Some securities can have positive/negative values for the holder. I don't know many asset classes in this category. (If indeed there are only a few, then they must be important). What I know -- Fwd/futures contracts. These contracts are fundamental to almost all derivatives.
Most traditional securities (assets?) have a purely positive value – stocks including ETF, (junk) bonds, options, commodities, real estate, MBS...
How about swaps? I think like the fwd contract, the execution price is chosen to give both holders $0 value on trade date. After trade date, either holder can have a "position" with a positive or negative value.
How about structured products? I guess often falling into this category. Usually between 2 holders – a dealer and an institution.
