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Investment, consumption and hedging under incomplete markets

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Author Info
Jianjun Miao
Neng Wang () (Finance and Economics Columbia Business School)

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Abstract

Entrepreneurs often face undiversifiable idiosyncratic risks from their business investments. Motivated by this observation, we extend the standard real options approach to investment to an incomplete markets environment and analyze the joint decisions of business investments, consumption-saving and portfolio selection. We show that precautionary saving motive affects the investment timing decision in an important way. When the investment payoffs are given in lump sum, risk aversion accelerates investment. Moreover, when the agent's precautionary motive is strong enough, an increase in volatility may accelerate investment, opposite to the standard real options analysis. When the agent can trade the market portfolio to partially hedge against his investment risk, the systematic volatility is compensated via the standard CAPM argument, and the idiosyncratic volatility generates a private equity premium. When the investment payoffs are given in flows, the agent's idiosyncratic risk exposure alters both the implied option value and the implied project value, causing the reversal of the results in the lump sum payoff case.

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Paper provided by Society for Economic Dynamics in its series 2006 Meeting Papers with number 289.

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Date of creation: 03 Dec 2006
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Handle: RePEc:red:sed006:289

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Related research
Keywords: real options; idiosyncratic risk; precautionary saving; incomplete markets;

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Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Capital and Ownership Structure
E2 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment

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Cited by:
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  1. Dirk Hackbarth & Jianjun Maio, 2007. "The Dynamics of Mergers and Acquisitions in Oligopolistic Industries," Boston University - Department of Economics - Working Papers Series WP2007-017, Boston University - Department of Economics. [Downloadable!]
  2. Jean-Paul Décamps & Stéphane Villeneuve, 2007. "Optimal dividend policy and growth option," Finance and Stochastics, Springer, vol. 11(1), pages 3-27, January. [Downloadable!] (restricted)
  3. Hui Chen & Jianjun Miao & Neng Wang, 2009. "Entrepreneurial Finance and Non-diversifiable Risk," NBER Working Papers 14848, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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