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Suppose you borrowed $24,000 for 4 years with quarterly payments at an APR of 8%

ID: 2655680 • Letter: S

Question

Suppose you borrowed $24,000 for 4 years with quarterly payments at an APR of 8%. What is the quarterly payment?

Amortize the first four payments. Use the table below:

Payment number         Payment          Interest Principal          Remaining Balance

1                                  _______          _____              _______          _____________

2                                  _______          _____              _______          _____________

3                                  _______          _____              _______          _____________

4                                  _______          _____              _______          _____________

How much in interest will you pay over the life of the loan? __________

Explanation / Answer

Suppose you borrowed $24,000 for 4 years with quarterly payments at an APR of 8%. What is the quarterly payment?

Quarterly payment = pmt(rate,nper,pv,fv)

rate = 8%/4 =2%

nper = 4*4 = 16

pmt = ?

pv = 24000

fv = 0

Quarterly payment = pmt(2%,16,-24000,0)

Quarterly payment = $ 1767.60

Amortize the first four payments. Use the table below:

How much in interest will you pay over the life of the loan?

Total Amount Paid = 1767.60*16

Total Amount Paid = 28,281.60

Interest will you pay over the life of the loan = Total Amount Paid - Loan Amount

Interest will you pay over the life of the loan = 28281.60 - 24000

Interest will you pay over the life of the loan = $ 4281.60

Payment number         Payment          Interest Principal          Remaining Balance 1    1,767.60        480.00    1,287.60                     22,712.40 2    1,767.60        454.25    1,313.35                     22,686.65 3    1,767.60        453.73    1,313.87                     22,686.13 4    1,767.60        453.72    1,313.88                     22,686.12
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