ON DIVIDENDS AND GERBER-SHIU ANALYSIS WITH CONSTANT INTEREST AND A PERIODIC-THRESHOLD MIXED STRATEGY

In recent years,the research focus in insurance risk theory has shifted towards multi-type mixed dividend strategies.However,the practical factors and constraints in financial market transactions,such as interest rates,tax rates,and transaction fees,inevitably impact these strategies.By incorporating appropriate constraints,a multi-type mixed strategy can better simulate real-world transactions.Following the approach of Liu et al.[28],we examine a classical compound Poisson risk model that incorporates the constraints of constant interest rates and a periodic-threshold mixed dividend strategy.In this model,the surplus process of insurance companies is influenced by several factors.These factors include constant interest rates,continuously distributed dividends within intervals(threshold dividend strategy),and dividends at discrete time points(periodic dividend strategy).We derive the piecewise integro-differential equations(IDEs)that describe the expected present value of dividends(EPVDs)until ruin time and the Gerber-Shiu expected discounted penalty function.Furthermore,we provide explicit solutions to these IDEs using an alternative method based on the inverse Laplace transform combined with the Dickson-Hipp operator.This enables us to obtain explicit expressions for the dividend and Gerber-Shiu functions.Additionally,we present examples to illustrate the application of our results.

Are Socially Responsible Banks More Risk Averse and Dividends Providers?Empirical Evidence from a Developing Economy

Purpose:This study examines whether socially responsible firms are uninterested in risk-taking and whether socially responsible banks are more dividend providers than socially irresponsible ones.We conducted the analysis using the least-squares method for 290-panel data observations of 32 commercial banks operating in Bangladesh from 2008 to 2018.Methodology:We employed Ordinary Least Squares Regression for 290-panel data observations of 32 commercial banks operating in Bangladesh from 2008 to 2018 using EViews software version-8.Moreover,we conducted descriptive analysis and correlations using SPSS software.We considered CSRI and CSRPI as the indicators of corporate social responsibility,dividend per share and stock dividend as a proxy of dividend policy,LEV(leverage),and non-performing loan to total loan as the indicators of financial risk,and lastly,Z score as the indicator of financial stability.Findings:Studies have shown that banks prioritizing social responsibility tend to pay dividends to their shareholders more frequently and consistently than banks that do not.In particular,banks that invest heavily in corporate social responsibility(CSR)tend to maintain a stable dividend payout,which can help address agency problems that arise from overinvestment in the CSR sector.Additionally,we found that banks that make huge expenditures on CSR also seem to have a low eagerness for risk-taking.Again,we found that the financial stability of a socially responsible bank is high and stable enough,which will help efficiently handle the bank’s financial risks,reduce price fluctuations,and increase financial assets that generally influence a bank’s monetary stability.Implications:Banks implementing fruitful CSR strategies can produce substantial shareholder advantages through high dividend payout levels.An expansion in CSR-related expenditure does not prompt a cut-down or reduce the portion of income paid out as dividends to shareholders.Therefore,the Output of our study will help provide critical information and a thorough understanding of corporate social responsibility and its association with the dividend policy,risk,and financial stability in the banking sector.This will also be useful to the researcher,students,and corporate policymakers while making a critical decision about whether a firm should make expenditures on CSR purposes,how it impacts a firm’s dividend decision,and its connection with its overall risk and financial stability.According to the study,corporate social responsibility should be integrated into a firm’s mission and strategy rather than appearing to be a mere act of generosity.Originality/Value:This study uniquely considers CSR,dividend policy,risk,and financial stability simultaneously in a developing country.Besides,the three-dimensional measures of CSR used in the research focused on developing the economy are a precious contribution.

Reform Dividends and Economic Convenience

Reform dividends refer to the improvements in certain economic actors under the new, reformed institutional system as compared against the original system. Reform leads to greater economic growth potential by changing the institutional environment, which in turn increases the vibrancy and innovation of economic actors. The most economically convenient system is also in actuality the most effective market economic system. Reform based on public and collective actions should be based on the following principle： if institutional reform is evolving towards the enhancement of economic convenience, then we can be sure that reform is embarking on the path of releasing dividends.

Extracting Information on Implied Volatilities and Discrete Dividends From American Option Prices

This paper deals with options on assets, such as stocks or indexes, which pay cash dividends. Pricing methods which consider discrete dividends are usually computationally expensive and become infeasible when one considers multiple dividends paid during the option lifetime. This is the case of long-term options and options on indexes. The first purpose of this paper is to assess efficient and accurate numerical procedures which yield consistent prices for both European and American options when the underlying asset pays discrete dividends. The authors then analyze some methodologies to extract information on implied volatilities and dividends from quoted option prices. Implied dividends can also be computed using a modified version of the well-known put-call parity relationship. This technique is straightforward, nevertheless, its use is limited to European options, and when dealing with equities, most traded options are of American type. As an alternative, the numerical inversion of pricing methods, such as efficient interpolated binomial method, can be used. This paper applies different procedures to obtain implied volatilities and dividends of listed stocks of the Italian derivatives market （IDEM）.

