Set up an amortization schedule for a $60,000 loan to be repaid in equal installments at the end of each of the next 20 years at an interest rate of 20%. What is the annual payment? After you input the data for each scenario, click on the Graph tab (second tab on the worksheet) and look at the Principal and Interest portions of the payments throughout the years.  What do you notice about the amount of Principal and Interest over the years (which amount is higher in the early years, and which amount is higher in the later years) of the loan?  What do you notice about the difference in Principal and Interest in the 10% scenarios compared to 20% scenarios?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Percentages need to be entered in decimal format, for instance 3% would be entered as .03 in cell B12.)

 

 

  1. Set up an amortization schedule for a $60,000 loan to be repaid in equal installments at the end of each of the next 20 years at an interest rate of 20%. What is the annual payment?
  2. After you input the data for each scenario, click on the Graph tab (second tab on the worksheet) and look at the Principal and Interest portions of the payments throughout the years.  What do you notice about the amount of Principal and Interest over the years (which amount is higher in the early years, and which amount is higher in the later years) of the loan?  What do you notice about the difference in Principal and Interest in the 10% scenarios compared to 20% scenarios?  
C04
GRAPH
INSTRUCTIONS
Chapter 4 Spreadsheet-Related Problem (C04)
Amortization Schedule
1. There are a number of instructions with which you should be familiar to use these
computerized models. These instructions appear in a separate worksheet labeled
INSTRUCTIONS. If you have not already done so, you should read these instructions now.
To read these instructions, click on the worksheet labeled INSTRUCTIONS.
2. A graph that shows the total payment, the interest component, and the principal
repayment component for the 20-year loan will be displayed if you click the worksheet
labeled GRAPH at the bottom of this spreadsheet. To return to this worksheet, click on the
worksheet labeled C04 at the bottom of the GRAPH worksheet.
3. Begin by arranging the worksheet so that Row 21 is the top line on the screen. This
permits you to see the input data and the amortization schedule simultaneously. Then put
the pointer on one of the input data cells, enter the new data, and watch the amortization
schedule change! Also, work the 20-year problem with interest rates of 3 percent and 25
percent, go to the graph and notice the difference in the size of the payments and the
difference in the breakdown between interest and principal.
4. Cells F25.F44 contain the present value of each annual payment discounted at the
appropriate interest rate. As you change the interest rate you can see what happens to
each discounted payment. The sum of this range is equal to the original amount of the loan.
INPUT DATA:
ΚΕY OUTPUT:
Loan amount
20,000
Payment
2,037.04
Interest rate
8.00%
Number of years
20
MODEL-GENERATED DATA:
Amortization schedule:
Remaining
Balance
Principal
PV of
Year
Рayment
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
2,037.04
Interest
Repayment
437.04
Рayments
1,886.15
1
1,600.00
1,565.04
1,527.28
1,486.49
1,442.45
1,394.88
1,343.51
1,288.03
19,562.96
19,090.95
18,581.18
18,030.63
17,436.04
16,793.87
16,100.34
15,351.32
14,542.39
13,668.73
12,725.19
11,706.16
10,605.61
9,417.01
8,133.33
472.01
1,746.44
1,617.07
3
509.77
4
550.55
1,497.29
1,386.38
1,283.68
1,188.60
1,100.55
1,019.03
594.59
642.16
7
693.53
8
749.02
1,228.11
1,163.39
1,093.50
1,018.01
808.94
10
873.65
943.55
11
943.55
873.65
1,019.03
1,100.55
1,188.60
1,283.68
1,386.38
1,497.29
1,617.07
1,746.44
12
808.94
13
936.49
749.02
14
848.45
693.53
15
753.36
642.16
16
650.67
6,746.95
594.59
5,249.66
3,632.59
1,886.15
17
539.76
550.55
18
419.97
509.77
19
290.61
472.01
0.00
1,886.15
20,000.00 -
20
2,037.04
40,740.88
150.89
437.04
20,000.00
20,740.88
Transcribed Image Text:C04 GRAPH INSTRUCTIONS Chapter 4 Spreadsheet-Related Problem (C04) Amortization Schedule 1. There are a number of instructions with which you should be familiar to use these computerized models. These instructions appear in a separate worksheet labeled INSTRUCTIONS. If you have not already done so, you should read these instructions now. To read these instructions, click on the worksheet labeled INSTRUCTIONS. 2. A graph that shows the total payment, the interest component, and the principal repayment component for the 20-year loan will be displayed if you click the worksheet labeled GRAPH at the bottom of this spreadsheet. To return to this worksheet, click on the worksheet labeled C04 at the bottom of the GRAPH worksheet. 3. Begin by arranging the worksheet so that Row 21 is the top line on the screen. This permits you to see the input data and the amortization schedule simultaneously. Then put the pointer on one of the input data cells, enter the new data, and watch the amortization schedule change! Also, work the 20-year problem with interest rates of 3 percent and 25 percent, go to the graph and notice the difference in the size of the payments and the difference in the breakdown between interest and principal. 4. Cells F25.F44 contain the present value of each annual payment discounted at the appropriate interest rate. As you change the interest rate you can see what happens to each discounted payment. The sum of this range is equal to the original amount of the loan. INPUT DATA: ΚΕY OUTPUT: Loan amount 20,000 Payment 2,037.04 Interest rate 8.00% Number of years 20 MODEL-GENERATED DATA: Amortization schedule: Remaining Balance Principal PV of Year Рayment 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 2,037.04 Interest Repayment 437.04 Рayments 1,886.15 1 1,600.00 1,565.04 1,527.28 1,486.49 1,442.45 1,394.88 1,343.51 1,288.03 19,562.96 19,090.95 18,581.18 18,030.63 17,436.04 16,793.87 16,100.34 15,351.32 14,542.39 13,668.73 12,725.19 11,706.16 10,605.61 9,417.01 8,133.33 472.01 1,746.44 1,617.07 3 509.77 4 550.55 1,497.29 1,386.38 1,283.68 1,188.60 1,100.55 1,019.03 594.59 642.16 7 693.53 8 749.02 1,228.11 1,163.39 1,093.50 1,018.01 808.94 10 873.65 943.55 11 943.55 873.65 1,019.03 1,100.55 1,188.60 1,283.68 1,386.38 1,497.29 1,617.07 1,746.44 12 808.94 13 936.49 749.02 14 848.45 693.53 15 753.36 642.16 16 650.67 6,746.95 594.59 5,249.66 3,632.59 1,886.15 17 539.76 550.55 18 419.97 509.77 19 290.61 472.01 0.00 1,886.15 20,000.00 - 20 2,037.04 40,740.88 150.89 437.04 20,000.00 20,740.88
C04
GRAPH
INSTRUCTIONS
5,000
4,000
Principal
3,000
Interest
2,000
1,000
1 2 3 4 5 6 7 8 9 1011 1213 14 15 16 1718 1920
CFIN4
© 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or
posted to a publicly accessible website, in whole or in part.
Transcribed Image Text:C04 GRAPH INSTRUCTIONS 5,000 4,000 Principal 3,000 Interest 2,000 1,000 1 2 3 4 5 6 7 8 9 1011 1213 14 15 16 1718 1920 CFIN4 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
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