Solve and provide steps:

9. You are going to buy a house for $400,000. You have enough cash that you can use either an 80% or a 90% LTV mortgage. You talk to your lender and are given the following options: a. You can get an 80% loan at 3.5% for 30 years b. You can get a 90% loan for 4% for 30 years. What is the incremental cost of financing the marginal 10% if you take the second loan, assuming that you will stay in the loan for all 30 years