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How much money must be deposited now, at 6% interest compounded semiannually,?
How much money must be deposited now, at 6% interest compounded semiannually, to yield an annuity payment of $4,000 at the beginning of each six-month period, for a total of five years?
PV of Annuity= (PMT/i) x [1-(1/(1+i/n)^nt]
1) [4000/(.06/2)] x [1-(1/(1+.06/2)^(2x5)]
2) $4000/.03 x [1-(1/(1.03)^10]
3) $133,333.33 x [1-(1/1.3439)]
4) $133,333.33 x (1- 0.744093)
5) $133,333.33 x 0.255906085
6) = $34120.81
You can confirm this answer in a financial calculator, solving for Present Value
To convert from Annuity to Annuity Due(payments at beginning of period), you multiply PV time 1+ i...
$34120.81(1.03) = $35144.43
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August 25th, 2010 in
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