1)
Kellog Co. issues $100,000 total of bonds with a maturity of 5 years, which pay 3% interest annually.The bond yield to maturityis 3.5%.
What is the price of ONE bond today?
PV of interest payments ?
PV of maturity amount ?
Present price of the bond?
This bonds sells at aDiscountorPremium?
2)
January 2019, Hertz Company issues $1 million of 8% coupon bonds due
January 2034, this bonds pay interest semiannually. If the yield to maturity on the bonds is 7%, what is the selling price of the bonds?
PV of interest payments ?PV of maturity amount ?
Present price of the bond ?
3)
May, 2019, Aflec Company issues $5 million of bonds which pay $50 interest semiannually on each bond. The bonds are to be redeemed in May, 2029. If the yield to maturity on these bonds is 9%, what is the selling price of the bonds?
PV of interest payments ?
PV of maturity amount ?
Present price of the bond ?
Future value interest factor of $1 per period at 1% for n periods, FVIF(i,n). 1% 2% 3% 4% 4.5% 5% 6% 7% 9% 11% 1.010 1.020 1.035 1.040 1.050 1.055 1.070 1.080 1.090 1.020 1.051 1.071 1.082 1.103 1.113 1.145 1.210 1.254 1.061 1.109 1.125 1.174 1,331 1.082 1.148 1.170 1.239 1.360 1.077 1.188 1.246 1.276 1.307 1.338 1.469 1.539 1.611 1.685 1.126 1.229 1.265 1.302 1.340 1.379 1.419 1.677 1.149 1.230 1.361 1.455 1.606 1.714 2.076 1.083 1.126 1.218 1.267 1.317 1.422 1.477 1.535 1.718 1.851 1.993 2.305 1.094 1.195 1.363 1.551 1.619 1.838 2.358 10 1.219 1.344 1.553 1.967 2.159 2.367 2.839 3.106 1.116 1.178 1.312 1.384 1.460 1.623 1.710 1,802 2.105 2.853 3.152 12 1.127 1.196 1.268 1,426 1.601 1.696 1.796 1,901 2 012 2.252 2.813 3.498 3,896 1.138 1.214 1 294 1.469 1.564 2.006 2.133 2.410 2.720 3.066 1.149 1.232 1.319 1.619 1.732 1.852 2.116 2 261 2.579 2.937 3.342 3.797 15 1.161 1.346 1.448 1.801 1.935 2.079 2.232 2.759 4.177 4.785 16 1.173 1.269 1.373 1.605 1.734 1.873 2.183 2.355 2.540 3.426 1.184 5.311 6.130 1.400 1.795 1.948 2.292 2.485 3.159 3.700 5.054 5.895 18 1.196 1.307 1.428 1.702 1 857 2.026 2.407 3.380 4.717 6.544 19 1.208 1.327 1.923 2.107 2.766 3.617 4.316 5.142 8.116 7 263 20 1.220 6.613 1.347 1.486 2.412 2.653 3.207 3.870 1.270 1.608 1.809 2.033 2 283 2.563 2.876 3.225 3.615 4.049 5.072 7.911 12 239 1.282 15,179 25 1.451 1.641 2.094 2.363 2.666 3.005 3.813 5.427 6.848 13.585 17.000 1.348 2.098 2.427 2.807 3.243 3.745 4.984 5.743 7.612 10.063 13.268 22 692 29.960 2.204 3.007 3.508 5.547 6.453 8.715 11.737 15.763 28.206 37.582 35 1.417 2.000 2.373 2.814 3.334 3.946 5.516 6.514 7.686 10.677 14.785 20.414 38.575 36 1.431 52.800 2.433 2.898 3.450 4.104 4.877 6.872 8.147 11.424 15.968 22.251 30.913 42 818 59.136 2.685 3.262 3.959 4.801 5.816 10.266 14.974 21.725 31.409 65 001 50 11.467 74.350 184.565 289,002Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). 