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 stays until maturity?

Please solve in detail without using excel, thank you!