document.write( "Question 1183166: How much should you invest each month in order to have $300,000 if your rate of return is 3% compounded monthly and you want to achieve your goal in 20 years? How much will your savings be worth after 10 years? \n" ); document.write( "
Algebra.Com's Answer #813331 by Theo(13342)![]() ![]() You can put this solution on YOUR website! use the calculator at https://arachnoid.com/finance/index.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first you want to find the payment required.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "inputs are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "present value is equal to 0 \n" ); document.write( "future value is equal to 300000 \n" ); document.write( "number of periods is equal to 20 years * 12 = 240 months. \n" ); document.write( "interest rate per period is equal to 3% per year / 12 = .25% per month. \n" ); document.write( "payments are made at the end of each period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "output is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "payment = -913.79.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it's negative because it's money going out. \n" ); document.write( "future value is positive because it's money coming in.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "results are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now that you know the payment required, next you want to find the future value after 10 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "inputs are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "present value is equal to 0 \n" ); document.write( "number of periods is equal to 10 years * 12 = 120 months. \n" ); document.write( "payment amount is equal to -932.79 \n" ); document.write( "interest rate per period = 3% per year / 12 = .25% per month. \n" ); document.write( "payment is made as the end of each time period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "output is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "future value = 127,694.31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "results are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a month by month analysis for selected months is shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |