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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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
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
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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