document.write( "Question 1078961: I put $250 per month into an account accruing 2.5% APR over 35 years. After 35 years, I stop putting money in and withdraw the same amount every month for 15 years. How much money was deposited and how much was withdrawn? \n" ); document.write( "
Algebra.Com's Answer #693427 by Theo(13342) You can put this solution on YOUR website! if you invest 250 dollars at the end of each month for 35 years at 2.5% interest rate per year compounded monthly, you will have 167603 dollars at the end of that 35 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in order to withdraw 250 dollars at the end of each month for 15 years at 2.5% interest rate per year compounded monthly,you will need to invest 37493 dollars at the beginning of that 15 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the beginning of that 15 year period coincides with the end of the 35 year period, you will have a net profit of 130110 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you invest that 130110 dollars at the beginning of the 15 year period at 2.5% interest rate per year compounded monthly, you will have 189235 dollars at the end of that 15 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you invested total payments of 420 * 250 = 105000 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you received total payments of 180 * 250 = 45000 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you had 0 dollars in your account at the start of the 35 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will have 167603 dollars in your account at the end of the 35 year period that coincides with the beginning of the 15 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will have 189235 dollars in your account at the end of the 15 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "35 years * 12 = 420 months. \n" ); document.write( "15 years * 12 = 180 months.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your monthly investment period was 420 months. \n" ); document.write( "your monthly withdrawal period was 180 months.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |