• 지능정보연구
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• 제23권2호
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• pp.107-122
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• 2017

주식시장의 주가 수익률에 나타나는 변동성은 투자 위험의 척도로서 재무관리의 이론적 모형에서뿐만 아니라 포트폴리오 최적화, 증권의 가격 평가 및 위험관리 등 투자 실무 영역에서도 매우 중요한 역할을 하고 있다. 변동성은 주가 수익률이 평균을 중심으로 얼마나 큰 폭의 움직임을 보이는가를 판단하는 지표로서 보통 수익률의 표준편차로 측정한다. 관찰 가능한 표준편차는 과거의 주가 움직임에서 측정되는 역사적 변동성(historical volatility)이다. 역사적 변동성이 미래의 주가 수익률의 변동성을 예측하려면 변동성이 시간 불변적(time-invariant)이어야 한다. 그러나 대부분의 변동성 연구들은 변동성이 시간 가변적(time-variant)임을 보여주고 있다. 이에 따라 시간 가변적 변동성을 예측하기 위한 여러 계량 모형들이 제안되었다. Engle(1982)은 변동성의 시간 가변적 특성을 잘 반영하는 변동성 모형인 Autoregressive Conditional Heteroscedasticity(ARCH)를 제안하였으며, Bollerslev(1986) 등은 일반화된 ARCH(GARCH) 모형으로 발전시켰다. GARCH 모형의 실증 분석 연구들은 실제 증권 수익률에 나타나는 두터운 꼬리 분포 특성과 변동성의 군집현상(clustering)을 잘 설명하고 있다. 일반적으로 GARCH 모형의 모수는 가우스분포로부터 추출된 자료에서 최적의 성과를 보이는 로그우도함수에 대한 최우도추정법에 의하여 추정되고 있다. 그러나 1987년 소위 블랙먼데이 이후 주식 시장은 점점 더 복잡해지고 시장 변수들이 많은 잡음(noise)을 띠게 됨에 따라 변수의 분포에 대한 엄격한 가정을 요구하는 최우도추정법의 대안으로 인공지능모형에 대한 관심이 커지고 있다. 본 연구에서는 주식 시장의 주가 수익률에 나타나는 변동성의 예측 모형인 GARCH 모형의 모수추정방법으로 지능형 시스템인 Support Vector Regression 방법을 제안한다. SVR은 Vapnik에 의해 제안된 Support Vector Machines와 같은 원리를 회귀분석으로 확장한 모형으로서 Vapnik의 e-insensitive loss function을 이용하여 비선형 회귀식의 추정이 가능해졌다. SVM을 이용한 회귀식 SVR은 두터운 꼬리 분포를 보이는 주식시장의 변동성과 같은 관찰치에서도 우수한 추정 성능을 보인다. 2차 손실함수를 사용하는 기존의 최소자승법은 부최적해로서 추정 오차가 확대될 수 있다. Vapnik의 손실함수에서는 입실론 범위내의 예측 오차는 무시하고 큰 예측 오차만 손실로 처리하기 때문에 구조적 위험의 최소화를 추구하게 된다. 금융 시계열 자료를 분석한 많은 연구들은 SVR의 우수성을 보여주고 있다. 본 연구에서는 주가 변동성의 분석 대상으로서 KOSPI 200 주가지수를 사용한다. KOSPI 200 주가지수는 한국거래소에 상장된 우량주 중 거래가 활발하고 업종을 대표하는 200 종목으로 구성된 업종 대표주들의 포트폴리오이다. 분석 기간은 2010년부터 2015년까지의 6년 동안이며, 거래일의 일별 주가지수 종가 자료를 사용하였고 수익률 계산은 주가지수의 로그 차분값으로 정의하였다. KOSPI 200 주가지수의 일별 수익률 자료의 실증분석을 통해 기존의 Maximum Likelihood Estimation 방법과 본 논문이 제안하는 지능형 변동성 예측 모형의 예측성과를 비교하였다. 주가지수 수익률의 일별 자료 중 학습구간에서 대칭 GARCH 모형과 E-GARCH, GJR-GARCH와 같은 비대칭 GARCH 모형에 대하여 모수를 추정하고, 검증 구간 데이터에서 변동성 예측의 성과를 비교하였다. 전체 분석기간 1,487일 중 학습 기간은 1,187일, 검증 기간은 300일 이다. MLE 추정 방법의 실증분석 결과는 기존의 많은 연구들과 비슷한 결과를 보여주고 있다. 잔차의 분포는 정규분포보다는 Student t분포의 경우 더 우수한 모형 추정 성과를 보여주고 있어, 주가 수익률의 비정규성이 잘 반영되고 있다고 할 수 있다. MSE 기준으로, SVR 추정의 변동성 예측에서는 polynomial 커널함수를 제외하고 linear, radial 커널함수에서 MLE 보다 우수한 예측 성과를 보여주었다. DA 지표에서는 radial 커널함수를 사용한 SVR 기반의 지능형 GARCH 모형이 가장 우수한 변동성의 변화 방향에 대한 방향성 예측력을 보여주었다. 추정된 지능형 변동성 모형을 이용하여 예측된 주식 시장의 변동성 정보가 경제적 의미를 갖는지를 검토하기 위하여 지능형 변동성 거래 전략을 도출하였다. 지능형 변동성 거래 전략 IVTS의 진입규칙은 내일의 변동성이 증가할 것으로 예측되면 변동성을 매수하고 반대로 변동성의 감소가 예상되면 변동성을 매도하는 전략이다. 만약 변동성의 변화 방향이 전일과 동일하다면 기존의 변동성 매수/매도 포지션을 유지한다. 전체적으로 SVR 기반의 GARCH 모형의 투자 성과가 MLE 기반의 GARCH 모형의 투자 성과보다 높게 나타나고 있다. E-GARCH, GJR-GARCH 모형의 경우는 MLE 기반의 GARCH 모형을 이용한 IVTS 전략은 손실이 나지만 SVR 기반의 GARCH 모형을 이용한 IVTS 전략은 수익으로 나타나고 있다. SVR 커널함수에서는 선형 커널함수가 더 좋은 투자 성과를 보여주고 있다. 선형 커널함수의 경우 투자 수익률이 +526.4%를 기록하고 있다. SVR 기반의 GARCH 모형을 이용하는 IVTS 전략의 경우 승률도 51.88%부터 59.7% 사이로 높게 나타나고 있다. 옵션을 이용하는 변동성 매도전략은 방향성 거래전략과 달리 하락할 것으로 예측된 변동성의 예측 방향이 틀려 변동성이 소폭 상승하거나 변동성이 하락하지 않고 제자리에 있더라도 옵션의 시간가치 요인 때문에 전체적으로 수익이 실현될 수도 있다. 정확한 변동성의 예측은 자산의 가격 결정뿐만 아니라 실제 투자에서도 높은 수익률을 얻을 수 있기 때문에 다양한 형태의 인공신경망을 활용하여 더 나은 예측성과를 보이는 변동성 예측 모형을 개발한다면 주식시장의 투자자들에게 좋은 투자 정보를 제공하게 될 것이다.

• 대한간호학회지
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• 제8권1호
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• pp.16-42
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• 1978

This survey was made for a month starting from November 15 to December 15, 1977 covering 711 students taking the junior. (3rd-yea.) and the senior. (4th-year) at nine college of nursing in Seoul concerning their perception and Attitude toward the profession of nursing, motive for the necessity of learning, environment of study, attitude of study and particulars relevant with study performance, particulars of library, references and reading, assignments and particulars of the degree of confidence for the learning achievement. Through the survey of the above Particulars, the following results were obtained by classifying all subject matters and by analysing motive of the selection of their course, awarding or not awarding of scholarships. 