How much total interest will Ashley pay over 10 years if she only makes minimum payments Scenario: Ashley decides to pay 500 total to her student loans each month. She continues the minimum payment on the loan with the lower interest rate and puts the rest of the $500 towards the higher interest rate loan until it's paid off. Then she puts all $500 towards the lower interest rate loan until it is paid off. a) How much total interest will Ashley pay in this scenario? b) How much does she save by increasing her payments in this way

Fundamentals of Financial Management (MindTap Course List)
15th Edition
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Eugene F. Brigham, Joel F. Houston
Chapter16: Working Capital Management
Section: Chapter Questions
Problem 8Q: Define each of the following loan terms, and explain how they are related to one another: the prime...
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1) How much total interest will Ashley pay over 10 years if she only makes minimum payments

Scenario: Ashley decides to pay 500 total to her student loans each month. She continues the minimum payment on the loan with the lower interest rate and puts the rest of the $500 towards the higher interest rate loan until it's paid off. Then she puts all $500 towards the lower interest rate loan until it is paid off.
a) How much total interest will Ashley pay in this scenario?
b) How much does she save by increasing her payments in this way
В
C
D
F
H
K
M
Formula Bar
For both loans:
Total of all payments:
Total interest paid
Loan Set #2
2$
30,996.78
$16,200
Total Loans
$8,131
$
6,665.78
0.0445
Annual Rate
0.0613
No. of periods per year
Rate per interest period
Duration (no. of periods)
Periodic Payment
12
12
0.003708333
0.005108333
120
120
167.5040411
90.80249982
Beginning Balance
Interest
Payment
Amount to Principal
Ending Balance
Beginning Balance
Interest
Pavment
Amount to Principal
Ending Balance
16,200.00 $
16,092.57 $
$
60.08 $
167.50 $
107.43 $
16,092.57
$
8,131.00 $
41.54 $
90.80 $
49.27 $
8,081.73
$
59.68 $
167.50 $
107.83 $
15,984.74
$
8,081.73 $
41.28 $
90.80 $
49.52 $
8,032.22
15,984.74 $
15,876.52 $
$
59.28 $
167.50 $
108.23 $
15,876.52
8,032.22 $
41.03 $
90.80 $
49.77 $
7,982.44
167.50 $
108.63 $
40.78 $
7,982.44 $
7,932.42 $
58.88 $
15,767.89
90.80 $
50.03 $
7,932.42
$
15,767.89 $
58.47 $
