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murrcat

  • one year ago

Alex purchased a bedroom set for $2,276 using a six-month deferred payment plan with an interest rate of 23.49%. What is the balance after the deferment period if payments of $112 are made each month? $1,604.00 $1,884.74 $2,276.00 $2,556.74

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  1. jim_thompson5910
    • one year ago
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    Hint: use A = P(1+r/n)^(n*t)

  2. jim_thompson5910
    • one year ago
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    another hint: the monthly payment figure they mention has no affect on the answer (it's put in there to throw you off)

  3. murrcat
    • one year ago
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    I know it's not $2556.74

  4. murrcat
    • one year ago
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    or C

  5. jim_thompson5910
    • one year ago
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    why not?

  6. jim_thompson5910
    • one year ago
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    A = P(1+r/n)^(n*t) A = 2276(1+0.2349/12)^(12*0.5) A = 2556.74

  7. murrcat
    • one year ago
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    Then I use the same formula as in the other question?

  8. jim_thompson5910
    • one year ago
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    no you're done

  9. jim_thompson5910
    • one year ago
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    that's the balance after 6 months

  10. jim_thompson5910
    • one year ago
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    so you were second-guessing yourself

  11. murrcat
    • one year ago
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    That's not the right answer

  12. jim_thompson5910
    • one year ago
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    it says 2556.74 is wrong?

  13. murrcat
    • one year ago
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    Yeah

  14. jim_thompson5910
    • one year ago
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    oooh let me try this

  15. jim_thompson5910
    • one year ago
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    oh wait nvm

  16. jim_thompson5910
    • one year ago
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    does it say which period after the deferment period ends?

  17. jim_thompson5910
    • one year ago
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    like "2 months after the deferment period"?

  18. murrcat
    • one year ago
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    Nope

  19. jim_thompson5910
    • one year ago
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    well the balance at the 6 month mark is 2556.74 if no payments are made during that 6 month window

  20. jim_thompson5910
    • one year ago
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    let's see what happens when payments of $112 are made instead

  21. murrcat
    • one year ago
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    What is the balance after the deferment period if payments of $112 are made each month?

  22. murrcat
    • one year ago
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    I think it's $1884.74 because if you multipy 112 by 6 months you get that answer

  23. jim_thompson5910
    • one year ago
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    one sec

  24. murrcat
    • one year ago
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    ok

  25. jim_thompson5910
    • one year ago
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    hmm not sure why, but the closest I'm getting is 1850.99, but that's nowhere near $1884.74

  26. jim_thompson5910
    • one year ago
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    I wonder if it's implying that the interest is added after the payment is made

  27. murrcat
    • one year ago
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    Not so sure, I'll just go with $1,884.74

  28. murrcat
    • one year ago
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    Sakura purchased ski equipment for $1,248 using a six-month deferred payment plan. The interest rate after the introductory period is 23.79%. A down payment of $175 is required as well as a minimum monthly payment of $95. What is the balance at the beginning of the seventh month if only the minimum payment is made during the introductory period? A. $1,112.13 B. $637.13 Do you know which this one would be? I got $637.13 but i'm not to sure

  29. jim_thompson5910
    • one year ago
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    the down payment of 175 means only 1248-175 = 1,073 is financed

  30. jim_thompson5910
    • one year ago
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    one sec

  31. jim_thompson5910
    • one year ago
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    so that's the only two choices?

  32. murrcat
    • one year ago
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    No there were two more but those were wrong

  33. jim_thompson5910
    • one year ago
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    ok nvm that then

  34. jim_thompson5910
    • one year ago
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    I'm guessing the interest rate for the introductory period is not given or is it 0%?

  35. murrcat
    • one year ago
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    Not given

  36. jim_thompson5910
    • one year ago
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    hmm this is a tough one because you can choose not to pay during the deferment period (which I'm assuming is also the introductory period) but I'm trying various scenarios out and I'm not getting anything close I wish they would spell the process out clearer is there an example from the lesson we could use?

  37. jim_thompson5910
    • one year ago
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    if so please post it thanks

  38. murrcat
    • one year ago
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    No I looked through the lesson and everything was pretty crappy just like all these questions being given from this pretest

  39. jim_thompson5910
    • one year ago
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    hmm makes me wish I could read your book/lesson alongside you I'm ok at finance, but stuff like this is making me think otherwise lol

  40. murrcat
    • one year ago
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    hmmm

  41. murrcat
    • one year ago
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    would you know how to do this one?