1. General characteristics: it was revealed that 406 students (57.1%) were attending at the junior. while 305 students (42.9%) were taking the senior. Thus, the total number was 711 and their average age was 21.4 years. Their dwelling category was; 73.9 percent of them resided at their parent's home, 214 students (30.1%) were awarded with scholarships. The reason to be attracted by nursing science was the possibility of continuing social life after graduation (43.5%). 2. Their perception and attitude toward the profession of nursing: According to the perception of profession by the students of each grade, students of the 4th grade showed comparatively strong conception. Also, students of the 4th grade showed more positive attitude in the purchase and reading of magazines relative with the science of nursing, in the reading of Code for Nurses and in their interest in the activity of nursing field. For the necessity of mission of nurse, 97.7 percent of the entire number of students covered responded to necessity. For the necessity of the particular humanity and particularity in the character of nurses, 95.8 percent of those students responded to necessity. By the each grade, students of the 4th grade showed more response. 3. As to professional field desired after completing the professional course: 57 percent of those students desired for clinician nurse while 55 percents desired for community health-nurse. 4. As to the environment of study: they were mostly satisfied with their present residential environment. However, they complained of inconvenience at their lecture-halls. Students of the 3rd grade showed more complain. As to their attitude toward the adjustment of environment of study, they showed a affirmative response. As to the opinion of factors which interfere with their study, comparatively strong response was showed in their scepticism in the science of nursing, insufficient comprehension in general learning, relation with professors n4 discrepancy in the method of study. According to opinions of students at each grade, students of the 4th grade showed more scepticism. 5. Particulars relative with their attitude and performance of study : As to their knowledge of the objectives of their study of subject, the majority was to study with a partial knowledge of the objectives of their study. As to the plan of study, a low percentage indicated management of routine life under regular scheduling. Students of the 4th grade responded to rather planned life. As to time spent in independent study, response to concentrated study when necessary was stronger than that to regular daily study. Students of the 4th grade showed stronger response to regular study than that of the 3rd grade. As to the contents of their note-taking, 67.4 percents of those students responded to such regulatory procedure performing in the lecture-hall as they listen to lectures. 17.3 percents of those students showed response to adding supplementary informations from references to what was entered in choir note-taking at their lecture-halls. 6. Particulars of library, references and reading books: As to receiving of instruction for the utilization of library and time of receiving such instruction 64.7 percents of those students had received such instruction. 66.7 percents of the those responded received such instruction at orientation conducted for freshmen. As to the convenience of the utilization of library, 49.9 percents of those students responded to convenience. However, students of the 3rd grade showed a much stronger response to inconvenience. As to the time of the utilization of library,92.5 percents of those students showed a response to occasional utilization for particular purpose than regular utilization. 53.2 percents of those students responded to ordinary in quantity that library have references. 