Projecting Survival Curve into the Future

I have a survivor curve that shows account cancellations during the 
past 3.5 months. ? Fortunately for our business, but unfortunately 
for my analysis, the survivor curve doesn't yet pass through 50%. 
? Is there a safe way to extend the survivor curve and estimate at 
what time we'll hit 50%? 

Without any example code it's hard to say, but take a look at 
?predict.coxph and ?predict.survreg in the survival package.

Regards,
Richie.

Mathematical Sciences Unit
HSL

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