document.write( "Question 1193610: A grandmother wishes to save ₱150,000 for her granddaughters’
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Algebra.Com's Answer #825695 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "A grandmother wishes to save ₱150,000 for her granddaughters’
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document.write( "It is a classic Ordinary Annuity saving plan. The general formula is \r\n" );
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document.write( "    FV = \"P%2A%28%28%281%2Br%29%5En-1%29%2Fr%29\",    \r\n" );
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document.write( "where  FV is the future value of the account;  P is the monthly payment (deposit); \r\n" );
document.write( "1+r is the monthly growth factor; n is the number of deposits (= the number of years multiplied by 12, in this case).\r\n" );
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document.write( "From this formula, you get for the monthly payment \r\n" );
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document.write( "    P = \"FV%2A%28r%2F%28%281%2Br%29%5En-1%29%29\".     (1)\r\n" );
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document.write( "Under the given conditions, FV = P150,000;  r = 0.065/12;  n = 4*12.  So, according to the formula (1), you get \r\n" );
document.write( "for the monthly payment \r\n" );
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document.write( "    P = \"150000%2A%28%28%280.065%2F12%29%29%2F%28%281%2B0.065%2F12%29%5E%284%2A12%29-1%29%29\" = 2744.74.\r\n" );
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document.write( "Answer.  The necessary monthly deposit value is P2744.74.\r\n" );
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document.write( "Note that of projected  total  P150,000, the grandmother deposits only  4*12 times P2744.74, \r\n" );
document.write( "i.e. 4*12*2744.74 = P 131747.52. The rest is what the account earns/accumulates in 4 years.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Ordinary Annuity saving plans,  see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Ordinary Annuity saving plans and geometric progressions\r
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\n" ); document.write( "\n" ); document.write( "The lessons contain  EVERYTHING  you need to know about this subject,  in clear and compact form.\r
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\n" ); document.write( "\n" ); document.write( "When you learn from these lessons,  you will be able to do similar calculations in semi-automatic mode.\r
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