Consumption-investment problem with transaction costs for Lévy-driven price processes

We consider an optimal control problem for a linear stochastic integro-differential equation with conic constraints on the phase variable and with the control of singular–regular type. Our setting includes consumption-investment problems for models of financial markets in the presence of proportional transaction costs, where the prices of the assets are given by a geometric Lévy process, and the investor is allowed to take short positions. We prove that the Bellman function of the problem is a viscosity solution of an HJB equation. A uniqueness theorem for the solution of the latter is established. Special attention is paid to the dynamic programming principle.     

The HM ‘Treasure's Island’: The Application of Accruals-based Accounting Standards in the UK Government

Since the 1990s, UK has been progressively adopting a governmental accounting reform purporting to interpret and mimic accounting standards and practices from the private sector. Since 2009, the UK set of accounting standards applicable to the whole of governmental entities is based upon the HM Treasury's official interpretation of the international accounting standards initially designed for commercial enterprises, the latter standards having extensively inspired the International Public Sector Accounting Standards. This article analyses some representational concerns raised by its application of a balance sheet accounting approach to the public administration, pointing to consolidation perimeter, current value measurement of assets and liabilities and the case of public–private partnerships. This theoretical analysis develops relevant implications for representation and control of public spending and borrowing in UK and in general.     

Taxation, agency conflicts, and the choice between callable and convertible debt

We analyze debt choice in light of taxes and moral hazard. The model features an infinite sequence of nonzero-sum stochastic differential games between equity and debt. Closed-form expressions are derived for all contingent-claims. If equity can increase volatility without reducing asset drift, callable bonds with call premia are optimal. Although callable bonds induce risk shifting, call premia precommit equity to less frequent restructuring and are tax-advantaged. Convertible bonds mitigate risk shifting, but only induce hedging if assets are far from the default threshold. Convertibles are optimal only if risk shifting reduces asset drift sufficiently.