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determine the annual payment of 5% compounded annually to repay a loan of $ 100,000,000 in...

determine the annual payment of 5% compounded annually to repay a loan of $ 100,000,000 in 20 years please show every single step!!
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Answer #1

Amount of Loan = $100,000,000
Annual Interest Rate = 5%
Number of Payments = 20

Let Annual Payment be $x

$100,000,000 = $x/1.05 + $x/1.05^2 + … + $x/1.05^19 + $x/1.05^20
$100,000,000 = $x * (1 - (1/1.05)^20) / 0.05
$100,000,000 = $x * 12.462210
$x = $8,043,622.17

Annual Payment = $8,043,622.17

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