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Real investment decision under CRRA utility: The flow payoff case

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  • Yin, Xiaoqing
  • Wang, Haijun

Abstract

This paper explores how payoff volatility (idiosyncratic volatility), time preference and investment-wealth ratio affect an entrepreneur's real investment decision in a constant relative risk aversion (CRRA) framework, when the investment project generates a flow payoff. We find that time preference has an important effect on the optimal investment threshold, which comes from wealth effects on the implied project value and the implied option value. Particularly, we discover that the optimal investment threshold is convex in time discount rate. At most cases, a larger payoff volatility increases the optimal investment threshold and makes the entrepreneur invest later. However, if the entrepreneur has lower risk aversion and more sufficient patience, a larger payoff volatility may decrease the optimal investment threshold and makes the entrepreneur invest earlier. Moreover, a higher investment-wealth ratio makes the entrepreneur invest later.

Suggested Citation

  • Yin, Xiaoqing & Wang, Haijun, 2025. "Real investment decision under CRRA utility: The flow payoff case," Journal of Economic Dynamics and Control, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:dyncon:v:177:y:2025:i:c:s016518892500096x
    DOI: 10.1016/j.jedc.2025.105130
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    1. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 1-55.
    2. Luo, Pengfei & Lu, Ting & Song, DanDan, 2021. "Real options for an entrepreneur with preferences for liquidity," Economics Letters, Elsevier, vol. 204(C).
    3. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2010. "Are Risk Aversion and Impatience Related to Cognitive Ability?," American Economic Review, American Economic Association, vol. 100(3), pages 1238-1260, June.
    4. Kyoung Jin Choi & Minsuk Kwak, 2022. "Valuing real options with endogenous payoff," Quantitative Finance, Taylor & Francis Journals, vol. 22(11), pages 2109-2123, November.
    5. Yingjie Niu & Jinqiang Yang & Zhentao Zou, 2021. "Investment decisions under incomplete markets in the presence of wealth effects," Journal of Economics, Springer, vol. 133(2), pages 167-189, July.
    6. Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2002. "The Returns to Entrepreneurial Investment: A Private Equity Premium Puzzle?," American Economic Review, American Economic Association, vol. 92(4), pages 745-778, September.
    7. Bo Liu & Yingjie Niu & Yingjue Wang, 2023. "The spirit of capitalism, investment, and consumption smoothing," The European Journal of Finance, Taylor & Francis Journals, vol. 29(14), pages 1598-1620, September.
    8. Gan, Liu & Xia, Xin, 2019. "Idiosyncratic risk, managerial discretion and capital structure," International Review of Economics & Finance, Elsevier, vol. 64(C), pages 586-599.
    9. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    10. Delaney, Laura, 2021. "A model of investment under uncertainty with time to build, market incompleteness and risk aversion," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1155-1167.
    11. Stefano Giglio & Matteo Maggiori & Krishna Rao & Johannes Stroebel & Andreas Weber & Stijn Van Nieuwerburgh, 2021. "Climate Change and Long-Run Discount Rates: Evidence from Real Estate [Abrupt climate change]," The Review of Financial Studies, Society for Financial Studies, vol. 34(8), pages 3527-3571.
    12. Xiaolin Wang & Zhaojun Yang & Pingping Zeng, 2023. "Pricing contingent convertibles with idiosyncratic risk," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 660-693, September.
    13. Grenadier, Steven R. & Wang, Neng, 2007. "Investment under uncertainty and time-inconsistent preferences," Journal of Financial Economics, Elsevier, vol. 84(1), pages 2-39, April.
    14. Hutton, Irena & Jiang, Danling & Kumar, Alok, 2014. "Corporate Policies of Republican Managers," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 49(5-6), pages 1279-1310, December.
    15. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    16. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    17. Choi, Kyoung Jin & Kwak, Minsuk & Shim, Gyoocheol, 2017. "Time preference and real investment," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 18-33.
    18. Leippold, Markus & Stromberg, Jacob, 2017. "Strategic technology adoption and hedging under incomplete markets," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 181-199.
    19. John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, June.
    20. Elettra Agliardi & Rossella Agliardi & Willem Spanjers, 2015. "Convertible Debt: Financing Decisions and Voluntary Conversion under Ambiguity," International Review of Finance, International Review of Finance Ltd., vol. 15(4), pages 599-611, December.
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    Keywords

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    JEL classification:

    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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