In: Finance
You are looking to take out a 300K USD mortgage for 30 years.
After shopping around, you have two offers on the table:
Bank 1: 2.93% interest rate, up front fees of 3,918 USD
Bank 2: 3.41% interest rate, up front fees of 2,944 USD
Notice the tradeoff between the rate and the fees: you can pay a
higher up front fee in exchange for a lower interest rate.
How long (at a minimum) must you anticipate staying in this house,
in order for the loan from Bank 1 to be better for you? (To make
this ballpark estimate, ignore time value of money for
simplicity.)
Hint: find the difference between the monthly payments for the two
mortgages. See how long it takes to 'make up' for the extra up
front fee on the lower-rate loan.
Please refer to below spreadsheet for calculation and answer. Cell reference also provided.
Cell reference -