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GATR Journal of Finance and Banking Review Vol. 7 (4) January - March 2023最新文献

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Comparison of Black-Scholes and Garch Option Models on The Kompas100 Index With a Long Straddle Strategy During 2008-2021 2008-2021年康普100指数长跨策略的Black-Scholes和Garch期权模型比较
Pub Date : 2023-03-30 DOI: 10.35609/jfbr.2023.7.4(1)
R. Hendrawan, M. D. A. Hasibuan
Objective –This study aims to look at the use of contract options through Black Scholes and GARCH modeling on the Kompas100 Index with a long straddle strategy both in crisis and non-crisis.Methodology – The data used for the observation period are the closing price of the Kompas100 Index from 2008 to 2021. The testing lasts one month (from February 2008 to December 2021), and three months (from April 2008 to December 2021). To get the results, the average mean square errors (AMSE) of the two models were compared by implementing the long straddle strategy, meaning that the model is better if the percentage number is lower.Findings – Over a one-month period during the crisis, GARCH modeling performed better than Black Scholes modeling, with an error rate of 2.5539% for call options. Meanwhile, Black Scholes’s modeling was better on put options with an error rate of 1.9725%. In the 3-month period, GARCH modeling was better, with error rates for call and put options of 10.3882% and 7.4282%, respectively. In non-crisis years, GARCH modeling beat Black Scholes modeling during a one-month period with an error rate of 0.2689%, while Black Scholes modeling was better on put options with an error rate of 0.2943%. In addition, over a 3-month period, Black Scholes modeling performs better, with error rates on call and put options of 0.8821% and 1.0337%, respectively.Novelty – The longer the agreement term, the greater the error rate in both option models. The study results revealed that the error rate for the 3-month period was higher than the 1-month period.Type of Paper: Empirical/ ReviewJEL Classification: G11, G13.Keywords: Option; Black Scholes; GARCH; AMSE; Long StraddleReference to this paper should be made as follows: Hendrawan, R; Hasibuan, M.D.A. (2023). Comparison of Black-Scholes and Garch Option Models on The Kompas100 Index With a Long Straddle Strategy During 2008-2021, J. Fin. Bank. Review, 7(4), 01 – 15. https://doi.org/10.35609/jfbr.2023.7.4(1)
目的:本研究旨在通过Black Scholes和GARCH模型研究在危机和非危机情况下对康普100指数的长期跨界策略下合约期权的使用。方法-观察期使用的数据是康普100指数2008年至2021年的收盘价。测试时间为1个月(2008年2月至2021年12月),3个月(2008年4月至2021年12月)。为了得到结果,通过实施多跨策略,比较了两种模型的平均均方误差(AMSE),即百分比数越低,模型越好。在危机期间的一个月内,GARCH模型的表现优于Black Scholes模型,看涨期权的错误率为2.5539%。同时,Black Scholes的模型在看跌期权上表现较好,错误率为1.9725%。在3个月期间,GARCH模型表现较好,看涨期权和看跌期权的错误率分别为10.3882%和7.4282%。在非危机年份,GARCH模型在一个月期间的错误率为0.2689%,优于Black Scholes模型,而Black Scholes模型在看跌期权上的错误率为0.2943%。此外,在3个月的时间内,Black Scholes模型表现更好,看涨期权和看跌期权的错误率分别为0.8821%和1.0337%。新颖性——协议期限越长,两种选择模型的错误率就越大。研究结果显示,3个月的错误率高于1个月的错误率。论文类型:Empirical/ ReviewJEL分类:G11, G13。关键词:选择;布莱克斯科尔斯;GARCH;AMSE;本文的参考文献如下:Hendrawan, R;韩川,M.D.A.(2023)。2008-2021年康普100指数的Black-Scholes期权模型与Garch期权模型的比较研究[j]。评论,7(4),01 - 15。https://doi.org/10.35609/jfbr.2023.7.4 (1)
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引用次数: 0
Comparison of Black-Scholes and GARCH Option Models on The Jakarta Islamic Index with Collar Strategy 带领策略雅加达伊斯兰指数的Black-Scholes与GARCH期权模型比较
