Phil Pittman is interested in a fixed-rate mortgage for $300,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.) (a) What are the monthly principal and interest payments (in $) for each loan? 15-year mortgage $________ 30-year mortgage $________ (b) What is the total amount of interest (in $) paid on each loan? 15-year mortgage$ _______ 30-year mortgage$ _______ (c) Overall, how much more interest (in $) is paid by choosing the 30-year mortgage? $
Phil Pittman is interested in a fixed-rate mortgage for $300,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.) (a) What are the monthly principal and interest payments (in $) for each loan? 15-year mortgage $________ 30-year mortgage $________ (b) What is the total amount of interest (in $) paid on each loan? 15-year mortgage$ _______ 30-year mortgage$ _______ (c) Overall, how much more interest (in $) is paid by choosing the 30-year mortgage? $
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
Problem 1PS
Related questions
Question
Phil Pittman is interested in a fixed-rate mortgage for $300,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.)
(a)
What are the monthly principal and interest payments (in $) for each loan?
15-year mortgage $________
30-year mortgage $________
(b)
What is the total amount of interest (in $) paid on each loan?
15-year mortgage$ _______
30-year mortgage$ _______
(c)
Overall, how much more interest (in $) is paid by choosing the 30-year mortgage?
$
![Table 14-1: Monthly Payments to Amortize Principal and Interest per $1,000 Financed
Monthly Payments
(Necessary to amortize a loan of $1,000)
Interest
Rate (%)
3.50
5
10
15
20
25
30
35
40
Years
Years
9.89
10.01
Years
Years
Years
Years
Years
Years
18.19
7.15
5.80
5.01
4.49
4.13
3.87
3.75
18.30
7.27
5.93
5.14
4.63
4.28
4.03
4.00
18.42
10.12
7.40
6.06
5.28
4.77
4.43
4.18
18.53
18.64
4.58
4.73
4.25
10.24
7.52
6.19
5.42
5.56
4.92
4.34
4.50
10.36
7.65
6.33
5.07
4.50
4.75
18.76
10.48
7.78
6.46
5.70
5.22
4.89
4.66
5.00
18.87
10.61
7.91
6.60
5.85
5.37
5.05
4.82
5.25
18.99
10.73
8.04
6.74
5.99
5.52
5.21
4.99
5.50
19.10
10.85
8.17
6.88
6.14
5.68
5.37
5.16
5.75
19.22
10.98
8.30
7.02
6.29
5.84
5.54
5.33
6.00
6.25
19.33
11.10
8.44
7.16
6.44
6.00
5.70
5.50
19.45
11.23
8.57
7.31
6.60
6.16
5.87
5.68
6.50
19.57
11.35
8.71
7.46
6.75
6.32
6.04
5.85
6.75
19.68
11.48
8.85
7.6
6.91
6.49
6.21
6.03
7.00
19.80
11.61
8.99
7.75
7.07
6.65
6.39
6.21
7.25
19.92
11.74
9.13
7.90
7.23
6.82
6.56
6.40
7.50
20.04
11.87
9.27
8.06
7.39
6.99
6.74
6.58
7.75
20.16
12.00
9.41
8.21
7.55
7.16
6.92
6.77
8.00
20.28
12.13
9.56
8.36
7.72
7.34
7.10
6.95
8.25
20.40
12.27
9.70
8.52
7.88
7.51
7.28
7.14
8.50
20.52
12.40
9.85
8.68
8.05
7.69
7.47
7.33
8.75
20.64
12.53
9.99
8.84
8.22
7,87
7.65
7.52
9.00
20.76
12.67
10.14
9.00
8.39
8.05
7.84
7.71
9.25
20.88
12.80
10.29
9.16
8.56
8.23
8.03
7.91
9.50
21.00
12.94
10.44
9.32
8.74
8.41
8.22
8.10
8.91
9.09
9.75
21.12
13.08
10.59
9.49
8.59
8.41
8.30
10.00
10.25
10.50
21.25
13.22
10.75
9.65
8.78
8.60
