A company wants to decide between two leasing options for warehouse for the next 4 years. Option A will require a deposit of $40,000 (refundable after the lease period) and a payment of $4,500 to be paid at the end of each month for the next 47 months. Option B has no down payment and requires a payment of $5,000 at the beginning of each month for the next 48 months. Use an interest rate of 9% per year. Find the net present value of the total cost of each option.

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?