ON DE FINETTI'S OPTIMAL IMPULSE DIVIDEND CONTROL PROBLEM UNDER CHAPTER 11 BANKRUPTCY

Motivated by recent advances made in the study of dividend control and risk management problems involving the U.S.bankruptcy code,in this paper we follow[44]to revisit the De Finetti dividend control problem under the reorganization process and the regulator's intervention documented in U.S.Chapter 11 bankruptcy.We do this by further accommodating the fixed transaction costs on dividends to imitate the real-world procedure of dividend payments.Incorporating the fixed transaction costs transforms the targeting optimal dividend problem into an impulse control problem rather than a singular control problem,and hence computations and proofs that are distinct from[44]are needed.To account for the financial stress that is due to the more subtle concept of Chapter 11 bankruptcy,the surplus process after dividends is driven by a piece-wise spectrally negative Lévy process with endogenous regime switching.Some explicit expressions of the expected net present values under a double barrier dividend strategy,new to the literature,are established in terms of scale functions.With the help of these expressions,we are able to characterize the optimal strategy among the set of admissible double barrier dividend strategies.When the tail of the Lévy measure is log-convex,this optimal double barrier dividend strategy is then verified as the optimal dividend strategy,solving our optimal impulse control problem.

“China Shock”or China Dividend?-China GVC Participation’s Effects on Trading Partners’Technological Progress

This paper explores the effects of China’s global value chain(GVC)participation on technological progress in trading-partner countries based on estimated data on value-added trade between China and 52 trading partners.We find that,first,although China’s exports lowered the total factor productivity(TFP)of its trading partners(competitive effect),its imports greatly increased trading partners’TFP(effect of scale).This implies that China’s GVC participation is beneficial to its trading partners’technological progress in the form of a considerable technology dividend effect.Second,China’s export dividend effect compensates for the negative effect of Chinese competition on trading partners’technological progress;the innovation effects attributable to China’s imports reinforce the positive effects of scale on technological progress.When innovation is factored in,the China dividend thus becomes further reinforced.Third,China’s merchandise imports have a diminishing positive effect on technological progress in trading partners as geographical distance increases,but trade in services transcends geographical boundaries,and the positive technological progress effect of China’s service imports do not diminish as distance increases.We find that the“China dividend”from China’s GVC participation is a significant contributor to technological progress in partner nations,and China’s imports are conducive to innovation and technological progress in developed countries in the long run.

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.

Equilibrium dividend strategies in the dual model with a random time horizon

This paper investigates the dividend problem with non-exponential discounting in a dual model.We assume that the dividends can only be paid at a bounded rate and that the surplus process is killed by an exponential random variable.Since the non-exponential discount function leads to a time inconsistent control problem,we study the equilibrium HJB-equation and give the associated verification theorem.For the case of a mixture of exponential discount functions and exponential gains,we obtain the explicit equilibrium dividend strategy and the corresponding equilibrium value function.Besides,numerical examples are shown to illustrate our results.

Some optimal dividend problems for a surplus process with interest

We derive some results on the dividend payments prior to ruin in the classical surplus process with interest.An integro-differential equation with a boundary conditions satisfied by the expected present value of dividend payments is derived and solved.Furthermore,we derive an integro-differential equation for the moment generating function,through which we analyze the higher moment of the present value of dividend payments.Finally,closed-form expressions for exponential claims are given.

Assessment of China's Qualitative Demographic Dividend for Economic Growth during 2016-2020

Given the great strides that China＇s education sector has made in recent decades, it can be expected that the overall workforce quality of exiting China＇s labor market in coming one or two decades will be relatively low, while the overall quality of workforce newly entering into China＇s labor market will be high. As the new, bettereducated generation takes over, China＇s workforce quality will be vastly improved. This in turn will promote economic growth. We refer to economic growth arising from improved workforce quality as qualitative demographic dividend. Using the computable general equilibrium （CGE） model, this paper investigates the relationship between workforce quality improvements and economic growth. According to the model＇s results, an improvement in workforce quality will raise the economic growth rate by about two percentage points per annum between 2016 and 2020 and by 10 percentage points cumulatively by 2020. In other words, GDP will be 1.1 times the level of baseline GDP by 2020 due to the improved education levels. Given different production functions across sectors, the improvement of workforce quality will affect different sectors in different ways. On the whole, the improvement of workforce quality is more favorable to the development of capital-intensive sectors and sectors with rapid technology progress. According to this paper, considering the improvement of workforce quality, we cannot conclude that China＇s potential economic growth rate has already begun to decline. Despite diminishing conventional quantitative demographic dividends, China ＂s qualitative demographic dividends will keep rising. Qualitative demographic dividends will further push forward China＇s industrial restructuring and the strategic transition of industrial competitiveness from quantitative to qualitative and from an extensive to an intensive pattern of development.

"Labor Shortage" or "Difficult Employment":A Study on the Employment Problem of College Students from the Perspective of Demographic Dividend

[Objective] The aim was to analyze the phenomenon of employment diffi- culty and labor shortage, and to reveal the influencing factors of employment difli- culty and labor shortage. [Method] On the basis of the economic principle of popu- lation dividend, the use of human resources and natural resource constraints The IS-LM model describes these two states. [Results] The resource constraints have a ＂squeeze＂ effect on the demographic dividend, and employment pressure is shown in terms of the population opportunity window; the labor market segmentation, the ir- rational industrial structure, the backward curriculum and employment concept are the main factors affecting employment and labor shortage. [Conclusion] The way to solve this dilemma must be removed from the division of labor market, the adjust- ment of industrial structure, the setting of university specialty, the change of em- ployment concept of university graduates as well as the improvement of the quality of labor.

