Macmillan, vol. 14(2), pages 111-119, April.
    2. Berentsen, Aleksander & Huber, Samuel & Marchesiani, Alessandro, 2016. "The societal benefit of a financial transaction tax," European Economic Review, Elsevier, vol. 89(C), pages 303-323.
    3. Chang, Sanders S. & Wang, F. Albert, 2015. "Adverse selection and the presence of informed trading," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 19-33.
    4. Gur Huberman & Dominika Halka, 2001. "Systematic Liquidity," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 24(2), pages 161-178, June.
    5. Liu, Hong & Qi, Lina & Li, Zaili, 2019. "Insider trading, representativeness heuristic insider, and market regulation," The North American Journal of Economics and Finance, Elsevier, vol. 47(C), pages 48-64.
    6. Rasmus Fatum & Jesper Pedersen & Peter Norman Sørensen, 2010. "Are the Intraday Effects of Central Bank Intervention on Exchange Rate Spreads Asymmetric and State Dependent?," Discussion Papers 10-20, University of Copenhagen. Department of Economics.
    7. Guillermo Llorente & Jiang Wang, 2020. "Trading and information in futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(8), pages 1231-1263, August.
    8. Jhinyoung Shin & Rajdeep Singh, 2010. "Corporate Disclosures: Strategic Donation of Information," International Review of Finance, International Review of Finance Ltd., vol. 10(3), pages 313-337, September.
    9. Chakrabarty, Bidisha & Cox, Justin & Upson, James E., 2022. "Tick Size Pilot Program and price discovery in U.S. stock markets," Journal of Financial Markets, Elsevier, vol. 59(PB).
    10. Goldstein, Itay & Yang, Liyan, 2019. "Good disclosure, bad disclosure," Journal of Financial Economics, Elsevier, vol. 131(1), pages 118-138.
    11. Anil Arya & Ram N. V. Ramanan, 2023. "Endogenizing Discretion in Disclosures," Management Science, INFORMS, vol. 69(6), pages 3730-3747, June.
    12. Turan G. Bali & Robert F. Engle & Yi Tang, 2017. "Dynamic Conditional Beta Is Alive and Well in the Cross Section of Daily Stock Returns," Management Science, INFORMS, vol. 63(11), pages 3760-3779, November.
    13. Mizrach, Bruce & Otsubo, Yoichi, 2014. "The market microstructure of the European climate exchange," Journal of Banking & Finance, Elsevier, vol. 39(C), pages 107-116.
    14. Panayi, Efstathios & Peters, Gareth W. & Danielsson, Jon & Zigrand, Jean-Pierre, 2018. "Designating market maker behaviour in limit order book markets," Econometrics and Statistics, Elsevier, vol. 5(C), pages 20-44.
    15. Prakash Chakraborty & Kiseop Lee, 2022. "Bond Prices Under Information Asymmetry and a Short Rate with Instantaneous Feedback," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 613-634, June.
    16. Doureige J. Jurdi, 2020. "Intraday Jumps, Liquidity, and U.S. Macroeconomic News: Evidence from Exchange Traded Funds," JRFM, MDPI, vol. 13(6), pages 1-19, June.
    17. Ding, Mingfa, 2014. "Political Connections and Stock Liquidity: Political Network, Hierarchy and Intervention," Knut Wicksell Working Paper Series 2014/7, Lund University, Knut Wicksell Centre for Financial Studies.
    18. Baruch, Shmuel & Panayides, Marios & Venkataraman, Kumar, 2017. "Informed trading and price discovery before corporate events," Journal of Financial Economics, Elsevier, vol. 125(3), pages 561-588.
    19. Arturo Bris, 2005. "Do Insider Trading Laws Work?," European Financial Management, European Financial Management Association, vol. 11(3), pages 267-312, June.
    20. Brown, Stephen & Hillegeist, Stephen A. & Lo, Kin, 2009. "The effect of earnings surprises on information asymmetry," Journal of Accounting and Economics, Elsevier, vol. 47(3), pages 208-225, June.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2302.10485. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.