In: Finance
You are contributing money to an investment account so that you can purchase a car in five years. You plan to contribute six payments with $2,000 each year. The first payment will be made today (t = 0), and the final payment will be made five years from now (t = 5). If you earn 8% in your investment account, how much will you have in the account six years from now (t= 6)? Note: This is an annuity due problem.
$15,721.3 |
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$15,845.6 |
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$16,843.2 |
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$17,786.3 |
Future value of annuity due=(1+rate)*Annuity[(1+rate)^time period-1]/rate
=1.08*2000*[(1.08)^6-1]/0.08
=2000*7.92280336
which is equal to
=$15845.6(Approx)