• 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.

• Journal of Digital Convergence
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• v.11 no.7
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• pp.59-66
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• 2013

Insurance has been preferential treatment than other financial products for risk ensure as a original function in tax law. However, the recent insurance products is being released in a variety of ways combined with investment and savings, as well as risk ensure. In addition, as the insurer's sales approach including to tax avoidance, tax saving strategies, tax policy associated with the tax-free savings-type insurance has been criticized. The government amended Article 25 of the Enforcement Decree of the Income Tax Act 2013 in order to prevent tax avoidance and equity among other financial instruments, but there are still many problems exist. this study looks for the validity of the tax policies of savings-type insurance In terms of the Enforcement Decree of the Income Tax Act as amended in 2013, and derived for ways to improve.

• The Journal of the Korea Contents Association
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• v.20 no.11
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• pp.281-291
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• 2020

This study used Gauss-Poisson jump diffusion process on standard assets to estimate the statutory reserves of Variable Annuity (VA) guarantees specified in Korean bylaw of insurance supervision and calculated guarantee fees and risks based on the model to see the effect of considering the jumps. Financial assets, except KOSPI 200, have fat-tailed return distributions, which is an indirect evidence of discontinuous jumps. In the case of a domestic stock index and foreign stock indexes(Korean Won), guarantee fees and risks decrease when jumps are considered in models of underlying assets. This is explained by decreases in standard deviations after the jump diffusion is considered. On the other hand, in the case of domestic bond indexes and a foreign bond index(Korean Won), guarantee fees and risks tend to increase when jumps are considered. Results from a foreign stock index(US Dollar) and a foreign bond index(US Dollar) were opposite to those from the same kinds of Korean Won indexes. We conclude that VA guarantee fees and risks may be under or over estimated when jumps are not considered in models of underlying assets.

• Journal of the Economic Geographical Society of Korea
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• v.13 no.4
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• pp.663-680
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• 2010

This paper aims at analysing Regional Patterns of Farmland Price Changes for the Farmland Reverse Mortgage System. Farmland Reverse Mortgage(FRM) is a system in which the aged farmers in the rural areas receive certain amount of money monthly through the liquidation of their own farmlands for the life time. Farmland price affects the farmland annuity considerably. In the future, if the farmland price goes down than the price when the borrower joined FRM, the borrower can get profits from the pension. Based on the results, the farmland price of Kyeonggi-do is strongly related to economic growth rates(index of industrial product). while that of Gyeongsangbuk-do is weakly related to economic variables including economic growth rates. Therefore, the expectation of farmland value rising rate will be higher in Kyeonggi-do than in Gyeongsangbuk-do. Thus the number of borrowers who want to join FRM in Gyeongsangbuk-do will be more than those in Kyeonggi-do.

• The Korean Journal of Applied Statistics
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• v.31 no.6
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• pp.771-783
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• 2018

The life insurance industry is interested in various factors that influence the long-term extensions of insurance contracts such as the necessity for the advisors' long-term management of consumers, product consulting, and improvement of the investment aspects. This paper investigates important factors leading to a long-term contract that forms an important part of the life insurance industry in Korea. For this purpose we used the data of contents (i.e., data from Jan 1, 2011 to Dec 31, 2016) of the contracts of xxx insurance company. In this paper, we present how to select important variables to influence the duration of the contract maintenance via a penalized Cox's proportional hazards (PH) modelling approach using insurance life data. As the result of analysis, we found that the selected important factors were the advisor's status, the reward type 2 (annuity insurance) and tendency 4 (safety-pursuing type).