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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

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  • 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
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    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. 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.
    3. 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.
    4. Pindyck, Robert S, 1993. "A Note on Competitive Investment under Uncertainty," American Economic Review, American Economic Association, vol. 83(1), pages 273-277, March.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. Michael Olbrich & Tobias Quill & David J. Rapp, 2015. "Business valuation inspired by the Austrian school," Post-Print hal-02396880, HAL.
    19. Casimir, Rommert J., 2002. "The value of information in the multi-item newsboy problem," Omega, Elsevier, vol. 30(1), pages 45-50, February.
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    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.

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