2012
DOI: 10.1142/9781848168145_0001
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On the History of the Growth-Optimal Portfolio

Abstract: The growth optimal portfolio (GOP) is a portfolio which has a maximal expected growth rate over any time horizon. As a consequence, this portfolio is sure to outperform any other significantly different strategy as the time horizon increases. This property in particular has fascinated many researchers in finance and mathematics created a huge and exciting literature on growth optimal investment. This paper attempts to provide a comprehensive survey of the literature and applications of the GOP. In particular, … Show more

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Cited by 24 publications
(18 citation statements)
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References 193 publications
(244 reference statements)
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“…Those are the Susan edge detector [Smith, 1992] (with an implementation version of Oxford University), KLT feature tracker [Shi and Tomasi, 1994], Fluid simulation [Stam, 2003], the Blowfish application (a symmetric block cipher) from the CHStone benchmark [Hara et al, 2009], AES [SSL, 2012] and Bloom Filter [Christensen, 2012]. 5.…”
Section: Resultsmentioning
confidence: 99%
“…Those are the Susan edge detector [Smith, 1992] (with an implementation version of Oxford University), KLT feature tracker [Shi and Tomasi, 1994], Fluid simulation [Stam, 2003], the Blowfish application (a symmetric block cipher) from the CHStone benchmark [Hara et al, 2009], AES [SSL, 2012] and Bloom Filter [Christensen, 2012]. 5.…”
Section: Resultsmentioning
confidence: 99%
“…As early as 1956, the information theorist John Kelly suggested to optimize long term growth by endogenously adjusting the distribution of types in a population to an exogenously given environmental pattern [33] (for a clear review see [14]). This idea has grown several branches [34], and is known as portfolio theory [35][36][37][38][39][40], growth optimal investment [41][42][43], biological bet-hedging [44], mixed optimal strategies [45], or stochastic (phenotype) switching [46,47]. While Kelly originally worked with the limited case of a diagonal payoff matrix (one type per environmental [47][48][49][50].…”
Section: Portfolio Theory: Optimizing Growthmentioning
confidence: 99%
“…Indeed, a more risk-seeking attitude than the growth rate maximization (1.1) may not be acceptable for investors, if we recall debates and discussions on risky features of the growth rate optimal portfolio for (1.1). (We can refer to Christensen (2005) and the references therein, for example. )…”
Section: Application Of Cppimentioning
confidence: 99%