• 제목/요약/키워드: Merton problem

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A DEEP LEARNING ALGORITHM FOR OPTIMAL INVESTMENT STRATEGIES UNDER MERTON'S FRAMEWORK

  • Gim, Daeyung;Park, Hyungbin
    • 대한수학회지
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    • 제59권2호
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    • pp.311-335
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    • 2022
  • This paper treats Merton's classical portfolio optimization problem for a market participant who invests in safe assets and risky assets to maximize the expected utility. When the state process is a d-dimensional Markov diffusion, this problem is transformed into a problem of solving a Hamilton-Jacobi-Bellman (HJB) equation. The main purpose of this paper is to solve this HJB equation by a deep learning algorithm: the deep Galerkin method, first suggested by J. Sirignano and K. Spiliopoulos. We then apply the algorithm to get the solution to the HJB equation and compare with the result from the finite difference method.

FINANCIAL SYSTEM: INNOVATIONS AND PRINCING OF RISKS

  • Melnikov, A.V.
    • 대한수학회지
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    • 제38권5호
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    • pp.1031-1046
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    • 2001
  • The paper studies the evolution of the financial markets and pays the basic attention to the role of financial innovations (derivative securities) in this process. A characterization of both complete and incomplete markets is given through an identification of the sets of contingent claims and terminal wealths of self-financing portfolios. the dynamics of the financial system is described as a movement of incomplete markets to a complete one when the volume of financial innovations is growing up and the spread tends to zero (the Merton financial innovation spiral). Namely in this context the paper deals with the problem of pricing risks in both field: finance and insurance.

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머신러닝 기반 기업부도위험 예측모델 검증 및 정책적 제언: 스태킹 앙상블 모델을 통한 개선을 중심으로 (Machine learning-based corporate default risk prediction model verification and policy recommendation: Focusing on improvement through stacking ensemble model)

  • 엄하늘;김재성;최상옥
    • 지능정보연구
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    • 제26권2호
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    • pp.105-129
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    • 2020
  • 본 연구는 부도위험 예측을 위해 K-IFRS가 본격적으로 적용된 2012년부터 2018년까지의 기업데이터를 이용한다. 부도위험의 학습을 위해, 기존의 대부분 선행연구들이 부도발생 여부를 기준으로 사용했던 것과 다르게, 본 연구에서는 머튼 모형을 토대로 각 기업의 시가총액과 주가 변동성을 이용하여 부도위험을 산정했으며, 이를 통해 기존 방법론의 한계로 지적되어오던 부도사건 희소성에 따른 데이터 불균형 문제와 정상기업 내에서 존재하는 부도위험 차이 반영 문제를 해소할 수 있도록 하였다. 또한, 시장의 평가가 반영된 시가총액 및 주가 변동성을 기반으로 부도위험을 도출하되, 부도위험과 매칭될 입력데이터로는 비상장 기업에서 활용될 수 있는 기업 정보만을 활용하여 학습을 수행함으로써, 포스트 팬데믹 시대에서 주가 정보가 존재하지 않는 비상장 기업에게도 시장의 판단을 모사하여 부도위험을 적절하게 도출할 수 있도록 하였다. 기업의 부도위험 정보가 시장에서 매우 광범위하게 활용되고 있고, 부도위험 차이에 대한 민감도가 높다는 점에서 부도위험 산출 시 안정적이고 신뢰성 높은 평가방법론이 요구된다. 최근 머신러닝을 활용하여 기업의 부도위험을 예측하는 연구가 활발하게 이루어지고 있으나, 대부분 단일 모델을 기반으로 예측을 수행한다는 점에서 필연적인 모델 편향 문제가 존재하고, 이는 실무에서 활용하기 어려운 요인으로 작용하고 있다. 이에, 본 연구에서는 다양한 머신러닝 모델을 서브모델로 하는 스태킹 앙상블 기법을 활용하여 개별 모델이 갖는 편향을 경감시킬 수 있도록 하였다. 이를 통해 부도위험과 다양한 기업정보들 간의 복잡한 비선형적 관계들을 포착할 수 있으며, 산출에 소요되는 시간이 적다는 머신러닝 기반 부도위험 예측모델의 장점을 극대화할 수 있다. 본 연구가 기존 머신러닝 기반 모델의 한계를 극복 및 개선함으로써 실무에서의 활용도를 높일 수 있는 자료로 활용되기를 바라며, 머신러닝 기반 부도위험 예측 모형의 도입 기준 정립 및 정책적 활용에도 기여할 수 있기를 희망한다.

