document.write( "Question 247104: Akhil wants to invest Rs 2,500 every year for a period of 6 years so that he can receive Rs.18,000 at the end of tenure.What is the interest rate at which he should invest? \n" ); document.write( "
Algebra.Com's Answer #180324 by Theo(13342)\"\" \"About 
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payment amount is equal to 2500 at the beginning of each year.
\n" ); document.write( "future value of all the payments is equal to 18000.
\n" ); document.write( "compounding is annual (once a year).\r
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\n" ); document.write( "\n" ); document.write( "answer is interest rate = 5.233196982 percent per year.\r
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\n" ); document.write( "\n" ); document.write( "progression each year is as follows.\r
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\n" ); document.write( "\n" ); document.write( "displays have truncated but the actual calculations are being done by the full numbers stored in calculator memory.\r
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\n" ); document.write( "\n" ); document.write( "end of year 1 you have 2500 * 1.052 = 2630
\n" ); document.write( "end of year 2 you have (2630 + 2500) * 1.052 = 5399
\n" ); document.write( "end of year 3 you have (5399 + 2500) * 1.052 = 8312
\n" ); document.write( "end of year 4 you have (8312 + 2500) * 1.052 = 11378
\n" ); document.write( "end of year 5 you have (11378 + 2500) * 1.052 = 14605
\n" ); document.write( "end of year 6 you have (14605 + 2500) * 1.052 = 18000\r
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\n" ); document.write( "\n" ); document.write( "I used a financial calculator to get the result since I was unable to find a formula that would solve for the interest rate.\r
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\n" ); document.write( "\n" ); document.write( "I believe the calculator solves by doing iterations until it narrows down to a solution. You can also do this manually but it takes much much longer.\r
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