• Journal of the Korean Data and Information Science Society
• /
• v.20 no.1
• /
• pp.77-87
• /
• 2009

Bayesian methods have been focused in recent years for solving small area estimation problems. In this paper, the hierarchical Bayes procedure is implemented via MCMC techniques and compared with the results of One-way, GLM-Normal, and GLM-Gamma cases by analyzing real data of insurance benefit for customer segmentations. After analyzing insurance benefit real data for customer segmentations, we can conclude that the insurance benefit estimator through the small area estimation is more efficient than the estimators by other methods. In addition, we found that the small area estimation gave accurate estimation result for the small number domains.

• Journal of the Korean Data and Information Science Society
• /
• v.24 no.4
• /
• pp.737-753
• /
• 2013

Interest rate options embedded in life insurance products provide policyholders with minimum guaranteed rates credited to the corresponding surrender values. This paper discusses current low-interest environment and several types of interest rate options embedded in life insurance products. In addition, this paper shows profit structures of the life insurance products and calculates values of the interest rate options under stochastic interest model and the corresponding VaR (value at risk). Finally, some implications are discussed.

• 방재와보험
• /
• s.50
• /
• pp.13-15
• /
• 1991

• 방재와보험
• /
• s.48
• /
• pp.40-41
• /
• 1990

• Journal of the Korean Data and Information Science Society
• /
• v.28 no.2
• /
• pp.271-286
• /
• 2017

The objective of this paper is to evaluate whether longevity risk is properly managed in Korean life insurance industry by measuring longevity risk in the viewpoint of natural hedge. According to analysis, the sum of the reserve of annuity and that of whole life insurance appears to decrease in the case both reserve of annuity and whole life insurance are shocked by same degree and also the mortality rate of the aged policyholders is improved faster than that of the less aged policyholders. Although the sum of the reserves increases only when the mortality improvement of annuity policyholders is higher than that of whole life insurance policyholders by two times, more than 60% of reserve increase of annuity is found to be offset by natural hedge. Thus, it is judged that the longevity risk of Korea life insurance industry is properly managed by natural hedge.

• Journal of the Korean Data and Information Science Society
• /
• v.22 no.2
• /
• pp.171-177
• /
• 2011

With the development of the actuarial and insurance industries, the distributions of the insurance payments data are deeply studied by many authors. It is known that theses types of distribution are very highly positively skewed and have a long thick upper tail such as Pareto or lognormal distribution. In 2005, Cooray and Ananda proposed a new model which is composed lognormal distribution and Pareto distribution. They said it as composite lognormal-Preto distribution. They showed that the proposed distribution was better fitted than lognormal or Pareto distribution. On the other hand many agreements about the insurance payment have some options for a trivially small payment or extremely large one because of the limits of total payment. Appling these cases, in this paper we consider the parameter estimation on the composite lognormal-Pareto distribution based on doubly censored samples.

• 방재와보험
• /
• s.91
• /
• pp.58-62
• /
• 2001

• The Korean Journal of Applied Statistics
• /
• v.29 no.7
• /
• pp.1165-1172
• /
• 2016

In this paper, a surplus process with investments is introduced. Whenever the level of the surplus reaches a target value V > 0, amount S($0{\leq}S{\leq}V$) is invested into other business. After assigning three costs to the surplus process, a reward per unit amount of the investment, a penalty of the surplus being empty and the keeping (opportunity) cost per unit amount of the surplus per unit time, we obtain the long-run average cost per unit time to manage the surplus. We prove that there exists a unique value of S minimizing the long-run average cost per unit time for a given value of V, and also that there exists a unique value of V minimizing the long-run average cost per unit time for a given value of S. These two facts show that an optimal investment policy of the surplus exists when we manage the surplus in the long-run.

• The Korean Journal of Applied Statistics
• /
• v.19 no.3
• /
• pp.579-585
• /
• 2006

We consider a ruin model where the surplus process is formed by a Brownian motion. If the level of surplus exceeds V, then we assume that a insurer invests an amount of S to other place. In this paper, we apply martingale methods to the surplus process and obtain the expectation of period T, time from origin to the point where the level of surplus reaches either V or 0. As a consequence, we finally derive the total and average amount of surplus during T.

• The Korea Swine Journal
• /
• v.17 no.7 s.191
• /
• pp.149-151
• /
• 1995