首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 31 毫秒
1.
We consider two insurance companies with wealth processes described by two independent Brownian motions with drift. The goal of the companies is to maximize their expected aggregated discounted dividend payments until ruin. The companies are allowed to help each other by means of transfer payments. But in contrast to Gu et al. [(2018). Optimal dividend strategies of two collaborating businesses in the diffusion approximation model. Mathematics of Operations Research 43(2), 377–398], they are not obliged to do so, if one company faces ruin. We show that the problem is equivalent to a mixture of a one-dimensional singular control problem and an optimal stopping problem. The value function is explicitly constructed and a verification result is proved. Moreover, the optimal strategy is provided as well.  相似文献   

2.
3.
In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer is of CRRA form. By solving the corresponding Hamilton–Jacobi–Bellman equation, we identify the value function and the corresponding optimal strategy. We also analyze the asymptotic behavior of the value function for large initial reserves. Finally, we provide some numerical examples to illustrate the results and analyze the sensitivity of the parameters.  相似文献   

4.
In this paper, we consider the optimal dividend problem with transaction costs when the incomes of a company can be described by an upward jump model. Both fixed and proportional costs are considered in the problem. The value function is defined as the expected total discounted dividends up to the time of ruin. Although the same problem has already been studied in the pure diffusion model and the spectrally negative Lévy process, the optimal dividend problem in an upward jump model has two different aspects in determining the optimal dividends barrier and in the property of the value function. First, the value function is twice continuous differentiable in the diffusion case, but it is not in the jump model. Second, under the spectrally negative Lévy process, downward jumps will not cause any payment actions; however, it might trigger dividend payments when there are upward jumps. In deriving the optimal barriers, we show that the value function is bounded by a linear function. Using this property, we establish the verification theorem for the value function. By solving the quasi-variational inequalities associated with this problem, we obtain the closed-form solution to the value function and hence the optimal dividend strategy when the income sizes follow a common exponential distribution. In the presence of a fixed transaction cost, it is shown that the optimal strategy is a two-barrier policy, and the optimal barriers are only dependent on the fixed cost and not the proportional cost. A numerical example is used to illustrate how the fixed cost plays a significant role in the optimal dividend strategy and also the value function. Moreover, an increased fixed cost results in larger but less frequent dividend payments.  相似文献   

5.
In this paper, we study optimal dividend problem in the classical risk model. Transaction costs and taxes are required when dividends occur. The problem is formulated as a stochastic impulse control problem. By solving the corresponding quasi-variational inequality, we obtain the analytical solutions of the optimal return function and the optimal dividend strategy when claims are exponentially distributed. We also find a formula for the expected time between dividends. The results show that, as the dividend tax rate decreases, it is optimal for the shareholders to receive smaller but more frequent dividend payments.  相似文献   

6.
We analyze the optimal design of debt maturity, coupon payments, and dividend payout restrictions under asymmetric information. We show that, if the asymmetry of information is concentrated around long-term cash flows, firms finance with coupon-bearing long-term debt that partially restricts dividend payments. If the asymmetry of information is concentrated around near-term cash flows and there exists considerable refinancing risk, firms finance with coupon-bearing long-term debt that does not restrict dividend payments. Finally, if the asymmetry of information is uniformly distributed across dates, firms finance with short-term debt.  相似文献   

7.
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 pay-out dynamically with the objective to maximize the expected total discounted dividends until ruin. We show that the optimal strategy, is a band strategy and it is optimal to pay no dividends when the reserve is negative.  相似文献   

8.
In the context of an insurance portfolio which provides dividend income for the insurance company’s shareholders, an important problem in risk theory is how the premium income will be paid to the shareholders as dividends according to a barrier strategy until the next claim occurs whenever the surplus attains the level of ‘barrier’. In this paper, we are concerned with the estimation of optimal dividend barrier, defined as the level of the barrier that maximizes the expected discounted dividends until ruin, under the widely used compound Poisson model as the aggregate claims process. We propose a semi-parametric statistical procedure for estimation of the optimal dividend barrier, which is critically needed in applications. We first construct a consistent estimator of the objective function that is complexly related to the expected discounted dividends and then the estimated optimal dividend barrier as the minimizer of the estimated objective function. In theory, we show that the constructed estimator of the optimal dividend barrier is statistically consistent. Numerical experiments by both simulated and real data analyses demonstrate that the proposed estimators work reasonably well with an appropriate size of samples.  相似文献   

9.
We consider a diffusion approximation to a risk process with dividends and capital injections. Tax has to be paid on dividends, but capital injections lead to an exemption from tax. That is, tax is only paid for the aggregate excess of dividends over the capital injections. The value of a strategy is the expected value of the discounted dividend payments after tax minus the discounted capital injections. We solve the problem and show that the optimal dividend strategy is a barrier strategy.  相似文献   

10.
In the context of collective risk theory, we give a sample path identity relating capital injections in the original model and dividend payments in the time-reversed counterpart. We exploit this duality to provide an alternative view on some of the known results on the expected discounted capital injections and dividend payments for risk models driven by spectrally negative Lévy processes. Furthermore, we present a probabilistic analysis and simple resulting expressions for a model with two dividend barriers, which was recently shown by Schmidli to be optimal in various Lévy risk models when maximizing the difference of dividend payments and injections in the presence of tax exemptions.  相似文献   

