Your car is this really expensive thing that sits idol over 95% of its lifetime.
Once driverless cars gain traction (not just the tech, but the societal acceptance), I think the model we're familiar with goes the way of the dodo. I can pay $400 to lease a nice car, $150 on gas, $100 on insurance each month, whatever I must pay for parking, repairs, etc, or I can pay $100 a month and have a nice car that drives itself readily available at my beck and call. It is a financial no brainer.
I think the tech will be ready in less than 5 years (ready = better/safer than human drivers... which it may ALREADY be at today imo) but society will take a few beats to adopt. By 2030 I think we'll be on the new model. Owning a car will be an unnecessary luxury that most people don't bother with.