The existence of the pricing kernel is shown to imply the existence of an ambient information process that generates market filtration. This information process consists of a signal component concerning the value of the random variable X that might be interpreted as the timing of future cash...

In the information-based pricing framework of Brody, Hughston & Macrina, the market filtration {F t } t≥0 {Ft}t≥0 is generated by an information process {ξ t } t≥0 {ξt}t≥0 defined in such a way that at some fixed time T an F T FT -measurable random variable X T XT is "revealed". A cash...