Lance Whittingham IV specializes in buying deep discount bonds. These represent bonds that are trading at well below par value. He has his eye on a bond issued by the Leisure Time Corporation. The $1,000 par value bond with semiannual payments has 8 percent annual interest and has 25 years remaining to maturity. The current yield to maturity on similar bonds is 14 percent. (Round "PV Factor" to 3 decimal places. Do not round intermediate calculations. Round the final answers to 2 decimal places.)

What is the annual compound rate of growth in the value of the bonds? (Use Appendix A)

Annual compound rate

Bonds issued by the Coleman Manufacturing Company have a par value of $1,000, which is also the amount of principal to be paid at maturity. The bonds are currently selling for $860. They have 10 years to maturity. Annual interest is 10 percent ($100), paid semiannually.

Compute the yield to maturity. (Round the final answer to 2 decimal places.)

Yield to maturity

The Vinny Cartier Company issued bonds at $1,000 per bond. The bonds had a 30-year life when issued, with semiannual payments at the then annual rate of 13 percent. This return was in line with required returns by bondholders at that point, as described below:

Real rate of return	4	%
Inflation premium	5
Risk premium	4
Total return	13	%

Assume that ten years later the inflation premium is 3 percent, the risk premium has declined to 2 percent and both are appropriately reflected in the required return (or yield to maturity) of the bonds. The bonds have 20 years remaining until maturity.

Compute the new price of the bond. Use Appendix B and Appendix D. (Round "PV Factor" to 3 decimal places. Do not round intermediate calculation. Round the final answer to 2 decimal places.)

Bonds issued by the Tyler Food chain have a par value of $1,000, are selling for $1,430, and have 20 years remaining to maturity. Annual interest payment is 16.5 percent ($165), paid semiannually.

Compute the approximate yield to maturity. (Round the final answer to 2 decimal places.)

