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Flag Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with

Flag Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with retirement income of $16,000 per month for 25 years, with the first payment received 30 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 10 years at an estimated cost of $375,000. Third, after he passes on at the end of the 25 years of withdrawals, he would like to leave an inheritance of $1.5 million to his nephew Frodo. He can afford to save $2,150 per month for the next 10 years. If he can earn an EAR of 10 percent before he retires and an EAR of 7 percent after he retires, how much will he have to save each month in Years 11 through 30? Question: How much does Bilbo Baggins need at retirement (30 years or 360 months from now ) so that he can have a retirement income of $16,000 per month for 25 years and leave an inheritance of $1,500,000 after he passes on at the end of the 25 years?

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