• Title/Summary/Keyword: Dynamic Delta Hedging

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An Option Hedge Strategy Using Machine Learning and Dynamic Delta Hedging (기계학습과 동적델타헤징을 이용한 옵션 헤지 전략)

  • Ru, Jae-Pil;Shin, Hyun-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.2
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    • pp.712-717
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    • 2011
  • Option issuers generally utilize Dynamic Delta Hedging(DDH) technique to avoid the risk resulting from continuously changing option value. DDH duplicates payoff of option position by adjusting hedge position according to the delta value from Black-Scholes(BS) model in order to maintain risk neutral state. DDH, however, is not able to guarantee optimal hedging performance because of the weaknesses caused by impractical assumptions inherent in BS model. Therefore, this study presents a methodology for dynamic option hedge using artificial neural network(ANN) to enhance hedging performance and show the superiority of the proposed method using various computational experiments.

A Methodology for Hedging Equity Linked Warrant Using Artificial Neural Network (인공신경망을 이용한 주식워런트증권(ELW)의 헤징 방안)

  • Ryu, Jae-Pil;Shin, Hyun-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.3
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    • pp.1091-1098
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    • 2012
  • From the perspective of risk management, financial organization that have issued ELW require an efficient hedging methodology due to recently increased trade volume of ELW. This study presents an ELW hedging methodology using artificial neural network(ANN) to minimize hedging costs. The performance of the presented methodology in this study is examined by analysis utilizing the prices and volatilities of underlying assets, risk free interest rates, and maturities and computational experiments show that the proposed method is superior to existing dynamic delta hedging(DDH) technique in terms of hedging costs ranged from 25% to 250%.

A Study on the Central Bank's Foreign Exchange Market Intervention Strategies with OTC Currency Option Market (중앙은행의 OTC 통화옵션시장을 활용한 외환시장 개입 전략에 관한 연구)

  • Jae-Kwan Park
    • Korea Trade Review
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    • v.47 no.2
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    • pp.103-120
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    • 2022
  • This paper studies the possibility of options as an instrument for central bank to intervene foreign exchange market. As opposed to spot transaction or forward transaction, which impacts spot exchange rate only once, currency options can continuously resist a directional speculative pressure on spot market due to the dynamic delta hedging of OTC currency options market maker. This research also analyzes whether and how central banks can use currency options to lower exchange rate volatility and maintain (implicit) target zones in foreign exchange markets. It argues that short position rather than long position in options will result in market makers dynamically hedging their long option exposure in a stabilizing manner, consistent with the first objective. Selling a "Strangle" allows a central bank to increase the credibility of its commitment to a target zone, and could have a lower expected cost than spot market interventions. However, this strategy also exposes the central bank to an unlimited loss potential. Therefore these kinds of intervention strategies must be used in the short run and temporarily.

Information in the Implied Volatility Curve of Option Prices and Implications for Financial Distribution Industry (옵션 내재 변동성곡선의 정보효과와 금융 유통산업에의 시사점)

  • Kim, Sang-Su;Liu, Won-Suk;Son, Sam-Ho
    • Journal of Distribution Science
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    • v.13 no.5
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    • pp.53-60
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    • 2015
  • Purpose - The purpose of this paper is to shed light on the importance of the slope and curvature of the volatility curve implied in option prices in the KOSPI 200 options index. A number of studies examine the implied volatility curve, however, these usually focus on cross-sectional characteristics such as the volatility smile. Contrary to previous studies, we focus on time-series characteristics; we investigate correlation dynamics among slope, curvature, and level of the implied volatility curve to capture market information embodied therein. Our study may provide useful implications for investors to utilize current market expectations in managing portfolios dynamically and efficiently. Research design, data, and methodology - For our empirical purpose, we gathered daily KOSPI200 index option prices executed at 2:50 pm in the Korean Exchange distribution market during the period of January 2, 2004 and January 31, 2012. In order to measure slope and curvature of the volatility curve, we use approximated delta distance; the slope is defined as the difference of implied volatilities between 15 delta call options and 15 delta put options; the curvature is defined as the difference between out-of-the-money (OTM) options and at-the-money (ATM) options. We use generalized method of moments (GMM) and the seemingly unrelated regression (SUR) method to verify correlations among level, slope, and curvature of the implied volatility curve with statistical support. Results - We find that slope as well as curvature is positively correlated with volatility level, implying that put option prices increase in a downward market. Further, we find that curvature and slope are positively correlated; however, the relation is weakened at deep moneyness. The results lead us to examine whether slope decreases monotonically as the delta increases, and it is verified with statistical significance that the deeper the moneyness, the lower the slope. It enables us to infer that when volatility surges above a certain level due to any tail risk, investors would rather take long positions in OTM call options, expecting market recovery in the near future. Conclusions - Our results are the evidence of the investor's increasing hedging demand for put options when downside market risks are expected. Adding to this, the slope and curvature of the volatility curve may provide important information regarding the timing of market recovery from a nosedive. For financial product distributors, using the dynamic relation among the three key indicators of the implied volatility curve might be helpful in enhancing profit and gaining trust and loyalty. However, it should be noted that our implications are limited since we do not provide rigorous evidence for the predictability power of volatility curves. Meaning, we need to verify whether the slope and curvature of the volatility curve have statistical significance in predicting the market trough. As one of the verifications, for instance, the performance of trading strategy based on information of slope and curvature could be tested. We reserve this for the future research.