According to a check Julius receives shortly before he buys an interest in the cleaning business, the year is 1936. However, the calendar in the office when he makes the deal does not match any month in 1936.
On the card handed out by the dry cleaners, the synthetic wool is called "Spoolex", but on the order forms (and elsewhere) it is called "Woolex".
A calendar on dining room wall while Julius is eating breakfast states that it is a Wednesday, but that date in 1936 was a Friday.