Please do not use excel formulas. Thanks!

When John purchased his home, he borrowed $200,000 from his bank at 6% interest rate per year to be repaid in 360 equal annual end-of-month payments in 30 years. After making 120 payments, Patrick found he could refinance the balance due on his loan at 4.8% interest/year for the remaining 20 years. To refinance the loan, Patrick must pay the original lender the balance due on the loan. To the new lender he also must pay a $2,000 service charge to obtain the loan. The new loan would be made equal to the balance due on the old loan plus the $2,000 service charge by the new lender. Should John refinance the loan, assuming that he will keep the house for at least another 10 years? Use an annual cash flow analysis for solving this