Since the Affordable Care Act, it seems to be cheaper to forego COBRA benefit and enroll in one of the offered options. Lost of job let you do so outside of the official enrolment period.
It is certainly not cheaper to forgo free COBRA and buy insurance on the exchange.
If you are paying for COBRA you are doing it wrong. You take those 60 days to find private insurance. You basically get 2 free months of health insurance since you cancel on that 60 day mark and never pay. If on day 58 you need health insurance you pay COBRA. Otherwise - your new private insurance kicks in on day 60.
[Yes! You could have history of heart attacks and not find cheaper private insurance but I am hoping that isn't you!]
Major medical health insurance in the United States for the individual and small business markets has had community rating since 2008. That means health insurers are not able to take health history into account when setting rates. They can only set rates based on age and tobacco usage.