167.50 $
109.03 $
2$
40.52 $
90.80 $
50.28 $
50.54 $
15,658.86
7,882.14
2$
15,658.86 $
58.07 $
167.50 $
109.44 $
15,549.42
2$
7,882.14 $
40.26 $
90.80 $
7,831.60
15,549.42 $
15,439.58 $
57.66 $
90.80 $
50.80 $
51.06 $
167.50 $
109.84 $
110.25 $
15,439.58
7,831.60 $
40.01 $
7,780.80
$
57.26 $
167.50 $
15,329.33
7,780.80 $
39.75 $
90.80 $
7,729.75
15,329.33 $
15,218.67 $
7,729.75 $
7,678.43 $
7,626.85 $
56.85 $
167.50 $
110.66 $
111.07 $
39.49 $
39.22 $
15,218.67
90.80 $
51.32 $
7,678.43
$
56.44 $
167.50 $
15,107.60
2$
90.80 $
51.58 $
7,626.85
$
38.96 $
15,107.60 $
14,996.12 $
14,884.23 $
56.02 $
167.50 $
111.48 $
14,996.12
2$
90.80 $
51.84 $
7,575.01
$
55.61 $
167.50 $
111.89 $
14,884.23
7,575.01 $
38.70 $
90.80 $
52.11 $
7,522.90
$
55.20 $
167.50 $
112.31 $
14,771.92
2$
7,522.90 $
38.43 $
90.80 $
52.37 $
7,470.53
14,771.92 $
14,659.20 $
7,470.53 $
90.80 $
52.64 $
52.91 $
53.18 $
54.78 $
167.50 $
112.72 $
14,659.20
38.16 $
7,417.89
$
54.36 $
167.50 $
113.14 $
14,546.05
2$
7,417.89 $
37.89 $
90.80 $
7,364.98
14,546.05 $
53.94 $
167.50 $
113.56 $
37.62 $
37.35 $
14,432.49
7,364.98 $
90.80 $
7,311.80
14,432.49 $
14,318.51 $
14,204.10 $
53.52 $
167.50 $
113.98 $
14,318.51
7,311.80 $
90.80 $
53.45 $
7,258.35
$
53.10 $
167.50 $
114.41 $
14,204.10
7,258.35 $
37.08 $
90.80 $
53.72 $
7,204.63
$
52.67 $
52.25 $
167.50 $
114.83 $
$
7,204.63 $
36.80 $
90.80 $
54.00 $
54.27 $
14,089.27
7,150.63
$
14,089.27 $
13,974.02 $
13,858.33 $
167.50 $
115.26 $
13,974.02
7,150.63 $
36.53 $
90.80 $
7,096.35
$
51.82 $
167.50 $
115.68 $
13,858.33
7,096.35 $
36.25 $
90.80 $
54.55 $
7,041.80
54.83 $
55.11 $
$
7,041.80 $
6,986.97 $
51.39 $
167.50 $
116.11 $
13,742.22
35.97 $
90.80 $
6,986.97
$
13,742.22 $
50.96 $
167.50 $
116.54 $
13,625.68
2$
35.69 $
90.80 $
6,931.86
13,625.68 $
13,508.70 $
13,391.29 $
50.53 $
167.50 $
116.98 $
13,508.70
6,931.86 $
35.41 $
90.80 $
55.39 $
6,876.47
55.68 $
55.96 $
50.09 $
167.50 $
117.41 $
13,391.29
6,876.47 $
35.13 $
90.80 $
6,820.79
$
49.66 $
167.50 $
117.84 $
13,273.45
6,820.79 $
34.84 $
90.80 $
6,764.83
$
13,273.45 $
13,155.16 $
167.50 $
118.28 $
$
90.80 $
56.25 $
56.53 $
49.22 $
13,155.16
6,764.83 $
34.56 $
6,708.59
48.78 $
167.50 $
118.72 $
13,036.44
$
6,708.59 $
34.27 $
90.80 $
6,652.05
$
13,036.44 $
48.34 $
167.50 $
119.16 $
$
6,652.05 $
6,595.23 $
12,917.28
33.98 $
90.80 $
56.82 $
6,595.23
12,917.28 $
