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Suppose you buy a sleek Italian racing automobile (e.g. Fiat) and you have the choice of...

Suppose you buy a sleek Italian racing automobile (e.g. Fiat) and you have the choice of paying the full price, $41,000, now; or $10,000 at the end of each of the next five years. What is the cost of capital, or the implied interest rate, that makes the two methods equivalent?

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Answer #1

Let interest rate be x%

At this rate;present value of annual payments=41000

41000=10,000/1.0x+10,000/1.0x^2+10,000/1.0x^3+10,000/1.0x^4+10,000/1.0x^5

Hence x=interest rate=7%(Approx)

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