The stock market does not have a life of its own. In a relatively free economy, success or failure of investment in stocks depends ultimately on the same factors that determine success or failure of any business.
Since the trade balance has nothing to do as such with either the supply of money or the demand for money, we can conclude that trade balances do not determine the purchasing power of money of respective countries.
Eventually, loose monetary policy will damage real savings to the point that the economy can no longer sustain sufficient economic growth. At that point, it will become clear that money printing can't create economic growth.