Oppenheimer Bank is offering a $30-$year mortgage with an APR of $4\mathrm{.}87\%$ based on monthly compounding. With this$$ mortgage, your monthly payments would be $$$$2038$ per month. In$$ addition, Oppenheimer Bank offers you the following$$ deal: Instead of making the monthly payment of $$$$2038$ every$$ month, you can make half the payment every two weeks$($so that you will make $52$ divided by $2$ equals $26$ payments per$$ year$).$ With this$$ plan, how long will it take to pay off the mortgage if the EAR of the loan is$$ unchanged? Note$$: Make sure to round all intermediate calculations to at least $8$ decimal places. What are the number of payments? And how many years will it take to pay off the mortgage?