• Korean Management Science Review
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• v.27 no.1
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• pp.45-60
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• 2010

This study evaluates life annuity plans based on two different types of measures : financial benefit and utility on consumption. The financial benefit is measured by Money's Worth (MW) ratio and return on annuity. For the measure of utility, an optimization problem is formulated with the objective of maximizing utility on consumption. To solve the optimization model, we use Dynamic Programming (DP) technique. The both types of measures are applied to cases of Korean pre-retirees at age 40 with different accumulation years of annuity (i.e. level of annuity asset at the age of retirement) and different timings of annuitization. Our results generally indicate that the utility based optimization model is superior to the financial measures in terms of providing a better evaluation of an annuity plan due to its capability to consider an individual's financial situation during his/her retirement period. Also, they suggest that the level of annuity asset is an important factor when an individual determines the optimal annuitization timing.

• IE interfaces
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• v.24 no.3
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• pp.173-186
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• 2011

In this paper, we evaluate life annuity plans for Korean pre-retired single and married couple participating Korea National Pension (KNP) and find optimal life annuity strategy by using utility-based measurements called AEW (Annuity Equivalent Wealth). Specifically, we extend a previous study to obtain a detailed optimal combination of annuitizing age and wealth in terms of percentage of net wealth at the time of retirement. A nonlinear optimization model is formulated with the objective of maximizing utility on consumption and bequest, and the dynamic programming (DP) technique is used to solve this problem. We find that there exist consistent patterns in optimal combinations of annuitizing age and wealth. Also, for all cases the optimal combination is significantly better than several other combinations. The results indicate that using the optimal approach can be beneficial to practitioners in insurance industry and prospective purchasers of life annuity. We conclude the paper with some discussions and suggestions.

• Communications for Statistical Applications and Methods
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• v.28 no.6
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• pp.655-671
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• 2021

This study analyzes the premium risk of insurers in Korea, which is expected to experience the fastest population aging in the world. Based on the Lee-Carter model, we generate 10,000 scenarios for the number of future survivors in the group of the 10,000 policyholders of life annuity. According to the result of simulation study, the probability of insurer's loss for both groups of male and female policyholders is very low. This result indicates that the premium risk of insurers is not as great as the insurer's concern. This study also suggests introduction of the longevity swap as an alternative to manage the premium risk for the insurer which sells life annuity products. The longevity swap allows insurers to hedge premium risk and reduce capital burden due to the premium risk inherent in life annuity. This study also shows through examples that the counterparty of swap deal may have excess profit in exchange for taking premium risk.

• Journal of Distribution Science
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• v.13 no.11
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• pp.69-77
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• 2015

Purpose - Economic status at an early stage of life after one's retirement is often determined by the long-term sacrifice of one's earlier consumption tendencies. In general, the first and foremost way to secure income after retirement is through annuity savings. People sign up for personal annuity savings in order to guarantee a stable economic life upon retirement, and such actions may be heavily influenced by self-efficacy. Confidence in current economic activity is a source of rational decision-making. Inability to achieve self-control can lead to reckless spending and the eventual hindering of proper investment for the future. This paper examines how self-efficacy and self-control affect the intention and action of enrolling in an annuity savings plan in relation to one's level of financial literacy. Research design, data, and methodology - To analyze the proposed model, this study investigates financial consumers over the age of 20. The data were collected from 511 respondents and analyzed with SPSS 21.0 and AMOS 21.0. First, for the one-dimensional test and to measure the convergent validity of each structure, we use the scale purification process. The results of the test and the confirmatory factor analysis ensure the focus of the validity of the single dimension for each structure. In addition, the validity of the measurement was guaranteed from the results of correlation analysis. Results - First, self-efficacy and self-control have positive effects on the purchasing intention of the personal annuity savings plan. Second, purchasing intention positively affects purchasing behavior. Lastly, self-control has a positive effect on purchasing intention among the low financial literacy group, whereas self-efficacy does not have this effect in the high financial literacy one. Conclusions - The time of product benefit is different with age. The younger group would be granted the savings after several decades once they enroll, whereas the older group would wait for a relatively shorter period of time. Therefore, further research should be conducted in order to verify such a difference. However, this study has value through its confirmation that the roles of self-efficacy and self-control play a part in leading to the enrollment in annuity savings plans and by verifying different effects based on levels of financial literacy. Such results suggest a number of implications in a real life setting. First, banks need to put greater emphasis on the stability of annuity savings in general. Second, customers with relatively low levels of financial literacy are able to control their finances through annuity savings, but find self-efficacy difficult due to a lack of financial understanding. Therefore, such customers should be approached from an invest-effectiveness comparison method. Third, customers with high financial literacy tend to put more value in rational economic decision-making and behavior than in self-efficacy. Therefore, such customers should be approached by promoting the reliability of annuity savings and the excellence of the specific bank's annuity savings plan in comparison to those of other financial institutions.

