According to Citi's analyst Tom Fitzpatrick in his interview at King World News:
"As can be seen from the chart, Gold has never stayed below that “stairway to hell” for very long. Given that the debt limit number is going to continue higher, a re-emergence of Gold strength looks inevitable.
A lot of 'considered opinion' suggests that by the end of the present electoral term (the end of 2016 when new presidential elections take place), that the US debt limit will be at around $22 trillion USD."
Tom has a number of interesting charts which you can see at his KWN interview here.