The only problem with investing in stamps (other than the fact you will have to sell them), is that USPS has regulations where they cannot increase the rate of postage beyond the the price of inflation. This alone suggests its a dead investment.
Just buying ahead of the recent price hike of 3 cents = approximately 6%. . I bought enough for at least a year of my own use. There is no where else you can get a risk free return of 6% today. Another responder bought up the concern about who to sell them to. Any expenses in doing so cut into the profit. Large postal users don't typically buy individual stamps. But buying ahead for your own use definitely makes good sense.
Good idea, but who would you sell them too?
Since forever stamps go up in value more than bank account interest rates...why not?