隱含波動率的背後意涵為何?? - 股票

By Ophelia
at 2019-09-05T15:26
at 2019-09-05T15:26
Table of Contents
看期貨的訂價方程的時候
都會引入波動率到式子中
一般都假設波動率是一個常數
但後來的許多例子都顯示其實波動率會隨時間變動的
這個背後的意涵為何呢??
另外 一般股價我們都會假設它是一個幾何布朗運動
也就是一個擴散方程
如果從擴散方程的角度去思考幾何布朗運動
期貨方程的 variance = σ√T
但在擴散方程 variance= √2DT (擴散方程) (T是一個時間區間)
能否透過上面variance 的相等
把所謂的隱含波動率 和擴散方程中的擴散常數D做一個連結?
σ=√2D ?
這是否意味
擴散係數D是會隨時間改變的呢???
而擴散係數D= KB*T/4piηr,
KB : 波茲曼常數
T: 系統溫度
η: 黏滯係數
r: 粒子大小
是η還是溫度T會隨時間變動呢?
感謝!
--
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股票
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