A $1-$year lease agreement requires a payment of $$1498+23$ dollars per month, with the first payment due next month. Compute the present value of those payments to the lessor if the appropriate annualized discount rate is $7\mathrm{.}55\%?$

A $2-$year lease agreement requires a payment of $$1583+23$ dollars per month, with the first payment due today. Compute the present value of those payments to the lessor if the appropriate annualized discount rate is $5\mathrm{.}15\%?$

You are being offered a choice of buying or leasing a new car. The purchase price is $$47,421+23$ dollars, which can be financed at an APR of $5\mathrm{.}99\%$ over $4$ years $($and the car is expected to be worth $$20,400$ at the end of the $4$ years$).$ Alternatively, you can lease the car for four years for $$669$ per month. Show which offer is better.

Please show work for the Finance Problems!