of a $1,000, 7 percent bond paying a semiannual coupon if comparable market interest rates drop to 6 percent and the bond matures in 15 years? eries 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.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
Bond Selling Price
What is the market price of a $1,000, 7 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, 7 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. $
Appendix A-4
A-4
n
9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%
2
6
8
7.6517 7.3255 7.0197 6.7327 6.4632 6.2098
8.5660 8.1622 7.7861 7.4353 7.1078 6.8017
7.7217 7.3601
8.3064 7.8869
10
11
9.4713 8.9826 8.5302 8.1109
10.3676 9.7868 9.2526 8.7605
12 11.2551 10.5753 9.9540
4.0310
4.1925
4.3271
4.4392
4.5327
4.6106
9.3851
8.8633
8.3838
13
9.9856
9.3936
8.8527
9.8986
9.2950
10.5631
11.1184 10.3797
4.6755
1%
2% 3%
4% 5% 6% 7% 8%
0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333
1.9704 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 1.7833 1.7591 1.7355 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 1.5278
3 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 2.1065
4 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.7432 2.6901 2.6386 2.5887
5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 3.1993 3.1272 3.0576 2.9906
5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.5892 3.4976 3.4098 3.3255
7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 3.6046
5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 3.8372
6.5152 6.2469 5.9952 5.7590 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.3030 4.1633
7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389
7.4987 7.1390 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.6560 4.4865
7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105
12.1337 11.3484 10.6350
8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424
5.5831 5.3423 5.1183 4.9095 4.7147
14 13.0037 12.1062
11.2961
8.7455 8.2442 7.7862 7.3667 6.98 19 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023
15 13.8651 12.8493 11.9379
9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759
16 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 7.3792 6.9740 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 4.7296
17 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 4.7746
18 16.3983 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178 5.5339 5.2732 5.0333 4.8122
17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 5.5845 5.3162 5.0700 4.8435
20 18.0456 16.3514 14.8775
13.5903
12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 4.8696
21 18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.8355 10.0168 9.2922 8.6487 8.0751 7.5620 7.1016 6.6870 6.3125 5.9731 5.6648 5.3837 5.1268 4.8913
22 19.6604 17.6580 15.9369
14.4511 13.1630
12.0416 11.0612 10.2007 9.4424 8.7715 8.1757 7.6446 7.1695 6.7429 6.3587 6.0113 5.6964 5.4099 5.1486
23 20.4558 18.2922 16.4436 14.8568
13.4886 12.3034 11.2722 10.3711 9.5802 8.8832 8.2664 7.7184 7.2297 6.7921 6.3988 6.0442 5.7234 5.4321 5.1668 4.9245
24 21.2434 18.9139 16.9355 15.2470 13.7986 12.5504 11.4693 10.5288 9.7066 8.9847 8.3481 7.7843 7.2829 6.8351 6.4338 6.0726 5.7465 5.4509 5.1822 4.9371
25 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0770 8.4217 7.8431 7.3300 6.8729 6.4641 6.0971 5.7662 5.4669 5.1951 4.9476
26 22.7952 20.1210 17.8768 15.9828 14.3752 13.0032 11.8258 10.8100 9.9290 9.1609 8.4881 7.8957 7.3717 6.9061 6.4906 6.1182 5.7831 5.4804 5.2060 4.9563
27 23.5596 20.7069 18.3270 16.3296 14.6430 13.2105 11.9867 10.9352 10.0266 9.2372 8.5478 7.9426 7.4086 6.9352 6.5135 6.1364 5.7975 5.4919 5.2151 4.9636
28 24.3164 21.2813 18.7641 16.6631 14.8981 13.4062 12.1371 11.0511 10.1161 9.3066 8.6016 7.9844 7.4412 6.9607 6.5335 6.1520 5.8099 5.5016 5.2228 4.9697
29 25.0658 21.8444 19.1885 16.9837 15.1411 13.5907 12.2777 11.1584 10.1983 9.3696 8.6501 8.0218 7.4701 6.9830 6.5509 6.1656 5.8204 5.5098 5.2292 4.9747
25.8077 22.3965 19.6004 17.2920 15.3725 13.7648
9.4269 8.6938
8.0552 7.4957 7.0027 6.5660 6.1772 5.8294 5.5168 5.2347 4.9789
32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.9511 8.2438 7.6344 7.1050 6.6418 6.2335 5.8713 5.5482 5.2582 4.9966
39.1961 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 9.0417 8.3045 7.6752 7.1327 6.6605 6.2463 5.8801 5.5541 5.2623 4.9995
19
