Kilgore Natural Gas has a $1,000 par value bond outstanding that pays 13 percent annual interest. The current yield to maturity on such bonds in the market is 15 percent. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. Compute the price of the bonds for these maturity dates: (Do not round intermediate calculations. Round your final answers to 2 decimal places. Assume interest payments are annual.) a. 30 years b. 16 years c. 7 year Bond Price
Kilgore Natural Gas has a $1,000 par value bond outstanding that pays 13 percent annual interest. The current yield to maturity on such bonds in the market is 15 percent. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. Compute the price of the bonds for these maturity dates: (Do not round intermediate calculations. Round your final answers to 2 decimal places. Assume interest payments are annual.) a. 30 years b. 16 years c. 7 year Bond Price
Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 9P: Bond Valuation and Interest Rate Risk The Garraty Company has two bond issues outstanding. Both...
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Question
Please don't give image format
![Problem 10-6 Bond value [LO10-3]
Kilgore Natural Gas has a $1,000 par value bond outstanding that pays 13 percent annual interest. The current yield to maturity on
such bonds in the market is 15 percent. Use Appendix B and Appendix D for an approximate answer but calculate your final answer
using the formula and financial calculator methods.
Compute the price of the bonds for these maturity dates: (Do not round intermediate calculations. Round your final answers to 2
decimal places. Assume interest payments are annual.)
a. 30 years
b.
16 years
c.
7 year
Bond Price](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cfa4f04-40a2-41f3-8662-9f69080778f5%2F8ebbf9c0-51d9-4b83-ac08-fa78592e5ecd%2F33hwsco_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 10-6 Bond value [LO10-3]
Kilgore Natural Gas has a $1,000 par value bond outstanding that pays 13 percent annual interest. The current yield to maturity on
such bonds in the market is 15 percent. Use Appendix B and Appendix D for an approximate answer but calculate your final answer
using the formula and financial calculator methods.
Compute the price of the bonds for these maturity dates: (Do not round intermediate calculations. Round your final answers to 2
decimal places. Assume interest payments are annual.)
a. 30 years
b.
16 years
c.
7 year
Bond Price
![Period
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
88888
25
30
40
50
Period
1
2
3
4
5
7
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
1%
0.990
0.980
40
50
0.971
0.961
0.951
0.942
0.933
0.923
0.914
0.905
0.896
0.887
0.879
0.870
0.861
0.853
0.844
0.836
0.828
0.820
0.780
0.742
0.672
0.608
2%
0.980
0.961
0.942
0.924
0.906
0.888
0.871
0.853
0.837
0.125
0.111
0.098
0.820
0.804
0.788
0.087
0.047
0.026
0.773
0.758
0.743
0.728
Appendix B (concluded) Present value of $1
0.714
0.700
0.686
0.673
0.610
0.552
0.453
0.372
0.333
0.308
0.295 0.270
0.261 0.237
0.231 0.208
0.204 0.182
3%
0.971
0.943
0.915
0.888
0.863
0.837
0.813
0.789
0.766
0.744
0.722
0.701
0.108
0.095
0.083
0.681
0.661
0.642
0.623
0.605
0.587
0.570
0.554
0.478
0.412
0.073
0.038
0.020
0.307
0.228
0.181 0.160 0.141
0.140
0.123
0.160
0.123
0.107
0.141
0.008
0.005
0.002 0.001
13%
14%
15% 16%
0.885 0.877 0.870 0.862
0.783 0.769 0.756 0.743
0.693 0.675 0.658
0.641
0.613 0.592 0.572 0.552
0.543 0.519 0.497
0.476
0.480 0.456 0.432
0.425
0.400
