You don't want to throw out all that equity you have with your current audience.
I think a relative pronoun which or that is understood to be between "equity" and "you" , but was omitted to make it concise, but I'm not sure if I am correct.
So the sentence originally is :
You don't want to throw out all that equity which/that you have with your current audience.
The relative pronoun "which/that" will be the object of the verb have,
and the relative pronoun "which/that" is equivalent to equity.
and the PP phrase with your currect audience can possibly be attached to the main clause or the relative clause, but in this case , it should be attached to the relative clause, as it makes more sense.
Are my knowledge above correct?