Determine the present value of the bonds at issuance.

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
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On December​ 31, 2018, when the market interest rate is 16%, McMann Realty issues $300,000 of 14.25%, 10-year bonds payable. The bonds pay interest semiannually. Determine the present value of the bonds at issuance.

S14A-14 (similar to)
Question Help
On December 31, 2018, when the market interest rate is 16%, McMann Realty issues $300,000 of 14.25%, 10-year
bonds payable. The bonds pay interest semiannually. Determine the present value of the bonds at issuance. (Round all
currency amounts to the nearest whole dollar.)
(Click the icon to view Present Value of $1 table.)
(Click the icon to view Present Value of Ordinary
Annuity of $1 table.)
(Click the icon to view Future Value of $1 table.)
(Click the icon to view Future Value of Ordinary Annuity
of $1 table.)
The present value of the bonds at issuance amounts to
Transcribed Image Text:S14A-14 (similar to) Question Help On December 31, 2018, when the market interest rate is 16%, McMann Realty issues $300,000 of 14.25%, 10-year bonds payable. The bonds pay interest semiannually. Determine the present value of the bonds at issuance. (Round all currency amounts to the nearest whole dollar.) (Click the icon to view Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of $1 table.) (Click the icon to view Future Value of $1 table.) (Click the icon to view Future Value of Ordinary Annuity of $1 table.) The present value of the bonds at issuance amounts to
Present Value of $1
Periods
Period 1
Period 2
Period 3
Period 4
Period 5
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
12%
14%
15%
16%
0.990 0.980 0.971 0.962 0.952 | 0.943
0.980 0.961 0.943 0.925 0.907
0.971 0.942 0.915 0.889 0.864 0.840 | 0.816
0.961 0.924 0.888 0.855 0.823 | 0.792
0.951 0.906 0.863 0.822 0.784
0.917 0.909
0.842 0.826
0.772 0.751
0.708 0.683
0.650 0.621
0.870 0.862
0.769 0.756 0.743
0.712 0.675 0.658 | 0.641
0.636 0.5920.572 | 0.552
0.567 0.519 0.497 0.476
0.935
0.926
0.893
0.877
0.890
0.873
0.857
0.797
0.794
0.763
0.735
0.747 0.713
0.681
Period 6
Period 7
Period 8
Period 9
Period 10 0.905 0.820 0.744 0.676 | 0.614 0.558
0.942 0.888 0.837 0.790 0.746 | 0.705
0.933 0.871
0.923 0.853 0.789 0.731 0.677 0.627
0.914 0.837 0.766 0.703 0.645| 0.592
0.596 0.564
0.547 0.513
0.502 0.467
0.460 0.424
0.422 0.386
0.456 0.432 0.410
0.452 0.400 0.376 | 0.354
0.327 0.305
0.308 0.284 0.263
0.270 0.247 || 0.227
0.666
0.630
0.507
0.813 0.760 0.711
0.665 0.623
0.583
0.582
0.540
0.404
0.351
0.544
0.500
0.361
0.508
0.463
0.322
Period 11 0.896 0.804 | 0.722 0.650 0.585 0.527
Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444
Period 13 0.879 0.773 0.681 0.601 | 0.530 | 0.469
Period 14 0.870 0.758 | 0.661 | 0.577 0.505 0.442 | 0.388
Period 15 0.861 0.743 0.642 0.555 0.481
0.287 0.237 0.215 | 0.195
0.356 0.319 0.257 | 0.208 | 0.187 | 0.168
0.229 0.182 | 0.163 | 0.145
0.205 0.160 | 0.141 0.125
0.183 0.140 0.123 0.108
0.475
0.429 0.388 0.350
0.397
0.326 0.290
0.340 0.299 0.263
0.315 0.275 0.239
0.415
0.368
0.417 0.362
Period 16 0.853 0.728 0.623 0.534 0.458
Period 17 0.844| 0.714 0.605 0.513 0.436 0.371
Period 18 0.836 0.700 0.587 0.494 0.416 | 0.350 0.296
Period 19 0.828 0.686 0.570 0.475 0.396 0.331
Period 20 0.820 0.673 0.554 | 0.456 0.377
0.292 0.252 0.218
0.270 0.231 0.198
0.250 0.212 0.180
0.232 0.194 0.164
0.178 0.149
0.163 0.123 0.107 0.093
0.146 0.108 | 0.093 | 0.080
