document.write( "Question 1193410: 1. Julita owes Jose the following amounts:
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document.write( "a. 55,000 at the end of 4 years,
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document.write( "b. 48,000 at the end of 5 years, and
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document.write( "c. 75,000 due in 3 years from today at 9% converted quarterly.
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document.write( "What single payment at the end of 2 years will settle Julita’s
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document.write( "obligations if money is worth 15% converted monthly? \n" );
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Algebra.Com's Answer #848812 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I can not leave this problem and its solution without my notices.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The problem itself looks very strange to me.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(1) It systematically repeats \"converted\" instead of \"compounded\", which tells me \n" ); document.write( "that the author is unfamiliar with standard terminology - so the author is a person who accidentally got lost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2) From the problem, it is unclear, to which money this statement relates \"If money is worth 15% converted monthly\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Honestly, my impression is that the condition of the problem is mistakenly mixed\r \n" ); document.write( "\n" ); document.write( "from two different problems (so the author accidently was got lost again).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(3) In the solution, calculation for pv_c looks strange to me.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It uses the formula \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "pv_c = 75000/(1+0.093083)^1*(1+0.15/12)^(-12)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It seems out of logic, since all we need to do in this part is to rewind back one year from 75,000 \n" ); document.write( "with the quarterly compounding effective rate r = 0.09/4,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so the formula should be\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "pv_c = 75000/(1+0.09/4)^4,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which will produce, definitely, another value.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |