200k annual income is enough to service the mortgage on a luxury apartment on Manhattan proper without straining the budget too much. This is about owning, not renting.
If you meant 'detached house' by home that's another thing entirely.
Though getting the money for a down payment is a bigger problem. It takes a while to save up the $250K down + closing costs (let's not forget that 1% mansion tax) on a $1.2M one bedroom apartment.
If you meant 'detached house' by home that's another thing entirely.