Bilbo Baggins wants to save money to meet three objectives.

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 $29,000 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 20 years at an estimated cost of $1,034,000. Third, after he passes on at the end of the 25 years of withdrawals, he would like to leave an inheritance of $750,000 to his nephew Frodo. He can afford to save $1,800 per month for the next 20 years.

If he can earn a 10 percent EAR before he retires and a 8 percent EAR after he retires, how much will he have to save each month in years 21 through 30?