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4) (24 points) A real estate professional has decided to make annual contributions over a 25 -year period into a retirement fund. He wants to

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4) (24 points) A real estate professional has decided to make annual contributions over a 25 -year period into a retirement fund. He wants to make the first contribution one year from now (t=1). He then plans to increase his annual contribution by 5% each year for the remaining years. The fund is expected to earn 10% per year compounded annually. He plans to retire in 25 years (from now) and would like to withdraw $225,000 per year for a period of 15 years starting one year after retirement, i.e., t=26. Assume that the fund will be depleted when the last withdrawal is made at t=40. Determine the amount of his first contribution (at t=1 )

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