Approximate yield to maturity

APPENDIX A Future Value of $1, FV. FV = PV(1 + i)" Period ......... ........ 7% 1.070 1.145 1.225 1.311 1.403 1.501 1% 1.010 1.020 1.030 1.041 1.051 1.062 1.072 1.083 1.094 1.105 1.116 1.127 1.138 1.149 1.161 1.173 1.184 1.196 1.208 1.220 1.282 1.348 1.489 1.645 2% 1.020 1.040 1.061 1.082 1.104 1.126 1.149 1.172 1.195 1.219 1.243 1.268 1.294 1.319 1.346 1.373 1.400 1.428 1.457 1.486 1.641 1.811 2.208 2.692 3% 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.605 1.653 1.702 1.754 1.806 2.094 2.427 3.262 4.384 4% 1.040 1.082 1.125 1.170 1.217 1.265 1.316 1.369 1.423 1.480 1.539 1.601 1.665 1.732 1.801 1.873 1.948 2.026 2.107 2.191 2.666 3.243 4.801 7.107 5% 1.050 1.103 1.158 1.216 1.276 1.340 1.407 1.477 1.551 1.629 1.710 1.796 1.886 1.980 2.079 2.183 2.292 2.407 2.527 2.653 3.386 4.322 7.040 11.467 Percent 6% 1.060 1.124 1.191 1.262 1.338 1.419 1.504 1.594 1.689 1.791 1.898 2.012 2.133 2.261 2.397 2.540 2.693 2.854 3.026 3.207 4.292 5.743 10.286 18.420 8% 1.080 1.166 1.260 1.360 1.469 1.587 1.714 1.851 1.999 2.159 2.332 2.518 2.720 2.937 3.172 3.426 3.700 3.996 4.316 4.661 6.848 10.063 21.725 46.902 9% 1.090 1.188 1.295 1.412 1.539 1.677 1.828 1.993 2.172 2.367 2.580 2.813 3.066 3.342 3.642 3.970 4.328 4.717 5.142 5.604 8.623 13.268 31.409 7 4.358 1.606 1.718 1.838 1.967 2.105 2.252 2.410 2.579 2.759 2.952 3.159 3.380 3.617 3.870 5.427 7.612 14.974 29.457 10% 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2.144 2.358 2.594 2.853 3.138 3.452 3.797 4.177 4.595 5.054 5.560 6.116 6.727 10.835 17.449 45.259 117.39 11% 1.110 1.232 1.368 1.518 1.685 1.870 2.076 2.305 2.558 2.839 3.152 3.498 3.883 4.310 4.785 5.311 5.895 6.544 7.263 8.062 13.585 22.892 65.001 184.57 ........ 16....... 50........ Period 16% 1.160 1.346 1.561 1.811 2.100 2.436 2.826 3.278 Percent 17% 1.170 1.369 1.602 1.874 2.192 2.565 3.001 20% 1.200 1.440 1.728 2.074 2.488 2.986 3.583 4.300 3.511 3.803 5.160 12% 1.120 1.254 1.405 1.574 1.762 1.974 2.211 2.476 2.773 3.106 3.479 3.896 4.363 4.887 5.474 6.130 6.866 7.690 8.613 9.646 17.000 29.960 93.051 289.00 13% 1.130 1.277 1.443 1.630 1.842 2.082 2.353 2.658 3.004 3.395 3.836 4.335 4.898 5.535 6.254 7.067 7.986 9.024 10.197 11.523 21.231 39.116 132.78 450.74 14% 1.140 1.300 1.482 1.689 1.925 2.195 2.502 2.853 3.252 3.707 4.226 4.818 5.492 6.261 7.138 8.137 9.276 10.575 12.056 13.743 26.462 50.950 188.88 700.23 15% 1.150 1.323 1.521 1.749 2.011 2.313 2.660 3.059 3.518 4.046 4.652 5.350 6.153 7.076 8.137 9.358 10.761 12.375 14.232 16.367 32.919 66.212 267.86 1.083.7 4.411 5.117 5.936 6.886 7.988 9.266 10.748 12.468 14.463 16.777 19.461 40.874 85.850 378.72 1.670.7 18% 1.180 1.392 1.643 1.939 2.288 2.700 3.185 3.759 4.435 5.234 6.176 7.288 8.599 10.147 11.974 14.129 16.672 19.673 23.214 27.393 62.669 143.37 750.38 3,927.4 4.108 4.807 5.624 6.580 7.699 9.007 10.539 12.330 14.426 16.879 19.748 23.106 50.658 111.07 533.87 2,566.2 19% 1.190 1.416 1.685 2.005 2.386 2.840 3.379 4.021 4.785 5.696 6.777 8.064 9.596 11.420 13.590 16.172 19.244 22.091 27.252 32.429 77.388 184.68 1,051.7 5,988.9 :::::::: 25% 1.250 1.563 1.953 2.441 3.052 3.815 4.768 5.960 7.451 9.313 11.642 14.552 18.190 22.737 28.422 35.527 44.409 55.511 69.389 86.736 264.70 807.79 7,523.2 70,065. 6.192 7.430 8.916 10.699 12.839 15.407 18.488 22.186 26.623 31.948 38.338 95.396 237.38 1,469.8 9,100.4 30% 1.300 1.690 2.197 2.856 3.713 4.827 6.276 8.157 10.604 13.786 17.922 23.298 30.288 39.374 51.186 66.542 86.504 112.46 146.19 190.05 705.64 2,620.0 36,119. 497,929. ...... Note: Factor calculation with calculator Set PV-1 Set PMT -0 Solect N = number of required periods Select MY = required Interest rate COMP FV - ? Excel Spreadsheet FVn, O, PV, O) I=Decimal or 1- For beginning of period (5th spot) APPENDIX B Present Value of $1,PV) PV = Fvlat = FV(1 + i)- Period 9% 0.917 0.842 0.772 0.708 1% 0.990 0.980 0.971 0.961 0.951 0.942 0.933 0.923 0.914 0.905 0.896 0.887 0.879 0.870 0.861 0.853 0.844 0.836 0.828 0.820 0.780 0.742 0.672 0.608 2% 0.980 0.961 0.942 0.