Suppose that you are considering taking out an adjustable$-$rate mortgage with the following terms:

Amount borrowed: $$675,000$

Index rate: Prime Rate $($Current value is $4\mathrm{.}5\%)$

Margin: $235$ basis points.

Periodic cap: $2$ percentage points

Lifetime cap: $4$ percentage points

Amortization: $25$ years

What will the initial monthly payment be for this loan?

If the loan$$s interest rate adjusts every year and the prime rate increases to $6\mathrm{.}5\%$ by the end of the second year, what will your payment be in the third year of the loan?

What is the highest interest rate that the lender could charge over the life of the loan?