When it pays for itself
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The answer depends on which of two activities you are asking about, and they are easy to conflate.
Two questions, not one
Is the collection worth what I put in? An asset question.
Does the dealing make money? A business question.
They have different answers and they are frequently in tension, because the best specimens are the ones a dealer should sell and a collector should keep.
The collector question
Total spent on material, equipment, storage and travel, against what the collection would realize.
Realize, not replace. A collection sold as a whole typically fetches well below the sum of its retail parts, because the buyer is taking on the sorting.
The gap between those two numbers is the real cost of the hobby, and it is smaller for a documented, focused collection than for an undocumented broad one. That is the strongest financial argument for the cataloguing this property keeps pushing.
The dealer question
Fixed: equipment, photography setup, storage environment, show table fees, insurance, business registration.
Variable: acquisition cost, boxes and housing, shipping, and processing time at a rate you would accept.
Contribution is sale price minus variable cost. Breakeven is fixed divided by contribution.
Show fees and travel are the item that surprises people: a weekend table with travel and accommodation is a real number that has to be covered before the first specimen earns anything.
What the number usually says
That volume at low prices does not work, because processing time per specimen is nearly constant regardless of value.
That the margin is in better material rather than more of it.
And that documentation is the cheapest value you can add, because it costs minutes and moves the price band.