• Title/Summary/Keyword: Actuarial science

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Nonparametric Tests for Detecting Greater Residual Life Times

  • Lim, Jae-Hak;Ibrahim A. Ahmad;Park, Dong-Ho
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.167-175
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    • 2004
  • A nonparametric procedure is proposed to test the exponentiality against the hypothesis that one life distribution has a greater residual life times than the other life distribution. Such a hypothesis turns out to be equivalent to the one that one failure rate is greater than the other and so the proposed test works as a competitor to more IFR tests by Kochar (1979, 1981) and Cheng (1985). Our test statistic utilizes the U-statistics theory and a large sample nonpara metric test is established. The power of the proposed test is discussed by calculating the Pitman asymptotic relative efficiencies against several alter native hypotheses. A numerical example is presented to exemplify the proposed test.

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The effect of life insurance settlement on insurance market and consumer welfare

  • Hong, Jimin
    • Communications for Statistical Applications and Methods
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    • v.27 no.6
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    • pp.689-699
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    • 2020
  • This study investigates the effect of life settlement on the monopolistic insurance market. In particular, we consider liquidity cost, which is the cost incurred to the insurer to meet the request of surrender, and trading cost, which is the transaction cost of the policyholders for the settlement. We first show that the introduction of a life settlement can increase insurance demand and enhance consumer welfare even when the trading cost is higher than the liquidity cost. That is, even if the settlement market is less efficient than the insurance market, both insurance demand and consumer welfare can be increased. Second, the insurer's profit can also be increased when settlement is introduced because not only can the insurer save the liquidity cost but also the demand of insurance increases. Lastly, insurance demand does not always decrease when both costs increase. Depending on the population distribution over the liquidity risk, the demand of insurance can be increased or decreased.

Semi closed-form pricing autocallable ELS using Brownian Bridge

  • Lee, Minha;Hong, Jimin
    • Communications for Statistical Applications and Methods
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    • v.28 no.3
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    • pp.251-265
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    • 2021
  • This paper discusses the pricing of autocallable structured product with knock-in (KI) feature using the exit probability with the Brownian Bridge technique. The explicit pricing formula of autocallable ELS derived in the existing paper handles the part including the minimum of the Brownian motion using the inclusion-exclusion principle. This has the disadvantage that the pricing formula is complicate because of the probability with minimum value and the computational volume increases dramatically as the number of autocall chances increases. To solve this problem, we applied an efficient and robust simulation method called the Brownian Bridge technique, which provides the probability of touching the predetermined barrier when the initial and terminal values of the process following the Brownian motion in a certain interval are specified. We rewrite the existing pricing formula and provide a brief theoretical background and computational algorithm for the technique. We also provide several numerical examples computed in three different ways: explicit pricing formula, the Crude Monte Carlo simulation method and the Brownian Bridge technique.

Statistical models and computational tools for predicting complex traits and diseases

  • Chung, Wonil
    • Genomics & Informatics
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    • v.19 no.4
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    • pp.36.1-36.11
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    • 2021
  • Predicting individual traits and diseases from genetic variants is critical to fulfilling the promise of personalized medicine. The genetic variants from genome-wide association studies (GWAS), including variants well below GWAS significance, can be aggregated into highly significant predictions across a wide range of complex traits and diseases. The recent arrival of large-sample public biobanks enables highly accurate polygenic predictions based on genetic variants across the whole genome. Various statistical methodologies and diverse computational tools have been introduced and developed to computed the polygenic risk score (PRS) more accurately. However, many researchers utilize PRS tools without a thorough understanding of the underlying model and how to specify the parameters for the best performance. It is advantageous to study the statistical models implemented in computational tools for PRS estimation and the formulas of parameters to be specified. Here, we review a variety of recent statistical methodologies and computational tools for PRS computation.

A financial projection model on defined benefit pension plan (우리나라 퇴직연금의 재정추계모형과 장기전망 - 확정급여형 가정 중심으로 -)

  • Han, Jeonglim;Lee, Hangsuck
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.131-153
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    • 2014
  • The Korean market of pension plans has recently increased and pension plans will be expected to play an important role in the retirement system as complement of the national pension system in the future. However, there are a few of research papers on actuarial projections of pension plans. This paper will discuss a long-term financial projection on defined pension plans using data based on the national pension workplace participants. Previous researches focused on company-based financial projection of pension plan. But, this paper concerns on total Korean pension participants and suggests a method to calculate future financial projection of total pension plans. Finally, this research will suggest several numerical results of normal costs, benefits, numbers of workers, etc.

