SOLVING A TWO VARIABLES FREE BOUNDARY PROBLEM ARISING IN A PERPETUAL AMERICAN EXCHANGE OPTION PRICING MODEL

SOLVING A TWO VARIABLES FREE BOUNDARY PROBLEM ARISING IN A PERPETUAL AMERICAN EXCHANGE OPTION PRICING MODEL
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解决永久美式期权定价模型中出现的二变量自由边界问题

DOI:
10.11650/tjm.13.2009.444
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发表时间:
2009
影响因子:
0.4
通讯作者:
Hsuan
Hsuan
中科院分区:
数学4区
文献类型:
--
作者:
Ming;Hsuan

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研究了美式交换期权(AEO)的定价问题.在完美市场假设下,AEO定价问题可以建模为一个自由边界问题(FBP)。通过使用绿色函数将FBP转换成积分方程。当到期日趋于无穷大时,我们得到一个时不变的常数的行使边界。此外,我们提供了一个定价公式,以评估提前行使溢价的永久AEO。
We investigate an American exchange option (AEO) pricing problem. Under the perfect market assumption, an AEO pricing problem can be modeled as a free boundary problem (FBP). The FBP is converted into an integral equation by using the Green’s function. When the expiration date tends to infinity, we obtain a time-invariant constant of the exercise boundary. Moreover, we provide a pricing formula for valuating the early exercise premium of the perpetual AEO.
DOI: 10.1093/rfs/14.1.113
发表时间: 2001-03-01
影响因子: 8.2
作者:
Longstaff, FA;Schwartz, ES
通讯作者: Schwartz, ES