What is the market price of a $1,000, 9 percent bond paying a semiannual coupon if comparable market interest rates drop to 6 percent and the bond matures in 15 years? (Hint: Use Appendix A-2 and Appendix A-4.) Round Present Value of a Single Amount and Present Value of a Series of Equal Amounts in intermediate calculations to four decimal places. Round your answer to the nearest dollar. $

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Appendix A-2 Present Value of a Single Amount ($1) (Used to Compute the Discounted Present Value of Some
Known Future Single Lump Sum)
1%
7%
8%
20%
0.8333
0.6944
1
0.9901
2 0.9803 0.9612
3 0.9706
4
0.9610
0.9423
0.9238
0.9057
0.8880
5 0.9515
6
0.9420
0.8375
0.7903
0.7050 0.6663 0.6302
7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470
8
9
2% 3% 4% 5% 6%
9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19%
0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.89 29 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403
0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8116 0.7972 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062
0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.71 18 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787
0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5718 0.5523 0.5337 0.5158 0.4987 0.4823
0.8626 0.82 19 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4972 0.4761 0.4561 0.4371 0.4190 0.4019
0.7462
0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4323 0.4104 0.3898 0.3704 0.3521 0.3349
0.5132 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791
0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269 0.3050 0.2848 0.2660 0.2487 0.2326
0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843 0.2630 0.2434 0.2255 0.2090 0.1938
10 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472 0.2267 0.2080 0.1911 0.1756 0.1615
11 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 0.2875 0.2607 0.2366 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346
12 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122
13 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935
14 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779
15 0.8613 0.7430 0.6419 0.5553 0.48 10 0.4173 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649
0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.1069 0.0930 0.0811 0.0708 0.06 18 0.0541
0.8444
0.6050
0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.09 29 0.0802 0.0693 0.0600 0.05 20
18 0.8360
0.4155
0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437
0.3957
0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367
0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240
0.1037 0.0868 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308
0.4388
0.3589 0.2942 0.2415 0.1987 0.1637 0.1351 0.1117 0.0926
0.0768 0.0638 0.0531 0.0443
0.0370 0.0309 0.0259 0.0217
0.4220 0.3418 0.2775 0.2257 0.1839 0.1502 0.1228 0.1007 0.0826 0.0680 0.0560 0.0462 0.0382 0.03 16 0.0262 0.0218 0.0181
0.4057 0.3256 0.2618 0.2109 0.1703 0.1378 0.1117 0.0907 0.0738 0.0601 0.0491 0.0402 0.03 29 0.0270 0.0222 0.0183 0.0151
24 0.7876 0.6217 0.4919 0.3901 0.3101 0.2470 0.1971 0.1577
0.1015 0.0817 0.0659 0.0532 0.0431
0.0349
0.0284 0.0231 0.0188 0.0154 0.0126
25 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460
0.0736 0.0588 0.0471 0.0378 0.0304 0.0245 0.0197 0.0160 0.0129 0.0105
0.4637 0.3607 0.2812 0.2198 0.1722 0.1352 0.1064 0.0839 0.0663 0.0525 0.0417 0.0331 0.0264 0.0211 0.0169 0.0135 0.0109
0.4502 0.3468 0.2678 0.2074 0.1609 0.1252 0.0976 0.0763 0.0597 0.0469 0.0369 0.0291 0.0230 0.0182 0.0144 0.0115 0.0091 0.0073
0.4371 0.3335 0.2551 0.1956 0.1504 0.1159 0.0895 0.0693 0.0538 0.0419 0.03 26 0.0255 0.0200 0.0157 0.0123 0.0097 0.0077 0.0061
0.4243 0.3207 0.2429 0.1846 0.1406 0.1073 0.0822 0.0630 0.0485 0.0374 0.0289 0.0224 0.0174 0.0135 0.0105 0.0082 0.0064 0.0051
0.4120 0.3083 0.2314 0.1741 0.1314 0.0994 0.0754 0.0573 0.0437 0.0334 0.0256 0.0196 0.0151 0.0116 0.0090 0.0070 0.0054 0.0042
0.0972 0.0668 0.0460 0.03 18 0.0221 0.0154 0.0107 0.0075 0.0053 0.0037 0.0026 0.0019 0.0013 0.0010 0.0007
0.0543 0.0339 0.0213 0.0134 0.0085 0.0054 0.0035 0.0022 0.0014 0.0009 0.0006 0.0004
16
17
0.5134
0.7142
0.7002
0.0451
0.0376
0.5874
0.4936
0.3503 0.2959
19 0.8277 0.6864
0.5703
0.4746
0.3305 0.2765
0.0313
0.0261
0.8195
0.6730
0.8114 0.6598
0.8034 0.6468
23 0.7954 0.6342 0.5067
0.5537
0.5375
0.5219
0.1264
0.1160
0.0923
26 0.7720 0.5976
0.0087
27 0.7644 0.5859
28
0.7568 0.5744
0.7493 0.5631
29
0.7419
0.5521
0.6717
0.4529
0.3066
0.2083
0.14 20
0.6080 0.3715
0.2281
0.1407
0.0872
0.0003 0.0002 0.0001
n
20
21
22
30
40
50