11.
This paper investigates the effects of seniority rules and restrictive dividend convenants on the over- and under-investment incentives associated with risky debt. We show that increasing seniority of new debt decreases the incidence of under-investment but increases over-investment, and vice versa. Under symmetric information, the optimal seniority rule is to give new debtholders first claim on a new project without recourse to existing assets (i.e., project financing). Under asymmetric information, the optimal debt contract requires equating the expected return to new debtholders in the default state to the new project's cash flow in the same rate. If this is not possible, the optimal seniority rule calls for strict subordination of new debt if the expected cash flow in default is small and full seniority if it is large. With regard to dividend convenants, we show that their effect depends on whether or not dividend payments are conditioned on future investments. When they are unconditioned, allowing more dividends increases the under-investment incentive. In contrast, conditional dividends decrease the underinvestment incentive and increase the over-investment incentive.  相似文献   

12.
This article investigates market reactions to initiations and omissions of cash dividend payments. Consistent with prior literature we find that the magnitude of short-run price reactions to omissions are greater than for initiations. In the year following the announcements, prices continue to drift in the same direction, though the drift following omissions is stronger and more robust. This post-dividend initiation/omission price drift is distinct from and more pronounced than that following earnings surprises. A trading rule employing both samples earns positive returns in 22 out of 25 years. We find little evidence for clientele shifts in either sample.  相似文献   

13.
This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study in this general framework of both restricted and unrestricted payment schemes, which were only previously treated separately in certain special cases of risk models in the literature. In the case of restricted payment scheme, the value function is shown to be a classical solution of the corresponding HJB equation, which in turn leads to an optimal restricted payment policy known as the threshold strategy. In the case of unrestricted payment scheme, by solving the associated integro-differential quasi-variational inequality, we obtain the value function as well as an optimal unrestricted dividend payment scheme known as the barrier strategy. When claim sizes are exponentially distributed, we provide easily verifiable conditions under which the threshold and barrier strategies are optimal restricted and unrestricted dividend payment policies, respectively. The main results are illustrated with several examples, including a new example concerning regressive growth rates.  相似文献   

14.
This paper addresses the problem of finding an optimal dividend policy for a class of jump-diffusion 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. Each dividend payment is changed by a fixed and a proportional cost, meaning that if ?? is paid out by the company, the shareholders receive k???K, where k and K are positive. The aim is to maximize expected discounted dividends until ruin. It is proved that when the jumps belong to a certain class of light-tailed distributions, the optimal policy is a simple lump sum policy, that is, when assets are equal to or larger than an upper barrier $\bar{u}^{*}$ , they are immediately reduced to a lower barrier $\underline{u}^{*}$ through a dividend payment. The case with K=0 is also investigated briefly, and the optimal policy is shown to be a reflecting barrier policy for the same light-tailed class. Methods to numerically verify whether a simple lump sum barrier strategy is optimal for any jump distribution are provided at the end of the paper, and some numerical examples are given.  相似文献   

15.
Abstract

In the absence of investment and dividend payments, the surplus is modeled by a Brownian motion. But now assume that the surplus earns investment income at a constant rate of credit interest. Dividends are paid to the shareholders according to a barrier strategy. It is shown how the expected discounted value of the dividends and the optimal dividend barrier can be calculated; Kummer’s confluent hypergeometric differential equation plays a key role in this context. An alternative assumption is that business can go on after ruin, as long as it is profitable. When the surplus is negative, a higher rate of debit interest is applied. Several numerical examples document the influence of the parameters on the optimal dividend strategy.  相似文献   

16.
In the framework of classical risk theory we investigate a model that allows for dividend payments according to a time-dependent linear barrier strategy. Partial integro-differential equations for Gerber and Shiu's discounted penalty function and for the moment generating function of the discounted sum of dividend payments are derived, which generalizes several recent results. Explicit expressions for the nth moment of the discounted sum of dividend payments and for the joint Laplace transform of the time to ruin and the surplus prior to ruin are derived for exponentially distributed claim amounts.  相似文献   

17.
We provide evidence of households’ stock market trading in response to clearly identifiable positive cash flow shocks: dividend payments and tender offer proceeds. Transaction cost motives appear important, and there is some support for rational portfolio rebalancing and life cycle considerations as well. Households’ tendency to reinvest is low, even for large and unexpected dividend payments. This is consistent with a default choice bias, and is not due to dividend clientele effects. Reinvestment of tender offer proceeds is significantly higher, controlling for other important factors. This is consistent with mental accounting, i.e., cash flows from different sources are treated differently.  相似文献   

18.
This paper examines the dividend payment decision of publicly owned firms listed on the Istanbul Stock Exchange (ISE) from 1991 through 2006. There is a decline in the percentage of net dividend payers, accompanied by a decline in the aggregate level of net real dividends paid. Contrary to the situation in developed markets, earnings and dividends concentration have declined over the sample period. The first mandatory dividend payment regulation pushed some firms to collect the distributed dividends back through rights issues and this resulted in low net dividend payments. One of the striking findings of this paper reveals that a majority of ISE firms prefer dividend omissions rather than dividend reductions. Once a firm keeps paying dividends, it puts much effort into increasing dividend payments rather than reducing them. Further, dividend payment and reduction decisions are affected by the current earnings of the firm and financial crisis significantly explains both the dividend payment and dividend reduction decisions.  相似文献   

19.
I investigate the determinants of dividend payments for Australian Multinational Corporations (MCs) and Domestic Corporations (DCs). Six measures of dividend payout ratios are investigated, and five international factors are employed in addition to traditional factors. I find: MCs pay significantly less regular cash, special cash, total dividends and net dividends relative to DCs; the degree of foreign involvement is important in determining special cash and net dividend payments; MCs are more active than DCs in dividend increasing activities; and MCs are significantly less likely to be a dividend payer relative to DCs due to tax disadvantages coupled with unfavourable foreign risk exposures.  相似文献   

20.
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号