New York City's home vacancy rate is just 1.4%, its lowest in over 50 years.DeAgostini/Getty ImagesRents in New York City rose more than seven times as fast as wages last year.A new report says tech workers earning $135,089 annually could only afford 35% of rentals in the city.As tech workers flood into the city, housing supply and high costs strain affordability for all.Housing costs in New York have long been unaffordable.