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Bramble Inc. developed a new sales gimmick to help sell its inventory of new aut

ID: 2541028 • Letter: B

Question

Bramble Inc. developed a new sales gimmick to help sell its inventory of new automobiles. Because many new car buyers need financing, Bramble offered a low downpayment and low car payments for the first year after purchase. It believes that this promotion will bring in some new buyers.

On January 1, 2017, a customer purchased a new $29,400 automobile, making a downpayment of $840. The customer signed a note indicating that the annual rate of interest would be 12% and that quarterly payments would be made over 3 years. For the first year, Bramble required a $357 quarterly payment to be made on April 1, July 1, October 1, and January 1, 2018. After this one-year period, the customer was required to make regular quarterly payments that would pay off the loan as of January 1, 2020.

Prepare a note amortization schedule for the first year.

Date cash paid interest expense discount amortized carring amount of note

1/1/17

4/1/17

7/1/17

10/1/17

1/1/18

Indicate the amount the customer owes on the contract at the end of the first year. (Round answer to 0 decimal places, e.g. 38,548.)

Compute the amount of the new quarterly payments. (Round present value factor calculations to 5 decimal places, e.g. 1.25124 and the final answer to 0 decimal places e.g. 58,971.)

Prepare a note amortization schedule for these new payments for the next 2 years. (Round answers to 0 decimal places, e.g. 38,548.)

Date cash paid interest expense discount amortized carring amount of note

1/1/18

4/1/18

7/1/18

10/1/18

1/1/19

4/1/19

7/1/19

10/1/19

1/1/20

The customer owes on the contract at the end of the first year $

Explanation / Answer

Bramble Inc. Cost of new automobile $          29,400.00 Down Payment $                840.00 Carrying Amount $          28,560.00 Quartely Payament $                357.00 Date Cash Paid=(A) Interest Expense=(B) Discount Amortized=(C )=(B)-(A) Carrying amount of Note 1/1/2017 $                357.00 $                                  28,560 4/1/2017 $                357.00 $                                   882 $                                                        525 $                                  29,085 7/1/2017 $                357.00 $                                   873 $                                                        516 $                                  29,601 10/1/2017 $                357.00 $                                   888 $                                                        531 $                                  30,132 1/1/2018 $                357.00 $                                   904 $                                                        547 $                                  30,679 Interest Expense=($29400*12%*1/4) Carrying Amount 4/1/2017 28560+525 7/1/2017 29085+516 10/1/2017 29601+531 1/1/2018 30132+547 Customer owes on the contract at the end of first year =$30679,which is ($30679-$28560)=$2119 more than at the beginning of year To earn 12% in next two years Amount $          30,679.00 N=2*4= 8 Years Rate=(12%/4) 3% P.V of annuity (3% for 8 years) 7.02 New Quartely payment= Quartly Payment=($30679/6.210) $                   4,370 Aortization schedule for these new payment for next two years Date Cash Paid=(A) Interest Expense=(B) Discount Amortized=(C )=(B)-(A) Carrying amount of Note 1/1/2018 $                                  30,679 4/1/2018 $                   4,370 $                                   920 $                                                     3,450 $                                  27,229 7/1/2018 $                   4,370 $                                   817 $                                                     3,553 $                                  23,676 10/1/2018 $                   4,370 $                                   710 $                                                     3,660 $                                  20,016 1/1/2019 $                   4,370 $                                   600 $                                                     3,770 $                                  16,246 4/1/2019 $                   4,370 $                                   487 $                                                     3,883 $                                  12,363 7/1/2019 $                   4,370 $                                   371 $                                                     3,999 $                                    8,364 10/1/2019 $                   4,370 $                                   251 $                                                     4,119 $                                    4,245 1/1/2020 $                   4,370 $                                   127 $                                                     4,245 $                                          (0)

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