Tom got a 30 year fully amortizing FRM for $1,500,000 at 6%, with constant monthly payments. After 3 years of payments, rates fall and he can get a 27 year FRM at 5%, but he must pay 2 points and $1000 in closing costs to get the new loan. Think of the refinancing decision as an investment for Tom, he pays a fee now but saves money in the future in the form of lower payments. What is the annualized IRR of refinancing for Tom assuming he prepays the new loan 5 years after refinancing?

(Clarification: Tom will prepay the new loan 3+5=8 years after the house is purchased)

Please solve without using excel. Thank you!