Optimal Stopping Time for Holding an Asset

Pham Van Khanh

doi:10.4236/ajor.2012.24062

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Optimal Stopping Time for Holding an Asset

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DOI: 10.4236/ajor.2012.24062 4,590 Downloads 7,573 Views Citations

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Pham Van Khanh

Affiliation(s)

Military Technical Academy, Hanoi, Vietnam.

ABSTRACT

In this paper, we consider the problem to determine the optimal time to sell an asset that its price conforms to the Black-Schole model but its drift is a discrete random variable taking one of two given values and this probability distribution behavior changes chronologically. The result of finding the optimal strategy to sell the asset is the first time asset price falling into deterministic time-dependent boundary. Moreover, the boundary is represented by an increasing and continuous monotone function satisfying a nonlinear integral equation. We also conduct to find the empirical optimization boundary and simulate the asset price process.

KEYWORDS

Optimal Stopping Time; Boundary; Brownian Motion; Black-Schole Model

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

P. Khanh, "Optimal Stopping Time for Holding an Asset," American Journal of Operations Research, Vol. 2 No. 4, 2012, pp. 527-535. doi: 10.4236/ajor.2012.24062.

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