Question

You have just been offered a contract worth $ 1.22 million per year for 55 years.​...

You have just been offered a contract worth

$ 1.22 million per year for 55 years.​ However, to take the​ contract, you will need to purchase some new equipment. Your discount rate for this project is 12.2 %

You are still negotiating the purchase price of the equipment. What is the most you can pay for the equipment and still have a positive

NPV​? The most you can pay for the equipment and achieve the 12.2% annual return is $ million.  ​(Round to two decimal​ places.)

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Answer #1

NPV = PV of Cash Inflows - PV of Cash Outflows

PV of Cash Inflows = Annuity x [{1 - (1 + r)-n} r]

= $1.22 million x [{1 - 1.122-55} / 0.122]

= $1.22 million x [0.9982 / 0.122] = $1.22 million x 8.1821 = $9.98 million

So,

0 = $9.98 million - C0

C0 = $9.98 million

The most the firm can pay for the equipment is $9.98 million.

If they pay any more than $9.98 million the contract would be negative-NPV.

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