  We construct a procedure for Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ)
renormalization of a rough path in view of the relation between rough path
theory and regularity structure. We also provide a plain expression of the
BPHZ-renormalized model in a rough path. BPHZ renormalization plays a central
role in the theory of singular stochastic partial differential equations and
assures the convergence of the model in the regularity structure. Here we
demonstrate that the renormalization is also effective in a rough path setting
by considering its application to rough path theory and mathematical finance.
