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13. A local bank is running the following advertisement in the​ newspaper: "For just $3,000 we...

13. A local bank is running the following advertisement in the​ newspaper: "For just $3,000 we will pay you $180 ​forever!" The fine print in the ad says that for a $3,000 deposit, the bank will pay $180 every year in​ perpetuity, starting one year after the deposit is made. What interest rate is the bank advertising​ (what is the rate of return of this​ investment)?

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Answer #1

rate positively ..

Interest rate = Annual amount/Initial payment
180/3000
6.00%
Therefore answer = 6.00%
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Answer #2

NPV = 0 = -3000 + 180/(1+r) + 180/(1+r)2 + 180/(1+r)3 + ...

                                = -3000 + 180/r
                 r = 0.06 => IRR = 6%


answered by: K. Lee
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