Before revision:  We also find that , when wealth is required to satisfy the no-bankruptcy constraint, the boundedness assumption can be dropped provided that we impose a certain integrability condition , related to some strengthened form of no-arbitrage.
After revision:  We also find that , when wealth is required to satisfy the no-bankruptcy constraint, the boundedness assumption can be dropped provided that we impose suitable integrability conditions , related to some strengthened form of no-arbitrage.