English

Cash Accumulation Strategy based on Optimal Replication of Random Claims with Ordinary Integrals

Mathematical Finance 2017-11-07 v1

Abstract

This paper presents a numerical model to solve the problem of cash accumulation strategies for products with an unknown future price, like assets. Stock prices are modeled by a discretized Wiener Process, and by the means of ordinary integrals this Wiener Process will be exactly matched at a preset terminal time. Three applications of the model are presented: accumulating cash for a single asset, for set of different assets, and for a proportion of the excess achieved by a certain asset. Furthermore, an analysis of the efficiency of the model as function of different parameters is performed.

Keywords

Cite

@article{arxiv.1711.01756,
  title  = {Cash Accumulation Strategy based on Optimal Replication of Random Claims with Ordinary Integrals},
  author = {Renko Siebols},
  journal= {arXiv preprint arXiv:1711.01756},
  year   = {2017}
}