document.write( "Question 1207348: Aisha contributed $2000 per year for the past 10 years into an RRSP account earning 3.8% compounded annually. Suppose she leaves the accumulated contributions for another five years in the RRSP at the same rate of interest.
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document.write( "(a)How much will Aisha have in total in her RRSP account?
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document.write( "(b)How much did Aisha contribute?
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document.write( "(c)How much interest will have been earned?
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Algebra.Com's Answer #845182 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the calculator at https://arachnoid.com/finance/index.html can help solve this. \n" ); document.write( "alternatively, my ti-business analyst 2 will do the same job. \n" ); document.write( "there may be slight differences due to rounding, but the answers will essentially be the same. \n" ); document.write( "i compared the two results and provided both if there was a difference.\r \n" ); document.write( "\n" ); document.write( "there are also annuity formulas that will provide the same answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here are the results from using the calculator at arachnoid.com\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( "the first thing to do is to find the future value of 2000 invested at the end of each year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "inputs are: \n" ); document.write( "present value = 0 \n" ); document.write( "future value = 0 \n" ); document.write( "number of time periods = 10 years \n" ); document.write( "payment is -2000. \n" ); document.write( "interest rate per time period = 3.8% per year \n" ); document.write( "payments are made at the end of each year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "click on fv and the calculator tells you that the future value is 23790.69.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the next thing to do is to finr the future value of 23790.69 for the additional 5 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "inputs are:inputs are: \n" ); document.write( "present value = -23790.69 \n" ); document.write( "future value = 0 \n" ); document.write( "number of time periods = 5 years \n" ); document.write( "payment is 0. \n" ); document.write( "interest rate per time period = 3.8% per year \n" ); document.write( "payments are made at the beginning or end of each year doesn't apply.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "click on fv and the calculator tells you that the future value is 28667.76.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that should be your answers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2000 invested at the end of each year for 10 years, and then having the remaining balance invested for an additional 5 years with no additional investments at the end of each year, will will be worth 28667.76 at the end of the 15 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answers to your questions are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a. How much will Aisha have in total in her RRSP account?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "28,667.76.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " b. How much did Aisha contribute? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she contributed 10 * 2000 = 20,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c. How much interest will have been earned?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "her interest earned was 28,667.76 minus 20,000 = 8,667.76 \n" ); document.write( " \n" ); document.write( " |