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please assist (Comprehensive problem) Over the past few years, Microsoft founder Bill Gates' not worth has fluctuated befween $20 billion and $130 billion. In early

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(Comprehensive problem) Over the past few years, Microsoft founder Bill Gates' not worth has fluctuated befween $20 billion and $130 billion. In early 2006 . it was about $26 bilion-after he reduced his stake in Microsoft from 21 percent to around 14 percent by moving billions into his chantable foundation Ler's see what Bill Gates can do with his money in the following problems a. Manhattan's native tribe sold Manhattan Island to Peter Minuit for $24 in 1626. Now, 387 years later in 2013 , Bdll Gates wants to buy the island from the "current natives" How much would Bill have to pay for Manhattan if the "current natives" want a 5 percent annual return on the original $24 purchase price? b. Bill Gates decides to pass on Manhattan and instead plans to buy the city of Seattle, Washington, for $60 bilfion in 11 years. How much would Bill have to invest today at 11 percent compounded annually in order to purchase Seattle in 11 years? c. Now assume Bill Gates only wants to invest haif his net worth today, $13 billion, in order to buy Seattle for $60 billion in 11 years. What annual rate of return would he have to earn in order to complete his purchase in 11 years? d. Instead of buying and running large cibes, Bill Gates is considering quitting the nigors of the business world and rotiring to work on his golf game To fund his retirement, Bill would invest his $20 billon fortune in safe investments with an expected annual rate of return of 8 percent He also wants to make 45 equal annual withdrawals from this retirement fund beginning a year from today, running his retirement fund to 50 at the end of 45 years How much can his annual withdrawal be in this case? a. The amount Butl would have to pay for Manhattan if the "current natives" wanted a 5 percent annual return on the original $24 purchase price after 387 years is s. billion. (Round to two decimal places.)

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