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A Regime-Switching Copula Approach to Modeling Day-Ahead Prices in Coupled Electricity Markets (Pre-print) 耦合电力市场日前电价模型的制度切换联结法(预印本)
Pub Date : 2017-09-15 DOI: 10.2139/ssrn.2912312
Anca Pircalabu, F. Benth
The recent price coupling of many European electricity markets has triggered a fundamental change in the interaction of day-ahead prices, challenging additionally the modeling of the joint behavior of prices in interconnected markets. In this paper we propose a regime-switching AR-GARCH copula to model pairs of day-ahead electricity prices in coupled European markets. While capturing key stylized facts empirically substantiated in the literature, this model easily allows us to 1) deviate from the assumption of normal margins and 2) include a more detailed description of the dependence between prices. We base our empirical study on four pairs of prices, namely Germany-France, Germany-Netherlands, Netherlands-Belgium and Germany-Western Denmark. We find that the marginal dynamics are better described by the flexible skew t distribution than the benchmark normal distribution. Also, we find significant evidence of tail dependence in all pairs of interconnected areas we consider. As applications of the proposed empirical model, we consider the pricing of financial transmission rights and the forecasting of tail quantiles. In both applications, we highlight the effects of the distributional assumptions for the margins and the tail dependence.
最近许多欧洲电力市场的价格耦合引发了日前价格相互作用的根本变化,这对相互关联市场中价格联合行为的建模提出了额外的挑战。在本文中,我们提出了一个制度切换AR-GARCH联结来模拟耦合欧洲市场的日前电价对。虽然捕获了文献中经验证实的关键风格化事实,但该模型很容易使我们1)偏离正常边际的假设,2)包括对价格之间依赖关系的更详细描述。我们的实证研究基于四对价格,即德国-法国、德国-荷兰、荷兰-比利时和德国-丹麦西部。结果表明,柔性偏态t分布比基准正态分布能更好地描述系统的边缘动态。此外,我们发现在我们考虑的所有相互关联的区域对中存在显著的尾部依赖性。作为实证模型的应用,我们考虑了金融传输权的定价和尾分位数的预测。在这两个应用中,我们强调了边际分布假设和尾部依赖的影响。
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引用次数: 1
The Relative Efficiency and Volatility of Indian Agricultural Commodity Futures Markets 印度农产品期货市场的相对效率与波动性
Pub Date : 2017-05-26 DOI: 10.2139/ssrn.2975298
Velmurugan Palaniappan Shanmugam, P. Armah
Indian agricultural commodity futures market is in the nascent stage. Since lifting of ban on futures trading in the beginning of this millennium, it is still facing serious threat from learned and the lay. Like any other futures market, Indian agricultural commodity futures markets are also expected to perform the role of price discovery and risk management. After having outlined the present status of Indian agricultural commodities market, a comprehensive study on the interrelationship between the spot and futures prices of 15 agricultural commodities is carried out to understand the dynamics of the co-integration, price causality and volatility factors which determine the efficiency of those markets for the period which stand different by various economical and market conditions, for arriving at relative conclusions. The Johansen’s co-integration test on the spot and futures data of the 15 agricultural commodities has shown that the spot and futures market were co-integrated). This proved that the market was efficient and the agriculture commodity futures exchanges provided efficient hedge against price risk emerging in respective commodities. The co-integration between spot price and future spot prices is the indication of efficiency and developed nature of the market. The Granger Causality Test results on the direction of flow of information between the spot and futures market shows that in majority (9 out of 15) of the commodities there were bi-directional flow of information. This shows that due to information flow from both sides, spot to future markets and future market to spot market, both were equally responsible for the price discovery process. The unidirectional causal relationship exhibited in six (6) commodities showed that futures market is leading the spot market. Whereas in terms of volatility, the GARCH test results show that there is volatility clustering and persistence throughout the study period. Even the Granger causality test on volatility revealed that the causation of volatility was bi-directional in 10 commodities. To be specific, we show that Indian agricultural commodities markets are highly efficient during the study period, including the period of price spikes and price distortions. The results of this study, stated above, shows that Indian agricultural commodity futures trading is highly efficient and playing the role it is supposed to play pretty good. The conclusions would certainly serve the concerned policy makers in decision making. Let us expect that the scenario of suspension and ban on futures trading in agricultural commodities is not repeated again, in the interest of Indian farmers. In-spite-of the above positive indications of the efficiency of Indian agriculture commodity market, it has witnessed massive and prolonged price escalations since 2007. The price spikes may be attributed to other fundamental factors not related to the scope of a futures exchange and call for further research.