  42. murrcat
    • one year ago
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    Elliot is graduating from college in six months, but he will need a loan in the amount of $4,850 for his last semester. He may either receive an unsubsidized Stafford Loan with an interest rate of 6.8%, compounded monthly, or his parents may get a PLUS Loan with an interest rate of 7.8%, compounded monthly. The Stafford Loan has a grace period of six months from the time of graduation. Which loan will have a higher balance and by how much at the time of repayment? The PLUS Loan has a higher balance by $51.84. The Stafford Loan has a higher balance by $327.01. The Stafford Loan has a higher balance by $148.03. The PLUS Loan has a higher balance by $259.64.

  43. murrcat
    • one year ago
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    I'll show you what i did first

  44. murrcat
    • one year ago
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    Stafford Loan F = 4850*(1 + 0.068/12)^6 = 5017.25 PLUS Loan F = 4850*(1 + 0.078/12)^6 = 5042.25 Difference PL - SL = 5042.25 - 5017.25 = 28 but 28 isn't in any of the options

  45. murrcat
    • one year ago
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    F = L(1 + r/n)^nt F = Future Value L = Initial Loan r = Interest Rate in Decimal Form n = Number of Compounding Periods Per Year (intra-annual) t = Number of Years Loaned

  46. jim_thompson5910
    • one year ago
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    ok let me try it out

  47. jim_thompson5910
    • one year ago
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    Stafford Loan F = P(1+r/n)^(n*t) = 4850*(1 + 0.068/12)^(12*12/12) = 5,190.28 PLUS Loan F = P(1+r/n)^(n*t) = 4850*(1 + 0.078/12)^(12*6/12) = 5,042.25 Difference 5,190.28 - 5,042.25 = 148.03

  48. jim_thompson5910
    • one year ago
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    you forgot to do n*t in the exponent you just did t in the exponent

  49. murrcat
    • one year ago
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    oooooooh

  50. jim_thompson5910
    • one year ago
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    also, t is in years, so 6 months = 6/12 years 1 year = 12/12 months

  51. murrcat
    • one year ago
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    Alright, thanks so much!

  52. jim_thompson5910
    • one year ago
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    so The Stafford Loan has a higher balance by $148.03. yw

  53. murrcat
    • one year ago
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    Theres one more question I need help with, or are you annoyed of this?

  54. jim_thompson5910
    • one year ago
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    if i don't understand it, i get a bit frustrated lol but it's all in the learning process

  55. jim_thompson5910
    • one year ago
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    that last one wasn't so bad since it was definitely more straight-forward

  56. jim_thompson5910
    • one year ago
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    I wish I knew how to solve that second to last one though, which is why I wanted to see how the lesson would do it (to see an example)

  57. murrcat
    • one year ago
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    Shanelle purchased a dining room set for $2,620 using a 12-month deferred payment plan with an interest rate of 19.49%. She did not make any payments during the deferment period. What will the total cost of the dining room set be if she must pay off the dining room set within two years after the deferment period? $2,620.00 $3,864.00 $5,796.00 $3,178.82

  58. murrcat
    • one year ago
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    I think this is kinda like the question we could not figure out

  59. jim_thompson5910
    • one year ago
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    a bit but this one is more clear though, it says "She did not make any payments during the deferment period"

  60. jim_thompson5910
    • one year ago
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    A = P(1+r/n)^(n*t) A = 2620(1+0.1949/12)^(12*1) A = 3178.82 note: this is NOT the answer and a lot of people think it is (which is why this trap is thrown in here). This value is used to find the final answer.

  61. jim_thompson5910
    • one year ago
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    3178.82 is the balance after the 12 month deferment period let's use this to find the monthly payment Use the formula P = L((r/n)*(1 + r/n)^(n*t))/((1 + r/n)^(n*t) - 1) where, P = monthly payment L = total amount loaned or amortized r = annual interest rate (APR) n = number of times interest is compounded per year (compounding frequency) t = time in years In this case, P = unknown (we're solving for this) L = 3178.82 r = 0.1949 (19.49% = 19.49/100 = 0.1949) n = 12 t = 2 P = L((r/n)*(1 + r/n)^(n*t))/((1 + r/n)^(n*t) - 1) P = 3178.82((0.1949/12)*(1 + 0.1949/12)^(12*2))/((1 + 0.1949/12)^(12*2) - 1) P = 160.99771204627 P = 161 So we know Payment per period: P = $161 Number of periods: n*t = 12*2 = 24 Total Amount Paid = (Payment per period)*(Number of periods) = ($161)*(24) = $3864 Total Cost is $3864.00

  62. murrcat
    • one year ago
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    Thank you so much! I submitted it now and the Sakura one was 637.13

