IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1506.00535.html
   My bibliography  Save this paper

New exact Taylor's expansions and simple solutions to PDEs

Author

Listed:
  • Moawia Alghalith

Abstract

We provide new exact Taylor's series with fixed coefficients and without the remainder. We demonstrate the usefulness of this contribution by using it to obtain very simple solutions to (non-linear) PDEs. We also apply the method to the portfolio model.

Suggested Citation

  • Moawia Alghalith, 2015. "New exact Taylor's expansions and simple solutions to PDEs," Papers 1506.00535, arXiv.org, revised Nov 2015.
    • Handle: RePEc:arx:papers:1506.00535
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1506.00535
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jérôme Detemple, 2014. "Portfolio Selection: A Review," Journal of Optimization Theory and Applications, Springer, vol. 161(1), pages 1-21, April.
    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. Kamma, Thijs & Pelsser, Antoon, 2022. "Near-optimal asset allocation in financial markets with trading constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 766-781.
    2. Kassimatis, Konstantinos, 2021. "Mean-variance versus utility maximization revisited: The case of constant relative risk aversion," International Review of Financial Analysis, Elsevier, vol. 78(C).
    3. Chenxu Li & Olivier Scaillet & Yiwen Shen, 2020. "Wealth Effect on Portfolio Allocation in Incomplete Markets," Papers 2004.10096, arXiv.org, revised Aug 2021.
    4. Moawia Alghalith, 2017. "Stochastic optimization without Ito's lemma: applications to the portfolio model," Economics Bulletin, AccessEcon, vol. 37(4), pages 2533-2536.
    5. Thijs Kamma & Antoon Pelsser, 2019. "Near-Optimal Dynamic Asset Allocation in Financial Markets with Trading Constraints," Papers 1906.12317, arXiv.org, revised Oct 2019.
    6. Yan Yan & Zhewen Liao & Xiaosong Chen, 2018. "Fixed-income securities: bibliometric review with network analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(3), pages 1615-1640, September.
    7. Najafi, Amir Abbas & Pourahmadi, Zahra, 2016. "An efficient heuristic method for dynamic portfolio selection problem under transaction costs and uncertain conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 154-162.
    8. Ma, Guiyuan & Siu, Chi Chung & Zhu, Song-Ping, 2019. "Dynamic portfolio choice with return predictability and transaction costs," European Journal of Operational Research, Elsevier, vol. 278(3), pages 976-988.
    9. Liu, Weiyi & Liu, Yangyi & Luo, Ronghua & Ding, Yue, 2021. "Ability parity model for optimal fund allocation: Evidence from China's mutual fund markets," Emerging Markets Review, Elsevier, vol. 48(C).
    10. Chenxu Li & O. Scaillet & Yiwen Shen, 2020. "Decomposition of Optimal Dynamic Portfolio Choice with Wealth-Dependent Utilities in Incomplete Markets," Swiss Finance Institute Research Paper Series 20-22, Swiss Finance Institute.
    11. Wu, Xu & Zhang, Linlin & Li, Jia & Yan, Ruzhen, 2021. "Fractal statistical measure and portfolio model optimization under power-law distribution," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
    12. Shamsiya Kudratova & Xiaoxia Huang & Khikmatullo Kudratov & Shohrukh Qudratov, 2020. "Corporate sustainability and stakeholder value trade‐offs in project selection through optimization modeling: Application of investment banking," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 27(2), pages 815-824, March.

    More about this item

    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:1506.00535. 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.