Question: Problem 1.Sample amortization loan situation: Suppose you obtain a 4-year car loan for $12,000 at 9.4% annual interest. What are your monthly payments? How much

Problem 1.Sample amortization loan situation:

Suppose you obtain a 4-year car loan for $12,000 at 9.4% annual interest. What are your monthly payments? How much total interest do you pay? How much interest do you pay the first year? The answers to the questions above can be obtained from the worksheet constructed in steps (a) and (b) below.

(a). Build the worksheet indicated below. Notice that it has three sections - one for assumptions, one for calculations, and an amortization table.
A B C D E F
1 Problem 1
2
3
4 Loan Amount $12000.00
5 Rate 0.094
6 Compound Period 12
7 Time 4
8
9 Rate per. Period =B5/B6
10 Total No. of Payments =B6*B7
11 PMT =pmt(B9,B10,-B4)
12 Full Cost =B11*B10
13 Total Interest =B12-B4
14 Amortization Schedule
15 Interest Balance Unpaid Interest
16 PMT # PMT in Period Reduction Balance cum
17 =B4
18 =A17+1 =$B$11 =E17*$B$9 =B18-C18 =E17-D18 =F17+C18
19

(b.) Copy the range A18..F18 to the range A19..A65. Note the trick in cells A18 and cells F18 to obtain the first term. The table in cells A15.. F65 is called an Amortization Table or schedule. Notice that the PMT function computes the payment to be made during each period and that the total interest is obtained by subtracting the loan amount from the Full cost (total amount paid).

Discussion:In a textbox answer the questions posed in the sample problem using the worksheet developed in (a)-(b). Write the answers as if you were explaining the results to your boss. Print the range A1..H65 of the worksheet.

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