8.49
21.37
13.35
10.90
9.82
9.26
8.96
8.79
8.69
21.49
13.49
11.05
9.98
9.44
9.15
8.98
8.89
10.75
21.62
13.63
11.21
10.15
9.62
9.33
9.18
9.08
11.00
21.74
13.78
11.37
10.32
9.80
9.52
9.37
9.28
11.25
21.87
13.92
11.52
10.49
9.98
9.71
9.56
9.48
11.50
21.99
14.06
11.68
10.66
10.16
9.90
9.76
9.68
11.75
22.12
14.20
11.84
10.84
10.35
10.09
9.96
9.88
12.00
22.24
14.35
12.00
11.01
10.53
10.29
10.16
10.08
12.25
22.37
14.49
12.16
11.19
10.72
10.48
10.35
10.29
12.50
22.50
14.64
12.33
11.36
10.9
10.67
10.55
10.49
12.75
22.63
14.78
12.49
11.54
11.09
10.87
10.75
10.69
13.00
22.75
14.93
12.65
11.72
11.28
11.06
10.95
10.90](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe97796eb-eb4d-47be-b88d-98c91449bde4%2Ff05031a6-4fed-4f95-af06-f55802c1534f%2Fo19vjm_processed.png&w=3840&q=75)
Transcribed Image Text:Table 14-1: Monthly Payments to Amortize Principal and Interest per $1,000 Financed
Monthly Payments
(Necessary to amortize a loan of $1,000)
Interest
Rate (%)
3.50
5
10
15
20
25
30
35
40
Years
Years
9.89
10.01
Years
Years
Years
Years
Years
Years
18.19
7.15
5.80
5.01
4.49
4.13
3.87
3.75
18.30
7.27
5.93
5.14
4.63
4.28
4.03
4.00
18.42
10.12
7.40
6.06
5.28
4.77
4.43
4.18
18.53
18.64
4.58
4.73
4.25
10.24
7.52
6.19
5.42
5.56
4.92
4.34
4.50
10.36
7.65
6.33
5.07
4.50
4.75
18.76
10.48
7.78
6.46
5.70
5.22
4.89
4.66
5.00
18.87
10.61
7.91
6.60
5.85
5.37
5.05
4.82
5.25
18.99
10.73
8.04
6.74
5.99
5.52
5.21
4.99
5.50
19.10
10.85
8.17
6.88
6.14
5.68
5.37
5.16
5.75
19.22
10.98
8.30
7.02
6.29
5.84
5.54
5.33
6.00
6.25
19.33
11.10
8.44
7.16
6.44
6.00
5.70
5.50
19.45
11.23
8.57
7.31
6.60
6.16
5.87
5.68
6.50
19.57
11.35
8.71
7.46
6.75
6.32
6.04
5.85
6.75
19.68
11.48
8.85
7.6
6.91
6.49
6.21
6.03
7.00
19.80
11.61
8.99
7.75
7.07
6.65
6.39
6.21
7.25
19.92
11.74
9.13
7.90
7.23
6.82
6.56
6.40
7.50
20.04
11.87
9.27
8.06
7.39
6.99
6.74
6.58
7.75
20.16
12.00
9.41
8.21
7.55
7.16
6.92
6.77
8.00
20.28
12.13
9.56
8.36
7.72
7.34
7.10
6.95
8.25
20.40
12.27
9.70
8.52
7.88
7.51
7.28
7.14
8.50
20.52
12.40
9.85
8.68
8.05
7.69
7.47
7.33
8.75
20.64
12.53
9.99
8.84
8.22
7,87
7.65
7.52
9.00
20.76
12.67
10.14
9.00
8.39
8.05
7.84
7.71
9.25
20.88
12.80
10.29
9.16
8.56
8.23
8.03
7.91
9.50
21.00
12.94
10.44
9.32
8.74
8.41
8.22
8.10
8.91
9.09
9.75
21.12
13.08
10.59
9.49
8.59
8.41
8.30
10.00
10.25
10.50
21.25
13.22
10.75
9.65
8.78
8.60
8.49
21.37
13.35
10.90
9.82
9.26
8.96
8.79
8.69
21.49
13.49
11.05
9.98
9.44
9.15
8.98
8.89
10.75
21.62
13.63
11.21
10.15
9.62
9.33
9.18
9.08
11.00
21.74
13.78
11.37
10.32
9.80
9.52
9.37
9.28
11.25
21.87
13.92
11.52
10.49
9.98
9.71
9.56
9.48
11.50
21.99
14.06
11.68
10.66
10.16
9.90
9.76
9.68
11.75
22.12
14.20
11.84
10.84
10.35
10.09
9.96
9.88
12.00
22.24
14.35
12.00
11.01
10.53
10.29
10.16
10.08
12.25
22.37
14.49
12.16
11.19
10.72
10.48
10.35
10.29
12.50
22.50
14.64
12.33
11.36
10.9
10.67
10.55
10.49
12.75
22.63
14.78
12.49
11.54
11.09
10.87
10.75
10.69
13.00
22.75
14.93
12.65
11.72
11.28
11.06
10.95
10.90
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