Probably over 710 and they seem to want more than just a very good score. Absolutely no BKs, maybe a derog if it's very old, and a solid CC history of at least 2 years on your CRs. Of all the CCCs, I think they are the most difficult to get an approval with. It's no wonder we see so little Discovercard threads and posts at this forum cuz most of us are repairing our credit and would get an instant denial.
I just got approved last week with an EX pull where my FICO was 701 and I have a very very bad derog on the CR. The derog was an auto loan with 19 30 day lates and 6 60 days late and 2 90 days late, it was closed 9 months ago after being paid off. Not a single late on any CCs on my CR.
The card is the Discover Open Roads and they gave me a 5K CL. As I have seen people with much better CRs get denied I've decided that Discover is absolutely a flip of the coin - Heads your in, Tails... Well better luck next time.
Good to have? There are other easier to get cards that are more widely accepted and you may be able to get better terms. I'm still scratching my head on the approval - It turns out that this is my 2nd best APR.
Second best? It is, by far, my worst. My score is high and my discover is still at 19% ... every other card I have is at 10% or less. Discover has, since I got it in 1994, been ranked high in interest rates -- they have GREAT short term or lead in rates which then jack up.
Equifax FICO: 780 (1/8/08)
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Juniper slash my cl in half from $2.2 to $$1.1K just because I became a joint on my father's card that had an $8K balance. Had never been late with them. Called them up, closed the account and sent them payment in full. HSBC once sent me a preapprove offer. I applied on the phone and they approved me for a colosal cl of (drumroll please)...$300. I told the csr that I get pd that I make more than that in a day. I cancelled my acct right with the same csr.