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27. Facts:   $100,000 loan, 30 years, fixed rate of 8%, monthly payment of $733.76.   What is...

27. Facts:   $100,000 loan, 30 years, fixed rate of 8%, monthly payment of $733.76.   What is the loan balance after the first month?

    A. $100,000

    B. $99,933

    C. $99,267

    D. $92,000

    E. $67

Please show work, THanks!

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Answer #1

Answer is $99,933

Annual interest rate = 8.00%

Monthly interest rate = 8.00% / 12
Monthly interest rate = 0.6667%

First Month:

Beginning loan outstanding = $100,000

Interest paid = 0.66667% * $100,000
Interest paid = $666.67

Principal repaid = Cash paid - Interest paid
Principal repaid = $733.76 - $666.67
Principal repaid = $67.09

Ending loan outstanding = $100,000.00 - $67.09
Ending loan outstanding = $99,932.91

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