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On the optimality of funding and hiring/firing according to stochastic demand: The role of growth and shutdown options

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  • Letifi, N.
  • Prigent, J.-L.

Abstract

We examine the firm's investment and hiring/firing policy under stochastic demand with potential reversibility. We evaluate in particular the values of both investment and hiring/firing growth and shutdown options not only for the standard Cobb–Douglas production function but also when taking account of the natural upper bound on the output due to the demand level. For this latter purpose, we use results about average of options provided in Shackleton and Wojakowski (2007). As a by-product, we extend the approach of Tserlukevich (2008) by introducing the employment level to analyze in particular the optimality of the financial structure and leverage. Our approach allows us to get a quasi-explicit solution of the optimal firm's value that can be deeply analyzed. Such results can potentially explain the interest for flexible contractual arrangements with capital and labor firm's structure.

Suggested Citation

  • Letifi, N. & Prigent, J.-L., 2014. "On the optimality of funding and hiring/firing according to stochastic demand: The role of growth and shutdown options," Economic Modelling, Elsevier, vol. 40(C), pages 410-422.
  • Handle: RePEc:eee:ecmode:v:40:y:2014:i:c:p:410-422
    DOI: 10.1016/j.econmod.2013.11.022
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    1. Blasco, Sylvie & Pertold-Gebicka, Barbara, 2013. "Employment policies, hiring practices and firm performance," Labour Economics, Elsevier, vol. 25(C), pages 12-24.
    2. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    3. Andrew B. Abel & Janice C. Eberly, 1996. "Optimal Investment with Costly Reversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 581-593.
    4. Majd, Saman & Pindyck, Robert S., 1987. "Time to build, option value, and investment decisions," Journal of Financial Economics, Elsevier, vol. 18(1), pages 7-27, March.
    5. Abel, Andrew B. & Eberly, Janice C., 1999. "The effects of irreversibility and uncertainty on capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 339-377, December.
    6. Bar-Ilan, Avner & Strange, William C., 1999. "The Timing and Intensity of Investment," Journal of Macroeconomics, Elsevier, vol. 21(1), pages 57-77, January.
    7. Capozza, Dennis & Li, Yuming, 1994. "The Intensity and Timing of Investment: The Case of Land," American Economic Review, American Economic Association, vol. 84(4), pages 889-904, September.
    8. Shackleton, Mark B. & Wojakowski, Rafal, 2007. "Finite maturity caps and floors on continuous flows," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3843-3859, December.
    9. Bar-Ilan, Avner & Strange, William C., 1998. "A model of sequential investment," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 437-463, March.
    10. Jean-Paul Décamps & Thomas Mariotti & Stéphane Villeneuve, 2006. "Irreversible investment in alternative projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 425-448, June.
    11. David G. Laughton & Henry D. Jacoby, 1993. "Reversion, Timing Options, and Long-Term Decision-Making," Financial Management, Financial Management Association, vol. 22(3), Fall.
    12. Faria, João Ricardo & Cuestas, Juan Carlos & Mourelle, Estefanía, 2010. "Entrepreneurship and unemployment: A nonlinear bidirectional causality?," Economic Modelling, Elsevier, vol. 27(5), pages 1282-1291, September.
    13. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    14. Yagi, Kyoko & Takashima, Ryuta, 2012. "The impact of convertible debt financing on investment timing," Economic Modelling, Elsevier, vol. 29(6), pages 2407-2416.
    15. Kenneth J. Arrow & Anthony C. Fisher, 1974. "Environmental Preservation, Uncertainty, and Irreversibility," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 4, pages 76-84, Palgrave Macmillan.
    16. Quigg, Laura, 1993. "Empirical Testing of Real Option-Pricing Models," Journal of Finance, American Finance Association, vol. 48(2), pages 621-640, June.
    17. Schwartz, Eduardo S, 1997. "The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    18. He, Hua & Pindyck, Robert S., 1992. "Investments in flexible production capacity," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 575-599.
    19. Torben M. Andersen & Michael Svarer, 2007. "Flexicurity: Labour Market Performance in Denmark," CESifo Economic Studies, CESifo Group, vol. 53(3), pages 389-429, September.
    20. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    21. Wong, Kit Pong, 2010. "The effects of irreversibility on the timing and intensity of lumpy investment," Economic Modelling, Elsevier, vol. 27(1), pages 97-102, January.
    22. Kandel, Eugene & Pearson, Neil D., 2002. "Option Value, Uncertainty, and the Investment Decision," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(3), pages 341-374, September.
    23. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    24. Tserlukevich, Yuri, 2008. "Can real options explain financing behavior?," Journal of Financial Economics, Elsevier, vol. 89(2), pages 232-252, August.
    25. McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-349, June.
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    Cited by:

    1. Bouasker, O. & Letifi, N. & Prigent, J.-L., 2016. "Optimal funding and hiring/firing policies with mean reverting demand," Economic Modelling, Elsevier, vol. 58(C), pages 569-579.
    2. Perera, Sandun & Gupta, Varun & Buckley, Winston, 2020. "Management of online server congestion using optimal demand throttling," European Journal of Operational Research, Elsevier, vol. 285(1), pages 324-342.

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    More about this item

    Keywords

    Stochastic demand; Financial leverage; Employment level; Average of options; Growth and shutdown options;
    All these keywords.

    JEL classification:

    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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