vi-va
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You forgot two important factor - saving rate and natural resource.In an ideal efficient free market without any government intervention, all countries should have a balanced current account.
If you have a surplus, it means that the demand for your currency outstrips the supply, and therefore your currency should appreciate until your current account is balanced.
Vice versa, if you have a deficit your currency should depreciate until you reach a balanced current account.
However in the real world, the market isn't free nor efficient. Economies like Singapore or Taiwan wants to accumulate foreign reserves to have a buffer against external shocks, so they put their money in USD which is the world's reserve currency. This creates artificial demand for the USD and artificial supply of their home currency. The market isn't efficient because it can take years for market forces to reflect the current account situation.
Right now China's current account is almost close to zero as a percentage of GDP, so it's fair to say that the RMB is fairly valued. OTOH, the US runs current account deficit with almost every country because of the artificial demand of the USD which pushes up its price.
East Asia countries has higher saving rate, U.S. before 2008 has less than 10% saving. Some natural source rich countries, like KSA, Russia has surplus. There is no way they would like to balance their current account, they will reinvest their surplus in the international market and accumulate more and more reserve.