0.376
0.351
4%
0.962
0.925
0.889
0.855
0.822
0.790
0.760
0.731
0.703
0.676
0.650
0.625
0.601
0.577
0.555
0.534
0.513
0.494
0.475
0.456
0.375
0.308
0.208
0.141
5%
0.952
0.907
0.864
0.823
0.784
0.746
0.711
0.677
0.645
0.614
0.585
0.557
0.530
0.505
0.481
0.458
0.436
0.416
0.396
0.377
0.295
0.231
0.142
0.087
0.003
0.001 0
0.943
0.890
0.840
0.792
0.747
0.705
0.665
0.627
0.592
Percent
0.558
0.527
0.497
0.043
0.020
0.009
0.002
0.469
0.442
0.417
0.394
0.371
0.350
0.331
0.312
0.233
0.174
0.097
0.054
0.390 0.370
0.314
18%
17%
0.855
0.847
0.731 0.718
0.624 0.609 0.593
0.534
0.515
0.456 0.437
0.093 0.080 0.069 0.060
0.051
0.081 0.069 0.059
0.070 0.060 0.051
0.043
0.061 0.051
0.030 0.024
0.015 0.012
0.004
0.001
7%
0.935
0.873
0.037
0.016
0.007
0.001
0
0.816
0.763
0.713
0.666
0.623
0.582
0.544
0.508
0.475
0.444
0.415
0.388
0.362
0.339
0.317
0.296
0.277
0.258
0.184
0.131
0.067
0.034
0.410
0.354 0.333
0.305 0.285 0.266
0.376
0.327
0.284 0.263 0.243 0.225
0.247
0.227
0.208 0.191
0.215 0.195 0.178
0.162
0.187 0.168 0.152 0.137
0.163 0.145 0.130 0.116
0.099
0.088
0.125 0.111
0.108 0.095
0.093 0.081
0.084 0.074
0.071
0.062
Percent
19%
0.840
0.706
0.499
0.419
0.352
0.296
0.249
20%
0.833
0.694
0.052
0.044
0.037
0.579
0.482
0.402
0.194
0.162
0.078
0.065
0.054
8%
0.926
0.857
0.794
0.735
0.681
0.630
0.045
0.038
0.031
0.583
0.540
0.500
0.031
0.026
0.013
0.010
0.005 0.004
0.001
0.001
0
0
0.463
0.429
0.397
0.368
0.340
0.315
0.292
0.335
0.262
0.279
0.210
0.233 0.168
0.134
0.107
0.209
0.176
0.148 0.135 0.086
0.112
0.124
0.104
0.093
0.270
0.250
0.232
0.215
0.146
0.099
0.046
0.021
Copyright 2019 © McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
25%
0.800
0.640
0.512
0.410
0.328
9%
0.917
0.842
0.772
0.708
0.650
0.596
0.012
0.004
0.001
0
0
0.547
0.502
0.460
0.422
0.388
0.356
0.326
0.299
0.275
0.252
0.231
0.212
0.194
0.178
0.116
0.075
0.032
0.013
0.207
0.159
0.123
10%
0.909
0.826
0.094
0.073
0.056
0.043
0.069
0.055 0.033
0.044
0.035
0.028
0.023
0.018
0.014
0.751
0.683
0.621
0.564
0.513
0.467
0.424
0.386
0.350
0.319
0.290
0.263
0.239
0.218
0.198
0.180
0.164
0.149
0.092
0.057
0.022
0.009
11%
0.901
0.812
0.037
0.027
0.020
0.731
0.659
0.593
0.535
od do 00
0.482
0.434
0.391
0.002
0.352
0.317
0.286
0.258
0.232
0.209
0.188
30%
0.769
0.592
0.455
0.406 0.364
0.350
0.301
0.260
0.269 0.223
0.186
0.001
0.170
0.153
0.138
35%
0.741
0.549 0.510
0.124
0.074
0.044
0.015
0.005
0.165
0.133
0.122 0.095
0.091 0.068
0.067
0.050
40%
0.714
0.025 0.015 0.009
0.020
0.011 0.006
0.015
0.008 0.005
0.012
0.003
0.006
0.005 0.002
0.009
0.007
0.003 0.002
0.005
0.001
0
0
0
0.048
0.035
0.025
0.018
0.013
0.001
0
0
12%
0.893
0.797
0
0
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
0.287
0.257
0.229
0.205
0.183
0.163
0.146
0.130
0.116
0.104
0.059
0.033
0.011
0.003
50%
0.667
0.444
0.296
0.198
0.132
0.088
0.059
0.039
0.026
0.017
0.012
0.008
0.005
0.003
0.002
0.002
0.001
0.001
0
oooooo
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cfa4f04-40a2-41f3-8662-9f69080778f5%2F8ebbf9c0-51d9-4b83-ac08-fa78592e5ecd%2Fxsk045g_processed.png&w=3840&q=75)
Transcribed Image Text:Period
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
88888
25
30
40
50
Period
1
2
3
4
5
7
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
1%
0.990
0.980
40
50
0.971
0.961
0.951
0.942
0.933
0.923
0.914
0.905
0.896
0.887
0.879
0.870
0.861
0.853
0.844
0.836
0.828
0.820
0.780
0.742
0.672
0.608
2%
0.980
0.961
0.942
0.924
0.906
0.888
0.871
0.853
0.837
0.125
0.111
0.098
0.820
0.804
0.788
0.087
0.047
0.026
0.773
0.758
0.743
0.728