  63. jim_thompson5910
    • one year ago
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    thanks, I'll have to go back over that and think how they got that

  64. jim_thompson5910
    • one year ago
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    oh what was the answer to "Alex purchased a bedroom set for..." I don't think we got that either...hmm

  65. murrcat
    • one year ago
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    It was $1,884.74

  66. jim_thompson5910
    • one year ago
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    Ok I figured it out. Here's how it works. The rules are that if you pay off the entire balance (this is a big IF), then NO interest will apply. So if you manage to pay off the entire balance of $2,276 within 6 months (the deferred interest period), then you will be charged NO interest at all. However, companies know very well that the majority of the people will not be able to pay off the entire balance within 6 months. So this is when they retroactively charge interest to make a lot of money. So Alex could have made payments to fully pay off the $2,276 debt within 6 months...BUT...Alex made payments of $112 for 6 months, which means he really only paid 6*112 = 672 dollars toward the balance and he's nowhere close to paying off the entire balance of $2,276 So here's what happens a) Alex did make 6 payments of $112 or $672 total over 6 months. So subtract this from the initial balance to get: 2,276 - 672 = 1604. Notice how the balance is not $0. So the balance was not paid for in full. If it was $0, then Alex can walk away without having to make any more payments. It's not $0, so we move onto b) b) Because the balance was NOT paid in full by the end of the 6 month deferment period, this means that interest is applied for every month in the 6 month deferment period. All of this is applied to the initial balance and payments are not factored in (yet). So, P*(1+r/n)^(n*t) = 2276*(1+0.2349/12)^(12*6/12) = 2,556.74 c) The balance is now 2,556.74 dollars. This would be the final answer if Alex did not make any payments at all during this 6 month period. However, alex did make monthly payments of $112 and he paid the company $672 so far. So that is subtracted from the balance to get 2,556.74 - 672 = 1,884.74 So that explains why the remaining balance after the 6 month deferment period is $1,884.74 The same basic steps are applied to the problem with Sakura as well.

  67. murrcat
    • one year ago
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    Yeah, that's what I did

  68. murrcat
    • one year ago
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    For the Alex one

  69. jim_thompson5910
    • one year ago
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    ok great, glad you figured it out

  70. murrcat
    • one year ago
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    Hey sorry to bother you but theres a question just like the Alex one Farrah installed a new pool for $14,730 using a 12-month deferred payment plan with an interest rate of 19.33%. What is the balance after the deferment period if payments of $527 are made each month? $14,370.00 $17,843.62 $8,046.00 $11,519.62 My brother tried to do this with me and he got $8046.00 whereas I got $11,519.62 I did exactly what you said for the Alex question like 14730(1+0.1933/12)^(12*12/12) = 17843.62 THEN I took 527*12months and got 6324 Subtracted 17843.62 - 6324 = 11519.62 I'm pretty confident with my answer but my brother is telling me I'm wrong?

  71. jim_thompson5910
    • one year ago
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    your brother would be right if the interest wasn't applied retroactively, but it is

  72. jim_thompson5910
    • one year ago
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    $11,519.62 is the correct answer

  73. jim_thompson5910
    • one year ago
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    it would be nice if it was as simple as saying initial balance - (# of months)*(payment per month) 14730-12*527 8,406 but it's not that simple and that trap is thrown in there to catch students off guard

  74. murrcat
    • one year ago
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    Ah okay, thanks :) again!

  75. jim_thompson5910
    • one year ago
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    yw

  76. murrcat
    • one year ago
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    Garrett is graduating from college in twelve months, but he will need a loan in the amount of $6,785 for his last two semesters. He may either receive an unsubsidized Stafford Loan with an interest rate of 6.8%, compounded monthly, or his parents may get a PLUS Loan with an interest rate of 7.8%, compounded monthly. The Stafford Loan has a grace period of six months from the time of graduation. Which loan will have a higher balance at the time of repayment and by how much? The PLUS Loan has a higher balance by $72.54. The PLUS Loan has a higher balance by $112.83. The Stafford Loan has a higher balance by $177.86. The Stafford Loan has a higher balance by $250.40 Is C the right answer?

  77. jim_thompson5910
    • one year ago
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    Stafford Loan A = P(1+r/n)^(n*t) A = 6785(1+0.068/12)^(12*1.5) A = 7511.43390604005 A = 7511.43 ------------------------------- PLUS Loan A = P(1+r/n)^(n*t) A = 6785(1+0.078/12)^(12*1) A = 7333.56596333002 A = 7333.57 ------------------------------- The Stafford Loan has the higher balance Difference: 7511.43 - 7333.57 = 177.86 So C is definitely the correct answer

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