34.2 percents of those students responded to insufficient. As to the particular relative with the method and field of reading: 53.5 percents of those students responded to intensive reading and was the majority. As to the reading field, fiction u as the majority. When read any books for their major, they usually rend Korean text-b, oks. 7. Particular relative with giving assignment: All respondents were well aware of the objectives of giving home tasks. As to the attitude toward assignments and performing home tasks, 54.8 percents of those students to making ostentatious study because of an excessive quantity of assignments imposed. For performing assignment, they showed comparatively positive response. Also, 52.2 percents of those students responded that they usually submitted complected assignment with references. 8. As to motive to realize the necessity of study : 55.6 percents of those students responded that they realized such necessity in communication with patients when they were engaged in clinical practice. Also, 8.6, the lowest percents of those students responded that they realized such necessity in the course of conversation with nurses when they were engaged in clinical practice. 9. As to the determination of their confidence in the performance of study relative with clinical experience: They showed a general inclination of having in nursing. The major response was that they came to well comprehend the patients families. the lowest response was that they could apply what was learned at lecture-hall to practice. This response incidentally showed the distance the lecture-hall and practical study. In general items, students of the 4th grade showed more favorable response than students of the 3rd grade and there was a significant difference. 10. As to the perception and attitude toward profession according to the motive of selecting the nursing science : Those who selected the nursing voluntarily showed stronger conception than those who selected the nursing through indirect influence. However, there was no significant difference on this point. Only there was a remarkable difference in the reading of Code for Nurses. 11. Those who showed a stronger conception in the profession of nursing according to the motives of attractive nursing science indicated a strong will and ability to manage stable life and comparatively strong response was shown in the management of good home life because of the good adaptability of the science to their character. This group showed a strong conception of the profession than those who responded that they prefer this profession out of a longing for the work of a hospital and for the easy obtaining of opportunity to immigrate to over seas and for economic cause and for high school grade. There was significant difference between these two groups, 12. As to the conception and attitude toward the profession of nursing according to benefits by scholarships, those who were benefitted by scholarship showed stronger conception of profession than those who did not receive scholarship and there was a remarkable difference between these two categories. However, there was no remarkable difference between these two categories in the extent of interest of the activities of nursing fields and in the reading of Code for Nurses. 13. As activation for study according to the benefits of scholarships, those who were benefitted by scholarships showed stronger response to the motive for study comparing with those who receive. 14. As to tile field of reading according to the benefits by scholarships, those who received scholarships tended to read autobiographies and essayers to a considerable extent. Those who did not receive scholarships tended to read novels. Those who received scholarships more read nursing boots than those who did not receive scholarships. 15. As to the attitude of study and doing of assignment according to benefits of scholarships, those who received scholarships managed a favorable life with schedules for study, More students of receiving scholarship showed a regular study for more than one hour per day. Also, in the method of doing home tasks, more students of receiving scholarship showed reference to relative books frequently for the submission of completed assignments.