Sunk Costs (Exercise 2.6 in Luenberger): Part 1 Questions 2 and 3 are part of one problem.

A young couple has already put down a deposit of the first months rent (equal to $1,000) on a 6-month apartment lease, but has still not paid the first months rent. The deposit is refundable at the end of six months if they take the apartment. The next day the couple finds a different apartment that they like just as well, but its monthly rent is only $900. And they would again have to put down a deposit of $900 refundable at the end of 6 months. The couple wants to decide whether to stay in the $1000 apartment or switch to the cheaper apartment and forego the deposit. They will do so by comparing the present value of the (future) cash flows associated with the two apartment leases.

What is the present value of the (future) cash flows associated with the $1,000 apartment? Assume an interest rate of 12% per month compounded monthly. Round your answer to the nearest integer. Assume that the rent for each month is paid at the beginning of the month in advance, and the deposit is returned at the end of six months. Also, your answer should turn out to be a negative number since the rent payment is a cash outflow for the couple.

Part 2

Recall the situation described above where a couple is deciding between a $1000 apartment and a $900 apartment. What is the present value of the cash flows associated with the $900 apartment? Assume an interest rate of 12% per month compounded monthly. Round your answer to the nearest integer. Assume that the rent for each month is paid at the beginning of the month in advance, and the deposit is returned at the end of six months. Also, your answer should turn out to be a negative number since the rent payment is a cash outflow for the couple.