印度农产品期货市场尚处于起步阶段。自本世纪初解除期货交易禁令以来,它仍然面临着来自学术界和业内人士的严重威胁。与任何其他期货市场一样,印度农产品期货市场也有望发挥价格发现和风险管理的作用。在概述了印度农产品市场的现状之后,对15种农产品的现货和期货价格之间的相互关系进行了全面的研究,以了解协整、价格因果关系和波动性因素的动态,这些因素决定了不同经济和市场条件下这些市场的效率,从而得出相对的结论。对15种农产品的现货和期货数据进行约翰森协整检验,现货和期货市场协整)。这证明了市场是有效的,农产品期货交易所对各自商品出现的价格风险提供了有效的对冲。现货价格与未来现货价格之间的协整是市场效率和发达性质的体现。现货和期货市场之间信息流动方向的格兰杰因果检验结果表明,绝大多数商品(15个商品中有9个)存在双向信息流动。这表明,由于双方的信息流,现货市场到未来市场和未来市场到现货市场,双方对价格发现过程负有同等责任。6种商品表现出单向因果关系,表明期货市场主导现货市场。而在波动率方面,GARCH检验结果表明,波动率在整个研究期间存在聚类和持久性。甚至对波动率的格兰杰因果检验也显示出10种商品波动率的因果关系是双向的。具体而言,我们表明,在研究期间,包括价格飙升和价格扭曲时期,印度农产品市场是高效的。综上所述,本研究的结果表明,印度农产品期货交易效率很高,并且很好地发挥了它应该发挥的作用。这些结论肯定会对有关决策者的决策有所帮助。让我们期待,为了印度农民的利益,暂停和禁止农产品期货交易的情况不会再次发生。尽管印度农产品市场的效率有上述积极迹象,但自2007年以来,它见证了大规模和长期的价格上涨。价格飙升可能归因于与期货交易所范围无关的其他基本面因素,需要进一步研究。
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引用次数: 0
An Analytical Expression for Bivariate Normal Distribution 二元正态分布的解析表达式
Pub Date : 2017-02-25 DOI: 10.2139/ssrn.2924071
Kelin Pan
An analytical expression for bivariate normal distribution function is obtained. The bivariate normal integrand is expressed as exponential expansion and the integration is analytically expressed by recurrence formulas. The desired accuracy can be reached by taking the number of expansions. The analytical approximation results from finite expansions.
得到了二元正态分布函数的解析表达式。二元正态被积函数用指数展开式表示,积分用递归式解析表示。通过取展开的次数可以达到所需的精度。解析近似是由有限展开得到的。
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引用次数: 2
The Nordic Futures Market for Power: Finally Mature and Efficient? 北欧电力期货市场:最终走向成熟和高效?
Pub Date : 2016-10-27 DOI: 10.21314/JEM.2016.151
Erik Smith-Meyer, O. Gjølberg
A number of studies have found nearby futures prices in the Nordic power market to be biased forecasts, overshooting subsequent spot prices. This could be due to a persistent risk premium in a market dominated by long hedgers. However, in several studies the size of the bias has been taken as evidence of the market being immature and inefficient. In this paper, we present the results from an updated study of the forecasting performance of Nordic power futures. Using observations from October 2003 through January 2015, we estimate the standard models as well as a set of models in which we allow for seasonal variations and possible shifts in the risk premium, given structural changes in the market. Further, we report the results from simulated investments in which we persistently short nearby futures and maintain this position through expiration. We find that, after 2008, Nordic short-term power futures became unbiased and more precise forecasts. Consequently, we conclude that the Nordic futures market for power might have matured and now appears to be at least weak-form efficient. We suggest that the physical integration of the Nordic and Dutch markets through the opening of the NorNed cable in 2008 may have been a factor that contributed to this development.
