Research ArticleOpen accessIn the keywordsFinding the Envelope and Efficient Frontier of Financial AssetsFarida Kachapova, Ilias KachapovProblem statement: One of the problems considered in financial mathematics is finding portfolios of given financial assets that minimize risk for targeted returns. The set of such portfolios is called the envelope of the assets. Traditionally this problem is solved as a calculus minimization problem involving partial derivatives and Lagrange multipliers. Approach: In this study we describe an invariant geometric … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 16 Jul 2012 · 9,279 accessesView PDFCite