12,797.68 $
$
47.90 $
167.50 $
119.60 $
12,797.68
2$
33.69 $
90.80 $
57.11 $
6,538.12
120.05 $
6,538.12 $
6,480.72 $
6,423.02 $
6,365.03 $
$
47.46 $
167.50 $
12,677.64
2$
33.40 $
90.80 $
57.40 $
6,480.72
12,677.64 $
47.01 $
120.49 $
33.11 $
90.80 $
57.70 $
57.99 $
167.50 $
12,557.14
6,423.02
$
12,557.14 $
46.57 $
167.50 $
120.94 $
12,436.21
2$
32.81 $
90.80 $
6,365.03
12,436.21 $
46.12 $
167.50 $
121.39 $
12,314.82
32.51 $
90.80 $
58.29 $
6,306.74
12,314.82 $
12,192.98 $
45.67 $
121.84 $
6,306.74 $
32.22 $
90.80 $
58.59 $
58.88 $
167.50 $
12,192.98
6,248.15
45.22 $
6,248.15 $
6,189.27 $
$
167.50 $
122.29 $
12,070.69
2$
31.92 $
90.80 $
6,189.27
$
12,070.69 $
167.50 $
122.74 $
$
90.80 $
59.19 $
59.49 $
44.76 $
11,947.95
31.62 $
6,130.08
$
44.31 $
167.50 $
123.20 $
31.31 $
6,130.08 $
6,070.60 $
11,947.95 $
11,824.76
90.80 $
6,070.60
11,701.10
11,576.99
$
11,824.76 $
43.85 $
167.50 $
123.65 $
31.01 $
90.80 $
59.79 $
6,010.80
$
11,701.10 $
43.39 $
167.50 $
124.11 $
6,010.80 $
30.71 $
90.80 $
60.10 $
5,950.71
$
11,576.99 $
42.93 $
167.50 $
124.57 $
11,452.42
2$
5,950.71 $
30.40 $
90.80 $
60.40 $
5,890.30
11,452.42 $
11,327.38 $
11,201.88 $
42.47 $
167.50 $
125.03 $
11,327.38
2$
5,890.30 $
30.09 $
90.80 $
60.71 $
5,829.59
167.50 $
125.50 $
125.96 $
5,829.59 $
5,768.57 $
29.78 $
90.80 $
61.02 $
61.33 $
42.01 $
11,201.88
5,768.57
$
41.54 $
167.50 $
11,075.92
2$
29.47 $
90.80 $
5,707.23
5,707.23 $
5,645.58 $
$
11,075.92 $
41.07 $
167.50 $
126.43 $
10,949.49
$
29.15 $
90.80 $
61.65 $
5,645.58
$
10,949.49 $
10,822.59 $
40.60 $
167.50 $
126.90 $
10,822.59
28.84 $
90.80 $
61.96 $
5,583.62
$
127.37 $
$
28.52 $
28.20 $
40.13 $
167.50 $
10,695.22
5,583.62 $
90.80 $
62.28 $
5,521.34
$
10,695.22 $
10,567.38 $
39.66 $
167.50 $
127.84 $
10,567.38
5,521.34 $
90.80 $
62.60 $
5,458.74
39.19 $
167.50 $
128.32 $
10,439.06
5,458.74 $
27.89 $
90.80 $
62.92 $
5,395.83
Transcribed Image Text:В C D F H K M Formula Bar For both loans: Total of all payments: Total interest paid Loan Set #2 2$ 30,996.78 $16,200 Total Loans $8,131 $ 6,665.78 0.0445 Annual Rate 0.0613 No. of periods per year Rate per interest period Duration (no. of periods) Periodic Payment 12 12 0.003708333 0.005108333 120 120 167.5040411 90.80249982 Beginning Balance Interest Payment Amount to Principal Ending Balance Beginning Balance Interest Pavment Amount to Principal