0.130 0.0950.081 | 0.069
0.083 0.070 0.060
0.394
0.339
0.317
0.277
0.116
0.312 0.258
0.215
0.104
0.073 0.061
0.051
Period 21 0.811 0.660 | 0.538 0.439 0.359
Period 22 0.803 0.647 0.522 0.422 0.342 0.278
Period 23 0.795| 0.634 | 0.507 0.406 0.326 | 0.262
Period 24 0.788 0.622 0.492 0.390 0.310
Period 25 0.780| 0.610 | 0.478 | 0.375 | 0.295
0.199 0.164 0.135
0.184 0.150 0.123
0.170 0.138 0.112
0.158 0.126 0.102
0.116 0.092
0.093 0.064 0.053 0.044
0.056 0.046 0.038
0.074 0.049 0.040 | 0.033
0.066 0.043 | 0.035 0.028
0.038 0.030 | 0.024
0.294
0.242
0.226
0.083
0.211
0.247 | 0.197
0.233
0.184
0.146
0.059
Transcribed Image Text:Present Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 0.990 0.980 0.971 0.962 0.952 | 0.943 0.980 0.961 0.943 0.925 0.907 0.971 0.942 0.915 0.889 0.864 0.840 | 0.816 0.961 0.924 0.888 0.855 0.823 | 0.792 0.951 0.906 0.863 0.822 0.784 0.917 0.909 0.842 0.826 0.772 0.751 0.708 0.683 0.650 0.621 0.870 0.862 0.769 0.756 0.743 0.712 0.675 0.658 | 0.641 0.636 0.5920.572 | 0.552 0.567 0.519 0.497 0.476 0.935 0.926 0.893 0.877 0.890 0.873 0.857 0.797 0.794 0.763 0.735 0.747 0.713 0.681 Period 6 Period 7 Period 8 Period 9 Period 10 0.905 0.820 0.744 0.676 | 0.614 0.558 0.942 0.888 0.837 0.790 0.746 | 0.705 0.933 0.871 0.923 0.853 0.789 0.731 0.677 0.627 0.914 0.837 0.766 0.703 0.645| 0.592 0.596 0.564 0.547 0.513 0.502 0.467 0.460 0.424 0.422 0.386 0.456 0.432 0.410 0.452 0.400 0.376 | 0.354 0.327 0.305 0.308 0.284 0.263 0.270 0.247 || 0.227 0.666 0.630 0.507 0.813 0.760 0.711 0.665 0.623 0.583 0.582 0.540 0.404 0.351 0.544 0.500 0.361 0.508 0.463 0.322 Period 11 0.896 0.804 | 0.722 0.650 0.585 0.527 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 Period 13 0.879 0.773 0.681 0.601 | 0.530 | 0.469 Period 14 0.870 0.758 | 0.661 | 0.577 0.505 0.442 | 0.388 Period 15 0.861 0.743 0.642 0.555 0.481 0.287 0.237 0.215 | 0.195 0.356 0.319 0.257 | 0.208 | 0.187 | 0.168 0.229 0.182 | 0.163 | 0.145 0.205 0.160 | 0.141 0.125 0.183 0.140 0.123 0.108 0.475 0.429 0.388 0.350 0.397 0.326 0.290 0.340 0.299 0.263 0.315 0.275 0.239 0.415 0.368 0.417 0.362 Period 16 0.853 0.728 0.623 0.534 0.458 Period 17 0.844| 0.714 0.605 0.513 0.436 0.371 Period 18 0.836 0.700 0.587 0.494 0.416 | 0.350 0.296 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 Period 20 0.820 0.673 0.554 | 0.456 0.377 0.292 0.252 0.218 0.270 0.231 0.198 0.250 0.212 0.180 0.232 0.194 0.164 0.178 0.149 0.163 0.123 0.107 0.093 0.146 0.108 | 0.093 | 0.080 0.130 0.0950.081 | 0.069 0.083 0.070 0.060 0.394 0.339 0.317 0.277 0.116 0.312 0.258 0.215 0.104 0.073 0.061 0.051 Period 21 0.811 0.660 | 0.538 0.439 0.359 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 Period 23 0.795| 0.634 | 0.507 0.406 0.326 | 0.262 Period 24 0.788 0.622 0.492 0.390 0.310 Period 25 0.780| 0.610 | 0.478 | 0.375 | 0.295 0.199 0.164 0.135 0.184 0.150 0.123 0.170 0.138 0.112 0.158 0.126 0.102 0.116 0.092 0.093 0.064 0.053 0.044 0.056 0.046 0.038 0.074 0.049 0.040 | 0.033 0.066 0.043 | 0.035 0.028 0.038 0.030 | 0.024 0.294 0.242 0.226 0.083 0.211 0.247 | 0.197 0.233 0.184 0.146 0.059
Expert Solution
Step 1

  Bond valuation is the process of finding the fair value of the bond. It means to find the present value of a stream of cash flows that it generates. The discounting factor determines the present value of the bond. It can be calculated as follows:

Market price=t=1nC1+YTMt+F1+YTMn

Where,

C = Periodic coupon payments

F = Face  value of the bond

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