Answer the following questions. Table 6-4 or Table 6-5. (Use appropriate factor(s) from the tables provided. Round the PV factors to 4 decimals.) Required:
- Spencer Co.'s common stock is expected to have a dividend of $8 per share for each of the next 14 years, and it is estimated that the market value per share will be $144 at the end of 14 years. If an investor requires a return on investment of 10%, what is the maximum price the investor would be willing to pay for a share of Spencer Co. common stock today?
- Mario bought a bond with a face amount of $1,000, a stated interest rate of 4%, and a maturity date 20 years in the future for $990. The bond pays interest on an annual basis. Three years have gone by and the market interest rate is now 14%. What is the market value of the bond today?
- Alexis purchased a U.S. Series EE savings bond for $450, and eight years later received $832.87 when the bond was redeemed. What average annual return on investment did Alexis earn over the eight years?
TABLE 6.4 FACTORS FOR CALCULATING THE PRESENT VALUE OF $1 No. of Periods Discount Rate 10% 12% 2% 4% 6% 8% 14% 16% 18% 20% 1 2. 3 4 0.980 0.961 0.942 0.924 0.906 0.9615 0.9246 0.8890 0.8548 0.8219 0.9434 0.8900 0.8396 0.7921 0.7473 0.9259 0.8573 0.7938 0.7350 0.6806 0.9091 0.8264 0.7513 0.6830 0.6209 0.8929 0.7972 0.7118 0.6355 0.5674 0.8772 0.7695 0.6750 0.5921 0.5194 0.8621 0.7432 0.6407 0.5523 0.4761 0.8475 0.7182 0.6086 0.5158 0.4371 0.8333 0.6944 0.5787 0.4823 0.4019 5 0 6 7 8 9 10 0.888 0.871 0.853 0.837 0.820 0.7903 0.7599 0.7307 0.7026 0.6756 0.7050 0.6651 0.6274 0.5919 0.5584 0.6302 0.5835 0.5403 0.5002 0.4632 0.5645 0.5132 0.4665 0.4241 0.3855 0.5066 0.4523 0.4039 0.3606 0.3220 0.4556 0.3996 0.3506 0.3075 0.2697 0.4104 0.3538 0.3050 0.2630 0.2267 0.3704 0.3139 0.2660 0.2255 0.1911 0.3349 0.2791 0.2326 0.1938 0.1615 11 12 13 14 15 0.804 0.788 0.773 0.758 0.743 0.6496 0.6246 0.6006 0.5775 0.5553 0.5268 0.4970 0.4688 0.4423 0.4173 0.4289 0.3971 0.3677 0.3405 0.3152 0.3505 0.3186 0.2897 0.2633 0.2394 0.2875 0.2567 0.2292 0.2046 0.1827 0.2366 0.2076 0.1821 0.1597 0.1401 0.1954 0.1685 0.1452 0.1252 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 17 18 19 20 0.728 0.714 0.700 0.686 0.673 0.5339 0.5134 0.4936 0.4746 0.4564 0.3936 0.3714 0.3503 0.3305 0.3118 0.2919 0.2703 0.2502 0.2317 0.2145 0.2176 0.1978 0.1799 0.1635 0.1486 0.1631 0.1456 0.1300 0.1161 0.1037 0.1229 0.1078 0.0946 0.0829 0.0728 0.0930 0.0802 0.0691 0.0596 0.0514 0.0708 0.0600 0.0508 0.0431 0.0365 0.0541 0.0451 0.0376 0.0313 0.0261 21 22 23 24 25 0.660 0.647 0.634 0.622 0.610 0.4388 0.4220 0.4057 0.3901 0.3751 0.2942 0.2775 0.2618 0.2470 0.2330 0.1987 0.1839 0.1703 0.1577 0.1460 0.1351 0.1228 0.1117 0.1015 0.0923 0.0926 0.0826 0.0738 0.0659 0.0588 0.0638 0.0560 0.0491 0.0431 0.0378 0.0443 0.0382 