Ending Balance 16,200.00 $ 16,092.57 $ $ 60.08 $ 167.50 $ 107.43 $ 16,092.57 $ 8,131.00 $ 41.54 $ 90.80 $ 49.27 $ 8,081.73 $ 59.68 $ 167.50 $ 107.83 $ 15,984.74 $ 8,081.73 $ 41.28 $ 90.80 $ 49.52 $ 8,032.22 15,984.74 $ 15,876.52 $ $ 59.28 $ 167.50 $ 108.23 $ 15,876.52 8,032.22 $ 41.03 $ 90.80 $ 49.77 $ 7,982.44 167.50 $ 108.63 $ 40.78 $ 7,982.44 $ 7,932.42 $ 58.88 $ 15,767.89 90.80 $ 50.03 $ 7,932.42 $ 15,767.89 $ 58.47 $ 167.50 $ 109.03 $ 2$ 40.52 $ 90.80 $ 50.28 $ 50.54 $ 15,658.86 7,882.14 2$ 15,658.86 $ 58.07 $ 167.50 $ 109.44 $ 15,549.42 2$ 7,882.14 $ 40.26 $ 90.80 $ 7,831.60 15,549.42 $ 15,439.58 $ 57.66 $ 90.80 $ 50.80 $ 51.06 $ 167.50 $ 109.84 $ 110.25 $ 15,439.58 7,831.60 $ 40.01 $ 7,780.80 $ 57.26 $ 167.50 $ 15,329.33 7,780.80 $ 39.75 $ 90.80 $ 7,729.75 15,329.33 $ 15,218.67 $ 7,729.75 $ 7,678.43 $ 7,626.85 $ 56.85 $ 167.50 $ 110.66 $ 111.07 $ 39.49 $ 39.22 $ 15,218.67 90.80 $ 51.32 $ 7,678.43 $ 56.44 $ 167.50 $ 15,107.60 2$ 90.80 $ 51.58 $ 7,626.85 $ 38.96 $ 15,107.60 $ 14,996.12 $ 14,884.23 $ 56.02 $ 167.50 $ 111.48 $ 14,996.12 2$ 90.80 $ 51.84 $ 7,575.01 $ 55.61 $ 167.50 $ 111.89 $ 14,884.23 7,575.01 $ 38.70 $ 90.80 $ 52.11 $ 7,522.90 $ 55.20 $ 167.50 $ 112.31 $ 14,771.92 2$ 7,522.90 $ 38.43 $ 90.80 $ 52.37 $ 7,470.53 14,771.92 $ 14,659.20 $ 7,470.53 $ 90.80 $ 52.64 $ 52.91 $ 53.18 $ 54.78 $ 167.50 $ 112.72 $ 14,659.20 38.16 $ 7,417.89 $ 54.36 $ 167.50 $ 113.14 $ 14,546.05 2$ 7,417.89 $ 37.89 $ 90.80 $ 7,364.98 14,546.05 $ 53.94 $ 167.50 $ 113.56 $ 37.62 $ 37.35 $ 14,432.49 7,364.98 $ 90.80 $ 7,311.80 14,432.49 $ 14,318.51 $ 14,204.10 $ 53.52 $ 167.50 $ 113.98 $ 14,318.51 7,311.80 $ 90.80 $ 53.45 $ 7,258.35 $ 53.10 $ 167.50 $ 114.41 $ 14,204.10 7,258.35 $ 37.08 $ 90.80 $ 53.72 $ 7,204.63 $ 52.67 $ 52.25 $ 167.50 $ 114.83 $ $ 7,204.63 $ 36.80 $ 90.80 $ 54.00 $ 54.27 $ 14,089.27 7,150.63 $ 14,089.27 $ 13,974.02 $ 13,858.33 $ 167.50 $ 115.26 $ 13,974.02 7,150.63 $ 36.53 $ 90.80 $ 7,096.35 $ 51.82 $ 167.50 $ 115.68 $ 13,858.33 7,096.35 $ 36.25 $ 90.80 $ 54.55 $ 7,041.80 54.83 $ 55.11 $ $ 7,041.80 $ 6,986.97 $ 51.39 $ 167.50 $ 116.11 $ 13,742.22 35.97 $ 90.80 $ 6,986.97 $ 13,742.22 $ 50.96 $ 167.50 $ 116.54 $ 13,625.68 2$ 35.69 $ 90.80 $ 6,931.86 13,625.68 $ 13,508.70 $ 13,391.29 $ 50.53 $ 167.50 $ 116.98 $ 13,508.70 6,931.86 $ 35.41 $ 90.80 $ 55.39 $ 6,876.47 55.68 $ 55.96 $ 50.09 $ 167.50 $ 117.41 $ 