QS 14-5A Computing bond price LO C2 Garcia Company issues 6.00%, 15-year bonds with a par value of $330,000 and semiannual interest payments. On the issue date, the annual market rate for these bonds is 4.00%, which implies a selling price of 122 1/3. Confirm that the bonds' selling price is approximately correct. Use present value Table B.1 and Table B.3 in Appendix B. (Round all table values to 4 decimal places, and use the rounded table values in calculations. Round your other final answers to nearest whole dollar amount.) = = Selling Price $ 403,755 Present Value Par Value x Price 330,000 122 1/3 Cash Flow Table Value $330,000 par (maturity) value $9,900 interest payment Price of Bond Difference due to rounding of table values TABLE B.1* Present Value of 1 p=1/(1 + i)" Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0 0 OO OWN 0.9901 0.9803 0.9706 0.9610 0.9515 0.9420 0.9327 0.9235 0.9143 0.9053 0.8963 0.8874 0.8787 0.8700 0.8613 8528 0.8444 0.8360 0.8277 0.8195 0.7798 0.7419 0.9804 0.9612 0.9423 0.9238 0.9057 0.8880 0.8706 0.8535 0.8368 0.8203 0.8043 0.7885 0.7730 0.7579 0.7430 0.7284 0.7142 0.7002 0.6864 0.6730 0.6095 0.5521 5000 0.4529 0.9709 0.9426 0.9151 0.8885 0.8626 0.8375 0.8131 0.7894 0.7664 0.7441 0.7224 0.7014 0.6810 0.6611 0.6419 0.6232 0.6050 0.5874 0.5703 0.5537 0.4776 0.4120 0.3554 .3066 0.9615 0.9246 0.8890 0.8548 0.8219 0.7903 0.7599 0.7307 0.7026 0.6756 0.6496 0.6246 0.6006 0.5775 0.5553 0.5339 0.5134 0.4936 0.4746 0.4564 0.3751 0.3083 0.2534 0.2083 0.9524 0.9070 0.8638 0.8227 0.7835 0.7462 0.7107 0.6768 0.6446 0.6139 0.5847 0.5568 0.5303 0.5051 0.4810 .4581 0.4363 0.4155 0.3957 0.3769 0.2953 0.2314 0.1813 0.1420 0.9434 0.8900 0.8396 0.7921 0.7473 0.7050 0.6651 0.6274 0.5919 0.5584 0.5268 0.4970 0.4688 0.4423 0.4173 .3936 0.3714 0.3503 0.3305 0.3118 0.2330 0.1741 0.1301 0.0972 .9346 0.8734 0.8163 .7629 0.7130 0.6663 0.6227 0.5820 0.5439 0.5083 0.4751 0.4440 0.4150 0.3878 0.3624 0.3387 0.3166 0.2959 0.2765 0.2584 0.1842 0.1314 0.0937 0.0668 0.9259 0.8573 0.7938 0.7350 0.6806 0.6302 0.5835 0.5403 0.5002 0.4632 0.4289 0.3971 0.3677 0.3405 0.3152 0.2919 0.2703 0.2502 0.2317 0.2145 0.1460 0.0994 0.0676 0.0460 0.9174 0.8417 0.7722 0.7084 0.6499 0.5963 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.2992 0.2745 0.2519 0.2311 0.2120 0.1945 0.1784 0.1160 0.0754 0.0490 0.0318 0.9091 0.8264 0.7513 0.6830 0.6209 0.5645 0.5132 0.4665 0.4241 0.3855 0.3505 0.3186 0.2897 0.2633 0.2394 0.2176 0.1978 0.1799 0.1635 0.1486 0.0923 0.0573 0.0356 0.0221 0.8929 0.7972 0.7118 0.6355 0.5674 0.5066 0.4523 0.4039 0.3606 0.3220 0.2875 0.2567 0.2292 0.2046 0.1827 0.163 0.1456 0.1300 0.1161 0.1037 0.0588 0.0334 0.0189 0.0107 0.8696 0.7561 0.6575 0.5718 0.4972 0.4323 0.3759 0.3269 0.2843 0.2472 0.2149 0.1869 0.1625 0.1413 0.1229 0.1069 0.0929 0.0808 0.0703 0.0611 0.0304 0.0151 .0075 0.0037 0 0 OOO O 0 0.6717 0 * Used to compute the present value of a known future amount. For example: How much would you need to invest today at 10% compounded semiannually to accumulate $5,000 in 6 years from today? Using the factors of n= 12 and i = 5% (12 semiannual periods and a semiannual rate of 5%), the factor is 0.5568. You would need to invest $2,784 today ($5,000 x 0.5568). TABLE B.31 Present Value of an Annuity of 1 Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% NO 00 OWN 0.9901 1.9704 2.9410 3.9020 4.8534 5.7955 6.7282 7.6517 8.5660 9.4713 10.3676 11.2551 12.1337 13.0037 13.8651 14.7179 15.5623 16.3983 17.2260 18.0456 22.0232 0.9804 0.9709 1.9416 1.9135 2.8839 2.8286 3.8077 3.7171 4.7135 4.5797 5.6014 5.4172 6.4720 6.2303 7.3255 7.0197 8.1622 7.7861 8.9826 8.5302 9.7868 9.2526 10.5753 9.9540 11.3484 10.6350 12.1062 11.2961 12.8493 11.9379 13.5777 12.5611 14.291913.1661 14.9920 13.7535 15.6785 14.3238 16.3514 14.8775 19.5235 17.4131 0.9615 1.8861 2.7751 3.6299 4.4518 5.2421 6.0021 6.7327 7.4353 8.1109 8.7605 9.3851 9.9856 10.5631 11.1184 11.6523 12.1657 12.6593 13.1339 13.5903 15.6221 0.9524 1.8594 2.7232 3.5460 4.3295 5.0757 5.7864 6.4632 7.1078 7.7217 8.3064 8.8633 9.3936 9.8986 10.3797 10.8378 11.2741 11.6896 12.0853 12.4622 14.0939 5 16.3742 17.1591 0.9434 1.8334 2.6730 3.4651 4.2124 4.9173 5.5824 6.2098 6.8017 7.3601 7.8869 8.3838 8.8527 9.2950 9.7122 10.1059 10.4773 10.8276 11.1581 11.4699 12.7834 13.7648 14.4982 15.0463 0.9346 0.9259 1.8080 1.7833 2.6243 2.5771 3.3872 3.3121 4.1002 3.9927 4.7665 4.6229 5.3893 5.2064 5.9713 5.7466 6.5152 6.2469 7.0236 6.7101 7.4987 7.1390 7.9427 7.5361 8.3577 7.9038 8.7455 8.2442 9.1079 8.5595 9.4466 8.8514 9.7632 9.1216 10.05919.3719 10.3356 9.6036 10.5940 10.5940 9.8181 11.6536 10.6748 12.4090 11.2578 12.9477 11.6546 13.3317 11.9246 0.9174 0.9091 0.8929 1.7591 1.7355 1.6901 2.5313 2.4869 2.4018 3.2397 3.16993.0373 3.88973.7908 3.6048 4.4859 4.3553 4.1114 5.0330 4.8684 4.5638 5.5348 5.3349 4.9676 5.9952 5.7590 5.3282 6.4177 6.1446 5.6502 6.8052 6.4951 5.9377 7.1607 6.8137 6.1944 7.48697.1034 6.4235 7.7862 7.3667 6.6282 8.0607 7.6061 6.8109 8.3126 7.8237 6.9740 8.5436 8.0216 7.1196 8.7556 8.2014 7.2497 8.9501 8.36497.3658 9.1285 8.5136 7.4694 9.8226 9.0770 7.8431 10.2737 9.42698.0552 10.5668 9.6442 8.1755 10.75749.77918.2438 0.8696 1.6257 2.2832 2.8550 3.3522 3.7845 4.1604 4.4873 4.7716 5.0188 5.2337 5.4206 5.5831 5.7245 5.8474 5.9542 6.0472 6.1280 6.1982 6.2593 6.4641 6.5660 6.6166 6.6418 35 40 29.4086 32.8347 24.9986 27.3555 21.4872 23.1148 18.6646 19.7928 Used to calculate the present value of a series of equal payments made at the end of each period. For example: What is the present value of $2,000 per year for 10 years assuming an annual interest rate of 9%. For (n= 10,i=9%), the PV factor is 6.4177. $2,000 per year for 10 years is the equivalent of $12,835 today ($2,000 X 6.4177)