A BLACK－SCHOLES FORMULA FOR OPTIONPRICINGWITHDIVIDENDS

We obtain a Black Scholes formula for the arbitrage free pricing of European Call options with constant coefficients when the underlying stock generates dividends. To hedge the Call option, we will always borrow money form bank. We see the influence of the dividend term on the option pricing via the comparison theorem of BSDE(backward stochastic differential equation,). We also consider the option pricing problem in terms of the borrowing rate R which is not equal to the interest rate r. The corresponding Black Scholes formula is given. We notice that it is in fact the borrowing rate that plays the role in the pricing formula.

The Asian Option Pricing when Discrete Dividends Follow a Markov-Modulated Model

This paper is concerned with the pricing problem of the discrete arithmetic average Asian call option while the discrete dividends follow geometric Brownian motion. The volatility of the dividends model depends on the Markov-Modulated process. The binomial tree method, in which a more accurate factor has been used, is applied to solve the corresponding pricing problem. Finally, a numerical example with simulations is presented to demonstrate the effectiveness of the proposed method.

Harnessing Demographic Dividends

THE history of all developed economies and even the emerging ones have been their abilities to harness human resource into capital and use its diverse multiplier effects to create value chains spanning all other resources categories. In addition, this process unleashes outcomes that include a rise in national economic aggregates and more importantly, improved quality of living standards for citizens.

Still Reaping Dividends

CHINA’S sustained and fast economic development in the past decades has made great contributions to the progress and prosperity of the global economy,particularly to the stabilization and development of Africa’s economy.

EXPECTED PRESENT VALUE OF TOTAL DIVIDENDS IN THE COMPOUND BINOMIAL MODEL WITH DELAYED CLAIMS AND RANDOM INCOME

In this paper, a compound binomial model with a constant dividend barrier and random income is considered. Two types of individual claims, main claims and by-claims, are defined, where every by-claim is induced by the main claim and may be delayed for one time period with a certain probability. The premium income is assumed to another binomial process to capture the uncertainty of the customer＇s arrivals and payments. A system of difference equations with certain boundary conditions for the expected present value of total dividend payments prior to ruin is derived and solved. Explicit results are obtained when the claim sizes are Kn distributed or the claim size distributions have finite support. Numerical results are also provided to illustrate the impact of the delay of by-claims on the expected present value of dividends.

Periodic dividends and capital injections for a spectrally negative Lévy risk process under absolute ruin

The spectrally negative Lévy risk model with random observation times is considered in this paper,in which both dividends and capital injections are made at some independent Poisson observation times.Under the absolute ruin,the expected discounted dividends and the expected discounted capital injections are discussed.We also study the joint Laplace transforms including the absolute ruin time and the total dividends or the total capital injections.All the results are expressed in scale functions.

On the Expected Present Value of Total Dividends in a Risk Model with Potentially Delayed Claims

In this paper, we consider a risk model in which two types of individual claims, main claims and by-claims, are defined. Every by-claim is induced by the main claim randomly and may be delayed for one time period with a certain probability. The dividend policy that certain amount of dividends will be paid as long as the surplus is greater than a constant dividend barrier is also introduced into this delayed claims risk model. By means of the probability generating functions, formulae for the expected present value of total dividend payments prior to ruin are obtained for discrete-type individual claims. Explicit expressions for the corresponding results are derived for K n claim amount distributions. Numerical illustrations are also given.

Modelling Correlation between Shareholders Dividends and Corporate Performance in Nigeria

This study examined the modeling correlation between shareholders dividend and corporate performance in Nigeria.The study employed the ex post-facto research design.To obtain answers on the research questions and to test the hypotheses formulated,data were obtained from annual reports of companies listed on the floor of the Nigeria Stock Exchange(NSE)that disclosed a comparative statement for the period of 2010 to 2016.The data collected were analyzed using descriptive statistics.Specifically,simple regression analysis and paired sample t-test statistics were used to analyze the data.The results showed that there is no significant correlation between shareholders dividend payout and the explanatory variables in the model.These results taken as a whole indicate that banks pay dividend in Nigeria with the intention of reducing the agency conflict and maintaining firms'reputation.The study recommended that since the payment of dividend indicates the firm having a good earnings capacity,management should maintain a steady increase in earnings,cash flow,and dividend payment and establish a dividend policy that can be acceptable by various stakeholders.

