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heatherlambert2 Group Title

Alyssa may apply for an unsubsidized Stafford Loan with an interest rate of 6.8%, compounded monthly and a grace period of six months from the time of graduation. Or, Alyssa may have her parents apply for a PLUS Loan with an interest rate of 7.8%, compounded monthly. She will be graduating from college in a year and a half and needs a loan in the amount of $11,895. Which loan is the better choice and why?

  • one year ago
  • one year ago

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  1. heatherlambert2 Group Title
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    -The Stafford Loan is the better choice because it is $197.81 cheaper than the PLUS Loan. -The PLUS Loan is the better choice because it is $256.32 cheaper than the Stafford Loan. -The PLUS Loan is the better choice because it is $454.13 cheaper than the Stafford Loan. -The Stafford Loan is the better choice because it is $273.50 cheaper than the PLUS Loan.

    • one year ago
  2. heatherlambert2 Group Title
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    @ajprincess @AravindG @Alyx_da_Boss @Anyssah @alahrichi1 @A.kumar

    • one year ago
  3. A.kumar Group Title
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    use ur own brain

    • one year ago
  4. heatherlambert2 Group Title
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    I tried. Give me a formula and I can do it. I can't find the formula.

    • one year ago
  5. mathmate Group Title
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    Amount after n months, compounded monthly A=P(1+r/12)^n r=interest rate per annum P=principal (borrowed amount) n=number of months money was borrowed. Calculate the amount to be repaid for each option and make your choice accordingly.

    • one year ago
  6. A.kumar Group Title
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    pi=prt/100

    • one year ago
  7. heatherlambert2 Group Title
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    @mathmate what would n be? i put 18, but i don't think that's right.

    • one year ago
  8. mathmate Group Title
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    I am not too sure if the "grace period" is just an extended repay period where interest continues to grow. If you calculate it for n=18, you would get one of the answers. And for n=24, you would get another answer. The answer depends on when she is ready to repay (completely), 18 or 24 months. Make a choice.

    • one year ago
  9. heatherlambert2 Group Title
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    Grace period is the months where interest isn't charged. Like a credit card.

    • one year ago
  10. heatherlambert2 Group Title
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    I'm not getting the right answer. I'll just pick a random answer.

    • one year ago
  11. mathmate Group Title
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    If that's the interpretation, then PLUS loan will charge (higher) interest for 24 months while the Stafford loan charges (lower) interest for 18 months. The difference comes to be $727.64, which is not one of the answers.

    • one year ago
  12. Anyssah Group Title
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    The Stafford Loan is the better choice because it is $197.81 cheaper than the PLUS Loan.

    • one year ago
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