2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210166We introduce a theory of stochastic integration with respect to a family of semimartingales depending on a continuous parameter, as a mathematical background to the theory of bond markets. We apply our results to the problem of super-replication and utility maximization from terminal wealth in a bond market. Finally, we compare our approach to those already existing in literature.Published at http://dx.doi.org/10.1214/105051605000000548 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)ProbabilityComputational Finance60H05, 60G44 (Primary) 91B70 (Secondary)text