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This appendix proves CORN's universal consistency. One of Bin's PhD thesisexaminer (Special thanks to Vladimir Vovk from Royal Holloway, University ofLondon) suggested that CORN is universal and provided sketch proof of Lemma1.6, which is the key of this proof. Based on the proof in Gy\"prfi et al.[2006], we thus prove CORN's universal consistency. Note that the notations inthis appendix follows Gy\"orfi et al. [2006].

CORN: Correlation-Driven Nonparametric Learning Approach for Portfolio Selection -- an Online Appendix