Computer Science – Computational Engineering – Finance – and Science
Scientific paper
2000-11-13
Computer Science
Computational Engineering, Finance, and Science
An abstract appeared in the Proceedings of the 10th Annual ACM-SIAM Symposium on Discrete Algorithms, 1999
Scientific paper
In this paper, we study the problem of designing proxies (or portfolios) for various stock market indices based on historical data. We use four different methods for computing market indices, all of which are formulas used in actual stock market analysis. For each index, we consider three criteria for designing the proxy: the proxy must either track the market index, outperform the market index, or perform within a margin of error of the index while maintaining a low volatility. In eleven of the twelve cases (all combinations of four indices with three criteria except the problem of sacrificing return for less volatility using the price-relative index) we show that the problem is NP-hard, and hence most likely intractable.
Kao Ming-Yang
Tate Stephen R.
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