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Multiplicative Approximation of Wealth Processes Involving No-Short-Sale Strategies

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Author Info
Constantinos Kardaras
Eckhard Platen () (School of Finance and Economics, University of Technology, Sydney)

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Abstract

A financial market model with general semimartingale asset-price processes and where agents can only trade using no-short-sale strategies is considered. We show that wealth processes using continuous trading can be approximated very closely by wealth processes using simple combinations of buy-and-hold trading. This approximation is based on controlling the proportions of wealth invested in the assets. As an application, the utility maximization problem is considered and it is shown that optimal utilities and wealth processes resulting from continuous trading can be approximated arbitrarily well by the use of simple combinations of buy-and-hold strategies.

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File URL: http://www.business.uts.edu.au/qfrc/research/research_papers/rp240.pdf
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Publisher Info
Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 240.

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Length: 11
Date of creation: 01 Dec 2008
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Handle: RePEc:uts:rpaper:240

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Related research
Keywords: Semimartingales; buy-and-hold strategies; stochastic integral; Unbounded Profit with Bounded Risk; utility maximization;

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