If your compression ratio is lower than 10.5/1, and is not turbo- nor super-charged, you probably will run fine on 87 Octane, unless you have an overheating problem (either locally in the combustion chamber, or systemically in the cooling system).
As another poster said: higher "Research Octane" (to be more accurate, as the term "octane" is technically referring to the relative concentration of a particular group of molecules) doesn't necessarily equate to "better performance". It depends on the design of the vehicle, as well as the flexibility of the ECU.
For most passenger cars, Premium is a waste of money.