IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v27y2019i4d10.1007_s10100-018-0535-x.html
   My bibliography  Save this article

A nonlinear state marginal price vector model for the task of business valuation. A case study: The dimensioning of IT-service companies under nonlinear synergy effects

Author

Listed:
  • Christian Toll

    (Fernuniversität Hagen)

  • Olaf Kintzel

    (Fernuniversität Hagen)

Abstract

In the present contribution we present a nonlinear extension of the innovative linear investment-oriented company valuation method and so-called state marginal price vector model of Toll which represents a two-step procedure separated into a base and a valuation approach. As novel aspect we address nonlinear synergy effects in M&A’s. For this purpose we introduce a nonlinear framework within a semi-discrete convex optimization approach. As capital market assumption we simulate an imperfect market. To demonstrate the usefulness of the method, we address a case study of a merger of two IT-service companies. The related valuation and dimensioning of capacities is done by solving a multi-period newsvendor model under stochastic demand. The demonstrated nonlinear framework is shown to be suitable for a wide range of business valuation tasks.

Suggested Citation

  • Christian Toll & Olaf Kintzel, 2019. "A nonlinear state marginal price vector model for the task of business valuation. A case study: The dimensioning of IT-service companies under nonlinear synergy effects," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(4), pages 1079-1105, December.
    • Handle: RePEc:spr:cejnor:v:27:y:2019:i:4:d:10.1007_s10100-018-0535-x
    DOI: 10.1007/s10100-018-0535-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-018-0535-x
    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/s10100-018-0535-x?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. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Garman, Mark B. & Ohlson, James A., 1981. "Valuation of risky assets in arbitrage-free economies with transactions costs," Journal of Financial Economics, Elsevier, vol. 9(3), pages 271-280, September.
    3. Myers, Stewart C, 1974. "Interactions of Corporate Financing and Investment Decisions-Implications for Capital Budgeting," Journal of Finance, American Finance Association, vol. 29(1), pages 1-25, March.
    4. Cuthbert C. Hurd, 1954. "Letter to the Editor---Simulation by Computation as an Operations Research Tool," Operations Research, INFORMS, vol. 2(2), pages 205-207, May.
    5. Alfares, Hesham K. & Elmorra, Hassan H., 2005. "The distribution-free newsboy problem: Extensions to the shortage penalty case," International Journal of Production Economics, Elsevier, vol. 93(1), pages 465-477, January.
    6. Matschke Manfred Jürgen & Brösel Gerrit & Matschke Xenia, 2010. "Fundamentals of Functional Business Valuation," Journal of Business Valuation and Economic Loss Analysis, De Gruyter, vol. 5(1), pages 1-41, November.
    7. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    8. Rossi, Roberto & Prestwich, Steven & Tarim, S. Armagan & Hnich, Brahim, 2014. "Confidence-based optimisation for the newsvendor problem under binomial, Poisson and exponential demand," European Journal of Operational Research, Elsevier, vol. 239(3), pages 674-684.
    9. Michael Olbrich & Tobias Quill & David J. Rapp, 2015. "Business valuation inspired by the Austrian school," Post-Print hal-02396880, HAL.
    10. Casimir, Rommert J., 2002. "The value of information in the multi-item newsboy problem," Omega, Elsevier, vol. 30(1), pages 45-50, February.
    11. Thomas Hering & Christian Toll & Polina K. Kirilova, 2016. "Assessing the maximum expendable quota for a milestone financing provided by a venture capitalist," International Journal of Entrepreneurial Venturing, Inderscience Enterprises Ltd, vol. 8(1), pages 102-117.
    12. Pindyck, Robert S, 1993. "A Note on Competitive Investment under Uncertainty," American Economic Review, American Economic Association, vol. 83(1), pages 273-277, March.
    13. Alexandar Angelus & Evan L. Porteus, 2002. "Simultaneous Capacity and Production Management of Short-Life-Cycle, Produce-to-Stock Goods Under Stochastic Demand," Management Science, INFORMS, vol. 48(3), pages 399-413, March.
    14. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    15. Coleman, Les, 2014. "Why finance theory fails to survive contact with the real world: A fund manager perspective," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 25(3), pages 226-236.
    16. E. Sankarasubramanian & S. Kumaraswamy, 1983. "Note---Note on "Optimal Ordering Quantity to Realize a Pre-Determined Level of Profit"," Management Science, INFORMS, vol. 29(4), pages 512-514, April.
    17. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    18. Rodolfo C. Salazar & Subrata K. Sen, 1968. "A Simulation Model of Capital Budgeting Under Uncertainty," Management Science, INFORMS, vol. 15(4), pages 161-179, December.
    19. Michael Lerm & Roland Rollberg & Peter Kurz, 2012. "Financial valuation of start-up businesses with and without venture capital," International Journal of Entrepreneurial Venturing, Inderscience Enterprises Ltd, vol. 4(3), pages 257-275.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Olaf Kintzel & Christian Toll, 2022. "Company valuation and the nonlinear state marginal price vector model under agency conflicts," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(4), pages 1279-1305, December.
    2. Frank Daumann & Florian Follert & Werner Gleißner & Endre Kamarás & Chantal Naumann, 2021. "Political Decision Making in the COVID-19 Pandemic: The Case of Germany from the Perspective of Risk Management," IJERPH, MDPI, vol. 19(1), pages 1-23, December.

