A borrower has been analyzing different adjustable rate mortgage $($ARM$)$ alternatives for the purchase of a property. The borrower anticipates owning the property for five years. The lender first offers a $$151,000,30-$year fully amortizing ARM with the following terms:Initial interest rate $=6$ percentIndex $=1-$year TreasuriesPayments reset each yearMargin $=2$ percentInterest rate cap $=$ NonePayment cap $=$ NoneNegative amortization $=$ Not allowedDiscount points $=2$ percentBased on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year $($BOY$)2=9$ percent;$($BOY $3=10\mathrm{.}5$ percent; $($BOY$)4=11\mathrm{.}5$ percent; $($BOY$)5=13$ percent.Required:a$.$ Compute the payments and loan balances for the unrestricted ARM for the five$-$year period.b$.$ Compute the yield for the unrestricted ARM for the five$-$year period.