  In this paper we shall prove that the plane of financial events, introduced
and applied to financial problems by the author himself (see [2], [3] and [4])
can be considered as a fibration in two different ways. The first one, the
natural one, reveals itself to be isomorphic to the tangent- bundle of the real
line, when the last one is considered as a differentiable manifold in the
natural way; the second one is a fibration induced by the status of compound
interest capitalization at a given rate i in the interval ] - 1, \rightarrow [.
Moreover, in the paper we define on the first fibration an affine connection,
also in this case induced by the status of compound interest at a given rate i.
The final goal of this paper is the awareness that all the effects determined
by the status of compound interest are nothing but the consequences of the fact
that the space of financial events is a fibration endowed with a particular
affine connection, so they are consequences of purely geometric properties, at
last, depending upon the curvature determined by the connection upon the
fibration. A natural preorder upon the set of fibers of the second fibration is
considered. Some remarks about the applicability to economics and finance of
the theories presented in the paper and about the possible developments are
made in the directions followed in papers [1], [5], [6], [7], [8] of the
author.
