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 $30,000 per month for 20 years, with the first payment received 30 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 20 years at an estimated cost of $1,458,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $900,000 to his nephew Frodo. He can afford to save $2,000 per month for the next 20 years.

Required: If he can earn a 12 percent EAR before he retires and a 9 percent EAR after he retires, how much will he have to save each month in years 21 through 30?