• Asia-Pacific Journal of Business
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• v.4 no.2
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• pp.41-53
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• 2013

Undoubtedly, the basic sinking fund formula gives the future value of a series of equal installments. The main underlying assumption for using this formula is that installment and compounding frequency must be in equal interval. But when installment for a deposit scheme or any other savings scheme and compounding frequency do not occur in an equal interval, which is treated as the complex annuity problems in Finance Literature, the basic sinking fund formula does not give the accurate result. As a result, the obtainable amount from different deposit schemes offered by different banks and financial institutions does not match with the amount of future value calculated through the basic sinking fund formula by the investors or savers. This study focuses the concealed facts for such type of mismatches in values and at the same time it provides a solution through developing a new formula by extending the basic formula intended not only to remove those mismatches but also get the accurate future value from a sinking fund provision in case of complex annuity. Besides, since banks and financial institutions calculate the interest on the average amount of equal installments deposited within a period of time due to complex annuity, the study also formulates an arithmetic formula for calculating the average amount of installment.

• Journal of the Korean housing association
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• v.22 no.6
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• pp.11-19
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• 2011

This study explores consumers' intention and attitude to a group home for the middle class elderly, which provide local communities with the small residential spaces where seniors can feel at home. Questionnaire method was performed, and 193 data were gathered in Jeonju city. The results are as follows. When respondents have a size of house (66.2-99.1 $m^2$), elderly disease or dementia, and their annuity or their spouse annuity, and when they are much old, their intentions to move into a community friendly group home for the aged is detected. The respondents and their spouse with the pension of more than 2,000,000 (KRW)/month have an intention to move to this group home. Also, they and their spouse with annuity have positive attitude to it, and these goups with the pension of more than 2,000,000 (KRW)/month have low negative attitude to it. So, house size, health condition, and annuity are variables to determine to move into it.

• Korean Journal of Human Ecology
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• v.2 no.1
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• pp.1-11
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• 1999

This study was to compare the income and financial assets of the Salary Earner and those of Self-Employed households. The data was drawn from the Korean Household Panel Study(KHPS) that was surveyed by Daewoo in 1995. The major findings were as follows: 1. All households were holding salary/business income, and the average of salary/business income of Salary earner household and Self-employed household were found to be 1,580,000 won and 2.050,000 won respectively. 2. Households were holding saving accounts most in both groups. 3. The yearly financial income, yearly immovable property income, and the yearly annuity income were correlated with yearly subsidiary income. The yearly financial income were correlated with the yearly annuity and yield from bonds. There were negative relationships between the yearly annuity and yield from bonds. The yearly miscellaneous income was correlated with the yearly yield from stock. There were negative relationships between the yield from stock and bonds in Salary-Earner households. 4. The yearly subsidiary income and yield from bonds were correlated with monthly business income. The yearly annuity and yearly total amounts of saving accounts were correlated with yearly subsidy income. The immovable property, the yearly yield from stock and bonds were correlated with the yearly financial income. The yearly yield from stock and bonds were correlated with the immovable property and the yearly annuity income. The yearly misellaneous and total amounts of saving accounts were correlated with the yearly yield from stock and bonds. The Yearly yield from stock was correlated with yield from bonds in Self-Employed households. (Koran J of Human Ecology 2(l) : 1-11, 1999)

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

• Bulletin of the Korean Mathematical Society
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• v.58 no.2
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• pp.349-364
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• 2021

This paper studies the optimal surrender policies for a variable annuity (VA) contract with a surrender option and a fixed insurance fee for guaranteed minimum maturity benefits (GMMB). In our proposed model, a policyholder pays the fixed insurance fee. Based on the integral transform techniques, we derive the analytic integral equations for the optimal surrender boundary and the value function of the VA contract that can be solved numerically by recursive integration method. We provide numerical values for the value function, the optimal surrender boundary, and the expected optimal surrender time.

• Communications for Statistical Applications and Methods
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• v.28 no.2
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• pp.171-188
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• 2021

Due to an increased demand for longevity risk analysis, various stochastic models have been suggested to evaluate uncertainly in estimated life expectancy and the associated value of future annuity payments. Recently updated data allow us to analyze mortality for a longer historical period and extended age ranges. This study followed up previous case studies using up-to-date empirical data on Korean mortality and the recently developed R package StMoMo for stochastic mortality models analysis. The suitability of stochastic mortality models, focusing on retirement ages, was investigated with goodness-of-fit, validity of models, and ability of generating reasonable sets of simulation paths of future mortality. Comparisons were made across various types of models. Based on the selected models, the variability of important estimated measures associated with pension, annuity, and reverse mortgage were quantified using simulations.