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Recovering jump risk and diffusion parameters implied by market prices of short-dated options.

机译:恢复短期期权市场价格所暗示的跳跃风险和扩散参数。

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摘要

This dissertation uses option prices from near expiration options to extract jump-risk and volatility parameters. To date, the vast majority of empirical option studies have ignored near expiration, or short-dated options. Many of these studies that ignore short-maturity options cite Rubinstein (1985), who excluded all options with less than 21 days until maturity, due to "nonidealalities". It is important to note, however, that overall trading activity in short-dated options (in the final two weeks of trading) is significant, accounting for 30 to 50 percent of total option volume.; Specifically, this dissertation focuses on methods to uncover the jump parameters implied by options with a short time to expiration. Intuitively, consider an option that has one day until expiration. Here, diffusion or volatility will have little, if any, impact, upon option prices even with very large volatility. However, jumps allow for large price moves in a short time interval. As a result, the jump premium should represent a larger portion of the value of an option the closer the option is to expiration. Additionally, because volatility does not have much influence on many short-dated option prices, it is plausible that jump and volatility parameters for short-dated options are largely uncorrelated.; It is found that DIFF, the price difference between the NSX and SPX index options, is significant for high moneyness options, call options that are in-the-money and put options that are out-of-the-money. Also, the implied volatility is critically different, at near term maturities under the jump-diffusion model versus the Black and Scholes model. That is, it is found that the volatility distributions are significantly different when generated by the aforementioned models. Furthermore, the volatility of volatility is notably different for high moneyness options nearing expiration. These findings may have a profound impact upon the manner in which option trader hedge their near maturity option positions.
机译:本文采用近乎到期期权的期权价格来提取跳跃风险和波动率参数。迄今为止,绝大多数经验期权研究都忽略了到期日或短期期权。这些忽略短期到期期权的研究很多都引用了鲁宾斯坦(Rubinstein,1985)的观点,由于“非理想性”,他们将所有到期日不到21天的期权排除在外。重要的是要注意,但是,短期期权的整体交易活动(在交易的最后两周内)非常重要,占期权总交易量的30%至50%。具体而言,本文着重于揭示有效期短的期权隐含的跳变参数的方法。凭直觉来看,考虑到到期日有一天的期权。在这里,即使波动很大,扩散或波动对期权价格的影响也很小。但是,跳跃允许在短时间间隔内大幅波动价格。结果,越接近期权到期,跳水溢价就应该代表期权价值的较大部分。另外,由于波动率对许多短期期权价格的影响不大,因此,短期期权的跳跃和波动率参数在很大程度上是不相关的是合理的;发现DIFF是NSX和SPX指数期权之间的价格差,对于高收益期权,价内看涨期权和价外看跌期权具有重要意义。同样,隐含波动率在跳跃扩散模型与布莱克和斯科尔斯模型下的短期到期日之间也存在重大差异。即,发现当通过前述模型生成时,挥发性分布明显不同。此外,对于即将到期的高额货币期权,波动率的波动性显着不同。这些发现可能对期权交易者对冲其接近到期的期权头寸的方式产生深远的影响。

著录项

  • 作者

    Beyer, Scott Berg.;

  • 作者单位

    University of Missouri - Columbia.;

  • 授予单位 University of Missouri - Columbia.;
  • 学科 Economics Finance.; Business Administration Banking.
  • 学位 Ph.D.
  • 年度 2003
  • 页码 179 p.
  • 总页数 179
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 财政、金融;金融、银行;
  • 关键词

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