SSRN Author: Ralph VinceRalph Vince SSRN Content
https://www.ssrn.com/author=2013583
https://www.ssrn.com/rss/en-usSat, 09 Feb 2019 04:53:36 GMTeditor@ssrn.com (Editor)Sat, 09 Feb 2019 04:53:36 GMTwebmaster@ssrn.com (WebMaster)SSRN RSS Generator 1.0REVISION: Expectation and Optimal f : Expected Growth with and without Reinvestment for Discretely-Distributed Outcomes of Finite LengthPresented is the formulation for determining the exact, expected growth-optimal fraction of equity to risk for all conditions, rather than merely the asymptotic growth-optimal fraction. The formulation presented represents the surface in the leverage space manifold, wherein the loci at the peak of the surface are those fractions for maximizing expected growth. Other criteria can be solved for upon the surface in the leverage space manifold utilizing the equation specified here. Of equal importance, since solving for the expected growth-optimal fraction involves a set of inputs and the "expectation" of those inputs, we see that the notion of mathematical expectation, as ubiquitously employed in numerous disciplines is also an asymptotic proxy for what an individual participant "expects" shall occur over a finite sequence of propositions. Thus, we determine what this expectation is over a finite sequence, demonstrate that it approaches the classical expectation as the length of the ...
https://www.ssrn.com/abstract=2577782
https://www.ssrn.com/1761939.htmlFri, 08 Feb 2019 08:31:49 GMTREVISION: Expectation and Optimal f : Expected Growth with and without Reinvestment for Discretely-Distributed Outcomes of Finite LengthPresented is the formulation for determining the exact, expected growth-optimal fraction of equity to risk for all conditions, rather than merely the asymptotic growth-optimal fraction. The formulation presented represents the surface in the leverage space manifold, wherein the loci at the peak of the surface are those fractions for maximizing expected growth. Other criteria can be solved for upon the surface in the leverage space manifold utilizing the equation specified here. Of equal importance, since solving for the expected growth-optimal fraction involves a set of inputs and the "expectation" of those inputs, we see that the notion of mathematical expectation, as ubiquitously employed in numerous disciplines is also an asymptotic proxy for what an individual participant "expects" shall occur over a finite sequence of propositions. Thus, we determine what this expectation is over a finite sequence, demonstrate that it approaches the classical expectation as the length of the ...
https://www.ssrn.com/abstract=2577782
https://www.ssrn.com/1761223.htmlTue, 05 Feb 2019 19:34:49 GMTREVISION: Expectation and Optimal f : Expected Growth with and without Reinvestment for Discretely-Distributed Outcomes of Finite LengthPresented is the formulation for determining the exact, expected growth-optimal fraction of equity to risk for all conditions, rather than merely the asymptotic growth-optimal fraction. The formulation presented represents the surface in the leverage space manifold, wherein the loci at the peak of the surface are those fractions for maximizing expected growth. Other criteria can be solved for upon the surface in the leverage space manifold utilizing the equation specified here. Of equal importance, since solving for the expected growth-optimal fraction involves a set of inputs and the "expectation" of those inputs, we see that the notion of mathematical expectation, as ubiquitously employed in numerous disciplines is also an asymptotic proxy for what an individual participant "expects" shall occur over a finite sequence of propositions. Thus, we determine what this expectation is over a finite sequence, demonstrate that it approaches the classical expectation as the length of the ...
https://www.ssrn.com/abstract=2577782
https://www.ssrn.com/1710795.htmlMon, 30 Jul 2018 14:16:06 GMT