In the talk we will address the problem of finding an optimal dividend policy for a class of jumpdiffusion processes. The jump component is a compound Poisson process with negative jumps, and the drift and diffusion components are assumed to satisfy some regularity and growth restrictions. With each dividend payment there is associated a fixed and a proportional cost. The aim is to maximize exp...

We consider the classical optimal dividend control problem which was proposed by de Finetti [Trans. XVth Internat. Congress Actuaries 2 (1957) 433–443]. Recently Avram, Palmowski and Pistorius [Ann. Appl. Probab. 17 (2007) 156–180] studied the case when the risk process is modeled by a general spectrally negative Lévy process. We draw upon their results and give sufficient conditions under whic...

Optimal dividend payment under a ruin constraint is a two objective control problem 1 which – in simple models – can be solved numerically by three essentially different methods. One 2 is based on a modified Bellman equation and the policy improvement method (see (2003)). In this 3 paper we use explicit formulas for running allowed ruin probabilities which avoid a complete search 4 and speed up...

Consider an optimization problem for a company with the following parameters: a constant liability payment rate (δ), an average return (μ) and a risk (σ ) proportional to the size of the business unit, and an internal competition factor (α) between different units. The goal is to maximize the expected present value of the total dividend distributions, via controls (Ut , Zt ), where Ut is the si...

This paper aims to determine the impact of dividend policy on stock price volatility by taking firms listed on Tehran stock exchange.  A sample of 68 listed companies from Tehran stock exchange is examined for a period from 2001 to 2012.  The estimation is based on cross-sectional ordinary least square regression analysis to find the relationship between share price volatility and dividend poli...

This paper presents evidence of persistent ‘bull’ and ‘bear’ regimes in UK stock returns and considers their economic implications from the perspective of an investor’s portfolio decisions. We Þnd that the perceived state probability has a large effect on the optimal allocation to stocks, particularly at short investment horizons. If ignored, the presence of such regimes gives rise to welfare c...

This paper investigates dividend optimization of an insurance corporation under a more realistic model which takes into consideration refinancing or capital injections. The model follows the compound Poisson framework with credit interest for positive reserve, and debit interest for negative reserve. Ruin occurs when the reserve drops below the critical value. The company controls the dividend ...

This paper derives the optimal debt ratio and dividend payment strategies for an insurance company. Taking into account the impact of reinsurance policies and claims from the credit derivatives, the surplus process is stochastic that is jointly determined by the reinsurance strategies, debt levels, and unanticipated shocks. The objective is to maximize the total expected discounted utility of d...