许多研究发现,北欧电力市场附近的期货价格预测存在偏差,超过了随后的现货价格。这可能是由于在一个由多头对冲者主导的市场上,风险溢价持续存在。然而,在一些研究中,偏差的大小被视为市场不成熟和低效的证据。在本文中,我们介绍了北欧电力期货预测绩效的最新研究结果。利用从2003年10月到2015年1月的观察结果,我们估计了标准模型以及一组模型,在这些模型中,我们考虑了季节性变化和风险溢价的可能变化,考虑了市场的结构性变化。此外,我们报告了模拟投资的结果,在这些投资中,我们持续做空附近的期货,并在到期时保持这一头寸。我们发现,2008年以后,北欧短期电力期货的预测变得更加公正和准确。因此,我们得出结论,北欧电力期货市场可能已经成熟,现在看来至少是弱形式有效的。我们认为,2008年NorNed电缆开通后,北欧和荷兰市场的实际整合可能是促成这一发展的一个因素。
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引用次数: 5
Cross Hedging Effectiveness of S&P500 and NIKKEI225 Futures to the Philippine Stock Exchange Composite Index 标准普尔500和日经225期货对菲律宾证券交易所综合指数的交叉对冲有效性
Pub Date : 2016-08-25 DOI: 10.16980/JITC.12.4.201608.223
P. Maghirang
The study evaluated other countries’ index futures in managing risk of PSEi by using 486 daily closing prices from, May 15, 2013 to October 8, 2015. Cross-hedging ratios and cross-hedging performance of S&P500 and NIKKEI225 futures were estimated with the use of the OLS regression, VECM and the GARCH models. The cross-hedging effectiveness analysis was performed by in-sample and out-of-sample excluding data of 86 days. The results from unit root test showed that the time series of the first difference variables were stationary. The long-run relationship between PSEi and the three index futures was established by applying the Johansen co-integration model. The computed hedge ratios and cross-hedging effectiveness were almost similar for OLS and GARCH method. Among the two index futures, S&P500 futures has better cross-hedging effectiveness with PSEi than NIKKEI225 futures. But overall, the two futures used was not as effective in minimizing risk of PSEi as compared to direct hedging. Hence, it is necessary to look for other possible risk management tool (i.e. other countries’ index futures/foreign exchange futures) to be cross-hedged with PSEi that will produce a better hedging effectiveness.
本研究使用2013年5月15日至2015年10月8日的486个每日收盘价来评估其他国家指数期货管理PSEi风险的能力。运用OLS回归、VECM和GARCH模型对标准普尔500指数和日经225指数期货的交叉套期保值比率和交叉套期保值业绩进行了估计。交叉对冲有效性分析采用样本内和样本外排除86天的数据。单位根检验结果表明,一阶差分变量的时间序列是平稳的。运用Johansen协整模型建立了PSEi与三大股指期货的长期关系。OLS和GARCH方法计算的套期保值比率和交叉套期保值有效性几乎相似。在两种指数期货中,标普500期货与PSEi的交叉对冲效果优于日经225期货。但总体而言,与直接对冲相比,所使用的两种期货在最小化PSEi风险方面并不有效。因此,有必要寻找其他可能的风险管理工具(即其他国家的指数期货/外汇期货)与PSEi交叉对冲,从而产生更好的对冲效果。
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引用次数: 0
Trading VIX Futures Under Mean Reversion with Regime Switching 均值回归下的波动率指数期货交易
Pub Date : 2016-05-25 DOI: 10.2139/ssrn.2784215
Jiao Li
This paper studies the optimal VIX futures trading problems under a regime-switching model. We consider the VIX as mean reversion dynamics with dependence on the regime that switches among a finite number of states. For the trading strategies, we analyze the timings and sequences of the investor’s market participation, which leads to several corresponding coupled system of variational inequalities. The numerical approach is developed to solve these optimal double stopping problems by using projected-successive-over-relaxation (PSOR) method with Crank–Nicolson scheme. We illustrate the optimal boundaries via numerical examples of two-state Markov chain model. In particular, we examine the impacts of transaction costs and regime-switching timings on the VIX futures trading strategies.
