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APPENDEX B: APPENDEX D: Interest Factors for the Present Value of One Dollar Time Period (e.g.. year) 1 4% 5% WN 1% .990 980 971
APPENDEX B:
APPENDEX D:
Interest Factors for the Present Value of One Dollar Time Period (e.g.. year) 1 4% 5% WN 1% .990 980 971 961 951 2% 3% 980 971 1962 1961 .943 925 1942 1915 889 .924 889 855 .906 863 822 952 .907 .864 .823 .784 6% 7% 943 .935 .890 .873 .840 816 .792 .763 .747 .713 8% .926 .857 .794 .735 .681 9% 917 .842 .772 .708 .650 10% 12% 14% 15% .909.893 .877 870 .826 .797 .769 .756 .751 .712 .675 .658 .683 .636 592 .572 .621 .567 519 497 16% .862 .743 .641 .552 476 18% .847 .718 .609 1516 437 20% .833 .694 .579 482 402 24% .806 .650 .524 423 .341 28% .781 .610 -477 -373 .291 4 5 7 8 9 10 942 933 923 .914 905 .888 838 790 .746 .705.666 630 .871 .813 .760 .711 .665.623 583 .853 .789 .731 677 627 582 .540 .837 .766 .703 645 592 544 .500 .820 .744 .676 614 558 508 463 596 -547 -502 460 422 564 507 1513 452 467 .404 424 361 .386 .322 .456 432 400 376 .351 327 .308 .284 270 247 410 .370 335 .354 .314 .279 .305 266 233 .263 226 .194 .227 .191 .162 .275 .222 .179 .144 .116 .227 .178 .139 .108 .085 11 12 13 14 15 .896 .887 .879 .870 .861 .804 .788 .773 .758 .743 .722 .701 .681 .661 .642 .650 .625 .601 .577 .555 .585 .557 .530 .505 .481 .527 .497 469 .442 .417 475 .444 415 388 362 .429 .397 .368 .340 .315 .388 .356 326 .299 .275 .350 .319 .290 .263 .239 .287 .257 .229 .205 .183 .237 .208 .182 .160 .140 .215 .187 .163 .141 .123 .195 .168 .145 .125 .108 .162 .137 .116 .099 .084 .135 .112 .093 .078 .065 .094 .076 .061 .049 .040 .066 .052 .040 .032 .025 16 17 18 19 20 .853 .844 .836 .828 .820 .728 .714 .700 .686 .673 .623 .605 .587 .570 .554 .534 .513 .494 475 456 .458 436 .416 396 377 .394 .371 350 .331 .312 339 .317 .296 .276 .258 .292 .270 .250 .232 .215 .252 .231 .212 .194 .178 .218 .198 .180 .164 .149 .163 .146 .130 .116 .104 .123 .107.093 071 .054 .032 .019 .108.093 .080 .060 .045 .026 .015 .095 .081 .069 .051 038 021 .012 .083 .070 ,060 .043 031 .017 .009 .073 .061 .051.037 .026 .014 .007 25 .780 .610 .478 .375 .295 .233 .184 .146 .116 .092 .059 .038 .030 .024 .016 .010 .005 .002 30 .742 .552 -412 308 .231 .174 .131 .099 .075 .057.033 .020 .015 .012 .007.004 .002 .001 You are given the following information concerning a noncallable, sinking fund debenture: Principal: $1,000 Coupon rate of interest: 7 percent Term to maturity: 15 years Sinking fund: 3 percent of outstanding bonds retired annually; the balance at maturity a. If you buy the bond today at its face amount and interest rates rise to 11 percent after four years have passed, what is your capital gain or loss? Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Use a minus sign to enter the loss amount, if any, as a negative value. Round your answer to the nearest dollar. $ b. If you hold the bond 15 years, what do you receive at maturity? -Select- c. What is the bond's current yield as of right now? Round your answer to the nearest whole number. % d. Given your price in a, what is the yield at maturity? Round your answer to the nearest whole number. % e. What proportion of the total debt issue is retired by the sinking fund? Round your answer to the nearest whole number. % f. If the final payment to retire this bond is $1,000,000, how much must the firm invest annually to accumulate this sum if the firm is able to earn 7 percent on the invested funds? Use Appendix C to answer the question. Round your answer to the nearest dollar. $ Interest Factors for the Present Value of an Annuity of One Dollar 2% 4% 6% Time Period (e.g. year) 1 2 3 4 5 1% 3% 5% 7% 8% 9% 10% 12% 14% 16% 18% 20% 24% 28% 32% 36% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.862 0.847 0.833 0.806 0.781 0.758 0.735 1.970 1.942 1913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.605 1.566 1.528 1.457 1.392 1.332 1.276 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.246 2.174 2.106 1.981 1.868 1.766 1674 