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Possible? Mean-Variance Portfolio, Differential Calculus?

Hello there

As a project for college we would like to calculate the Mean-Variance Porfolio out of 10 - 20 shares (underlying data:daily,800 days). This means there is differential calculus involved for generating the Optimum graph.

Maths: Can Sage do the above? How long does it take compared to other software/languages?

Environment: We want the calculation Interface to be published at a website. Is it just like taking a linux server, install sage and than request with our UI language (php,..js) to sage and scrap the result?

Good i found you, already love you ;)