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 evi-dence, we...

The well-known Johansson-Samuelson Theorem proves that, in partial equilibrium, comprehensive income taxation with a uniform tax rate is neutral in terms of investment decisions, if fiscal depreciation allowances coincide with economic depreciation. In this article we show that this result does...

In this article, we analyze Auerbach's (1991) proposal of a retrospective capital gains tax, which is equivalent to an accrual tax on an ex-ante basis. Using a continuous-time model with stochastic interest rates, we prove that equivalence holds even if the risk-free asset return is correlated...

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...

The recent regulatory changes, together with the increasing awareness of the variety of sources of uncertainty that affect the activities of insurance and pension funds, have generated increasing attention towards insurance risk management theory and practice. Against this background, this...

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...

The global energy crisis that began in fall 2021 and the following spike in energy price constitute a major challenge for the world economy which risks undermining the post-COVID-19 recovery. In this paper, we develop and validate a new macroeconomic agent-based model with an endogenous energy...

In this work we solve in a closed form the problem of an agent who wants to optimise the inter-temporal utility of both his consumption and leisure by choosing: (i) the optimal inter-temporal consumption, (ii) the optimal inter-temporal labour supply, (iii) the optimal share of wealth to invest...

The digitization of power system represents one of the main instruments to achieve the target set by the European Union 2030 climate and energy Agenda of affordable energy transition. During the last years, such innovation process has been associated with the Smart Grid (SG) term. In this...