unusual jump 中文意思是什麼
unusual jump
解釋
特殊跳叫-
Underlying the assumption that the stock price accords with the model of the stock price fluctuating sources, by comprehensivily applying the stochasitic differential theory and no - arbitriagc thcory, this paper, under the conditions that the risk - free rate r is constant or ito stochasitic process, successively works out the option pricing about the stock price model with that the short - term profit function is piecewise lecture function arid that one with that the short - term profit function is possion jump process, derivats counterpart partial differential equation of option pricing. the outcome states : 1. when the short - term profit function is unusual flunctuating sources bring out a piecewise lecture function, this amendment on the lognormal distribution model does not improve the option price, because this partial differential equation of option pricing is the same one underlying the lognormal distribution model ( see equation 2. 14 )
本文基於股價符合波動源模型的假設，綜合運用隨機微分理論等數學原理和無套利理論等金融理論，依此對短期收益率函數為分段階梯函數和possion跳躍過程的股價波動源模型分別在無風險利率是常數和隨機過程的條件下作了期權定價，推導出了相應的期權定價偏微分方程，結果表明： 1 、由異常波動源帶來的短期收益率函數是分段階梯函數時，這種對股價對數正態分佈模型的修正不能改善期權價格，因為基於這種模型的期權定價偏微分方程與基於股價對數正態分佈模型的期權定價偏微分方程完全相同（見方程2 . 14 ） 。 -
4. after changing the short - term profit function to possion jump process, in the view of that the derivated partial differential equation of the option pricing which different from black - scholes partial differential equation still is that interest rate is constant ( 4. 2 ), the model which does not accord with the real market under the assumption. at last, we derivat a new model of option pricing whoso profit rate is possion jump process under stochastic interest rate ( 5. 13 ), this model not only changes the form of the short - term profit function of the stock price model and avaids the simplization of the profit rate function the unusual flunction sources bring about, but also relaxes the basis assumption of black - scholes option pricing model and makes that the partial differential equation builds the foundation which even approaches the actual market
4 、將短期收益率函數由確定函數修改為possion跳躍過程后，文[ 15 ]推導出的期權定價偏微分方程（見方程4 . 2 ）雖然推廣了black - scholes期權定價偏微分方程，但此時依舊假設利率是常數，這與實際生活中的不符，我們研究了一個隨機利率下短期收益率函數是possion跳躍過程的期權定價模型（見5 . 13 ） ，該模型既改變了股票價格波動源模型中短期收益率函數的形式，避免了異常波動源帶來的收益率函數的簡單化。
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