Analysis of the Compound Poisson Surplus Model with Liquid Reserves, Interest and Dividends

2009 ◽  
Vol 39 (1) ◽  
pp. 225-247 ◽  
Author(s):  
Jun Cai ◽  
Runhuan Feng ◽  
Gordon E. Willmot
Keyword(s):  
Interest Rate ◽  
Risk Model ◽  
Threshold Level ◽  
Threshold Strategy ◽  
Compound Poisson ◽  
Expected Discounted Penalty Function ◽  
Time Of Ruin ◽  
The Interest Rate ◽  
The Impact ◽  
Liquid Reserve

AbstractThe paper incorporates liquid reserves, interest and dividends in the compound Poisson surplus model. When an insurer's surplus is below a certain level, it is kept as liquid reserves. As the surplus attains the level, the excess of the surplus above the level will earn interest at a constant interest rate. If the surplus continues to surpass a higher level, the excess of the surplus above this higher level will be paid out as dividends to the insurer's shareholders at a constant dividend rate or by the threshold strategy. The lower and higher levels are called the liquid reserve level and the threshold level, respectively.This paper is to discuss the interactions of the liquid reserve level, the interest rate, the threshold level, and the dividend rate in the proposed risk model by studying the expected discounted penalty function and the expected present value of dividends paid up to the time of ruin. We derive expressions for the solutions to both quantities via the approach of integro-differential equation systems. We show that the dividend-penalty identity (Gerber et al. 2006, ASTIN Bulletin) still holds for the threshold strategy with liquid reserves and interest. We illustrate these results by deriving explicit solutions to the probability of ultimate ruin under the threshold strategy when claim sizes are exponentially distributed. In the end, we also discuss the impact of the liquid reserve level, the interest rate, the threshold level, and the dividend rate on the ruin probability by numerical examples.

scholarly journals The impact of Musharakah financing on the monetary policy in the Islamic economy

2018 ◽  
Vol 3 (3/4) ◽  
pp. 139-152
Author(s):  
Hatem Adela
Keyword(s):  
Economic Theory ◽  
Monetary Policy ◽  
Interest Rate ◽  
Economic Activity ◽  
Methodological Framework ◽  
Mathematical Methods ◽  
Content Type ◽  
Return Rates ◽  
The Interest Rate ◽  
The Impact

Purpose This paper aims to contribute to formulating the methodological framework for a paradigm of Islamic economics, using the development of the conventional economics, theoretical and mathematical methods. Design/methodology/approach The study based on the inductive and mathematical methods to contribute to economic theory within the methodological framework for Islamic Economics, by using the return rate of Musharakah rather than the interest rate in influence the economic activity and monetary policy. Findings Via replacement, the concept of the interest rate by the return rates of Musharakah. It concludes that the central bank can control the monetary policy, economic activity and the efficient allocation of resources by using the return rates of Musharakah through the framework of Islamic economy. Practical/implications The study is a contribution to formulate the methodological framework for a paradigm of Islamic economics, where it investigates the impact of return rates of Musharakah on the money market and monetary policy, by the mathematical methods used in the conventional economy. Also, the study illustrates the importance of further studies that examine the methodological framework for Islamic Economics. Originality/value The study aims to contribute to formulating the Islamic economic theory, through the return rate of Musharakah financing instead of the interest rate, and its effectiveness of the monetary policy. As well as reformulating the concepts of the investment function, the present value and the marginal efficiency rate of investment according to the Islamic economy approach.

scholarly journals The Impact of Interest Rate Ceilings on Microfinance Industry

2015 ◽  
Vol 2 (2) ◽  
pp. 10
Author(s):  
Ali Saleh Alshebami ◽  
D. M. Khandare
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Low Income ◽  
Secondary Data ◽  
Research Subject ◽  
Access To Credit ◽  
The Poor ◽  
Good Intention ◽  
The Interest Rate ◽  
The Impact

<p>Imposing ceilings on the interest rate has recently become one of the new hottest topics in microfinance industry; various debates have been discussing this issue to know the effect of interest rate ceilings on the supply of credit in particular and on microfinance industry in general. However in spite of the good intention behind these ceilings, there was no absolute result stating that ceilings have really contributed to the improvement or protection of the poor clients, indeed, these ceilings have hurt those low income people instead of helping them, due to these ceilings most of MFIs left the market or reduced their scale due to the inability to continue operating with low interest rate leaving the very poor clients without access to credit. Thus, the purpose of this paper is to review the impact of imposing such ceilings on the interest rates and to find out what alterative solutions can be employed as substitutes for them. This paper is entirely based on the secondary data collected from various records related to microfinance such as microfinance books, official websites and reports, published papers, and other sources related to the research subject.</p>

scholarly journals On Exact Solutions for Dividend Strategies of Threshold and Linear Barrier Type in a Sparre Andersen Model

2007 ◽  
Vol 37 (02) ◽  
pp. 203-233 ◽  
Author(s):  
Hansjörg Albrecher ◽  
Jürgen Hartinger ◽  
Stefan Thonhauser
Keyword(s):  
Risk Model ◽  
Infinite Horizon ◽  
Threshold Level ◽  
Threshold Strategy ◽  
Sparre Andersen Model ◽  
Dividend Payments ◽  
Andersen Model ◽  
Linear Barrier ◽  
Barrier Type ◽  
Premium Income

