
AbstractThe aim of this paper is to put forward a new family of risk measures that could guide investment decisions of private companies. But at the difference of the classical approach of Artzner, Delbaen, Eber, and Heath and the subsequent extensions of this model, our risk measures are built to reflect the risk perception of shareholders rather than regulators. Instead of an axiomatic approach, we derive risk measures from the optimal policies of a shareholder value‐maximizing company. We study these optimal policies and the related risk measures that we call shareholder risk measures. We emphasize the fact that due to the specific corporate environment, in particular the limited shareholders' liability and the possibility to pay out dividends from cash reserves, these risk measures are not convex. Also, they depend on the specific economic situation of the firm, in particular its current cash level, and thus they are not translation invariant. This paper bridges the gap between two important branches of mathematical finance: risk measures and optimal dividends.
Applications of statistics to actuarial sciences and financial mathematics, 1402 Accounting, shareholder's risk measure, 330, nonconvex risk measures, dividend optimization, 3301 Social Sciences (miscellaneous), 10003 Department of Finance, 2002 Economics and Econometrics, risk measures, 330 Economics, 2604 Applied Mathematics, 2003 Finance, Risk theory, insurance, cash reserves management, B- ECONOMIE ET FINANCE
Applications of statistics to actuarial sciences and financial mathematics, 1402 Accounting, shareholder's risk measure, 330, nonconvex risk measures, dividend optimization, 3301 Social Sciences (miscellaneous), 10003 Department of Finance, 2002 Economics and Econometrics, risk measures, 330 Economics, 2604 Applied Mathematics, 2003 Finance, Risk theory, insurance, cash reserves management, B- ECONOMIE ET FINANCE
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
