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You are given the following information concerning a noncallable, sinking fund debenture: . Principal: $1,000 . Coupon rate of interest: 8 percent Term to maturity:
You are given the following information concerning a noncallable, sinking fund debenture: . Principal: $1,000 . Coupon rate of interest: 8 percent Term to maturity: 18 years Sinking fund: 5 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 12 percent after three 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 18 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 $1,100,000, how much must the firm invest annually to accumulate this sum if the firm is able to earn 8 percent on the invested funds? Use Appendix to answer the question. Round your answer to the nearest dollar. $ b. Principal/All Coupon Payments ? Interest Factors for the Present Value of One Dollar UNAWN- Interest Factors for the Present Value of an Annuity of One Dollar Time Period (e.g. year) 1 2 3 32% UNAWN 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 18% 20% 24% 28% 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 1.913 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 9 10 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 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 8.201 7.250 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 Future Value of an Annuity of One Dollar Time Period (e.g. year) 1 2 3 4 5 Nm 1% 1.000 2.010 3.030 4.060 5.101 2% 1.000 2.020 3.060 4.122 5.204 3% 1.000 2.030 3.091 4.184 5.309 4% 1.000 2.040 3.122 4.246 5.416 5% 1.000 2.050 3.152 4.310 5.526 6% 1.000 2.060 3.184 4.375 5.637 7% 1.000 2.070 3.215 4.440 5.751 8% 1.000 2.080 3.246 4.506 5.867 9% 1.000 2.090 3.278 4.573 5.985 10% 1.000 2.100 3.310 4.641 6.105 12% 1.000 2.120 3.374 4.770 6.353 14% 1.000 2.140 3.440 4.921 6.610 16% 1.000 2.160 3.506 5.067 6.877 20% 1.000 2.200 3.640 5.368 7.442 6 7 8 9 10 6.152 7.214 8.286 9.369 10.462 6.308 7.434 8.583 9.755 10.950 6.468 7.662 8.892 10.159 11.464 6.633 6.802 7.898 8.142 9.214 9.549 10.583 11.027 12.006 12.578 6.975 8.394 9.897 11.491 13.181 7.153 8.654 10.260 11.978 13.816 7.336 7.523 7.716 8.923 9.200 9.487 10.637 11.028 11.436 12.488 13.021 13.579 14.487 15.193 15.937 8.115 8.536 10.089 10.730 12.300 13.233 14.776 16.085 17.549 19.337 8.978 11.413 14.240 17.518 21.321 9.930 12.915 16.499 20.798 25.958 11 12 13 14 15 11.567 12.683 13.809 14.947 16.097 12.169 13.412 14.680 15.974 17.293 12.808 13.486 14.207 14.192 15.026 15.917 15.618 16.627 17.713 17.086 18.292 19.599 18.599 20.024 21.579 14.972 16.870 18.882 21.051 23.276 15.784 17.888 20.141 22.550 25.129 16.645 18.977 21.495 24.215 27.152 17.560 18.531 20.141 21.384 22.953 24.523 26.019 27.975 29.361 31.772 20.655 24.138 28.029 32.393 37.280 23.044 27.271 32.089 37.581 43.842 25.732 32.150 30.850 39.580 36.786 48.496 43.672 59.195 51.659 72.035 16 17 18 19 20 17.258 18.430 19.615 20.811 22.019 18.639 20.012 21.412 22.841 24.297 20.157 21.762 23.414 25.117 26.870 21.825 23.657 25.673 23.698 25.840 28.213 25.645 28.132 30.906 27.671 30.539 33.760 29.778 33.066 36.786 27.888 30.840 33.999 37.379 40.995 30.324 33.750 37.450 41.446 45.762 33.003 36.974 41.301 46.018 51.160 35.950 40.545 45.599 51.159 57.275 42.753 48.884 55.750 63.440 72.052 50.980 59.118 68.934 78.969 91.025 60.925 87.442 71.673 105.93 84.140 128.11 98.603 154.74 115.370 186.68 25 28.243 32.030 36.459 41.646 47.727 54.865 63.249 73.106 84.701 98.347 133.33 181.87 249.210 471.98 30 34.785 40.568 47.575 