You've asked this in 3 different variations so I'm unsure what you are actually trying to accomplish. If your mortgages total 380K with a value of 420K, you can refinance to an FHA mortgage. If your BK was discharged 2 years ago you may be eligible to do so assuming you meet the other criteria. An FHA refinance can be done in 30 days or less depending on other factors. You should find a loan officer in your area and discuss all the details of your transaction with them.