  We consider a simplified version of the problem of insider trading in a
financial market. We approach it by means of anticipating stochastic calculus
and compare the use of the Hitsuda-Skorokhod, the Ayed-Kuo, and the
Russo-Vallois forward integrals within this context. Our results give some
indication that, while the forward integral yields results with a suitable
financial meaning, the Hitsuda-Skorokhod and the Ayed-Kuo integrals do not
provide an appropriate formulation of this problem. Further results regarding
the use of the Ayed-Kuo integral in this context are also provided, including
the proof of the fact that the expectation of a Russo-Vallois solution is
strictly greater than that of an Ayed-Kuo solution. Finally, we conjecture the
explicit solution of an Ayed-Kuo stochastic differential equation that
possesses discontinuous sample paths with finite probability.
