Before revision:  Making use of Malliavin calculus, we recast the traditional Euler contributions from an expectation conditional to an event of zero probability to a ratio of conditional expectations , where both the numerator and the denominator's conditioning events have  positive probability.
After revision:  We recast the traditional Euler contributions from an expectation conditional to an event of zero probability to a ratio of conditional expectations , where both the numerator and the denominator's conditioning events have positive probability.