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NONPARAMETRIC KERNEL‐BASED SEQUENTIAL INVESTMENT STRATEGIES
Author(s) -
Györfi László,
Lugosi Gábor,
Udina Frederic
Publication year - 2006
Publication title -
mathematical finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.98
H-Index - 81
eISSN - 1467-9965
pISSN - 0960-1627
DOI - 10.1111/j.1467-9965.2006.00274.x
Subject(s) - nonparametric statistics , econometrics , ergodic theory , economics , investment (military) , currency , investment strategy , stochastic discount factor , kernel (algebra) , exchange rate , mathematics , microeconomics , finance , monetary economics , capital asset pricing model , profit (economics) , mathematical analysis , combinatorics , politics , political science , law
The purpose of this paper is to introduce sequential investment strategies that guarantee an optimal rate of growth of the capital, under minimal assumptions on the behavior of the market. The new strategies are analyzed both theoretically and empirically. The theoretical results show that the asymptotic rate of growth matches the optimal one that one could achieve with a full knowledge of the statistical properties of the underlying process generating the market, under the only assumption that the market is stationary and ergodic. The empirical results show that the performance of the proposed investment strategies measured on past nyse and currency exchange data is solid, and sometimes even spectacular.