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Diversified Portfolios in a Benchmark Framework

Eckhard Platen ()

No 87, Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney

Abstract: This paper considers diversified portfolios in a benchmark framework. A new limit theorem for the approximation of the benchmark, which is the growth optimal portfolio, is obtained. In a diverse market it is shown that there exist approximations for the benchmark that are independent of model specifications. This leads to a robust modeling, calibration and risk management framework. For diversified portfolios with a large number of securities the limit theorem provides significant reductions in the complexity of quantitative applications as statistical inference and Value at Risk calculations.

Keywords: benchmark model; growth optimal portfolio; diversified portfolio; diverse market; tracking rate; value at risk (search for similar items in EconPapers)
JEL-codes: G10 G13 (search for similar items in EconPapers)
Date: 2003-01-01
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:uts:rpaper:87

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