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A young couple has made a nonrefundable deposit of the first month’s rent (equal to $1,000) on a 6-month apartment lease. The next day they find a different apartment that they like just as well, but its monthly rent is only $900. They plan to be in the apartment only 6 months. Should they switch to the new apartment? What if they plan to stay 1 year? Assume an interest rate of 12%

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jepessoa

Answer:

Should they switch to the new apartment? If they plan to stay 6 months.

No, since the difference in rent is too small and it is simply not worth it.

If they were planning to saty in teh new apartment for 1 year, they would need to find the epresent value of the difference between one apartment and the other = $100 x 11.255 (PVIFA, 1%, 12 peridos) = $1,125.50. This amount is higher than the initial deposit, so they should choose the other apartment.

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