Two natural and potentially desirable properties for capital allocation rules are top-downconsistency and shrinking independence. Top-down consistency means that the total capital isdetermined by the aggregate portfolio risk. Shrinking independence means that the risk capitalallocated to a given...

We consider an incomplete markets international economy in discrete-time. The first result is an impossibility theorem showing that if cross-currency no-arbitrage is to hold, the exchange rate cannot be a stationary process in levels. The second result is a system of stochastic discount factor...