Generating a vector from successive multiplications of another vector from an initial value

[Paulo da Silva]

Hi all.

What is the fastest way to do the following:

I have an initial value V and a vector vec of (financial) indexes.
I want to generate a new vector nvec as

V, V*vec[0], V*vec[0]*vec[1], V*vec[0]*vec[1]*vec[2], ...

A numpy vectorized solution would be better.

Thanks