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.

Transition from Demographic Dividend to Reform Dividend:——Simulation of China's Potential Growth Rate

Due to diminishing demographic dividend characterized by a falling workingage population and rising dependency ratio, China's long-term potential growth rates will keep declining, likely to be a mere 6.6% during the 13 th Five-Year Plan period(2016-2020). China's economic growth sustainability hinges upon its transition from the previous dependence on demographic dividend to the future reform dividend. In the growth accounting equation, we have simulated various reform initiatives and arrived at the following findings. First, although both the labor participation rate and TFP can increase China's potential growth rate, the former will only achieve a short-term growth effect, which will diminish in the long run. By contrast, the growth effect of TFP demonstrates the tendency of continuous increase. This further indicates that China's economic growth will increasingly rely on TFP improvement instead of traditional factor input. Second, different from the diminishing growth effect of enrolment rate, training may play a pivotal role in human capital development to significantly enhance potential growth rates. Third, if all reform initiatives can achieve their expected effects, integrated reform dividends may reach one or two percentage points of China's potential growth rate.

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）.

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.

ON THE EXPECTED DISCOUNTED PENALTY FUNCTION IN A MARKOV-DEPENDENT RISK MODEL WITH CONSTANT DIVIDEND BARRIER

This article considers a Markov-dependent risk model with a constant dividend barrier. A system of integro-differential equations with boundary conditions satisfied by the expected discounted penalty function, with given initial environment state, is derived and solved. Explicit formulas for the discounted penalty function are obtained when the initial surplus is zero or when all the claim amount distributions are from rational family. In two state model, numerical illustrations with exponential claim amounts are given.

CLASSICAL RISK MODEL WITH THRESHOLD DIVIDEND STRATEGY

In this article, a threshold dividend strategy is used for classical risk model. Under this dividend strategy, certain probability of ruin, which occurs in case of constant barrier strategy, is avoided. Using the strong Markov property of the surplus process and the distribution of the deficit in classical risk model, the survival probability for this model is derived, which is more direct than that in Asmussen（2000, P195, Proposition 1.10）. The occupation time of non-dividend of this model is also discussed by means of Martingale method.

Optimal dividend and capital injection problem with a random time horizon and a ruin penalty in the dual model

In the dual risk model, we consider the optimal dividend and capital injection problem, which involves a random time horizon and a ruin penalty. Both fixed and proportional costs from the transactions of capital injection are considered. The objective is to maximize the total value of the expected discounted dividends, and the penalized discounted both capital injections and ruin penalty during the horizon, which is described by the minimum of the time of ruin and an exponential random variable. The explicit solutions for optimal strategy and value function are obtained, when the income jumps follow a hyper-exponential distribution.Besides, some numerical examples are presented to illustrate our results.

The compound Poisson risk model with dependence under a multi-layer dividend strategy

In this paper, a compound Poisson risk model with time-dependent claims is studiedunder a multi-layer dividend strategy. A piecewise integro-differential equation for the Gerber- Shiu function is derived and solved. Asymptotic formulas of the ruin probability are obtained when the claim size distributions are heavy-tailed.

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.

ON THE RENEWAL RISK MODEL WITH INTEREST AND DIVIDEND

We consider that the reserve of an insurance company follows a renewal risk process with interest and dividend. For this risk process, we derive integral equations and exact infinite series expressions for the Cerber-Shiu discounted penalty function. Then we give lower and upper bounds for the ruin probability. Finally, we present exact expressions for the ruin probability in a special case of renewal risk processes.

Optimal proportional reinsurance and dividend payments with transaction costs and internal competition

We study the dividend optimization problem for an insurance company under the consideration of internal competition between different units inside company and transaction costs when dividends occur. The management of the company controls the reinsurance rate, the timing and the amount of dividends paid out to maximize the expected total dividends paid out to the shareholders until ruin time. By solving the corresponding quasi-variational inequality, we obtain the optimal return function and the optimal strategy.

OPTIMAL PROPORTIONAL REINSURANCE WITH CONSTANT DIVIDEND BARRIER

In this article, we consider an optimal proportional reinsurance with constant dividend barrier. First, we derive the Hamilton-Jacobi-Bellman equation satisfied by the expected discounted dividend payment, and then get the optimal stochastic control and the optimal constant barrier. Secondly, under the optimal constant dividend barrier strategy, we consider the moments of the discounted dividend payment and their explicit expressions are given. Finally, we discuss the Laplace transform of the time of ruin and its explicit expression is also given.

Future demographic dividend——tapping the source of China’s economic growth

This paper presents a review of the demographic dividend in China’s economic growth or the contribution of the demographic factor to China’s rapid economic growth over the past 30 years. Based on this review, it explores how China has sustained high-speed economic growth in the midst of a slowdown in working age population growth, surplus labor depletion and population aging. This study intends to demonstrate that the second demographic dividend may still arise after the decline and even disappearance of the first demographic dividend to avoid demographic debt by boosting labor productivity through the furtherance of education, extending the competitive advantage of China’s industry, tapping new sources of savings through institutional arrangements of pension security, and expanding labor resource and human capital stock in the aging era through the institutional arrangements in the labor market.