In this paper we model the derivative strategies optimally undertaken by a manager (or head of a profit center in a hedge fund) when the detailed derivative positions taken are not contractible. We show that with commonly-used incentive features in the compensation structure, managers have incentives to implement complex derivative strategies that lead to a slight reduction in default probabilities (or a slight increase in performance measures) with a high probability at the cost of allowing for the possibility of disaster states involving large losses, although with a very small probability. Such disaster states cause systemic instability (similar to the experience of Long-Term Capital Management in September 1998). We discuss possible audit strategies, governance mechanisms and incentive structures that will ameliorate the probability of systemic instability arising from such incentives in a market with a rich enough menu of derivatives. We characterize the optimal intensity of audit effort with and without the presence of such derivative strategies. The dependence of the optimal audit intensity on the legal liability regime and different rules for apportioning the auditor's liability is derived. Our results also relate the optimal audit intensity to the cost and efficiency parameters of the audit firm.

The paper provides sufficient conditions under which a nonrandom economic variable specific to some asset (the dependent variable) can be represented as a linear combination of the betas of some random characteristics of the asset (the independent variables) with some economy-wide factors. This generalizes Ross' APT that proves the above in the case where the dependent variables are expected returns and the independent variables are returns. This generalization will provide a theoretical basis for many existing multibeta relationships beyond the setting of asset pricing models and, thus, motivate their wider use in empirical and theoretical research.

The Arrow-Debreu approach to general equilibrium in an economy has been recognized as one of the most general and conceptually elegant frameworks for the study of financial problems under uncertainty [2], [9]. Equally well known is its elusiveness when it comes to ready application to practical problems (like capital budgeting) or empirical testing. (See [6], [15]–[18].) However, some recent research (see [1], [3], [6], [12]–[16], [18], and [19]) has made a serious attempt to put the state-preference theoretic model in an operational setting. Breeden and Litzenberger [6] have developed an interesting approach to derive constructively the prices of elementary Arrow-Debreu securities from the prices of call options on aggregate consumption. Banz and Miller [3] use a similar technique to value capital budgeting projects based on values for state-contingent claims computed from prices of call options written on the market portfolio. The “supershare†securities proposed by Hakansson [14]–[16] and related work by Garman [13], Ross [24], etc., have also served to give the so-called “state-contingent†approach a practical flavor.

This paper examines optimal corporate financing arrangements under asymmetric information for different patterns of temporal resolution of uncertainty in the underlying technology. An agency problem, a signalling problem and an agency‐signalling problem arise as special cases. The associated informational equilibria and the optimal financing arrangements are characterized and compared. In the agency‐signalling equilibrium the private information of corporate insiders at the time of financing is signalled through capital structure choices which deviate optimally from agency‐cost minimizing financing arrangements, which in turn induce risk‐shifting incentives in the investment policy. In the pure signalling case the equilibrium is characterized by direct contractual precommitments to implement investment policies which are riskier than pareto‐optimal levels. Empirical implications for debt covenants and the announcement effect of investment policies and leverage increasing transactions on existing stock and bond prices are explicitly derived.

Under the same assumptions that Ross used to assert the existence of an efficient fund (on which a spanning set of options can be written) we prove that almost any portfolio is an efficient fund. From a constructive point of view, a randomly chosen vector of portfolio weights yields an efficient fund. When the Ross assumptions are relaxed, a limited notion of efficiency‐maximal efficiency‐is the best attainable. The maximally efficient funds are also everywhere dense in the portfolio space. Some implications are discussed and illustrative examples given.