document.write( "Question 1119181: To save for retirement, Karla Harby put $550 each month into an ordinary annuity for 20 years. Interest was compounded monthly. At the end of the
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document.write( "20 years, the annuity was worth $226,173. What annual interest rate did she receive?\r
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document.write( "**(Answer has to be in \"%\", and \"2\" decimal places). \n" );
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Algebra.Com's Answer #734653 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you can use a financial calculator to solve this.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used the TI-BA-II business analyst and got the following.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculator told me that the interest rate per month is equal to .417000132 percent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply that by 12 to get an annual interest rate of 5.004001581 percent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "round that to 2 decimal places and you get an annual interest rate of 5.00 percent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the same as 5.00%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "my inputs were:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "present value = 0 \n" ); document.write( "future value = 226173 \n" ); document.write( "number of months = 20 * 12 = 240 \n" ); document.write( "payment per month = -550 \n" ); document.write( "payment is made at the end of each month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "my output was the interest rate per month shown above.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculators use the following convention.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the money is coming in to you, it is shown as positive. \n" ); document.write( "if the money is going out from you, it is shown as negative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the future value of the annuity was money coming in to you, so it was entered as positive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the monthly payment was money going out from you, so it was entered as negative.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |