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 $20,000 per month for 30 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 $337,000. Third, after he passes on at the end of the 30 years of withdrawals, he would like to leave an inheritance of $650,000 to his nephew Frodo. He can afford to save $2,000 per month for the next 10 years. Required: If he can earn a 11 percent EAR before he retires and a 8 percent EAR after he retires, how much will he have to save each month in years 11 through 30?