4.9094
30
12.4090 11.2578 10.2737
40
50
1
Present Value of a Series of Equal Amounts (an Annuity of $1 Received at the End of Each Period)
(Used to Compute the Discounted Present Value of a Stream of Income Payments)
9
Transcribed Image Text:Appendix A-4 A-4 n 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 2 6 8 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 7.7217 7.3601 8.3064 7.8869 10 11 9.4713 8.9826 8.5302 8.1109 10.3676 9.7868 9.2526 8.7605 12 11.2551 10.5753 9.9540 4.0310 4.1925 4.3271 4.4392 4.5327 4.6106 9.3851 8.8633 8.3838 13 9.9856 9.3936 8.8527 9.8986 9.2950 10.5631 11.1184 10.3797 4.6755 1% 2% 3% 4% 5% 6% 7% 8% 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 1.9704 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 1.7833 1.7591 1.7355 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 1.5278 3 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 2.1065 4 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.7432 2.6901 2.6386 2.5887 5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 3.1993 3.1272 3.0576 2.9906 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.5892 3.4976 3.4098 3.3255 7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 3.6046 5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 3.8372 6.5152 6.2469 5.9952 5.7590 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.3030 4.1633 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389 7.4987 7.1390 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.6560 4.4865 7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105 12.1337 11.3484 10.6350 8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 5.1183 4.9095 4.7147 14 13.0037 12.1062 11.2961 8.7455 8.2442 7.7862 7.3667 6.98 19 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023 15 13.8651 12.8493 11.9379 9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759 16 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 7.3792 6.9740 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 4.7296 17 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 4.7746 18 16.3983 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178 5.5339 5.2732 5.0333 4.8122 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 5.5845 5.3162 5.0700 4.8435 20 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 4.8696 21 18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.8355 10.0168 9.2922 8.6487 8.0751 7.5620 7.1016 6.6870 6.3125 5.9731 5.6648 5.3837 5.1268 4.8913 22 19.6604 17.6580 15.9369 14.4511 13.1630 12.0416 11.0612 10.2007 9.4424 8.7715 8.1757 7.6446 7.1695 6.7429 6.3587 6.0113 5.6964 5.4099 5.1486 23 20.4558 18.2922 16.4436 14.8568 13.4886 12.3034 11.2722 10.3711 9.5802 8.8832 8.2664 7.7184 7.2297 6.7921 6.3988 6.0442 5.7234 5.4321 5.1668 4.9245 24 21.2434 18.9139 16.9355 15.2470 13.7986 12.5504 11.4693 10.5288 9.7066 8.9847 8.3481 7.7843 7.2829 6.8351 6.4338 6.0726 5.7465 5.4509 5.1822 4.9371 25 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0770 8.4217 7.8431 7.3300 6.8729 6.4641 6.0971 5.7662 5.4669 5.1951 4.9476 26 22.7952 20.1210 17.8768 15.9828 14.3752 13.0032 11.8258 10.8100 9.9290 9.1609 8.4881 7.8957 7.3717 6.9061 6.4906 6.1182 5.7831 5.4804 5.2060 4.9563 27 23.5596 20.7069 18.3270 16.3296 14.6430 13.2105 11.9867 10.9352 10.0266 9.2372 8.5478 7.9426 7.4086 6.9352 6.5135 6.1364 5.7975 5.4919 5.2151 4.9636 28 24.3164 21.2813 18.7641 16.6631 14.8981 13.4062 12.1371 11.0511 10.1161 9.3066 8.6016 7.9844 7.4412 6.9607 6.5335 6.1520 5.8099 5.5016 5.2228 4.9697 29 25.0658 21.8444 19.1885 16.9837 15.1411 13.5907 12.2777 11.1584 10.1983 9.3696 8.6501 8.0218 7.4701 6.9830 6.5509 6.1656 5.8204 5.5098 5.2292 4.9747 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 9.4269 8.6938 8.0552 7.4957 7.0027 6.5660 6.1772 5.8294 5.5168 5.2347 4.9789 32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.9511 8.2438 7.6344 7.1050 6.6418 6.2335 5.8713 5.5482 5.2582 4.9966 39.1961 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 9.0417 8.3045 7.6752 7.1327 6.6605 6.2463 5.8801 5.5541 5.2623 4.9995 19 4.9094 30 12.4090 11.2578 10.2737 40 50 1 Present Value of a Series of Equal Amounts (an Annuity of $1 Received at the End of Each Period) (Used to Compute the Discounted Present Value of a Stream of Income Payments) 9
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