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Valuing Private Equity

Review of Financial Studies 2014 27(7), 1977-2021
We investigate whether the performance of private equity (PE) investments is sufficient to compensate investors (LPs) for risk, long-term illiquidity, management, and incentive fees charged by the general partner (GP). We analyze the LPs' portfolio-choice problem and find that management fees, carried interest, and illiquidity are costly, and GPs must generate substantial alpha to compensate LPs for bearing these costs. Debt is cheap and reduces these costs, potentially explaining the high leverage of buyout transactions. Conventional interpretations of PE performance measures appear optimistic. On average, LPs may just break even, net of management fees, carry, risk, and costs of illiquidity.

Entrepreneurial Finance and Nondiversifiable Risk

Review of Financial Studies 2010 23(12), 4348-4388
[We develop a dynamic incomplete-markets model of entrepreneurial firms, and demonstrate the implications of nondiversifiable risks for entrepreneurs' interdependent consumption, portfolio allocation, financing, investment, and business exit decisions. We characterize the optimal capital structure via a generalized tradeoff model where risky debt provides significant diversification benefits. Nondiversifiable risks have several important implications: More risk-averse entrepreneurs default earlier, but choose higher leverage; lack of diversification causes entrepreneurial firms to underinvest relative to public firms, and risky debt partially alleviates this problem; and entrepreneurial risk aversion can overturn the risk-shifting incentives induced by risky debt. We also analytically characterize the idiosyncratic risk premium.]

Caballero Meets Bewley: The Permanent-Income Hypothesis in General Equilibrium

American Economic Review 2003 93(3), 927-936
The permanent-income hypothesis (PIH) of Milton Friedman (1957) states that the agent saves in anticipation of possible future declines in labor income (John Y. Campbell, 1987). He also saves for precautionary reasons, and dissaves because of impatience. To justify the PIH in an intertemporal optimization framework, it has been conventional to assume both (i) quadratic utility, to turn off precautionary motives (Robert E. Hall, 1978), and (ii) equality between the subjective discount rate and the interest rate, in order to rule out dissavings for lack of patience. Neither assumption is plausible. Much work on consumption in the past decade has focused on individual’s precautionary savings motives and liquidity constraints. Impatience is a standard result in heterogeneousagents general-equilibrium incomplete-markets models, generally known as Bewley models. This paper shows that the PIH is in any case the optimal rule, in a Bewley model, in which each agent solves the precautionary-savings model of Caballero (1990, 1991). In addition to the demand for savings for a “rainy day,” Caballero’s model also predicts a constant precautionary-savings demand and constant dissavings due to impatience. In equilibrium, I show that these two forces must cancel each other. As a result, the agent behaves in accordance with the PIH. Section I describes the model. Section II concludes. The Appendix provides a heuristic derivation and a proof of the optimal consumption rule.

Investment, consumption, and hedging under incomplete markets

Journal of Financial Economics 2007 86(3), 608-642
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.

Investment timing, agency, and information

Journal of Financial Economics 2005 75(3), 493-533 open access
This paper provides a model of investment timing by managers in a decentralized firm in the presence of agency conflicts and information asymmetries. When investment decisions are delegated to managers, contracts must be designed to provide incentives for managers to both extend effort and truthfully reveal private information. Using a real options approach, we show that an underlying option to invest can be decomposed into two components: a manager's option and an owner's option. The implied investment behavior differs significantly from that of the first-best no-agency solution. In particular, greater inertia occurs in investment, as the model predicts that the manager will have a more valuable option to wait than the owner.

Capital Reallocation and Growth

American Economic Review 2009 99(2), 560-566
Heterogeneity is ubiquitous in firm-level and sectoral data. Equilibrium models, how-ever, typically assume a representative firm, as in Andrew B. Abel and Olivier J. Blanchard (1983). The representative firm paradigm leaves no role for the distribution of capital. We model capital reallocation in a general equilibrium model with two sectors. Capital adjustment costs capture illiquidity in our model, similar to Hirofumi Uzawa’s (1969) capital installation technology. We follow Fumio Hayashi (1982) in assuming that the production technology is linearly homogeneous, which allows us to focus on the sectoral distribution of capital, separately from the level of total capital. The two sectors may have different levels of productivity, and we show that the distribution of capital between the two sectors is the single state variable gov-erning investment, growth, and valuation in the economy.We analytically characterize prices and quan-tities, including investment, growth, the interest rate, and the price of capital (Tobin’s

Agency Conflicts, Investment, and Asset Pricing

Journal of Finance 2008 63(1), 1-40 open access
ABSTRACT The separation of ownership and control allows controlling shareholders to pursue private benefits. We develop an analytically tractable dynamic stochastic general equilibrium model to study asset pricing and welfare implications of imperfect investor protection. Consistent with empirical evidence, the model predicts that countries with weaker investor protection have more incentives to overinvest, lower Tobin's q , higher return volatility, larger risk premia, and higher interest rate. Calibrating the model to the Korean economy reveals that perfecting investor protection increases the stock market's value by 22%, a gain for which outside shareholders are willing to pay 11% of their capital stock.

Dynamic Investment, Capital Structure, and Debt Overhang

The Review of Corporate Finance Studies 2015 4(1), 1-42
We develop a dynamic contingent-claim framework to model S. Myers’s idea that a firm is a collection of growth options and assets in place. The firm’s composition between assets in place and growth options evolves endogenously with its investment opportunity set and its financing of growth options, as well as its dynamic leverage and default decisions. The firm trades off tax benefits with the potential financial distress and endogenous debt-overhang costs over its life cycle. Unlike the standard capital structure models of Leland, our model shows that financing and anticipated endogenous default decisions have significant implications of firms’ growth-option exercising decisions and leverage policies. The firm’s ability to use risky debt to borrow against its assets in place and growth options substantially influences its investment strategies and its value. Quantitatively, we find that the firm consistently chooses conservative leverage in line with empirical evidence in order to mitigate the debt-overhang effect on the exercising decisions for future growth options. Finally, we find that debt seniority and debt priority structures have both conceptually important and quantitatively significant implications on growth-option exercising and leverage decisions as different debt structures have very different debt-overhang implications.

Dynamic Trading with Realization Utility

Journal of Finance 2026 81(1), 189-238
ABSTRACT An investor receives utility bursts from realizing gains and losses at the individual stock level and dynamically allocates his mental budget between risky and risk‐free assets at the trading account level. Using savings, he reduces his stockholdings and is more willing to realize losses. Using leverage, he increases his stockholdings beyond his mental budget and is more reluctant to realize losses. While leverage strengthens the disposition effect, introducing leverage constraints mitigates it. Our model predicts that investors with stocks in deep losses sell them either immediately or after stocks rebound a little.

The economics of hedge funds

Journal of Financial Economics 2013 110(2), 300-323
Hedge fund managers trade off the benefits of leveraging on the alpha-generating strategy against the costs of inefficient fund liquidation. In contrast to the standard risk-seeking intuition, even with a constant-return-to-scale alpha-generating strategy, a risk-neutral manager becomes endogenously risk-averse and decreases leverage following poor performance to increase the fund's survival likelihood. Our calibration suggests that management fees are the majority of the total compensation. Money flows, managerial restart options, and management ownership increase the importance of high-water-mark-based incentive fees but management fees remain the majority. Investors' valuation of fees are highly sensitive to their assessments of the manager's skill.