On September $1,2024,$ a company decides to lease office space in a building. The building$$s owner offers the company the following options, with the first monthly payment beginning September $30,2024$:

$1.$ Sign a two$-$year lease with monthly payments of $$3,000.$

$2.$ Sign a three$-$year lease with monthly payments of $$2,750.$

$3.$ Sign a four$-$year lease with monthly payments of $$2,500.$

Required:

$1.$ For each option, calculate the present value of the lease payments using an interest rate of $6\%.($Hint: Use a financial calculator or Excel.$)$

$2.$ Record each lease on September $1,2024.$

$3.$ For which option is the lease payable recorded for the highest amount?