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Assume a client of yours is now (t=0) forty-five and plans to retire 10 years (t=10) from now at age fifty-five. He plans to save $10,000 a year for the next three years (t=1,2 and 3) and $18,000 a year for the following seven years (t=4,5...10). Moreover, your client owns a piece of land currently valued at $150,000, which is expected to appreciate in value 10% per year.
REQUIRED:
Question a) Disregarding taxes and assuming savings will appreciate at 12% compounded annually, calculate the total wealth of your client upon retirement (from savings and real estate)
Question b) Assume all the wealth calculated in part (a) is invested at t=10 in an account that pays 7% per year. Moreover, assume your client wishes to withdraw $60,912 at the end of each year during his retirement before he ends up with a zero balance. How many years will he be able to make this withdrawal (do not interpolate)
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