For the classical Cramér-Lundberg risk model, a dividend strategy of threshold type has recently been suggested in the literature. This strategy consists of paying out part of the premium income as dividends to shareholders whenever the free surplus is above a given threshold level. In contrast to the well-known horizontal barrier strategy, the threshold strategy can lead to a positive infinite-horizon survival probability, with reduced profit in terms of dividend payments. In this paper we extend several of these results to a Sparre Andersen model with generalized Erlang(n)-distributed interclaim times. Furthermore, we compare the performance of the threshold strategy to a linear dividend barrier model. In particular, (partial) integro-differential equations for the corresponding ruin probabilities and expected discounted dividend payments are provided for both models and explicitly solved for n = 2 and exponentially distributed claim amounts. Finally, the explicit solutions are used to identify parameter sets for which one strategy outperforms the other and vice versa.

scholarly journals The Impact of Macroeconomic Variables on Sectoral Indices in Indonesia

ETIKONOMI ◽  
2017 ◽  
Vol 16 (1) ◽  
pp. 71-80 ◽  
Author(s):  
Bambang Sutrisno
Keyword(s):  
Exchange Rate ◽  
Interest Rate ◽  
Inflation Rate ◽  
Emerging Market ◽  
Estimation Method ◽  
Least Square ◽  
Series Data ◽  
Macroeconomic Variables ◽  
The Interest Rate ◽  
The Impact

This study aims to examine the effect of macroeconomic variables on sectoral indices in the Indonesian Stock Exchange. The difference in sensitiveness among sectors is an interesting issue to investigate this relationship in an emerging market, such as Indonesia. This study employs ordinary least square (OLS) as an estimation method with monthly time-series data from January 2005 to December 2014. The results document that the interest rate, inflation rate, and exchange rate simultaneously have a significant effect on sectoral indices in Indonesia. The interest rate partially shows a significant negative influence on all sectors except basic industry and chemical, finance, infrastructure, utilities, and transportation, and miscellaneous industry sectors. The inflation rate partially has no significant effect on all sectors. The exchange rate partially has a significant negative impact on all industries.DOI: 10.15408/etk.v16i1.4323

ANALISIS FAKTOR-FAKTOR YANG MEMPENGARUHI KONSUMSI MASYARAKAT DI PROVINSI ACEH

2014 ◽  
Vol 1 (2) ◽  
Author(s):  
Tarmizi Gadeng
Keyword(s):  
Interest Rate ◽  
Inflation Rate ◽  
Econometric Model ◽  
Least Square ◽  
The Other ◽  
Ordinary Least Square ◽  
Other Hand ◽  
The Interest Rate ◽  
The Impact

The main objective of this study is to find out the impact of the inflation rate,percapita income as wall as the interest rate on the household comsumption of the population of Aceh.Secondary data 1983 – 2008 are collected or couning from various ageucig and instution and ordinary least square econometric model used as a method of analysis.            The result of the study tells us that the rate of inflation and the percapita income hare positive and significoutly effect on the household consumtion while the rate of interest on the other hand statistically has a negative and not significant effect on the house hold consumption. The interest rate which reflect the influence of the consumption has a positive, not significantly and in elactic. 

scholarly journals The Ability of Selected European Countries to Face the Impending Economic Crisis Caused by COVID-19 in the Context of the Global Economic Crisis of 2008

2020 ◽  
Vol 13 (8) ◽  
pp. 179
Author(s):  
Róbert Oravský ◽  
Peter Tóth ◽  
Anna Bánociová
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Economic Crisis ◽  
Economic Effects ◽  
European Countries ◽  
Consumer Confidence ◽  
Negative Consequences ◽  
Confidence Index ◽  
The Interest Rate ◽  
The Impact

This paper is devoted to the ability of selected European countries to face the potential economic crisis caused by COVID-19. Just as other pandemics in the past (e.g., SARS, Spanish influenza, etc.) have had negative economic effects on countries, the current COVID-19 pandemic is causing the beginning of another economic crisis where countries need to take measures to mitigate the economic effects. In our analysis, we focus on the impact of selected indicators on the GDP of European countries using a linear panel regression to identify significant indicators to set appropriate policies to eliminate potential negative consequences on economic growth due to the current recession. The European countries are divided into four groups according to the measures they took in the fiscal consolidation of the last economic crisis of 2008. In the analysis, we observed how the economic crisis influences GDP, country indebtedness, deficit, tax collection, interest rates, and the consumer confidence index. Our findings include that corporate income tax recorded the biggest decline among other tax collections. The interest rate grew in the group of countries most at risk from the economic crisis, while the interest rate fell in the group of countries that seemed to be safe for investors. The consumer confidence index can be considered interesting, as it fell sharply in the group of countries affected only minimally by the crisis (Switzerland, Finland).

scholarly journals Monetary Policy Effects on Energy Sector Bubbles

Energies ◽  
2019 ◽  
Vol 12 (3) ◽  
pp. 472
Author(s):  
Petre Caraiani ◽  
Adrian Călin
Keyword(s):  
Monetary Policy ◽  
Interest Rate ◽  
Asset Prices ◽  
The United States ◽  
Energy Sector ◽  
Monetary Policy Shocks ◽  
Policy Shocks ◽  
The Difference ◽  
The Interest Rate ◽  
The Impact

We investigate the effects of monetary policy shocks, including unconventional policy measures, on the bubbles of the energy sector, for the case of the United States. We estimate a time-varying Bayesian VAR model that allows for quantifying the impact of monetary policy shocks on asset prices and bubbles. The energy sector is measured through the S&P Energy Index, while bubbles are measured through the difference between asset prices and the corresponding dividends for the energy sector. We find significant differences in the impact of monetary policy shocks for the aggregate economy and for the energy sector. The findings seem sensitive to the interest rate use, i.e., whether one uses the shadow interest rate or the long-term interest rate.

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