本文研究了制度转换模型下的最优VIX期货交易问题。我们认为VIX是均值回归动力学,依赖于在有限数量的状态之间切换的制度。对于交易策略,我们分析了投资者市场参与的时机和顺序,从而得到了几个相应的变分不等式耦合系统。利用Crank-Nicolson格式的投影-连续-过松弛(PSOR)方法,提出了求解这些最优双停止问题的数值方法。我们通过两态马尔可夫链模型的数值例子说明了最优边界。特别是,我们研究了交易成本和制度切换时机对VIX期货交易策略的影响。
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引用次数: 7
From the Samuelson Volatility Effect to a Samuelson Correlation Effect: An Analysis of Crude Oil Calendar Spread Options 从萨缪尔森波动效应到萨缪尔森相关效应:原油日历价差期权分析
Pub Date : 2016-03-06 DOI: 10.2139/ssrn.2501931
Lorenz Schneider, B. Tavin
Our first aim in this paper is to introduce a futures-based model able of capturing the main features displayed by Crude Oil futures and options contracts, such as the Samuelson volatility effect and the volatility smile. We calculate the joint characteristic function of two futures contracts in the model in analytic form and use it to price calendar spread options. In an empirical application we show that the model, in contrast to simpler nested models, can be successfully calibrated to market prices of vanilla and calendar spread options. Our second aim is to use this model to analyze the dependence structure of Crude Oil futures contracts. To this end, we propose analytical expressions giving the copula and copula density directly in terms of the joint characteristic function. These tools allow us to perform an in-depth analysis for pairs of futures, and we observe a phenomenon we call the Samuelson correlation effect.
本文的第一个目标是引入一个基于期货的模型,该模型能够捕捉原油期货和期权合约所显示的主要特征,如萨缪尔森波动率效应和波动率微笑。我们以解析形式计算模型中两个期货合约的联合特征函数,并将其用于日历价差期权的定价。在一个实证应用中,我们表明,与更简单的嵌套模型相比,该模型可以成功地校准到香草和日历价差期权的市场价格。我们的第二个目标是利用该模型分析原油期货合约的依赖结构。为此,我们提出了用联合特征函数直接给出联结和联结密度的解析表达式。这些工具使我们能够对期货对进行深入分析,我们观察到一种我们称之为萨缪尔森相关效应的现象。
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引用次数: 20
Pricing of Long-Dated Commodity Derivatives with Stochastic Volatility and Stochastic Interest Rates 具有随机波动率和随机利率的长期商品衍生品定价
Pub Date : 2016-01-06 DOI: 10.2139/ssrn.2712025
Benjamin Cheng, Christina Sklibosios Nikitopoulos, E. Schlögl
Aiming to study pricing of long-dated commodity derivatives, this paper presents a class of models within the Heath, Jarrow, and Morton (1992) framework for commodity futures prices that incorporates stochastic volatility and stochastic interest rate and allows a correlation structure between the futures price process, the futures volatility process and the interest rate process. The functional form of the futures price volatility is specified so that the model admits finite dimensional realisations and retains affine representations, henceforth quasi-analytical European futures option pricing formulae can be obtained. A sensitivity analysis reveals that the correlation between the interest rate process and the futures price process has noticeable impact on the prices of long-dated futures options, while the correlation between the interest rate process and the futures price volatility process does not impact option prices. Furthermore, when interest rates are negatively correlated with futures prices then option prices are more sensitive to the volatility of interest rates, an effect that is more pronounced with longer maturity options.
为了研究长期商品衍生品的定价,本文提出了Heath, Jarrow, and Morton(1992)框架下的一类商品期货价格模型,该模型包含随机波动率和随机利率,并允许期货价格过程、期货波动率过程和利率过程之间的关联结构。指定期货价格波动的函数形式,使模型允许有限维度实现并保留仿射表示,因此可以得到准解析欧式期货期权定价公式。敏感度分析表明,利率过程与期货价格过程的相关性对长期期货期权价格有显著影响,而利率过程与期货价格波动过程的相关性对期权价格没有影响。此外,当利率与期货价格呈负相关时,期权价格对利率的波动更为敏感,这种影响在期限较长的期权中更为明显。
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引用次数: 9
Influência Intradiária Do Preço Internacional Do Petróleo Nas Ações Da Petrobrás (Influence of Intraday International Oil Price in Petrobras’ Stocks) 国际油价对巴西国家石油公司股票的日内影响(日内国际油价对巴西国家石油公司股票的影响)
Pub Date : 2015-04-02 DOI: 10.15194/JOFI_2015.V1.I1.1
D. Santos, E. C. Lucas, Vinicius Brunassi Silva, Bruno Nunes Medeiro
