Last night at the drive-in I had a great idea, which I then proposed to Bernard: in exchange for an abundance of postcards from my upcoming trip, he would pay me for each unique stamp I use to send them.
To be specific, the first stamp costs him $0.10, the next $0.20, and each subsequent costs $0.10 more. So if the first card has four unique stamps on it, he’d owe me $1 ($0.10 + $0.20 + $0.30 + $0.40). To trick him into agreeing sweeten the deal, I agreed he’d pay me nothing unless the total exceeded $10.
I laughed like a goon when he signed the contract!

The above is a plot of what he’ll owe me versus unique stamps. It would take fourteen unique stamps for the total to exceed $10 ($10.50 to be precise) and as you can see it rises quadratically. The equation, if you’re interested, is $n(n+1)/20 where n is the number of unique stamps.
Looking at this plot, the amount he’d owe me would surpass $100 at 45 unique stamps. For amateurs this would be a challenge, but he made the critical mistake of forgetting I’m far from an amateur. In fact, due to leftovers from previous trips, I already have enough unique stamps to surpass this amount.
But stopping at 45 is barely a challenge. How far could I push this?

Checking out the Australia Post website reveals several dozen current stamp issues. It’s hard to put a precise number on how many since the website is irritating to use, but I’d say it’s upwards of 40 unique stamps. Just from these alone (and including the ones I already have) I’m well over the $100 return.

But Australia Post also sells collectible ‘Stamp Packs’, one or two of which I usually buy on each trip. From the ones in-stock today there’s 123 unique stamps and I know from experience it’s not difficult to find older packs available in post offices.
So it’s not unreasonable to assume I could relatively easily find 150 unique stamps in Australia alone. Before you ask “What about the postcards?” remember who is writing this. The deal doesn’t specify anything about how the cards bear the stamps, so I’d just buy big cards and put 10+ stamps on each.
If you’re wondering about the cost of all these stamps, then yes it adds up. But a quick analysis of average prices vs returns shows I’d be making money after about the 15th stamp, and likely much earlier if I buy many small denomination ones.
And this is just Australia. Things get truly interesting because I’m also going to Japan…

Japan has a few dozen basic stamps available, all of which I bought on my last trip. Obtaining these is trivial, so getting up to over 175 stamps wouldn’t be much of a challenge (for me).

And they also have these limited sheets, and I know exactly where I could go (Tokyo Main Post Office) to purchase dozens of different ones. I don’t think it’s unreasonable for me to obtain at least another 100 unique stamps amongst these alone.
And then there’s the licensed limited sheets, and the stamp shop near my Osaka hotel that sells hundreds of old mint unused stamps. The sky is the limit. I could get to 500 unique stamps ‘easily’…

The above is a plot of returns vs unique stamps up to 500, at which point Bernard would owe me $12,525.00. While I believe I could exceed this amount, in the interests of good sportsmanship I’d probably end there.
Of all the crazy schemes good ideas I’ve hatched had, this may be the best. I get to buy lots of stamps, send lots of postcards, and I’ll make five figures (easily) out of it. What could go wrong?








