Different firms rely on different types of financial instruments to conduct their business, which differ in terms of how they are repaid to the investors, how secure the repayment is, who retains the control rights in the event of failure to repay, etc. The Modigliani Miller theorem (1958) notwithstanding, some firms choose to finance their investment project by issuing debts to the financial market, whereas others have to give investors equity stakes and some control rights. This paper attempts to address this observation by studying a situation where nonverifiability of cash flow and contractual incompleteness result in different optimal financial arrangements depending on the characteristics of an investment project to be undertaken.
Suppose that an investment project lasts for two periods, yielding a strictly positive expected net cash flow in each period, but that the cash flows accrue to entrepreneur and are not verifiable. Since a potential investor for the project is at the risk of expropriation by the entrepreneur, the investor will be reluctant to provide financing unless an appropriate financial arrangement is made. There can be two mechanisms to deal with this expropriation risk: one is the threat of liquidation after first-period default, and the other is the governance control which converts a part of cash flow into verifiable income and thus reduces the need for liquidation threat. These mechanisms, however, are not costless. A better governance mechanism costs more to design and maintain, and an actual liquidation results in the loss of positive surplus of the second period. Therefore, the optimal financial arrangement will maximize the (expected) net surplus while ensuring that the investor be repaid.