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 $31500 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 $415000. Third after he passes on at the end of the 25 years of withdrawals he would like to leave an inheritance of
$1375000 to his nephew Frodo. He can afford to save $4000 per month for the next 10 years. If he can earn a 10 percent EAR before he retires and a 7 percent
EAR after he retires how much will he have to save each month in years 11 through 30?