This paper determines the optimal ownership share held by a unit into a second unit, when both face a tax-bankruptcy trade-off. Full ownership is optimal when the first unit has positive debt, because dividends help avoid its default. Positive debt is, in turn, optimal when its corporate tax...

In a world dominated by uncertainty, modeling and understanding the optimal behavior of agents is of the utmost importance. Many problems in economics, finance, and actuarial science naturally require decision makers to undertake choices in stochastic environments. Examples include optimal...

We model a risk-averse firm owner who wants to maximize the intertemporal expected utility of firm’s dividends. The optimal dynamic control problem is characterized by two stochastic state variables: the equity value, and profitability (ROA) of the _rm. According to the empirical evidence, we...

We develop a dynamic model economy where self-employed entrepreneurs allocate their net worth to their firm capital and risk-less government bonds, facing borrowing constraints, uninsurable labour endowment and capital depreciation risk. We derive a numerical approximation of the model’s...

We derive a closed form solution for the optimal consumption/investment problem of an agent whose force of mortality is stochastic and whose financial horizon coincides with a fixed retirement date. The investment set includes a longevity asset, as a derivative on the force of mortality. We...

We model a risk-averse firm owner who wants to maximize the intertemporal expected utility of firm’s dividends. The optimal dynamic control problem is characterized by two stochastic state variables: the equity value, and profitability (ROA) of the _rm. According to the empirical evidence, we...