While I'd agree with you that it is inherent (I'm not so sure about the exponential function hypothesis, though), I'm not sure that you've really made a case for it, Kleid.
While reactions can certainly be influenced by learning, I think that the basic reactions are inherent. As I mentioned earlier, we can probably find analogs to the various emotions we'd consider in other societies with whom we've had minimal contact. Additionally, it would be hard to account for the uniformity of emotional reactions* within a society, especially in children. Certainly some are exposed to many stories and tales early on, but many are not, yet they still seem to exhibit emotions to which they have not formally been introduced.
*The uniformity is, of course, not perfect, and there is obviously a rather large difference in the "implementation details".