Portuguese Abstract: Objetivo. O objetivo deste artigo e aferir causalidade entre a acao preferencial da Petrobras (PETR4) com o mercado futuro de commodities de petroleo (contratos com primeiro vencimento CL1) e o indice futuro do S&P 500 (contratos com primeiro vencimento, SP1). Metodologia. Utilizamos o vetor auto-regressivo (VAR) e o vetor de correcao de erros (VEC) para descrever a estrutura de interdependencia entre as variaveis. Achados. Os testes de causalidade indicaram que a commodity de petroleo e o indice de acoes norte-americano Granger causam PETR4. Verificamos que um modelo VAR(1) e o mais adequado para capturar o efeito cruzado entre as variaveis. Por fim, os testes indicaram que o modelo do tipo VEC melhora as previsoes para as variaveis PETR4 e CL1. Limitacoes. Apesar de utilizar um grande volume de informacoes intradiarias, os dados referem-se a apenas seis meses de observacoes, o que pode viesar os resultados obtidos. Originalidade/Valor. O estudo e pioneiro (ao menos no conhecimento dos autores) em averiguar relacoes entre esses ativos. English Abstract: Objective. This paper aims to assess causality between the Petrobras’ stocks (PETR4) with the future market for oil (CL1) and the S&P 500 futures. Methodology. We use the vector autoregression (VAR) and vector error correction (VEC) for describing the structure of interdependence between variables. Findings. The causality tests indicated that the commodity oil and the North American stock index Granger cause PETR4. We found that a VAR(1) model is the most appropriate to capture the cross effect between variables. Finally, the tests indicated that the model of type VEC improves predictions for PETR4 and CL1 variables. Limitations. Despite using a large volume of intraday information, data refer to only six months of observations, which can bias the results. Originality/Value. Under the authors’ knowledge, this is a pioneering study about relationships between these assets.
葡萄牙语摘要:客观。本文的目的是评估巴西国家石油公司(Petrobras)的优先股票(PETR4)与石油商品期货市场(CL1)和标准普尔500期货指数(SP1)之间的因果关系。方法。我们使用自回归向量(VAR)和纠错向量(VEC)来描述变量之间的相互依赖结构。发现。因果关系检验表明,石油商品和美国格兰杰股票指数引起了PETR4。我们发现VAR(1)模型最适合捕捉变量之间的交叉效应。最后,检验表明,VEC模型改进了对变量PETR4和CL1的预测。Limitacoes。尽管使用了大量的日内信息,但数据仅指6个月的观察,这可能会影响结果。创意/值。这项研究是确定这些资产之间关系的先驱(至少在作者的知识中)。他的父亲是一名律师,母亲是一名律师。本文旨在评估巴西国家石油公司股票(PETR4)与未来石油市场(CL1)和标准普尔500期货之间的关系。方法。我们使用向量自回归(VAR)和向量误差修正(VEC)来描述变量之间的相互依赖结构。发现。因果检验表明,商品石油和北美格兰杰股票指数导致石油4。我们发现VAR(1)模型最适合捕捉变量之间的交叉效应。最后,检验表明VEC型模型改进了对PETR4和CL1变量的预测。限制。尽管使用了大量的日内信息,但数据只涉及6个月的观测,这可能会影响结果。Originality /值。= =地理= =根据美国人口普查,这个县的面积为。
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引用次数: 3
Price Discovery and Foreign Participation in Korea's Government Bond Cash and Futures Markets 韩国政府债券现货和期货市场的价格发现和外资参与
Pub Date : 2015-03-17 DOI: 10.2139/ssrn.2580691
Jaehun Choi, Hosung Lim, Rogelio V. Mercado, Cyn‐Young Park
This paper examines the impact of foreign participation in Korean Treasury Bond (KTB) futures and its role in price discovery for KTBs, using daily transactions data from the over-the-counter market for KTBs and from the Korea Exchange for the futures. Our analysis suggests that foreign trading in the KTB futures market leads the price discovery process for the underlying bonds. Empirical results show that foreigners’ daily net long positions in the futures market exert significant influence in KTB and KTB futures prices. We also find that it is the unexpected component of foreign investors’ net long futures positions that explains a significant share of the pricing effects, suggesting that how foreign trading responds to news carries additional information content.
本文利用场外交易市场和韩国期货交易所的每日交易数据,研究了外国投资者参与韩国国债(KTB)期货的影响及其在KTB价格发现中的作用。我们的分析表明,KTB期货市场的外国交易主导了标的债券的价格发现过程。实证结果表明,外国人在期货市场的日净多头头寸对KTB和KTB期货价格有显著影响。我们还发现,外国投资者净多头期货头寸的意外组成部分解释了价格效应的重要份额,这表明外国交易对新闻的反应带有额外的信息内容。
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引用次数: 0
期刊
ERN: Futures (Topic)
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