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 0.728 0.714 0.700 0.686 0.673 0.610 0.552 0.453 0.372 3% 0.971 0.943 0.915 0.885 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 0.478 0.412 0.307 0.228 4% 0.962 0.925 0.889 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 0.456 0.375 0.308 0.208 0.141 5% 0.952 0.907 0.864 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 0.295 0.231 0.142 0.087 Percent 6% 0.943 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.527 0.497 0.469 0.442 0.417 0.394 0.371 0.350 0.331 0.312 0.233 0.174 0.097 0.054 7% 0.935 0.873 0.816 0.763 0.713 0.666 0.623 0.582 0.544 0.508 0.475 0.444 0.415 0.388 0.362 0.339 0.317 0.296 0.277 0.258 0.184 0.131 0.067 0.034 8% 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 0.315 0.292 0.270 0.250 0.232 0.215 0.146 0.099 0.046 0.021 10% 0.909 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.350 0.319 0.290 0.263 0.239 0.218 0.198 0.180 0.164 0.149 0.092 0.057 0.022 0.009 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 0.275 0.252 0.231 0.212 0.194 0.178 0.116 0.075 0.032 0.013 11% 0.901 0.812 0.731 0.659 0.593 0.535 0.482 0.434 0.391 0.352 0.317 0.286 0.258 0.232 0.209 0.188 0.170 0.153 0.138 0.124 0.074 0.044 0.015 0.005 ..... .... ........ Period 0 ... 10. ....... 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 0.059 0.033 0.011 0.003 0 13% 0.885 0.783 0.693 0.613 0.543 0.480 0.425 0.376 0.333 0.295 0.261 0.231 0.204 0.181 0.160 0.141 0.125 0.111 0.098 0.087 0.047 0.026 0.008 0.002 14% 0.877 0.769 0.675 0.592 519 0.456 0.400 0.351 0.300 0.270 0.237 0.208 0.182 0.160 0.140 0.123 0.108 0.095 0.083 0.073 0.038 0.020 0.005 0.001 15% 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.215 0.187 0.163 0.141 0.123 0.107 0.093 0.081 0.070 0.061 0.030 0.015 0.004 0.001 16% 0.862 0.743 0.641 0.552 0.476 0.410 0.354 0.305 0.263 0.227 0.195 0.168 0.145 0.125 0.108 0.093 0.080 0.069 0.060 0.051 0.024 0.012 0.003 0.001 0 Percent 17% 18% 0.855 0.847 0.731 0.718 0.624 0.609 0.534 0.515 0.456 0.437 0.390 0.370 0.333 0.314 0.285 0.266 0.243 0.225 0.208 0.191 0.178 0.162 0.152 0.137 0.130 0.116 0.111 0.099 0.095 0.084 0.081 0.071 0.069 0.060 0.059 0.051 0.051 0.043 0.043 0.037 0.0200.016 0.0090.007 0.002 0.001 0 19% 20% 0.840 0.833 0.706 0.694 0.593 0.579 0.499 0.482 0.419 0.402 0.352 0.335 0.296 0.279 0.2490.233 0.209 0.194 .176 0.162 0.148 0.135 0.124 0.112 0.104 0.093 0.088 0.078 0.074 0.065 0.062 0.054 0.052 0.045 0.044 0.038 0.037 0.031 0.031 0.026 0.013 0.010 0.005 0.004 0.001 0.001 0 0 25% 0.800 0.640 0.512 0.410 0.320 0.262 0.210 0.168 0.134 0.107 0.086 0.069 0.055 0.044 0.035 0.028 0.023 0.018 0.014 0.012 0.004 0.0010 0 0 30% 0.769 0.592 0.455 0.350 0.269 0.207 0.159 0.123 0.094 0.073 0.056 0.043 0.033 0.025 0.020 0.015 0.012 0.009 0.007 0.005 0.001 35% 0.741 0.549 0.406 0.301 .223 0.165 0.122 0.091 0.067 0.050 0.037 0.027 0.020 0.015 0.011 0.008 0.006 0.005 0.003 0.002 0.0010 40% 0.714 0.510 0.364 0.260 0.186 0.133 0.095 0.068 0.048 0.035 0.025 0.018 0.013 0.009 0.006 0.005 0.003 0.002 0.002 0.001 50% 0.667 0.444 0.296 0.198 0.132 0.088 0.059 0.039 0.026 0.017 0.012 0.008 0.005 0.003 0.002 0.002 0.001 0.001 0 0 0 50........ 