Analyzing rainfall patterns and pricing rainfall insurance using copula (코퓰라를 이용한 강수의 패턴 분석과 강수 보험의 가격 결정)

  • Choi, Changhui;Lee, Hangsuck;Ju, Hyo Chan
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.3
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    • pp.603-623
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    • 2013
  • This paper proposes analyzing monthly rainfall patterns using copula and pricing related rainfall insurance using it. We analyze 30-year monthly precipitation data for 9 Korean cities between June and September using copula showing so that it can effectively generate realistic monthly rainfall patterns. In addition, we show that our copula rainfall models can be used in pricing various kinds of rainfall insurances effectively.

Profit analysis of life insurance products with interest rate options (이자율 보증옵션이 내재된 생명보험의 이차익 분석)

  • Lee, Hangsuck
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.737-753
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    • 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.

The Significance Test on the AHP-based Alternative Evaluation: An Application of Non-Parametric Statistical Method (AHP를 이용한 대안 평가의 유의성 분석: 비모수적 통계 검정 적용)

  • Park, Joonsoo;Kim, Sung-Chul
    • The Journal of Society for e-Business Studies
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    • v.22 no.1
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    • pp.15-35
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    • 2017
  • The method of weighted sum of evaluation using AHP is widely used in feasibility analysis and alternative selection. Final scores are given in forms of weighted sums and the alternative with largest score is selected. With two alternatives, as in feasibility analysis, the final score greater than 0.5 gives the selection but there remains a question that how large is large enough. KDI suggested a concept of 'grey area' where scores are between 0.45 and 0.55 in which decisions are to be made with caution, but it lacks theoretical background. Statistical testing was introduced to answer the question in some studies. It was assumed some kinds of probability distribution, but did not give the validity on them. We examine the various cases of weighted sum of evaluation score and show why the statistical testing has to be introduced. We suggest a non-parametric testing procedure which does not assume a specific distribution. A case study is conducted to analyze the validity of our suggested testing procedure. We conclude our study with remarks on the implication of analysis and the future way of research development.

An Analysis of a Reverse Mortgage using a Multiple Life Model (연생모형을 이용한 역모기지의 분석)

  • Baek, HyeYoun;Lee, SeonJu;Lee, Hangsuck
    • The Korean Journal of Applied Statistics
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    • v.26 no.3
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    • pp.531-547
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    • 2013
  • Multiple life models are useful in multiple life insurance and multiple life annuities when the payment times of benets in these insurance products are contingent on the future life times of at least two people. A reverse mortgage is an annuity whose monthly payments terminate at the death time of the last survivor; however, actuaries have used female life table to calculate monthly payments of a reverse mortgage. This approach may overestimate monthly payments. This paper suggests a last-survivor life table rather than a female life table to avoid the overestimation of monthly payments. Next, this paper derives the distribution of the future life time of last survivor, and calculates the expected life times of male, female and last survivor. This paper calculates principal limits and monthly payments in cases of male life table, female life table and last-survivor life table, respectively. Some numerical examples are discussed.

Analyzing Korean TV Commercials during Prime Time based on Cultural Background (문화적 접근에 기초한 한국 텔레비전 방송 주요시간대 광고 분석)

  • Cho, Seungho;Cho, Sang-Hoon
    • Journal of Digital Convergence
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    • v.10 no.10
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    • pp.155-163
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    • 2012
  • This study investigated Korean TV advertising's creative strategy and trend. To achieve the goal, we conducted content analysis for prime time TV advertising messages (KBS, MBC, SBS). We found that Korean TV advertising contents showed more direct messages than indirect messages, much relationship between ads messages and product, more brand in advertisements, little humor, relatively many celebrities in ads. and much importance on the reputation of the firm. The findings will be a significant source regarding promotion strategy for global company who plans to enter into Korean market.