Journal of Intelligence and Information Systems (지능정보연구)

Korea Intelligent Information System Society (한국지능정보시스템학회)
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Performance Improvement on Short Volatility Strategy with Asymmetric Spillover Effect and SVM

비대칭적 전이효과와 SVM을 이용한 변동성 매도전략의 수익성 개선

  • 김선웅 (국민대학교 비즈니스IT전문대학원)
  • Received : 2020.01.16
  • Accepted : 2020.03.15
  • Published : 2020.03.31
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Abstract

Fama asserted that in an efficient market, we can't make a trading rule that consistently outperforms the average stock market returns. This study aims to suggest a machine learning algorithm to improve the trading performance of an intraday short volatility strategy applying asymmetric volatility spillover effect, and analyze its trading performance improvement. Generally stock market volatility has a negative relation with stock market return and the Korean stock market volatility is influenced by the US stock market volatility. This volatility spillover effect is asymmetric. The asymmetric volatility spillover effect refers to the phenomenon that the US stock market volatility up and down differently influence the next day's volatility of the Korean stock market. We collected the S&P 500 index, VIX, KOSPI 200 index, and V-KOSPI 200 from 2008 to 2018. We found the negative relation between the S&P 500 and VIX, and the KOSPI 200 and V-KOSPI 200. We also documented the strong volatility spillover effect from the VIX to the V-KOSPI 200. Interestingly, the asymmetric volatility spillover was also found. Whereas the VIX up is fully reflected in the opening volatility of the V-KOSPI 200, the VIX down influences partially in the opening volatility and its influence lasts to the Korean market close. If the stock market is efficient, there is no reason why there exists the asymmetric volatility spillover effect. It is a counter example of the efficient market hypothesis. To utilize this type of anomalous volatility spillover pattern, we analyzed the intraday volatility selling strategy. This strategy sells short the Korean volatility market in the morning after the US stock market volatility closes down and takes no position in the volatility market after the VIX closes up. It produced profit every year between 2008 and 2018 and the percent profitable is 68%. The trading performance showed the higher average annual return of 129% relative to the benchmark average annual return of 33%. The maximum draw down, MDD, is -41%, which is lower than that of benchmark -101%. The Sharpe ratio 0.32 of SVS strategy is much greater than the Sharpe ratio 0.08 of the Benchmark strategy. The Sharpe ratio simultaneously considers return and risk and is calculated as return divided by risk. Therefore, high Sharpe ratio means high performance when comparing different strategies with different risk and return structure. Real world trading gives rise to the trading costs including brokerage cost and slippage cost. When the trading cost is considered, the performance difference between 76% and -10% average annual returns becomes clear. To improve the performance of the suggested volatility trading strategy, we used the well-known SVM algorithm. Input variables include the VIX close to close return at day t-1, the VIX open to close return at day t-1, the VK open return at day t, and output is the up and down classification of the VK open to close return at day t. The training period is from 2008 to 2014 and the testing period is from 2015 to 2018. The kernel functions are linear function, radial basis function, and polynomial function. We suggested the modified-short volatility strategy that sells the VK in the morning when the SVM output is Down and takes no position when the SVM output is Up. The trading performance was remarkably improved. The 5-year testing period trading results of the m-SVS strategy showed very high profit and low risk relative to the benchmark SVS strategy. The annual return of the m-SVS strategy is 123% and it is higher than that of SVS strategy. The risk factor, MDD, was also significantly improved from -41% to -29%.

Fama에 의하면 효율적 시장에서는 일시적으로 높은 수익을 얻을 수는 있지만 꾸준히 시장의 평균적인 수익을 초과하는 투자전략을 만드는 것은 불가능하다. 본 연구의 목적은 변동성의 장중 비대칭적 전이효과를 이용하는 변동성 매도전략을 기준으로 투자 성과를 추가적으로 개선하기 위하여 SVM을 활용하는 투자 전략을 제안하고 그 투자성과를 분석하고자 한다. 한국 시장에서 변동성의 비대칭적 전이효과는 미국 시장의 변동성이 상승한 날은 한국 시장의 아침 동시호가에 변동성 상승이 모두 반영되지만, 미국 시장의 변동성이 하락한 날은 한국 시장의 변동성이 아침 동시호가에서 뿐만 아니라 장 마감까지 계속해서 하락하는 이상현상을 말한다. 분석 자료는 2008년부터 2018년까지의 S&P 500, VIX, KOSPI 200, V-KOSPI 200 등의 일별 시가지수와 종가지수이다. 11년 동안의 분석 결과, 미국 시장의 변동성이 상승으로 마감한 날은 그 영향력이 한국 시장의 아침 동시호가 변동성에 모두 반영되지만, 미국 시장의 변동성이 하락으로 마감한 날은 그 영향력이 한국 시장의 아침 동시호가뿐만 아니라 오후 장 마감까지도 계속해서 유의적으로 영향을 미치고 있다. 시장이 효율적이라면 미국 시장의 전일 변동성 변화는 한국 시장의 아침 동시호가에 모두 반영되고 동시호가 이후에는 추가적인 영향력이 없어야 한다. 이러한 변동성의 장중 비정상적 전이 패턴을 이용하는 변동성 매도전략을 제안하였다. 미국 시장의 전날 변동성이 하락한 경우 한국 시장에서 아침 동시호가에 변동성을 매도하고 장 마감시에 포지션을 청산하는 변동성 데이트레이딩전략을 분석하였다. 연수익률은 120%, 위험지표인 MDD는 -41%, 위험과 수익을 고려한 성과지수인 Sharpe ratio는 0.27을 기록하고 있다. SVM 알고리즘을 이용해 변동성 데이트레이딩전략의 성과 개선을 시도하였다. 2008년부터 2014년까지의 입력자료를 이용하여 V-KOSPI 200 변동성지수의 시가-종가 변동 방향을 예측하고, 시가-종가 변동율이(-)로 예측되는 경우에만 변동성 매도포지션을 진입하였다. 거래비용을 고려하면 2015년부터 2018년까지 테스트기간의 연평균수익률은 123%로 기준 전략 69%보다 크게 높아지고, 위험지표인 MDD도 -41%에서 -29%로 낮아져, Sharpe ratio가 0.32로 개선되고 있다. 연도별로도 모두 수익을 기록하면서 안정적 수익구조를 보여주고 있고, 2015년을 제외하고는 투자 성과가 개선되고 있다.

Keywords

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