Open Access
February 2019 The equivalence of dynamic and static asset allocations under the uncertainty caused by Poisson processes
Yong-Chao Zhang, Na Zhang
Braz. J. Probab. Stat. 33(1): 184-191 (February 2019). DOI: 10.1214/17-BJPS383

Abstract

We investigate the equivalence of dynamic and static asset allocations in the case where the price process of a risky asset is driven by a Poisson process. Under some mild conditions, we obtain a necessary and sufficient condition for the equivalence of dynamic and static asset allocations. In addition, we provide a simple sufficient condition for the equivalence.

Citation

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Yong-Chao Zhang. Na Zhang. "The equivalence of dynamic and static asset allocations under the uncertainty caused by Poisson processes." Braz. J. Probab. Stat. 33 (1) 184 - 191, February 2019. https://doi.org/10.1214/17-BJPS383

Information

Received: 1 September 2015; Accepted: 1 October 2017; Published: February 2019
First available in Project Euclid: 14 January 2019

zbMATH: 07031068
MathSciNet: MR3898726
Digital Object Identifier: 10.1214/17-BJPS383

Keywords: Dynamic asset allocation , equivalence , Poisson process , static asset allocation

Rights: Copyright © 2019 Brazilian Statistical Association

Vol.33 • No. 1 • February 2019
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