0 0 Note: Factor calculation with calculator. Set FV -1 Set PMT - 0 Select N = number of required periods Select 1Y = required interest rate COMP PV - ? Excel Spreadsheet PV 4., FV) 1 - Decimal or % 1= For beginning of period (5th spot) APPENDIX D Present Value of an Annuity of $1, PVA - PVA Period 4% 0.962 1.886 2.775 8% 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 7.139 1% 0.990 1.970 2.941 3.902 4.853 5.795 6.728 7.652 8.566 9.471 10.368 11.255 12.134 13.004 13.865 14.718 15.562 16.398 17.226 18.046 22.023 25.808 32.835 39.196 2% 0.980 1.942 2.884 3.808 4.713 5.601 6.472 7.325 8.162 8.983 9.787 10.575 11.348 12.106 12.849 13.578 14.292 14.992 15.678 16.351 19.523 22.396 27.355 31.424 3% 0.971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 11.938 12.561 13.166 13.754 14.324 14.877 17.413 19.600 23.115 25.730 5% 0.952 1.859 2.723 3.546 4.329 5.076 5.786 6.463 7.108 7.722 8.306 8.863 9.394 9.899 10.380 10.838 11.274 11.690 12.085 12.462 14.094 15.372 17.159 18.256 3.630 4.452 5.242 6.002 6.733 7.435 8.111 8.760 9.385 9.986 10.563 11.118 11.652 12.166 12.659 13.134 13.590 15.622 17.292 19.793 21.482 Percent 6% 0.943 1.833 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 7.887 8.384 8.853 9.295 9.712 10.106 10.477 10.828 11.158 11.470 12.783 13.765 15.046 1 5.762 7% 0.935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 11.654 12.409 13.332 13.801 7.536 9% 0.917 1.759 2.531 3.240 3.890 4.486 5.033 5.535 5.995 6.418 6.805 7.161 7.487 7.786 8.061 8.313 8.544 8.756 8.950 9.129 9.823 10.274 10.757 10.962 10% 0.909 1.736 2.487 3.170 3.791 4.355 4.868 5.335 5.759 6.145 6.495 6.814 7.103 7.367 7.606 7.824 8.022 8.201 8.365 8.514 9.077 9.427 9.779 9.915 11% 0.901 1.713 2.444 3.102 3.696 4.231 4.712 5.146 5.537 5.889 6.207 6.492 6.750 6.982 7.191 7.379 7.549 7.702 7.839 7.963 8.422 8.694 8.951 9.042 7.904 8.244 8.559 8.851 9.122 9.372 9.604 9.818 10.675 11.258 11.925 12.233 40........ 50........ Period 12% 0.893 1.690 2.402 2......... 3.037 2 2 13% 14% 15% 0.885 0.877 0.870 1.668 1.647 1 .626 2.361 2.322 2.283 2.974 2.914 2.855 3.517 3.433 3.352 3.998 3.889 3.784 4.423 4.288 4.160 4.799 4.639 4 .487 5.132 4.946 4.772 5.426 5.2165.019 5.687 5.453 5.234 5.918 5.660 5.421 6.122 5.842 6.302 6.002 5.724 6.462 6.142 5.847 6.604 6.265 5.954 6.7296.373 6.047 6.840 6.467 6.128 6.938 6.550 6.198 7.025 6.623 6.259 7.330 6.873 6.464 7.496 7.003 6.566 7.634 7.105 6.642 7.675 7.133 6.661 3.605 4.111 4.564 4.968 5.328 5.650 5.938 6.194 6.424 6.628 6.811 6.974 7.102 7.250 7.366 7.469 7.843 8.055 8.244 8.304 16% 0.862 1.605 2.246 2.798 3.274 3.685 4.039 4.344 4.607 4.833 5.029 5.197 5.342 5.468 5.575 5.668 5.749 5.818 5.877 5.929 6.097 6.177 6.233 6.246 17% 0.855 1.585 2.210 2.743 3.199 3.589 3.922 4.207 4.451 4.659 4.836 4.988 5.118 5.229 5.324 5.405 5.475 5.534 5.584 5.628 5.766 5.829 5.871 5.880 Percent 18% 19% 20% 25% 0.847 0.840 0.833 0.800 1.566 1.547 1.528 1.440 2.174 2.140 2.106 1.952 2.690 2.639 2.589 2.362 3.127 3.058 2.991 2.689 3.498 3.410 3.326 2.951 3.812 3.706 3.605 3.161 4.078 3.954 3.837 3.329 4.303 4.163 4.031 3.463 4.494 4.3394.1923.571 4.656 4.486 4.327 3.656 4.793 4.611 4.439 3.725 4.910 4.715 4.533 3.780 5.008 4.802 4.611 3.824 5.092 4.876 4.675 3.859 5.162 4.938 4.730 3.887 5.222 4.988 4.775 3.910 5.273 5.033 4.812 3.928 5.316 5.070 4.843 3.942 5.353 5.101 4.870 3.954 5.467 5.195 4.948 3.985 .517 5.235 4.979 3.995 5.548 5.258 4.997 3.999 5.554 5.262 4.999 4.000 30% 0.769 1.361 1.816 2.166 2.436 2.643 2.802 2.925 3.019 3.092 3.147 3.190 3.223 3.249 3.268 3.283 3.295 3.304 3.311 3.316 3.329 3.332 3.333 3.333 35% 0.741 1.289 1.696 1.997 2.220 .385 .508 2.598 2.665 2.715 2.752 2.779 2.799 2.814 2.825 2.834 2.840 2.844 2.848 2.850 2.856 2.857 2.857 2.857 40% 0.714 1.224 1.589 1.849 2.035 2.168 2.263 2.331 2.379 2.414 2.438 2.456 2.469 2.478 2.484 2.489 2.492 2.494 2.496 2.497 2.499 2.500 2.500 2.500 50% 0.667 1.111 1.407 1.605 1.737 1.824 1.883 1.922 1.948 1.965 1.977 1.985 1.990 1.993 1.995 1.997 1.998 1.999 1.999 1.999 2.000 2.000 2.000 2.000 5.583 5 40........ 50........ If annuity in advance, calculate factor with BGN set on calculator. Note: Factor calculation with calculator. Set PMT = 1 Set FV = 0 Select N = number of required periods Select ve = required interest rate COMPPV = ? Excel Spreadsheet PV (I, n. 0, PMT, O) I= Decimal or % 1= For beginning of period (5th spot)