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Quasi-Monte Carlo Approach to Asian Options Pricing

机译:拟蒙特卡罗方法进行亚洲期权定价

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摘要

Asian options is a contract which gives right to the holder to buy/sell the underlying asset for its average price over prescribed period and it has a lower unpredictability, hence exposing cheaper relative to their European counterparts. Asian options are commonly traded on currencies and commodity products which have low trade volumes. Therefore, the pricing of such options become one of the most interesting fields. Much research work has been done on the European and American options using various techniques like Black-Scholes, binomial tree, finite difference, Monte Carlo and Quasi-Monte Carlo model. But none of the studies compares and identified the best model for options pricing, particularly for Asian options pricing. This article aims to evaluate the effectiveness of existing models on Asian options pricing and to suggest a suitable model for forecasting Asian options prices. Findings of the study indicate that the Quasi-Monte Carlo technique is more superior to any other techniques due to its results with high precision and low standard deviation.
机译:亚洲期权是一项合同,赋予持有人权利在规定的时期内以其平均价格买卖标的资产,并且其不可预测性较低,因此相对于欧洲对应方而言价格便宜。亚洲期权通常以交易量低的货币和商品交易。因此,此类期权的定价成为最有趣的领域之一。已经使用诸如布莱克-斯科尔斯(Black-Scholes),二项式树,有限差分,蒙特卡洛(Monte Carlo)和准蒙特卡洛(Quasi-Monte Carlo)模型之类的各种技术,对欧美选项进行了大量研究工作。但是,没有一项研究能够比较和确定最佳期权定价模型,尤其是亚洲期权定价模型。本文旨在评估现有模型对亚洲期权定价的有效性,并为预测亚洲期权价格提供合适的模型。研究结果表明,准蒙特卡罗技术由于具有高精度和低标准偏差的结果而比其他任何技术都要优越。

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