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6. You expect the price of a certain painting to increase by 8% a year. The...

6. You expect the price of a certain painting to increase by 8% a year. The interest rate is 10%. You are willing to pay $100 a year to have the painting on your wall. How much would you be willing to pay for the painting?

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Answer #1

The amount a person is willing to pay for the painting is found using present value of growing perpetuity equation.

А PV growing perpetuity = 1-9

where A = annual payment

r = interest rate

g = growth rate

PV growing perpetuity = $100 0.10 - 0.08

The amount the person is willing to pay for the painting = $ 5000

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