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You deposit some money in the bank

Finance

You deposit some money in the bank. The interest rate is 12% in the first year, 15% in the second year, and 17% in the third year. At the end of third year, you will receive 75348 TL. What is the amount of money you have invested, today?

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Answer:

PV = FV / (1+ r1)n * (1+ r2)n * (1+ r3)n

PV = Present value

FV = Future value = 75348

r1 = 12% for the first year and n = 1

r2 = 15% for second year and n = 1

r3 = 17% for third year and n = 1

PV = FV / (1+ r1)n * (1+ r2)n * (1+ r3)n

= 75348 / (1+ 0.12)1 * (1+ 0.15)1 * (1+ 0.17)1

= 75348 / (1.12) * (1.15) * (1.17)

= 75348 / 1.50696

= 50000

The amount of money you should invest today is 50000

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