Title
Optimal time to invest when the price processes are geometric Brownian motions
Abstract
.   Let , , be geometric Brownian motions, possibly correlated. We study the optimal stopping problem: Find a stopping time such that the being taken all over all finite stopping times , and denotes the expectation when . For this problem was solved by McDonald and Siegel, but they did not state the precise conditions for their result. We give a new proof of their solution for using variational inequalities and we solve the -dimensional case when the parameters satisfy certain (additional) conditions.
Year
DOI
Venue
1998
10.1007/s007800050042
Finance and Stochastics
Keywords
Field
DocType
optimal stopping time,key words: geometric brownian motion,stopping set,continuation region,optimal stopping problem,satisfiability,geometric brownian motion,stopping time,variational inequality
Mathematical optimization,Optional stopping theorem,Optimal stopping,Stopping set,Optimal stopping time,Brownian motion,Stopping time,Geometric Brownian motion,Mathematics
Journal
Volume
Issue
Citations 
2
3
7
PageRank 
References 
Authors
1.84
0
2
Name
Order
Citations
PageRank
Yaozhong Hu1278.83
Bernt Oksendal28915.84