TY - JOUR AU - Miao,Jianjun AU - Wang,Neng TI - Investment, Consumption, and Hedging under Incomplete Markets JF - National Bureau of Economic Research Working Paper Series VL - No. 13250 PY - 2007 Y2 - July 2007 UR - http://www.nber.org/papers/w13250 L1 - http://www.nber.org/papers/w13250.pdf N1 - Author contact info: Jianjun Miao Department of Economics Boston University 270 Bay State Road Boston MA 02215 E-Mail: miaoj@bu.edu Neng Wang Columbia Business School 3022 Broadway, Uris Hall 812 New York, NY 10027 Tel: 212/854-3869 Fax: 212/662-8474 E-Mail: nw2128@columbia.edu AB - Entrepreneurs often face undiversifiable idiosyncratic risks from their business investments. We extend the standard real options approach to an incomplete markets environment and analyze the joint decisions of business investments, consumption/savings, and portfolio selection. For a lump-sum investment payoff and an agent with a sufficiently strong precautionary savings motive, an increase in volatility can accelerate investment, contrary to the standard real options analysis. When the agent can trade the market portfolio to partially hedge against investment risk, the systematic volatility is compensated via the standard CAPM argument, and the idiosyncratic volatility generates a private equity premium. Finally, when the investment payoff is a series of flows, the agent's idiosyncratic risk exposure alters both the implied option value and the implied project value, causing a reversal of the results in the lump-sum payoff case. ER -