0.0329 0.0284 0.0245 0.0309 0.0262 0.0222 0.0188 0.0160 0.0217 0.0181 0.0151 0.0126 0.0105 30 35 40 45 50 0.552 0.500 0.453 0.410 0.372 0.3083 0.2534 0.2083 0.1712 0.1407 0.1741 0.1301 0.0972 0.0727 0.0543 0.0994 0.0676 0.0460 0.0313 0.0213 0.0573 0.0356 0.0221 0.0137 0.0085 0.0334 0.0189 0.0107 0.0061 0.0035 0.0196 0.0102 0.0053 0.0027 0.0014 0.0116 0.0055 0.0026 0.0013 0.0006 0.0070 0.0030 0.0013 0.0006 0.0003 0.0042 0.0017 0.0007 0.0003 0.0001 TABLE 6.5 FACTORS FOR CALCULATING THE PRESENT VALUE OF AN ANNUITY OF $1 Discount Rate No. of Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 1 2 3 0.980 1.942 2.884 3.808 4.713 0.9615 1.8861 2.7751 3.6299 4.4518 0.9434 1.8334 2.6730 3.4651 4.2124 0.9259 1.7833 2.5771 3.3121 3.9927 0.9091 1.7355 2.4869 3.1699 3.7908 0.8929 1.6901 2.4018 3.0373 3.6048 0.8772 1.6467 2.3216 2.9137 3.4331 0.8621 1.6052 2.2459 2.7982 3.2743 0.8475 1.5656 2.1743 2.6901 3.1272 0.8333 1.5278 2.1065 2.5887 2.9906 4 5 6 7 8 9 10 5.601 6.472 7.325 8.162 8.983 5.2421 6.0021 6.7327 7.4353 8.1109 4.9173 5.5824 6.2098 6.8017 7.3601 4.6229 5.2064 5.7466 6.2469 6.7101 4.3553 4.8684 5.3349 5.7590 6.1446 4.1114 4.5638 4.9676 5.3282 5.6502 3.8887 4.2883 4.6389 4.9464 5.2161 3.6847 4.0386 4.3436 4.6065 4.8332 3.4976 3.8115 4.0776 4.3030 4.4941 3.3255 3.6046 3.8372 4.0310 4.1925 11 12 13 14 15 9.787 10.575 11.348 12.106 12.849 8.7605 7.8869 9.3851 8.3838 9.9856 8.8527 10.5631 9.2950 11.1184 9.7122 7.1390 7.5361 7.9038 8.2442 8.5595 6.4951 6.8137 7.1034 7.3667 7.6061 5.9377 6.1944 6.4235 6.6282 6.8109 5.4527 5.6603 5.8424 6.0021 6.1422 5.0286 5.1971 5.3423 5.4675 5.5755 4.6560 4.7932 4.9095 5.0081 5.0916 4.3271 4.4392 4.5327 4.6106 4.6755 16 17 18 19 20 13.578 11.6523 10.1059 14.292 12.1657 10.4773 14.992 12.6593 10.8276 15.678 13.1339 11.1581 16.351 13.5903 11.4699 8.8514 9.1216 9.3719 9.6036 9.8181 7.8237 8.0216 8.2014 8.3649 8.5136 6.9740 7.1196 7.2497 7.3658 7.4694 6.2651 6.3729 6.4674 6.5504 6.6231 5.6685 5.7487 5.8178 5.8775 5.9288 5.1624 5.2223 5.2732 5.3162 5.3527 4.7296 4.7746 4.8122 4.8435 4.8696 21 22 23 24 25 17.011 14.0292 11.7641 17.658 14.4511 12.0416 18.292 14.8568 12.3034 18.914 15.2470 12.5504 19.523 15.6221 12.7834 10.0168 10.2007 10.3711 10.5288 10.6748 8.6487 8.7715 8.8832 8.9847 9.0770 7.5620 7.6446 7.7184 7.7843 7.8431 6.6870 6.7429 6.7921 6.8351 6.8729 5.9731 6.0113 6.0442 6.0726 6.0971 5.3837 5.4099 5.4321 5.4509 5.4669 4.8913 4.9094 4.9245 4.9371 4.9476 30 35 40 45 50 22.396 24.999 27.355 29.490 31.424 17.2920 13.7648 18.6646 14.4982 19.7928 15.0463 20.7200 15.4558 21.4822 15.7619 11.2578 11.6546 11.9246 12.1084 12.2335 9.4269 9.6442 9.7791 9.8628 9.9148 8.0552 8.1755 8.2438 8.2825 8.3045 7.0027 7.0700 7.1050 7.1232 7.1327 6.1772 6.2153 6.2335 6.2421 6.2463 5.5168 5.5386 5.5482 5.5523 5.5541 4.9789 4.9915 4.9966 4.9986 4.9995