Chapter 23, Problem 21E

Can you solve this financial accounting problem with appropriate steps and explanations?

Rajiv and Laurie Amin are recent college graduates looking to purchase a new home. They are purchasing a $200,000 home by paying $20,000 down and borrowing the other $180,000 with a 30-year loan secured by the home. The Amins have the option of (1) paying no discount points on the loan and paying interest at 3 percent or (2) paying 1 discount point on the loan and paying interest of 2.5 percent. Both loans require the Amins to make interest-only payments for the first five years. Unless otherwise stated, the Amins itemize deductions irrespective of the amount of interest expense. The Amins are in the 24 percent marginal ordinary income tax bracket. Assume the original facts, except that the amount of the loan is $300,000. What is the break-even point for the Amins for paying the point to get a lower interest rate?

Can you demonstrate the accurate method for solving this financial accounting question?