1% 25% 3% 4% 5% 5.5% 7% 8% 9% D.980 0.976 0.966 0.948 0.943 0.935 0.926 D.917 0.980 0,952 0.943 0,934 0.925 0,916 0.907 0,890 0.490 0,873 0.457 0.842 0.826 0.812 0.797 0.971 0.956 0.929 0.889 0.852 0.840 0.816 0.772 0.712 0.942 0.888 0.871 0.855 0.842 0.802 0.784 0.765 0.747 0.681 D.650 0.621 0.593 0.942 0.915 0.837 0.790 0,768 0,725 0.706 0.630 0.596 0.564 0.507 0.813 0.760 0.735 0.711 0.583 0.482 0.452 0.923 0.888 0.853 0.821 0.789 0.758 0.731 0.703 0.677 0.652 0.627 0.582 0.540 0.502 0.467 0.434 0.914 0.801 0.766 0.673 0.592 0.544 0.500 D.460 0.906 0.781 0.744 0.644 D.685 11 0.352 0.896 0 804 0.762 0.685 0.650 0.616 0.585 0.655 0 527 0,475 0.429 0.389 0.317 0.287 0.788 0.744 0.701 0.625 0.356 0.319 0 286 13 0.879 0.681 0.601 0.564 0.368 0.326 14 D.870 0.812 0.661 0.577 0.540 D.473 0.442 D.388 0.340 D.289 D.283 0.232 0,800 0.743 0.315 0,275 0 209 0.183 0.853 0.728 0.674 0.623 0.577 0.534 0.494 0.425 0.394 0.339 17 0.292 0.252 0.188 0.163 0.844 0.776 0.714 0.657 0.605 0.473 0.436 D.402 0.371 0.317 0.270 0.231 0.170 0.765 0.700 0.587 0.494 0.453 0.350 D.293 D.212 0.153 0.130 0.828 0,754 0.570 0.475 0,431 0.396 0.331 0.232 0.194 0.138 0,116 0.673 0.610 0.554 0.503 0.377 0.343 0.312 0.215 0.178 0.149 0.124 0.700 0.553 0.348 0.310 0.247 0.158 0.126 0.780 0.610 0.478 0.423 0.146 0.742 0.640 0,477 0.412 0.358 0.308 0,267 0 231 0.201 0.174 D. 131 0.099 0.075 0.044 0.033 0.621 0.454 0.398 0.244 0.210 0.180 0.155 0. 115 0,063 0.035 0.706 0.421 0.355 0.300 0 253 0.214 0.154 0.130 0.068 0.026 36 0.699 0.019 0.585 0.490 D.411 0.345 0.290 0 244 0.205 0.173 D. 146 0.123 0.08 8 0.063 D.045 0.032 0.023 0.561 0.307 0.253 0. 172 0.142 0.097 0.067 D.032 0.015 0.011 0.489 0.397 0.306 0.242 0.121 0.096 0,077 0.061 0,039 0.025 0.016 0.004 50Future value interest factor of an ordinary annuity of $1 per period at i% for n periods, FVIFA(i,n). 15% 1.000 1,000 1.000 1 000 1,000 1.000 1 000 1,000 1.000 1.000 1.000 2.010 2.015 2.020 2.025 2.035 2.040 2.060 2.070 2.090 3.030 3.045 3.076 3.091 3.106 3.122 3.153 3.184 3 246 3.342 3.374 4060 4.184 4.215 4 246 4.278 4.310 4.342 4.375 4 506 4.710 4.779 5.101 5.152 5.204 5,307 5.362 5,471 5,576 5 581 5,751 5 857 5.985 5,105 6.353 6.308 6.468 8.717 8.802 6.975 7.523 7.716 7.321 7.434 7.647 7.862 7.779 1.142 1.384 10.089 8.736 9,380 9.897 10.260 11.028 11 859 12.300 9.369 10.368 10 583 10.802 11.027 11.491 13.021 13.579 14.776 10.462 10.703 11.203 11.464 11.731 12.006 12.578 12 875 13.016 15.193 17.549 11.567 12.169 20.656 13 041 13.412 14.192 15,464 16 386 16.870 18 977 21.384 22 713 24.133 13.608 15.618 16.113 16.627 17.180 17.713 18.882 20.141 26.212 28.029 18.450 16.619 17.006 17.677 18 292 19.698 20.293 21.015 22.560 24 215 26.019 30.095 32.190 16 097 16.682 17.203 17.932 18,509 19.295 20 024 20,784 21.579 22 409 23.276 27 152 29.361 31,772 34 405 37.280 17 932 22.718 25.673 33.003 35.850 39.190 20.065 22.705 24.742 26.996 31.750 36.974 20.489 21.412 22.386 24.500 