방화범죄의 실태와 그 대책 - 관심도와 동기의 다양화에 대한 대응 - (The Reserch on Actual Condition of Crime of Arson Which Occurs in Korea and Its Countermeasures)

  • 최종태
    • 시큐리티연구
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    • 제1호
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    • pp.371-408
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    • 1997
  • This article is the reserch on actual condition of crime of arson which occurs in Korea and its countermeasures. The the presented problem in this article are that (1) we have generally very low rate concern about the crime of arson contrary to realistic problems of rapid increase of crime of arson (2) as such criminal motives became so diverse as to the economic or criminal purpose unlike characteristic and mental deficiency of old days, and to countermeasure these problems effectively it presentation the necessity of systemantic research. Based on analysis of reality of arson, the tendency of this arson in Korea in the ratio of increase is said to be higher than those in violence crime or general fire rate. and further its rate is far more greater than those of the U.S.A. and Japan. Arson is considered to be a method of using fire as crime and in case of presently residence to be the abject, it is a public offense crime which aqccompany fatality in human life. This is the well It now fact to all of us. And further in order to presentation to the crime of arson, strictness of criminal law (criminal law No, 164 and 169, and fire protection law No. 110 and 111) and classification of arsonist as felony are institutionary reinforced to punish with certainty of possibility, Therefore, as tendency of arson has been increased compared to other nations, it is necessary to supplement strategical policy to bring out overall concerns of the seriousness of risk and damage of arson, which have been resulted from the lack of understanding. In characteristics analysis of crime of arson, (1) It is now reveald that, in the past such crime rate appeared far more within the boundary of town or city areas in the past, presently increased rate of arsons in rural areas are far more than in the town or small city areas, thereby showing characteristics of crime of arson extending nation wide. (2) general timetable of arson shows that night more than day time rate, and reveald that is trait behavior in secrecy.(3) arsonists are usually arrested at site or by victim or report of third person(82,9%).Investigation activities or self surrenders rate only 11.2%. The time span of arrest is normally the same day of arson and at times it takes more than one year to arrest. This reveals its necessity to prepare for long period of time for arrest, (4) age rate of arson is in their thirties mostly as compared to homicide, robbery and adultery, and considerable numbers of arsons are in old age of over fifties. It reveals age rate is increased (5) Over half of the arsonists are below the junior high school (6) the rate of convicts by thier records is based on first offenders primarily and secondly more than 4 time convicts. This apparently shows necessity of effective correctional education policy for their social assimilation together with re-investigation of human education at the primary and secondary education system in thier life. The examples of motivation for arosnits, such as personal animosity, fury, monetary swindle, luscious purpose and other aims of destroying of proof, and other social resistance, violence including ways of threatening, beside the motives of individual defects, are diverse and arsonic suicide and specifically suicidal accompany together keenly manifested. When we take this fact with the criminal theory, it really reveals arsons of crime are increasing and its casualities are serious and a point as a way of suicide is the anomie theory of Durkheim and comensurate with the theory of that of Merton, Specifically in the arson of industrial complex, it is revealed that one with revolutionary motive or revolting motive would do the arsonic act. For the policy of prevention of arsons, professional research work in organizational cooperation for preventive activities is conducted in municipal or city wise functions in the name of Parson Taskforces and beside a variety of research institutes in federal government have been operating effectively to countermeasure in many fields of research. Franch and Sweden beside the U.S. set up a overall operation of fire prevention research funtions and have obtained very successful result. Japan also put their research likewise for countermeasure. In this research as a way of preventive fire policy, first, it is necessary to accomodate the legal preventitive activities for fire prevention in judicial side and as an administrative side, (1) precise statistic management of crime of arson (2) establishment of professional research functions or a corporate (3) improvement of system for cooperative structural team for investigation of fires and menpower organization of professional members. Secondly, social mentality in individual prospect, recognition of fires by arson and youth education of such effect, educational program for development and practical promotion. Thirdly, in view of environmental side, the ways of actual performance by programming with the establishment of cooperative advancement in local social function elements with administrative office, habitants, school facilities and newspapers measures (2) establishment of personal protection where weak menpowers are displayed in special fire prevention measures. These measures are presented for prevention of crime of arson. The control of crime and prevention shall be prepared as a means of self defence by the principle of self responsibility Specifically arsonists usually aims at the comparatively weak control of fire prevention is prevalent and it is therefore necessary to prepare individual facilities with their spontaneous management of fire prevention instead of public municipal funtures of local geverment. As Clifford L. Karchmer asserted instead of concerns about who would commit arson, what portion of area would be the target of the arson. It is effective to minister spontaveously the fire prevention measure in his facility with the consideration of characteristics of arson. On the other hand, it is necessary for the concerned personnel of local goverment and groups to distribute to the local society in timely manner for new information about the fire prevention, thus contribute to effective result of fire prevention result. In consideration of these factors, it is inevitable to never let coincide with the phemonemon of arsons in similar or mimic features as recognized that these could prevail just an epedemic as a strong imitational attitude. In processing of policy to encounter these problems, it is necessary to place priority of city policy to enhancement of overall concerns toward the definitive essense of crime of arson.

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