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anonymous

  • 5 years ago

AJ takes out a small business loan of 15500 dollars at a nominal rate of interest of 7.4 percent convertible quarterly. One year later, he repays 3500 dollars. Two years after that, the bank wants to sell AJ's loan to another institution. How much does AJ owe at that time?

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  1. anonymous
    • 5 years ago
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    since it's convertible quarterly you use a compound interest formula using the rate/4. So the amount owed after one year (four quarters), will be: P (1 + r/4)^4 where P = the principal and r = .074

  2. anonymous
    • 5 years ago
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    hey md, any luck?

  3. anonymous
    • 5 years ago
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    hi, thanks for helping me... i converted the interest as u said but im having trouble to set up the equation..

  4. anonymous
    • 5 years ago
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    i have it as follows : 15500=3500+x(1.0185)^12 and im solving for x.

  5. anonymous
    • 5 years ago
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    hey md

  6. anonymous
    • 5 years ago
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    hmmm, well, you're looking for the total amount that is owed on the load after 3 years

  7. anonymous
    • 5 years ago
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    after the first year, 15500*(1 - .074/4)^4 is left on the loan

  8. anonymous
    • 5 years ago
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    at that time, AJ pays 3500, and you have another equation

  9. anonymous
    • 5 years ago
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    ... with a new principal. two years after that time, the total amount on the load is: ((15500*(1-.074/4)^4) - 3500) * (1+ .074/4)^8 (since AJ now owes two more years - 8 quarters - at the same rate but new principal)

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