document.write( "Question 1200182: Francine currently has $45,000 in her 401k account at work, and plans to contribute $800 at the end of each month for the next 15 years. How much will she have in the account in 15 years, if the account averages a 6% annual return? Assume monthly compounding. \n" ); document.write( "
Algebra.Com's Answer #834277 by Theo(13342)![]() ![]() You can put this solution on YOUR website! she currently has 45000 in her account. \n" ); document.write( "she will contribute an additional 800 at thre end of each month for the next 15 years. \n" ); document.write( "the account averages 6% per year compounded monthly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can use a financial calculator to solve this. \n" ); document.write( "the one i use online is at https://arachnoid.com/finance/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculator says that you will have 343,089.18 at the end of the 15 year invstment period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the results are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your inputs are: \n" ); document.write( "pv = -45000 \n" ); document.write( "fv = 0 \n" ); document.write( "np = 15 years * 12 months per year = 180 months \n" ); document.write( "pmt = -800 payable at the end of each month. \n" ); document.write( "ir = 6% per year divided by 12 months per year = .5% per month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "calculator comes back with fv = 343,089.18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the present value and the payment per month were negative becaus that is your money that you invested in the account. \n" ); document.write( "the future value is positive because that is what you earned at the end of the 15 years investment period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |