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It is 2020 and you have decided to give back to your university by endowing the operating budget for a new dining hall being built

It is 2020 and you have decided to give back to your university by endowing the operating budget for a new dining hall being built on campus. Your donation will go into the universitys endowment pool, which is expected to earn annual returns of 9%. The first cash flow to cover operational expenses will be distributed from the endowment upon the completion of the dining hall in 2022,2 years from today. The student government has asked, and you have agreed, to allow each annual cash flow generated from your gift to grow at a rate of 2% from the prior years payment. If you are planning to donate $3,600,000 today and you want the cash flows it generates to fund the new dining hall in perpetuity, what is the amount of the first payment that the endowment will be able to distribute to the dining hall upon its opening in 2022?

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