Transcribed Image Text:Appendix A-2 Present Value of a Single Amount ($1) (Used to Compute the Discounted Present Value of Some Known Future Single Lump Sum) 1% 7% 8% 20% 0.8333 0.6944 1 0.9901 2 0.9803 0.9612 3 0.9706 4 0.9610 0.9423 0.9238 0.9057 0.8880 5 0.9515 6 0.9420 0.8375 0.7903 0.7050 0.6663 0.6302 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 8 9 2% 3% 4% 5% 6% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.89 29 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8116 0.7972 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.71 18 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5718 0.5523 0.5337 0.5158 0.4987 0.4823 0.8626 0.82 19 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4972 0.4761 0.4561 0.4371 0.4190 0.4019 0.7462 0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4323 0.4104 0.3898 0.3704 0.3521 0.3349 0.5132 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269 0.3050 0.2848 0.2660 0.2487 0.2326 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843 0.2630 0.2434 0.2255 0.2090 0.1938 10 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472 0.2267 0.2080 0.1911 0.1756 0.1615 11 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 0.2875 0.2607 0.2366 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346 12 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122 13 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935 14 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779 15 0.8613 0.7430 0.6419 0.5553 0.48 10 0.4173 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.1069 0.0930 0.0811 0.0708 0.06 18 0.0541 0.8444 0.6050 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.09 29 0.0802 0.0693 0.0600 0.05 20 18 0.8360 0.4155 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437 0.3957 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308 0.4388 0.3589 0.2942 0.2415 0.1987 0.1637 0.1351 0.1117 0.0926 0.0768 0.0638 0.0531 0.0443 0.0370 0.0309 0.0259 0.0217 0.4220 0.3418 0.2775 0.2257 0.1839 0.1502 0.1228 0.1007 0.0826 0.0680 0.0560 0.0462 0.0382 0.03 16 0.0262 0.0218 0.0181 0.4057 0.3256 0.2618 0.2109 0.1703 0.1378 0.1117 0.0907 0.0738 0.0601 0.0491 0.0402 0.03 29 0.0270 0.0222 0.0183 0.0151 24 0.7876 0.6217 0.4919 0.3901 0.3101 0.2470 0.1971 0.1577 0.1015 0.0817 0.0659 0.0532 0.0431 0.0349 0.0284 0.0231 0.0188 0.0154 0.0126 25 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.0736 0.0588 0.0471 0.0378 0.0304 0.0245 0.0197 0.0160 0.0129 0.0105 0.4637 0.3607 0.2812 0.2198 0.1722 0.1352 0.1064 0.0839 0.0663 0.0525 0.0417 0.0331 0.0264 0.0211 0.0169 0.0135 0.0109 0.4502 0.3468 0.2678 0.2074 0.1609 0.1252 0.0976 0.0763 0.0597 0.0469 0.0369 0.0291 0.0230 0.0182 0.0144 0.0115 0.0091 0.0073 0.4371 0.3335 0.2551 0.1956 0.1504 0.1159 0.0895 0.0693 0.0538 0.0419 0.03 26 0.0255 0.0200 0.0157 0.0123 0.0097 0.0077 0.0061 0.4243 0.3207 0.2429 0.1846 0.1406 0.1073 0.0822 0.0630 0.0485 0.0374 0.0289 0.0224 0.0174 0.0135 0.0105 0.0082 0.0064 0.0051 0.4120 0.3083 0.2314 0.1741 0.1314 0.0994 0.0754 0.0573 0.0437 0.0334 0.0256 0.0196 0.0151 0.0116 0.0090 0.0070 0.0054 0.0042 0.0972 0.0668 0.0460 0.03 18 0.0221 0.0154 0.0107 0.0075 0.0053 0.0037 0.0026 0.0019 0.0013 0.0010 0.0007 0.0543 0.0339 0.0213 0.0134 0.0085 0.0054 0.0035 0.0022 0.0014 0.0009 0.0006 0.0004 16 17 0.5134 0.7142 0.7002 0.0451 0.0376 0.5874 0.4936 0.3503 0.2959 19 0.8277 0.6864 0.5703 0.4746 0.3305 0.2765 0.0313 0.0261 0.8195 0.6730 0.8114 0.6598 0.8034 0.6468 23 0.7954 0.6342 0.5067 0.5537 0.5375 0.5219 0.1264 0.1160 0.0923 26 0.7720 0.5976 0.0087 27 0.7644 0.5859 28 0.7568 0.5744 0.7493 0.5631 29 0.7419 0.5521 0.6717 0.4529 0.3066 0.2083 0.14 20 0.6080 0.3715 0.2281 0.1407 0.0872 0.0003 0.0002 0.0001 n 20 21 22 30 40 50
Bond Selling Price
What is the market price of a $1,000, 9 percent bond paying a semiannual coupon if comparable market interest rates drop to 6 percent and the bond matures in 15 years? (Hint: Use Appendix A-2 and Appendix A-4.) Round Present Value of a Single Amount
and Present Value of a Series of Equal Amounts in intermediate calculations to four decimal places. Round your answer to the nearest dollar.
$
Transcribed Image Text:Bond Selling Price What is the market price of a $1,000, 9 percent bond paying a semiannual coupon if comparable market interest rates drop to 6 percent and the bond matures in 15 years? (Hint: Use Appendix A-2 and Appendix A-4.) Round Present Value of a Single Amount and Present Value of a Series of Equal Amounts in intermediate calculations to four decimal places. Round your answer to the nearest dollar. $
Expert Solution
Step 1

Information Provided:

  • Par value = $1000
  • Semi-Coupon Rate = 9%
  • Interest rate = 6%
  • Years = 15

 

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