英文标题：
《Quantum Tunneling of Stock Price in Range Bound Market Conditions》
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作者：
Ovidiu Racorean
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最新提交年份：
2013
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英文摘要：
  Applications of Quantum Tunneling effect have long gone beyond the traditional physical meaning. Initially created by Gamow to explain {\\alpha}-decay of nuclear particles, along the time, quantum tunneling found fertile domain of research in chemistry and recently in biology, where the new discipline of Quantum Biology emerges. The present paper extends the applicability of quantum tunneling to financial markets. In a recent paper [1] a time-independent equation for pricing the options having the underlying stock in a range bound markets is found. The equation is identical with a time-independent Schrodinger equation but incorporates elements of finance. The financial time-independent equation for option pricing is solved to explain a particular explosive violent movement of stock price in range bound markets. The aforementioned particular stock price movement is assimilated with a quantum tunneling effect. The probability of stock price to quantum tunneling out of the bounded region, known as transmission coefficient, is deduced. Quantum aspects of tunneling effect in financial markets are discussed. Recent evidences of price quantum tunneling in stock market are also shown.
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中文摘要：
量子隧道效应的应用早已超出了传统的物理意义。量子隧穿最初是由加莫创建的，目的是解释核粒子的{\\alpha}衰变。随着时间的推移，量子隧穿发现了化学研究的肥沃领域，最近又出现了量子生物学的新学科——生物学。本文将量子隧道的适用性扩展到金融市场。在最近的一篇论文[1]中，我们发现了一个与时间无关的方程，用于在区间市场中对具有标的股票的期权进行定价。该方程与时间无关的薛定谔方程相同，但包含金融元素。通过求解与金融时间无关的期权定价方程，解释了区间市场中股票价格的爆炸性剧烈运动。上述特定的股价运动被量子隧道效应同化。推导了股票价格从有界区域量子隧穿出去的概率，即传递系数。讨论了金融市场中隧道效应的量子方面。股票市场价格量子隧道效应的最新证据也显示了出来。
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：Pricing of Securities        证券定价
分类描述：Valuation and hedging of financial securities, their derivatives, and structured products
金融证券及其衍生产品和结构化产品的估值和套期保值
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