56.085 66.439 79.058 94.461 113.283 136.308 164.494 241.333 356.878 530.310 1181.8 You are given the following information concerning a noncallable, sinking fund debenture: . Principal: $1,000 . Coupon rate of interest: 8 percent Term to maturity: 18 years Sinking fund: 5 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 12 percent after three 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 18 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 $1,100,000, how much must the firm invest annually to accumulate this sum if the firm is able to earn 8 percent on the invested funds? Use Appendix to answer the question. Round your answer to the nearest dollar. $ b. Principal/All Coupon Payments ? Interest Factors for the Present Value of One Dollar UNAWN- Interest Factors for the Present Value of an Annuity of One Dollar Time Period (e.g. year) 1 2 3 32% UNAWN 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 18% 20% 24% 28% 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 1.913 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 9 10 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 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 8.201 7.250 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 Future Value of an Annuity of One Dollar Time Period (e.g. year) 1 2 3 4 5 Nm 1% 1.000 2.010 3.030 4.060 5.101 2% 1.000 2.020 3.060 4.122 5.204 3% 1.000 2.030 3.091 4.184 5.309 4% 1.000 2.040 3.122 4.246 5.416 5% 1.000 2.050 3.152 4.310 5.526 6% 1.000 2.060 3.184 4.375 5.637 7% 1.000 2.070 3.215 4.440 5.751 8% 1.000 2.080 3.246 4.506 5.867 9% 1.000 2.090 3.278 4.573 5.985 10% 1.000 2.100 3.310 4.641 6.105 12% 1.000 2.120 3.374 4.770 6.353 14% 1.000 2.140 3.440 4.921 6.610 16% 1.000 2.160 3.506 5.067 6.877 20% 1.000 2.200 3.640 5.368 7.442 6 7 8 9 10 6.152 7.214 8.286 9.369 10.462 6.308 7.434 8.583 9.755 10.950 6.468 7.662 8.892 10.159 11.464 6.633 6.802 7.898 8.142 9.214 9.549 10.583 11.027 12.006 12.578 6.975 8.394 9.897 11.491 13.181 7.153 8.654 10.260 11.978 13.816 7.336 7.523 7.716 8.923 9.200 9.487 10.637 11.028 11.436 12.488 13.021 13.579 14.487 15.193 15.937 8.115 8.536 10.089 10.730 12.300 13.233 14.776 16.085 17.549 19.337 8.978 11.413 14.240 17.518 21.321 9.930 12.915 16.499 20.798 25.958 11 12 13 14 15 11.567 12.683 13.809 14.947 16.097 12.169 13.412 14.680 15.974 17.293 12.808 13.486 14.207 14.192 15.026 15.917 15.618 16.627 17.713 17.086 18.292 19.599 18.599 20.024 21.579 14.972 16.870 18.882 21.051 23.276 15.784 17.888 20.141 22.550 25.129 16.645 18.977 21.495 24.215 27.152 17.560 18.531 20.141 21.384 22.953 24.523 26.019 27.975 29.361 31.772 20.655 24.138 28.029 32.393 37.280 23.044 27.271 32.089 37.581 43.842 25.732 32.150 30.850 39.580 36.786 48.496 43.672 59.195 51.659 72.035 16 17 18 19 20 17.258 18.430 19.615 20.811 22.019 18.639 20.012 21.412 22.841 24.297 20.157 21.762 23.414 25.117 26.870 21.825 23.657 25.673 23.698 25.840 28.213 25.645 28.132 30.906 27.671 30.539 33.760 29.778 33.066 36.786 27.888 30.840 33.999 37.379 40.995 30.324 33.750 37.450 41.446 45.762 33.003 36.974 41.301 46.018 51.160 35.950 40.545 45.599 51.159 57.275 42.753 48.884 55.750 63.440 72.052 50.980 59.118 68.934 78.969 91.025 60.925 87.442 71.673 105.93 84.140 128.11 98.603 154.74 115.370 186.68 25 28.243 32.030 36.459 41.646 47.727 54.865 63.249 73.106 84.701 98.347 133.33 181.87 249.210 471.98 30 34.785 40.568 47.575 56.085 66.439 79.058 94.461 113.283 136.308 164.494 241.333 356.878 530.310 1181.8
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