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What is the likelihood that the U.S. will experience a devastating catastrophic event over the next few decades -- something that would substantially reduce the capital stock, GDP and wealth? What does the possibility of such an event imply for the behavior of economic variables such as investment, interest rates, and equity prices? And how much should society be willing to pay to reduce the probability or likely impact of such an event? We address these questions using a general equilibrium model that describes production, capital accumulation, and household preferences, and includes as an integral part the possible arrival of catastrophic shocks. Calibrating the model to average values of economic and financial variables yields estimates of the implied expected mean arrival rate and impact distribution of catastrophic shocks. We also use the model to calculate the tax on consumption society would accept to reduce the probability or impact of a shock.
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Entrepreneurs face significant non-diversifiable business risks. We build a dynamic incomplete markets model of entrepreneurial finance to demonstrate the important implications of nondiversifiable risks for entrepreneurs' interdependent consumption, portfolio allocation, financing, investment, and business exit decisions. The optimal capital structure is determined by a generalized tradeoff model where leverage via risky non-recourse debt provides significant diversification benefits. More risk-averse entrepreneurs default earlier, but also choose higher leverage, even though leverage makes his equity more risky. Non-diversified entrepreneurs demand both systematic and idiosyncratic risk premium. Cash-out option and external equity further improve diversification and raise the entrepreneur's valuation of the firm. Finally, entrepreneurial risk aversion can overturn the risk-shifting incentives induced by risky debt.
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This paper proposes a simple homogeneous dynamic model of investment and corporate risk management for a financially constrained firm. Following Froot, Scharfstein, and Stein (1993), we define a corporation's risk management as the coordination of investment and financing decisions. In our model, corporate risk management involves internal liquidity management, financial hedging, and investment. We determine a firm's optimal cash, investment, asset sales, credit line, external equity finance, and payout policies as functions of the following key parameters: 1) the firm's earnings growth and cash-flow risk; 2) the external cost of financing; 3) the firm's liquidation value; 4) the opportunity cost of holding cash; 5) investment adjustment and asset sales costs; and 6) the return and covariance characteristics of hedging assets the firm can invest in. The optimal cash inventory policy takes the form of a double-barrier policy where i) cash is paid out to shareholders only when the cash-capital ratio hits an endogenous upper barrier, and ii) external funds are raised only when the firm has depleted its cash. In between the two barriers, the firm adjusts its capital expenditures, asset sales, and hedging policies. Several new insights emerge from our analysis. For example, we find an inverse relation between marginal Tobin's q and investment when the firm draws on its credit line. We also find that financially constrained firms may have a lower equity beta in equilibrium because these firms tend to hold higher precautionary cash inventories.
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Firms face uncertain financing conditions and are exposed to the risk of a sudden rise in financing costs during financial crises. We develop a tractable model of dynamic corporate financial management (cash accumulation, investment, equity issuance, risk management, and payout policies) for a financially constrained firm facing time-varying external financing costs. Firms value financial slack and build cash reserves to mitigate financial constraints. However, uncertainty about future financing opportunities also induce firms to rationally time the equity market, even if they have no immediate needs for cash. The stochastic financing conditions have rich implications for investment and risk management: (1) investment can be decreasing in financial slack; (2) firms may invest less as expected future financing costs fall; (3) investment-cash sensitivity, marginal value of cash, and firm's risk premium can all be non-monotonic in cash holdings; (4) speculation (as opposed to hedging) can be value-maximizing for financially constrained firms.
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An entrepreneur faces substantial non-diversifiable business risk and liquidity constraints, both of which we refer to as frictions. We show that these frictions have significant economic effects on business start-up, capital accumulation/asset sales, portfolio allocation, consumption/saving, and business exit decisions. Compared with the complete-markets benchmark, these frictions make entrepreneurs invest substantially less in the business, consume less, and allocate less to the market portfolio. The endogenous exit option provides flexibility for the entrepreneur to manage downside risk. The entrepreneur's optimal entry decision critically depends on the outside option, the start-up cost, risk aversion, and wealth. We show that the flexibility to build up financial wealth before entering into entrepreneurship is quite valuable. Finally, we provide an operational framework to calculate the private equity idiosyncratic risk premium for an entrepreneurial firm and show that this premium depends on entrepreneurial wealth, non-diversifiable risk exposure, and risk aversion.
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