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ID: 2590784 • Letter: P
Question
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Chino Co. developed a new sales gimmick to help sell its inventory of new automobiles. Because many new car buyers need financing, Sage 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 $28,600 automobile, making a downpayment of $680. 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, Chino Co. required a $349 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.
Explanation / Answer
a) Prepare a note amortization schedule for the first year. Date Cash Paid Interest Expense = 12%/4 Discount Amortized Carrying amount of loan 1/1/17 $27,920.00 4/1/17 $349.00 $837.60 $488.60 $28,408.60 7/1/17 $349.00 $852.26 $503.26 $28,911.86 10/1/17 $349.00 $867.36 $518.36 $29,430.21 1/1/18 $349.00 $882.91 $533.91 $29,964.12 b) The customer owes on the contract at the end of the first year $ $29,964.12 c) The new quarterly payments Principal $29,964.12 Rate = 12%/4 3.00% Period = 2 x 4 8 Quarterly Payments = PMT(3%,8,-29964.12) $4,268.58 d) d) Prepare a note amortization schedule for these new payments for the next 3 years. Date Cash Paid Interest Expense = 12%/4 Discount Amortized Carrying Amount of Loan 1/1/18 $29,964.12 4/1/18 $4,268.58 $898.92 $3,369.66 $26,594.46 7/1/18 $4,268.58 $797.83 $3,470.75 $23,123.72 10/1/18 $4,268.58 $693.71 $3,574.87 $19,548.85 1/1/19 $4,268.58 $586.47 $3,682.11 $15,866.73 4/1/19 $4,268.58 $476.00 $3,792.58 $12,074.15 7/1/19 $4,268.58 $362.22 $3,906.36 $8,167.80 10/1/19 $4,268.58 $245.03 $4,023.55 $4,144.25 1/1/20 $4,268.58 $124.33 $4,144.25 $0.00
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