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Optimal proportion decision-making for two stages investment

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  • Liu, Yu-Hong
  • Jiang, I-Ming

Abstract

In two-stage investment decision-making, an enterprise focuses not only on the choice of optimal investment timing, but also on the investment proportion of each stage. By considering the typical two-stage investment decision-making, we analyze the effect of output quantity on price and profit of each stage and construct the model under uncertainty, including the optimal investment timing and proportion. In some situations the investment project is set up with a certain maximum capacity, and this fixed project capacity becomes an upper boundary of its later output that cannot be adjusted in the future. Compared to lumpy investment, this study presents that two-stage investment decision-making allows the enterprise to enter the first stage earlier and the second stage later when choosing the proper investment proportion, which may enhance the investment value. Under increasing uncertainty, the enterprise will enter the first-stage investment later with a larger proportion, and the effect from the change in investment proportion on investment value will decrease.

Suggested Citation

  • Liu, Yu-Hong & Jiang, I-Ming, 2019. "Optimal proportion decision-making for two stages investment," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 776-785.
    • Handle: RePEc:eee:ecofin:v:48:y:2019:i:c:p:776-785
    DOI: 10.1016/j.najef.2018.08.002
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    1. Andrew B. Abel & Avinash K. Dixit & Janice C. Eberly & Robert S. Pindyck, 1996. "Options, the Value of Capital, and Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 753-777.
    2. 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.
    3. 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.
    4. Dixit, Avinash, 1995. "Irreversible investment with uncertainty and scale economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 327-350.
    5. Sascha Mölls & Karl-Heinz Schild, 2012. "Decision-making in sequential projects: expected time-to-build and probability of failure," Review of Quantitative Finance and Accounting, Springer, vol. 39(1), pages 1-25, July.
    6. 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.
    7. Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," The Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
    8. Kort, Peter M. & Murto, Pauli & Pawlina, Grzegorz, 2010. "Uncertainty and stepwise investment," European Journal of Operational Research, Elsevier, vol. 202(1), pages 196-203, April.
    9. Michail Chronopoulos & Verena Hagspiel & Stein-Erik Fleten, 2017. "Stepwise investment and capacity sizing under uncertainty," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 447-472, March.
    10. Alvarez, Luis H.R. & Stenbacka, Rune, 2007. "Partial outsourcing: A real options perspective," International Journal of Industrial Organization, Elsevier, vol. 25(1), pages 91-102, February.
    11. Boyer, Marcel & Lasserre, Pierre & Moreaux, Michel, 2012. "A dynamic duopoly investment game without commitment under uncertain market expansion," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 663-681.
    12. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    13. Elizabeth Olmstead Teisberg, 1993. "Capital Investment Strategies under Uncertain Regulation," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 591-604, Winter.
    14. 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.
    15. Guthrie, Graeme, 2012. "Uncertainty and the trade-off between scale and flexibility in investment," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1718-1728.
    16. Jinhui Zhang & Sachi Purcal & Jiaqin Wei, 2017. "Optimal Time to Enter a Retirement Village," Risks, MDPI, vol. 5(1), pages 1-20, March.
    17. Huisman, Kuno J. M. & Kort, Peter M., 2003. "Strategic investment in technological innovations," European Journal of Operational Research, Elsevier, vol. 144(1), pages 209-223, January.
    18. Lukas, Elmar & Welling, Andreas, 2014. "On the investment–uncertainty relationship: A game theoretic real option approach," Finance Research Letters, Elsevier, vol. 11(1), pages 25-35.
    19. Nick Huberts & Kuno Huisman & Peter Kort & Maria Lavrutich, 2015. "Capacity Choice in (Strategic) Real Options Models: A Survey," Dynamic Games and Applications, Springer, vol. 5(4), pages 424-439, December.
    20. Bøckman, Thor & Fleten, Stein-Erik & Juliussen, Erik & Langhammer, Håvard J. & Revdal, Ingemar, 2008. "Investment timing and optimal capacity choice for small hydropower projects," European Journal of Operational Research, Elsevier, vol. 190(1), pages 255-267, October.
    21. Dangl, Thomas, 1999. "Investment and capacity choice under uncertain demand," European Journal of Operational Research, Elsevier, vol. 117(3), pages 415-428, September.
    22. Siddiqui, Afzal & Takashima, Ryuta, 2012. "Capacity switching options under rivalry and uncertainty," European Journal of Operational Research, Elsevier, vol. 222(3), pages 583-595.
    23. Baldwin, Carliss Y, 1982. "Optimal Sequential Investment When Capital Is Not Readily Reversible," Journal of Finance, American Finance Association, vol. 37(3), pages 763-782, June.
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    Cited by:

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    More about this item

    Keywords

    Real option; Sequential investment; Investment proportion;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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