25.645 29 481 30.906 33.959 37 450 50 396 55.750 21 787 22.841 23.946 25.117 27 671 29.064 32 103 33.760 41 446 46.018 51.159 56 938 33/440 22 019 26.870 28.280 28.778 31.371 33.068 40.985 51.160 57.275 72.052 28.634 30.422 32.249 34.426 39 081 41.689 44.602 50.816 68.177 66 765 118.156 78 243 30.083 32.030 36,450 41 646 54.865 63.249 73 106 84.701 114 41 133,33 34.785 37.538 40.568 43.903 47.575 51.623 56.085 61.007 66.439 78.058 94.461 113.28 136.31 164.49 199.02 241.33 37.494 40.680 44.227 40.180 75.298 12 677 90.080 134.21 201.14 247-32 304.85 45.592 54.928 50.462 66.674 73 652 90.320 100 251 111.43 138.24 172.32 341.59 13 077 47 276 51.994 70.008 106 785 119.12 148.91 187.10 236 12 298.13 380.16 120.800 154.76 61 223 69.565 79.354 90.860 104.405 120.238 139 243 161.588 188.025 219 368 256.66 490.13 684 28 950.17 1,362.7 1,911.6 73.683 112.797 130.908 178.503 209.348 246 217 573.77 815 08 1.163.9Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i,n). 1% 2% 3% 3.5%% 1% 5% 9% 11% 066 0 0.985 D.980 0.976 996 0 0.962 0.952 0.948 0.943 0.926 0.917 D.90 0.901 0.893 1.956 1.927 1,900 1.813 1.890 2.941 2.884 2.856 2.829 2.802 2.749 2.723 2.698 2.673 2.624 2.531 2 402 3.854 3.673 3.588 3.546 3.505 3.387 3.312 3.240 3.170 3.037 4.783 4.713 4.646 4.515 3.993 3.696 3.605 5.795 5.697 5,417 5.329 5.158 5.076 4.917 4,767 4.623 6.728 6.472 6.230 5.893 5.796 5.592 5.033 4 564 7.652 7.170 6.596 6.335 6.210 5.971 5.335 4.868 7.971 7.786 7.435 6.515 5.328 9.471 9.222 8.983 8.752 8.530 8.317 7.913 7.722 7.638 7.380 7.024 6.710 6.418 6.145 5.809 5.650 10.368 10.071 9.787 9.514 9.253 9.002 8.760 7 897 7,499 6,805 3.495 6.207 5.938 11.255 10.575 10.258 9.954 9.385 9.119 8.863 8.384 7.536 6.814 6.194 12.134 11.348 10.983 10.635 10.303 9.986 9.683 8.394 9.117 8.853 7.103 6.750 12.543 11.691 11.296 10.921 10.583 10.223 9.590 8.745 8 244 7.367 6.628 13.465 12.849 11.118 10,038 9.712 8 559 7.606 6,811 14.718 14.131 13.578 13.055 12.094 11.652 11.234 10.106 9.447 8 851 8.313 7.824 15.562 14.282 13.712 12.651 12.166 10.865 9.763 9.122 8.544 7.549 7_120 16.398 15.673 14.353 13.754 12.659 10.828 10.059 9.372 7 250 15,679 14.979 14.324 13.710 12.593 12.045 11,608 10,336 8,365 7.266 18.046 13.008 12 462 11.950 9 018 8.514 7.469 21.243 18.914 17.885 16.936 16.058 15.247 14.495 13.799 13.152 10.529 8.348 19.523 18.424 17.413 14.094 13.414 12.783 11.654 10 675 9.077 7_843 22.396 20.930 19.600 18.392 17.292 16.289 15.372 12.409 27.270 25 267 23.469 21.949 20.389 19.069 17 874 16.789 15.803 14.904 14.094 12.647 11.435 9.520 8.112 29.409 24.989 21.487 20.001 16.374 15.391 14.498 12.948 9.644 8.176 25.489 23.556 20.290 18.908 16.547 15.536 14.621 13.035 11.717 32.835 25.103 23.115 21.355 19.793 18.402 17.159 15.046 13.332 11 925 10.767 9.779 8 244 37.974 30.673 27.773 23.091 18.077 16.790 15.650 13.730 9,897 8 297 25.730 19.762 16.932 9.915 9.042