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A wealthy philanthropist has established the following endowment for a hospital. The details are as follows: a cash deposit of $ 12 M two years

A wealthy philanthropist has established the following endowment for a hospital. The details are as follows: a cash deposit of $ 12 M two years from now; an annual cash deposit of $4M per year for the next five years. The first $4M will start today; at the end of 5 years, the hospital will also receive a lump sum payment of $15M. Assuming the cost of money is 4.5%, what is the value of this endowment in todays dollars? Show your work.

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