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.798 2.690 2.589 2.404 2.241 2.096 1.966 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.274 3.127 2.991 2.745 2.532 2.345 2.181 6 7 8 5.795 5.601 5.417 5.242 5.076 4.917 4.766 4.623 4.486 4.355 4.111 3.889 3.685 3.498 3.326 3.020 2.759 2.534 2.399 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.039 3.812 3.605 3.242 2.937 2.678 2.455 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.344 4.078 3.837 3.421 3.076 2.786 2.540 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.985 5.759 5.328 4.946 4.607 4.303 4.031 3.566 3.184 2.868 2.603 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.650 5.216 4.833 4.494 4.193 3.682 3.269 2.930 2.650 10 11 12 13 14 15 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.988 5.453 5.029 4.656 4.327 3.776 3.335 2.978 2.683 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.197 4.793 4.439 3.851 3.387 3.013 2.708 12.134 11.348 10.635 9.986 9.394 8.534 8.358 7.904 7.487 7.103 6.424 5.842 5.342 4.910 4.533 3.912 3.427 3.040 2.727 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 5.468 5.008 4.611 3.962 3.459 3.061 2.740 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.060 7.606 6.811 6.142 5.575 5.092 4.675 4.001 3.483 3.076 2.750 16 17 18 19 20 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.312 7.824 6.974 6.265 5.669 5.162 4.730 4.003 3.503 3.088 2.758 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.002 7.120 6.373 5.749 5.222 4.775 4.059 3.518 3.097 2.763 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.2017.250 6.467 5.818 5.273 4.812 4.080 3.529 3.104 2.767 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 5.877 5.316 4.844 4.097 3.539 3.109 2.770 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.128 8.514 7.469 6.623 5.929 5.353 4.870 4.110 3.546 3.113 2.772 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 7.843 6.873 6.097 5.467 4.948 4.147 3.564 3.122 2.776 30 25.808 22.937 19.600 17.292 15.373 13.765 12.409 11.258 10.274 9.427 8.055 7.003 6.177 5.517 4.979 4.160 3.569 3.124 2.778 Interest Factors for the Present Value of One Dollar Time Period (e.g.. year) 1 4% 5% WN 1% .990 980 971 961 951 2% 3% 980 971 1962 1961 .943 925 1942 1915 889 .924 889 855 .906 863 822 952 .907 .864 .823 .784 6% 7% 943 .935 .890 .873 .840 816 .792 .763 .747 .713 8% .926 .857 .794 .735 .681 9% 917 .842 .772 .708 .650 10% 12% 14% 15% .909.893 .877 870 .826 .797 .769 .756 .751 .712 .675 .658 .683 .636 592 .572 .621 .567 519 497 16% .862 .743 .641 .552 476 18% .847 .718 .609 1516 437 20% .833 .694 .579 482 402 24% .806 .650 .524 423 .341 28% .781 .610 -477 -373 .291 4 5 7 8 9 10 942 933 923 .914 905 .888 838 790 .746 .705.666 630 .871 .813 .760 .711 .665.623 583 .853 .789 .731 677 627 582 .540 .837 .766 .703 645 592 544 .500 .820 .744 .676 614 558 508 463 596 -547 -502 460 422 564 507 1513 452 467 .404 424 361 .386 .322 .456 432 400 376 .351 327 .308 .284 270 247 410 .370 335 .354 .314 .279 .305 266 233 .263 226 .194 .227 .191 .162 .275 .222 .179 .144 .116 .227 .178 .139 .108 .085 11 12 13 14 15 .896 .887 .879 .870 .861 .804 .788 .773 .758 .743 .722 .701 .681 .661 .642 .650 .625 .601 .577 .555 .585 .557 .530 .505 .481 .527 .497 469 .442 .417 475 .444 415 388 362 .429 .397 .368 .340 .315 .388 .356 326 .299 .275 .350 .319 .290 .263 .239 .287 .257 .229 .205 .183 .237 .208 .182 .160 .140 .215 .187 .163 .141 .123 .195 .168 .145 .125 .108 .162 .137 .116 .099 .084 .135 .112 .093 .078 .065 .094 .076 .061 .049 .040 .066 .052 .040 .032 .025 16 17 18 19 20 .853 .844 .836 .828 .820 .728 .714 .700 .686 .673 .623 .605 .587 .570 .554 .534 .513 .494 475 456 .458 436 .416 396 377 .394 .371 350 .331 .312 339 .317 .296 .276 .258 .292 .270 .250 .232 .215 .252 .231 .212 .194 .178 .218 .198 .180 .164 .149 .163 .146 .130 .116 .104 .123 .107.093 071 .054 .032 .019 .108.093 .080 .060 .045 .026 .015 .095 .081 .069 .051 038 021 .012 .083 .070 ,060 .043 031 .017 .009 .073 .061 .051.037 .026 .014 .007 25 .780 .610 .478 .375 .295 .233 .184 .146 .116 .092 .059 .038 .030 .024 .016 .010 .005 .002 30 .742 .552 -412 308 .231 .174 .131 .099 .075 .057.033 .020 .015 .012 .007.004 .002 .001 You are given the following information concerning a noncallable, sinking fund debenture: Principal: $1,000 Coupon rate of interest: 7 percent Term to maturity: 15 years Sinking fund: 3 percent of outstanding bonds retired annually; the balance at maturity a. If you buy the bond today at its face amount and interest rates rise to 11 percent after four years have passed, what is your capital gain or loss? Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Use a minus sign to enter the loss amount, if any, as a negative value. Round your answer to the nearest dollar. $ b. If you hold the bond 15 years, what do you receive at maturity? -Select- c. What is the bond's current yield as of right now? Round your answer to the nearest whole number. % d. Given your price in a, what is the yield at maturity? Round your answer to the nearest whole number. % e. What proportion of the total debt issue is retired by the sinking fund? Round your answer to the nearest whole number. % f. If the final payment to retire this bond is $1,000,000, how much must the firm invest annually to accumulate this sum if the firm is able to earn 7 percent on the invested funds? Use Appendix C to answer the question. Round your answer to the nearest dollar. $ Interest Factors for the Present Value of an Annuity of One Dollar 2% 4% 6% Time Period (e.g. year) 1 2 3 4 5 1% 3% 5% 7% 8% 9% 10% 12% 14% 16% 18% 20% 24% 28% 32% 36% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.862 0.847 0.833 0.806 0.781 0.758 0.735 1.970 1.942 1913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.605 1.566 1.528 1.457 1.392 1.332 1.276 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.246 2.174 2.106 1.981 1.868 1.766 1674 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.798 2.690 2.589 2.404 2.241 2.096 1.966 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.274 3.127 2.991 2.745 2.532 2.345 2.181 6 7 8 5.795 5.601 5.417 5.242 5.076 4.917 4.766 4.623 4.486 4.355 4.111 3.889 3.685 3.498 3.326 3.020 2.759 2.534 2.399 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.039 3.812 3.605 3.242 2.937 2.678 2.455 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.344 4.078 3.837 3.421 3.076 2.786 2.540 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.985 5.759 5.328 4.946 4.607 4.303 4.031 3.566 3.184 2.868 2.603 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.650 5.216 4.833 4.494 4.193 3.682 3.269 2.930 2.650 10 11 12 13 14 15 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.988 5.453 5.029 4.656 4.327 3.776 3.335 2.978 2.683 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.197 4.793 4.439 3.851 3.387 3.013 2.708 12.134 11.348 10.635 9.986 9.394 8.534 8.358 7.904 7.487 7.103 6.424 5.842 5.342 4.910 4.533 3.912 3.427 3.040 2.727 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 5.468 5.008 4.611 3.962 3.459 3.061 2.740 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.060 7.606 6.811 6.142 5.575 5.092 4.675 4.001 3.483 3.076 2.750 16 17 18 19 20 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.312 7.824 6.974 6.265 5.669 5.162 4.730 4.003 3.503 3.088 2.758 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.002 7.120 6.373 5.749 5.222 4.775 4.059 3.518 3.097 2.763 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.2017.250 6.467 5.818 5.273 4.812 4.080 3.529 3.104 2.767 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 5.877 5.316 4.844 4.097 3.539 3.109 2.770 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.128 8.514 7.469 6.623 5.929 5.353 4.870 4.110 3.546 3.113 2.772 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 7.843 6.873 6.097 5.467 4.948 4.147 3.564 3.122 2.776 30 25.808 22.937 19.600 17.292 15.373 13.765 12.409 11.258 10.274 9.427 8.055 7.003 6.177 5.517 4.979 4.160 3.569 3.124 2.778Step by Step Solution
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