Consider a FA 30yr LPM 3/1 ARM with no interest rate caps and no payment caps. The loan is for $200,000, with two points and other Regulation-Z fees of $3,000. The fixed period rate is 4% and the margin 2.5%. The underlying index at dates 0,1,2,3,4,5,6 years is 2%, 2.5%, 3%, 3.5%, 4%, 4%, 5%, respectively, and then stays at 5.5% until mortgage maturity.

What is the APR?