13,391.29 6,876.47 $ 35.13 $ 90.80 $ 6,820.79 $ 49.66 $ 167.50 $ 117.84 $ 13,273.45 6,820.79 $ 34.84 $ 90.80 $ 6,764.83 $ 13,273.45 $ 13,155.16 $ 167.50 $ 118.28 $ $ 90.80 $ 56.25 $ 56.53 $ 49.22 $ 13,155.16 6,764.83 $ 34.56 $ 6,708.59 48.78 $ 167.50 $ 118.72 $ 13,036.44 $ 6,708.59 $ 34.27 $ 90.80 $ 6,652.05 $ 13,036.44 $ 48.34 $ 167.50 $ 119.16 $ $ 6,652.05 $ 6,595.23 $ 12,917.28 33.98 $ 90.80 $ 56.82 $ 6,595.23 12,917.28 $ 12,797.68 $ $ 47.90 $ 167.50 $ 119.60 $ 12,797.68 2$ 33.69 $ 90.80 $ 57.11 $ 6,538.12 120.05 $ 6,538.12 $ 6,480.72 $ 6,423.02 $ 6,365.03 $ $ 47.46 $ 167.50 $ 12,677.64 2$ 33.40 $ 90.80 $ 57.40 $ 6,480.72 12,677.64 $ 47.01 $ 120.49 $ 33.11 $ 90.80 $ 57.70 $ 57.99 $ 167.50 $ 12,557.14 6,423.02 $ 12,557.14 $ 46.57 $ 167.50 $ 120.94 $ 12,436.21 2$ 32.81 $ 90.80 $ 6,365.03 12,436.21 $ 46.12 $ 167.50 $ 121.39 $ 12,314.82 32.51 $ 90.80 $ 58.29 $ 6,306.74 12,314.82 $ 12,192.98 $ 45.67 $ 121.84 $ 6,306.74 $ 32.22 $ 90.80 $ 58.59 $ 58.88 $ 167.50 $ 12,192.98 6,248.15 45.22 $ 6,248.15 $ 6,189.27 $ $ 167.50 $ 122.29 $ 12,070.69 2$ 31.92 $ 90.80 $ 6,189.27 $ 12,070.69 $ 167.50 $ 122.74 $ $ 90.80 $ 59.19 $ 59.49 $ 44.76 $ 11,947.95 31.62 $ 6,130.08 $ 44.31 $ 167.50 $ 123.20 $ 31.31 $ 6,130.08 $ 6,070.60 $ 11,947.95 $ 11,824.76 90.80 $ 6,070.60 11,701.10 11,576.99 $ 11,824.76 $ 43.85 $ 167.50 $ 123.65 $ 31.01 $ 90.80 $ 59.79 $ 6,010.80 $ 11,701.10 $ 43.39 $ 167.50 $ 124.11 $ 6,010.80 $ 30.71 $ 90.80 $ 60.10 $ 5,950.71 $ 11,576.99 $ 42.93 $ 167.50 $ 124.57 $ 11,452.42 2$ 5,950.71 $ 30.40 $ 90.80 $ 60.40 $ 5,890.30 11,452.42 $ 11,327.38 $ 11,201.88 $ 42.47 $ 167.50 $ 125.03 $ 11,327.38 2$ 5,890.30 $ 30.09 $ 90.80 $ 60.71 $ 5,829.59 167.50 $ 125.50 $ 125.96 $ 5,829.59 $ 5,768.57 $ 29.78 $ 90.80 $ 61.02 $ 61.33 $ 42.01 $ 11,201.88 5,768.57 $ 41.54 $ 167.50 $ 11,075.92 2$ 29.47 $ 90.80 $ 5,707.23 5,707.23 $ 5,645.58 $ $ 11,075.92 $ 41.07 $ 167.50 $ 126.43 $ 10,949.49 $ 29.15 $ 90.80 $ 61.65 $ 5,645.58 $ 10,949.49 $ 10,822.59 $ 40.60 $ 167.50 $ 126.90 $ 10,822.59 28.84 $ 90.80 $ 61.96 $ 5,583.62 $ 127.37 $ $ 28.52 $ 28.20 $ 40.13 $ 167.50 $ 10,695.22 5,583.62 $ 90.80 $ 62.28 $ 5,521.34 $ 10,695.22 $ 10,567.38 $ 39.66 $ 167.50 $ 127.84 $ 10,567.38 5,521.34 $ 90.80 $ 62.60 $ 5,458.74 39.19 $ 167.50 $ 128.32 $ 10,439.06 5,458.74 $ 27.89 $ 90.80 $ 62.92 $ 5,395.83
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