Appendix B (concluded) Present value of $1
0.714
0.700
0.686
0.673
0.610
0.552
0.453
0.372
0.333
0.308
0.295 0.270
0.261 0.237
0.231 0.208
0.204 0.182
3%
0.971
0.943
0.915
0.888
0.863
0.837
0.813
0.789
0.766
0.744
0.722
0.701
0.108
0.095
0.083
0.681
0.661
0.642
0.623
0.605
0.587
0.570
0.554
0.478
0.412
0.073
0.038
0.020
0.307
0.228
0.181 0.160 0.141
0.140
0.123
0.160
0.123
0.107
0.141
0.008
0.005
0.002 0.001
13%
14%
15% 16%
0.885 0.877 0.870 0.862
0.783 0.769 0.756 0.743
0.693 0.675 0.658
0.641
0.613 0.592 0.572 0.552
0.543 0.519 0.497
0.476
0.480 0.456 0.432
0.425
0.400
0.376
0.351
4%
0.962
0.925
0.889
0.855
0.822
0.790
0.760
0.731
0.703
0.676
0.650
0.625
0.601
0.577
0.555
0.534
0.513
0.494
0.475
0.456
0.375
0.308
0.208
0.141
5%
0.952
0.907
0.864
0.823
0.784
0.746
0.711
0.677
0.645
0.614
0.585
0.557
0.530
0.505
0.481
0.458
0.436
0.416
0.396
0.377
0.295
0.231
0.142
0.087
0.003
0.001 0
0.943
0.890
0.840
0.792
0.747
0.705
0.665
0.627
0.592
Percent
0.558
0.527
0.497
0.043
0.020
0.009
0.002
0.469
0.442
0.417
0.394
0.371
0.350
0.331
0.312
0.233
0.174
0.097
0.054
0.390 0.370
0.314
18%
17%
0.855
0.847
0.731 0.718
0.624 0.609 0.593
0.534
0.515
0.456 0.437
0.093 0.080 0.069 0.060
0.051
0.081 0.069 0.059
0.070 0.060 0.051
0.043
0.061 0.051
0.030 0.024
0.015 0.012
0.004
0.001
7%
0.935
0.873
0.037
0.016
0.007
0.001
0
0.816
0.763
0.713
0.666
0.623
0.582
0.544
0.508
0.475
0.444
0.415
0.388
0.362
0.339
0.317
0.296
0.277
0.258
0.184
0.131
0.067
0.034
0.410
0.354 0.333
0.305 0.285 0.266
0.376
0.327
0.284 0.263 0.243 0.225
0.247
0.227
0.208 0.191
0.215 0.195 0.178
0.162
0.187 0.168 0.152 0.137
0.163 0.145 0.130 0.116
0.099
0.088
0.125 0.111
0.108 0.095
0.093 0.081
0.084 0.074
0.071
0.062
Percent
19%
0.840
0.706
0.499
0.419
0.352
0.296
0.249
20%
0.833
0.694
0.052
0.044
0.037
0.579
0.482
0.402
0.194
0.162
0.078
0.065
0.054
8%
0.926
0.857
0.794
0.735
0.681
0.630
0.045
0.038
0.031
0.583
0.540
0.500
0.031
0.026
0.013
0.010
0.005 0.004
0.001
0.001
0
0
0.463
0.429
0.397
0.368
0.340
0.315
0.292
0.335
0.262
0.279
0.210
0.233 0.168
0.134
0.107
0.209
0.176
0.148 0.135 0.086
0.112
0.124
0.104
0.093
0.270
0.250
0.232
0.215
0.146
0.099
0.046
0.021
Copyright 2019 © McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
25%
0.800
0.640
0.512
0.410
0.328
9%
0.917
0.842
0.772
0.708
0.650
0.596
0.012
0.004
0.001
0
0
0.547
0.502
0.460
0.422
0.388
0.356
0.326
0.299
0.275
0.252
0.231
0.212
0.194
0.178
0.116
0.075
0.032
0.013
0.207
0.159
0.123
10%
0.909
0.826
0.094
0.073
0.056
0.043
0.069
0.055 0.033
0.044
0.035
0.028
0.023
0.018
0.014
0.751
0.683
0.621
0.564
0.513
0.467
0.424
0.386
0.350
0.319
0.290
0.263
0.239
0.218
0.198
0.180
0.164
0.149
0.092
0.057
0.022
0.009
11%
0.901
0.812
0.037
0.027
0.020
0.731
0.659
0.593
0.535
od do 00
0.482
0.434
0.391
0.002
0.352
0.317
0.286
0.258
0.232
0.209
0.188
30%
0.769
0.592
0.455
0.406 0.364
0.350
0.301
0.260
0.269 0.223
0.186
0.001
0.170
0.153
0.138
35%
0.741
0.549 0.510
0.124
0.074
0.044
0.015
0.005
0.165
0.133
0.122 0.095
0.091 0.068
0.067
0.050
40%
0.714
0.025 0.015 0.009
0.020
0.011 0.006
0.015
0.008 0.005
0.012
0.003
0.006
0.005 0.002
0.009
0.007
0.003 0.002
0.005
0.001
0
0
0
0.048
0.035
0.025
0.018
0.013
0.001
0
0
12%
0.893
0.797
0
0
0.712
0.636
0.567
0.507
0.452
0.404
0.361
0.322
0.287
0.257
0.229
0.205
0.183
0.163
0.146
0.130
0.116
0.104
0.059
0.033
0.011
0.003
50%
0.667
0.444
0.296
0.198
0.132
0.088
0.059
0.039
0.026
0.017
0.012
0.008
0.005
0.003
0.002
0.002
0.001
0.001
0
oooooo
0
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