Pub Date : 2023-03-30 DOI: 10.35609/jfbr.2023.7.4(2)
R. Hendrawan, Z. Arifin
Objective –The revival of the Islamic economy in Indonesia was marked by the establishment of the Jakarta Islamic Index (JII) on July 3, 2000. From 2000 to 2020, two economic crises hit Indonesia in 2008 and 2020. These crises also had an impact on the high price fluctuations of JII. Assets can be protected from significant losses by hedging. One of the hedging strategies was option contracts with a collar strategy.Methodology – The data analysed in this research were the JII closing price data from 2000 to 2020 using the Black Scholes model and the GARCH model with the Collar strategy.Findings – Option with the Collar strategy provided more benefits in crises than without Option. In crisis conditions, the Option with the GARCH method and the collar strategy provided a higher average profit of 3.07% on the one-month Option and 7.01% on the three-month Option than without using the Option with the collar strategy. In non-crisis conditions, the Option using the GARCH method, and the collar strategy provided a 0.16% higher average profit at one-month maturity than without the Option. Meanwhile, the average profit decreased by 1.45% at the three-month maturity. The collar strategy resulted in less volatility. Without a collar strategy, JII volatility was 103%. The collar strategy produced maximum volatility of 12.71%, 15.18%, and 17.14%. The findings also revealed that the GARCH model was better than the Black Scholes based on the AMSE value obtained in crisis conditions with a maturity of one month and three months and in non-crisis conditions with a maturity of one month. Meanwhile, the Black Scholes model showed better results in non-crisis conditions with a maturity of three months.Novelty – Based on the research result, the Option with a collar strategy is effective for hedging in crisis conditions. This research assesses the collar strategy with several different maturity values to get the most effective value.Type of Paper: EmpiricalJEL Classification: G11, G13.Keywords: Black Scholes; Collar Strategy; GARCH; Jakarta Islamic Index; Option Contracts.Reference to this paper should be made as follows: Hendrawan, R; Arifin, Z. (2023). Comparison of Black-Scholes and GARCH Option Models on The Jakarta Islamic Index with Collar Strategy, J. Fin. Bank. Review, 7(4), 16 – 27. https://doi.org/10.35609/jfbr.2023.7.4(2)
目标——2000年7月3日,雅加达伊斯兰指数(JII)的建立标志着印尼伊斯兰经济的复兴。从2000年到2020年,印度尼西亚在2008年和2020年经历了两次经济危机。这些危机也对JII的高价格波动产生了影响。通过套期保值,资产可以避免重大损失。其中一种对冲策略是带项圈策略的期权合约。方法-本研究中分析的数据是2000年至2020年JII收盘价数据,使用Black Scholes模型和GARCH模型与Collar策略。研究结果-期权与衣领策略提供了更多的利益在危机比没有期权。在危机情况下,采用GARCH方法和套圈策略的期权比不使用套圈策略的期权提供了更高的平均利润,一个月期权为3.07%,三个月期权为7.01%。在非危机条件下,使用GARCH方法的期权和套圈策略提供的一个月到期的平均利润比不使用期权高0.16%。与此同时,3个月期平均利润下降了1.45%。项圈策略减少了波动性。如果没有项圈策略,JII的波动率为103%。领圈策略产生的最大波动率分别为12.71%、15.18%和17.14%。GARCH模型在期限为1个月和3个月的危机条件和期限为1个月的非危机条件下的AMSE值优于Black Scholes模型。同时,Black Scholes模型在非危机条件下,期限为3个月的结果更好。新颖性——根据研究结果,在危机条件下,套期保值是有效的。本研究以不同成熟度值来评估领圈策略,以获得最有效值。论文类型:EmpiricalJEL分类:G11、G13。关键词:布莱克·斯科尔斯;领策略;GARCH;雅加达伊斯兰指数;期权合约。本文的参考文献如下:Hendrawan, R;阿里芬,Z.(2023)。雅加达伊斯兰指数的Black-Scholes期权模型与GARCH期权模型的比较[j]。评论,7(4),16 - 27。https://doi.org/10.35609/jfbr.2023.7.4 (2)
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GATR Journal of Finance and Banking Review Vol. 7 (4) January - March 2023
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