Problem $5-8$

Assume that a lender offers a $30-$year, $$155,000$ adjustable rate mortgage $($ARM$)$ with the following

terms:

Initial interest rate $=7\mathrm{.}5$ percent

Index $=$ one$-$year Treasuries

Payments reset each year

Margin $=2$ percent

Interest rate cap $=1$ percent annually; $3$ percent lifetime

Discount points $=2$ percent

Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning

of year $(BOY)2=7$ percent; $(BOY)3=8\mathrm{.}5$ percent; $(BOY)4=9\mathrm{.}5$ percent; $(BOY)5=11$ percent.

Required:

a$.$ Compute the payments and loan balances for the ARM for the five$-$year period.

b$.$ Compute the yield for the ARM for the five$-$year period.

Answer is complete but not entirely correct.

Complete this question by entering your answers in the tabs below.

Compute the yield for the ARM for the five$-$year period.

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.