The Effect of Dividends and Earnings per Share on the Stock Market Value by Moderating Bank Size

The aim of this study was to investigate the effect of dividend distributions and earnings per share by moderating bank size as measured by its total assets on the stock market value of banks operating in Jordan during the period between 2011 and 2016.The hypotheses of the study were tested based on multiple and hierarchical regression method.The most important result of the study is that the earnings per share is the strongest variable that helps in predicting the stock market value of the bank shares,in addition to the significant effect of bank size as measured by its total assets.

International Financial Investments, Double Taxation of Dividends and ＂Effective Taxation＂ in the Portuguese Tax System

The purpose of this paper is to analyze the tax treatment of dividends established in the Portuguese corporate income tax code. The tax code aims at eliminating double taxation, if certain conditions are met. However, if dividends received were not previously subject to effective taxation, the elimination of double taxation no longer applies. The meaning of effective taxation is not defmed nor quantified in the code. But it is of great importance to firms＇ tax planning. In this context, it is a quite important concept, and the paper will discuss it. The methodological approach is based on using a hypothetical situation where a group of finns＇ faces different dividend flows, from diverse origins, and how taxes affect the overall tax burden of the group. The paper highlights the negative implications of a legal void in a very important tax topic regarding dividend policy in holding companies. It shows a tax induced level of uncertainty in designing dividend policy, and how it hinders financial management of groups of firms. The main conclusion is that the lack of a legal or quantitative definition of what constitutes effective taxation is an important factor of tax complexity in planning intercompany dividend policy, and the concept should be revised in legal terms.

A Study on the Behavior of Large Stock Dividends and Stock Splits Among Chinese Listed Companies： A Case Study on Zoomlion＇s 2010 Middle-Term Stock Dividend Plan

This paper takes Zoomlion （Changsha Zoomlion Heavy Industry Science and Technology Development Co., Ltd） as an example and illustrates the reasons why traditional theories of stock dividends and stock splits cannot rationally explain the large stock dividend and stock split behavior among Chinese listed companies. The paper offers the following points after analyzing the current situation of China＇s capital market： As many investors seek after the stocks with large stock dividends and stock splits and form a ＂herd effect＂, it greatly pushes up the price of these stocks. Thus, companies＇ managers can cater these investors＇ irrational behavior, and help their companies get more funds from secondary equity offerings, or help their large shareholders and institutional investors to obtain more returns after lifting the sell restriction on their shares.

THE COMPOUND BINOMIAL MODEL WITH A CONSTANT DIVIDEND BARRIER AND PERIODICALLY PAID DIVIDENDS

Consider the compound binomial risk model with interest on the surplus under a constant dividend barrier and periodically paying dividends. A system of integral equations for the arbitrary moments of the sum of the discounted dividend payments until ruin is derived. Moreover, under a very relaxed condition, the solutions for arbitrary moments are obtained by setting up iteration processes because of a special property of the system of integral equations.

A Note on Moments of Dividends

We reconsider a formula for arbitrary moments of expected discounted dividend payments in a spectrally negative Lévy risk model that was obtained in Renaud and Zhou （2007, [4]） and in Kyprianou and Palmowski （2007, [3]） and extend the result to stationary Markov processes that are skip-free upwards.

Optimization of risk policy and dividends with fixed transaction costs under interest rate

In this paper, we consider the dividend optimization problem for a financial corporation with transaction costs. Besides the dividend control, the financial corporation takes proportional reinsurance to reduce risk and the surplus earns interest at the constant force p 〉 0. Because of the presence of fixed transaction costs, the problem becomes a mixed classical-impulse stochastic control problem. We solve this problem explicitly and construct the value function together with the optimal policy

Differentiability of dividends function on jump-diffusion risk process with a barrier dividend strategy

We consider a dividends model with a stochastic jump perturbed by diffusion. First, we prove that the expected discounted dividends function is twice continuously differentiable under the condition that the claim distribution function has continuous density. Then we show that the expected discounted dividends function under a barrier strategy satisfies some integro-differential equation of defective renewal type, and the solution of which can be explicitly expressed as a convolution formula. Finally, we study the Laplace transform of ruin time on the modified surplus process.

The Optimal Investment,Liability and Dividends in Insurance

In this paper,we build an optimal control model with the objective to maximize the expected value of the time discount utility by selecting optimal investment,liability and dividend strategies for insurance companies.We then use the techniques from Merton(J Econ Theory 3(4):373–413,1971)to solve our optimal control problem and deduce the optimal control solutions.Finally,we analyze the economic impacts on the optimal controls of the parameters in insurance market.