I believe that the value you are suggesting for Bitcoins is currently "out of reach" and will only be possible in a P&D scene
$4,000/BTC means a market cap of <70 billion USD. It's peanuts. It's basically a failure scenario. It means bitcoin was unable to surpass Australia and unable to become a medium of international exchange despite the extremely low quality of the competition (banks/paypal/western union/etc.) and unable to become a store of value despite having superior qualities to gold and other stores of value.
I'm not sure what kind of future you think bitcoin has, but in my model, I am giving bitcoin a 5-10% chance of becoming a Top 10 currency with a base money supply worth trillions of USD and more than 200 million users taken mostly from the wealthiest 10% of the world's population. This is going to mean that one bitcoin will be worth $X00,000 each. And you can guess what the strongest altcoins like XMR will be worth in that scenario.