    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. Christian Toll & Thomas Hering, 2017. "Valuation of Company Merger from the Shareholders’ Point of View," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 19(46), pages 836-836, August.
    2. Merton, Robert, 1990. "Capital market theory and the pricing of financial securities," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 11, pages 497-581, Elsevier.
    3. Merton, Robert C., 1993. "On the microeconomic theory of investment under uncertainty," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 13, pages 601-669, Elsevier.
    4. Tobias Quill, 2020. "Valuation Techniques Under Construction—About the Dissemination of the CAPM in German Judicial Valuation," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 72(2), pages 299-341, April.
    5. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
    6. Madhukar Nagare & Pankaj Dutta & Naoufel Cheikhrouhou, 2016. "Optimal ordering policy for newsvendor models with bidirectional changes in demand using expert judgment," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 620-647, September.
    7. Christian Toll, 2018. "Zur Bewertung einer Unternehmensspaltung aus Sicht der Anteilseigner des zu spaltenden Unternehmens [Valuation of a Corporate Demerger from the Shareholders’ Point of View]," Schmalenbach Journal of Business Research, Springer, vol. 70(1), pages 155-204, March.
    8. Dipankar Mondal & N. Selvaraju, 2022. "Convexity, two-fund separation and asset ranking in a mean-LPM portfolio selection framework," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 225-248, March.
    9. Anders Johansson, 2009. "An analysis of dynamic risk in the Greater China equity markets," Journal of Chinese Economic and Business Studies, Taylor & Francis Journals, vol. 7(3), pages 299-320.
    10. Chia-Lin Chang & Jukka Ilomäki & Hannu Laurila & Michael McAleer, 2018. "Long Run Returns Predictability and Volatility with Moving Averages," Risks, MDPI, vol. 6(4), pages 1-18, September.
    11. Hany Shawky & Ronald Forbes & Alan Frankle, 1983. "Liquidity Services and Capital Market Equilibrium: The Case for Money Market Mutual Funds," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 6(2), pages 141-152, June.
    12. Jan A. Van Mieghem & Nils Rudi, 2002. "Newsvendor Networks: Inventory Management and Capacity Investment with Discretionary Activities," Manufacturing & Service Operations Management, INFORMS, vol. 4(4), pages 313-335, August.
    13. Leitner Johannes, 2005. "Optimal portfolios with expected loss constraints and shortfall risk optimal martingale measures," Statistics & Risk Modeling, De Gruyter, vol. 23(1/2005), pages 49-66, January.
    14. Zubanov, Nick & Cadsby, Bram & Song, Fei, 2017. "The," IZA Discussion Papers 10542, Institute of Labor Economics (IZA).
    15. Paulo Coutinho & Benjamin Miranda Tabak, 2003. "Decentralized Portfolio Management," Brazilian Review of Finance, Brazilian Society of Finance, vol. 1(2), pages 243-270.
    16. Kanwal Iqbal Khan & Syed M. Waqar Azeem Naqvi & Muhammad Mudassar Ghafoor & Rana Shahid Imdad Akash, 2020. "Sustainable Portfolio Optimization with Higher-Order Moments of Risk," Sustainability, MDPI, vol. 12(5), pages 1-14, March.
    17. Babalos, Vassilios & Caporale, Guglielmo Maria & Philippas, Nikolaos, 2012. "Efficiency evaluation of Greek equity funds," Research in International Business and Finance, Elsevier, vol. 26(2), pages 317-333.
    18. Linnenluecke, Martina K. & Chen, Xiaoyan & Ling, Xin & Smith, Tom & Zhu, Yushu, 2017. "Research in finance: A review of influential publications and a research agenda," Pacific-Basin Finance Journal, Elsevier, vol. 43(C), pages 188-199.
    19. Chenglu Jin & Thomas Conlon & John Cotter, 2023. "Co-Skewness across Return Horizons," Journal of Financial Econometrics, Oxford University Press, vol. 21(5), pages 1483-1518.
    20. Wesselhöfft, Niels & Härdle, Wolfgang Karl, 2019. "Constrained Kelly portfolios under alpha-stable laws," IRTG 1792 Discussion Papers 2019-004, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".

    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:cejnor:v:27:y:2019:i:4:d:10.1007_s10100-018-0535-x. 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.