I'm not a historian, so there are probably gaping holes in this, but surely the answer is you trade at each stop, exchanging what you have for something you know (or hope) will have value at your next stop. As a caveat on all this, one of the scenarios to consider is that some trade will result in a loss.
The first practical/historical example that springs to mind is the Europe/Africa/America trade sequence - get your slaves and sell them, picking up things like cotton/sugar/tobacco and head back to Europe where you can sell those and buy things which can then be traded for more slaves. You have no real common currency here, other than precious metals and the like, but really I think the point is at each point you exchange one cargo for another.
Really, if you give people a means of transport and the chance to make a profit, somebody, somewhere will figure out how to take advantage.
Right. But the problem I'm having trouble with is figuring out where the profit actually is.
Yes, I know that the traditional model is to take goods from point A and trade them for point B's goods, which you then pass on to point C or back to point A. But it's been bugging me for a long time, trying to figure out what's in it for the traders in an interstellar model. There is no common currency among planets, that's self-evident (unless you're working off a Federation of Planets model with a common currency, and that one is not what I'm concerned with -- obviously, that works). The problem is, Planet B's money won't do you any good when you've sold Planet A's goods for it. You can buy stuff on Planet B while you're there, but it won't help to take the currency to Planet C, or back to Planet A. All you can do is trade stuff for stuff in a line or circle, and collect trade goods for yourself. Now, I suppose you can pick up artwork to sell for a profit on your home planet -- that might work. Otherwise you just take your pay in food and clothing and fuel to keep you going in circles. It just seems to me that there's no real building of a nest egg in interstellar trading -- you just keep doing it to keep doing it. Which is ok if you just want to run around the stars -- I wouldn't mind it. But it's not the get-rich scheme that it's generally portrayed as, in books. And it's not the entrepreneurial merchant thing, though it could be the family occupation some show it as -- if all you want to do is travel the stars, it works fine, providing you have some sense of what to trade where, and good luck on your timing.
Do you see where my problem is? Does it make sense? What I'm saying is that you take a shipload of widgets from A, and you trade them for gizmos on B. Now if you have more widgets than it takes to buy a shipload of gizmos, where's your profit? Your profit isn't the extra widgets, because you're out of room; your profit has to be either B's currency, or other stuff from B. You have no room for other stuff from B, except fuel and whatever food/clothing/trinkets you can fit into your living quarters comfortably. It wouldn't do to keep collecting trinkets, because you'd run out of living space. Currency doesn't do you any good on another planet. So even if you technically "make a profit", that is, have more widgets than you need to buy as many gizmos as you can fit, there's nothing in it for you.
Now, if you move this to an information/entertainment model, you take your ship from Planet A with as much information or entertainment as you can get (in most cases, it's not a matter of filling up the ship), and you go to Planet B. You trade it for whatever of the same sort Planet B has, as much as the traffic will bear. Or you sell it to Planet B. For what? Currency doesn't do you any good at Planet C. All you can really do is trade A's info for B's info for C's info, ad infinitum. And take your fee in food, clothing and fuel. Now, if you make your home on Planet A, you can indeed come home and sell this stuff to them for currency that you can put in your bank account. You could do the same with the goods model, but this really seems to go against the notion of the merchant spacer. You don't think of him as being a guy who comes home on weekends. And the only way I can see to make a profit is to have a home currency that you can eventually sell stuff for, in this chain, and a way of using it for something other than continuing the pattern.