資產(chǎn)組合自融資條件及其應(yīng)用
發(fā)布時間:2018-02-13 13:47
本文關(guān)鍵詞: 自融資條件 布朗運動 泊松過程 出處:《西南財經(jīng)大學》2013年碩士論文 論文類型:學位論文
【摘要】:隨著金融數(shù)學的不斷發(fā)展,衍生產(chǎn)品定價已經(jīng)成為了金融數(shù)學所要研究的核心問題。近三十年來,已經(jīng)有很多成熟的定價理論。在本文中,作者通過復制的思想,用標的資產(chǎn)與無風險資產(chǎn)來復制目標衍生品,并推導出自融資條件。通過自融資資產(chǎn)組合來確定衍生產(chǎn)品的價格。在本文中,作者對于標的資產(chǎn)的價格過程分別作了布朗運動,泊松過程,與跳過程這三種假定。通過分別研究這三種情況,得到了相應(yīng)結(jié)論。
[Abstract]:With the development of financial mathematics, derivative pricing has become the core problem of financial mathematics. In the past 30 years, there have been many mature pricing theories. The target derivatives are copied by the underlying assets and the riskless assets, and derived from the financing conditions. The price of the derivatives is determined by the combination of self-financing assets. In this paper, the price process of the underlying assets is respectively subjected to Brownian motion. Poisson process and jump process are three hypotheses. By studying these three cases, the corresponding conclusions are obtained.
【學位授予單位】:西南財經(jīng)大學
【學位級別】:碩士
【學位授予年份】:2013
【分類號】:F830.92;F224
【參考文獻】
相關(guān)期刊論文 前1條
1 寧麗娟,劉新平;股票價格服從跳-擴散過程的期權(quán)定價模型[J];陜西師范大學學報(自然科學版);2003年04期
,本文編號:1508301
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