On March 1, 2008, Matt purchased $60,000 of Lawson Co.'s 8%, 17-year bonds at face value. Lawson Co. has paid the annual interest due on the bonds regularly. On March 1, 2013, market interest rates had risen to 12%, and Matt is considering selling the bonds.
Use present value tables (Table 6-4 and Table 6-5)(Use appropriate factor(s) from the tables provided.)
Factors for Calculating the Present Value of $1 ( Table 6-4 )
No. of |
Discount Rate |
Periods |
2% |
4% |
6% |
8% |
10% |
12% |
14% |
16% |
18% |
20% |
1 |
0.98 |
0.9615 |
0.9434 |
0.9259 |
0.9091 |
0.8929 |
0.8772 |
0.8621 |
0.8475 |
0.8333 |
2 |
0.961 |
0.9246 |
0.8 |
0.8573 |
0.8264 |
0.7972 |
0.7695 |
0.7432 |
0.7182 |
0.6944 |
3 |
0.942 |
0.889 |
0.8396 |
0.7938 |
0.7513 |
0.7118 |
0.675 |
0.6407 |
0.W86 |
0.5787 |
4 |
0.924 |
0.8548 |
0.7921 |
0.735 |
0.683 |
0.6355 |
0.5021 |
0.5523 |
0.5158 |
OA 823 |
5 |
0.906 |
0.8219 |
0.7473 |
0.6806 |
0.6209 |
0.5674 |
0.5194 |
0.4761 |
0.4371 |
0 .4 019 |
6 |
0.888 |
0.7903 |
0.705 |
0.6302 |
0.5645 |
0.5066 |
0.4556 |
0.4104 |
0.3704 |
0.3349 |
7 |
0.871 |
0.7599 |
0.6651 |
0.5835 |
0.5132 |
0.4523 |
0.3996 |
0.3538 |
0 3139 |
0.2791 |
8 |
0.853 |
0.7307 |
0.6274 |
0.5403 |
0.4665 |
4039 |
0.3506 |
0.305 |
0.266 |
0.2326 |
9 |
0.837 |
0.7026 |
0.5919 |
0.5002 |
0.4241 |
0.3606 |
0.3075 |
0.263 |
0.2255 |
0.1938 |
10 |
0.82 |
0.6756 |
0.5584 |
OA 632 |
3855 |
0.322 |
0.2697 |
0.2267 |
0.1911 |
0.1 615 |
11 |
0.804 |
0.6496 |
0.5268 |
04 289 |
0.3505 |
0.2875 |
0.2366 |
0.1954 |
0.1619 |
0.1346 |
12 |
0.788 |
0.6246 |
0.497 |
0.3971 |
3186 |
0.2567 |
0.2076 |
0.1685 |
0.1372 |
0.1122 |
13 |
0.773 |
0.W06 |
0.4688 |
0.3677 |
0.2897 |
0.2292 |
0.1821 |
0.1452 |
0.1163 |
0.0935 |
14 |
0.758 |
0.5775 |
0.4423 |
0.3405 |
0.2633 |
0.2046 |
0.1507 |
0.1252 |
0.0985 |
0.0779 |
15 |
0.743 |
0.5553 |
0.4173 |
0.3152 |
0.2394 |
0.1827 |
0.1401 |
0.1079 |
0.0835 |
0.0649 |
16 |
0.728 |
0.5339 |
0.3936 |
0.2919 |
0.2176 |
0.1631 |
0.1229 |
0.093 |
0.0708 |
0.0541 |
17 |
0.714 |
0.5134 |
0.3714 |
0.2703 |
0.1978 |
0.1456 |
0.1078 |
0.0802 |
0.06 |
0.0451 |
18 |
0.7 |
0.4936 |
0.3503 |
0.2502 |
0.1799 |
0.13 |
0.0946 |
0.0691 |
0.0508 |
0.0376 |
19 |
0.686 |
0.4746 |
0.3305 |
0.2317 |
0.1635 |
0.1161 |
0.0829 |
0.0596 |
0.0431 |
0.0313 |
20 |
0.673 |
0.4564 |
0.3118 |
0.2145 |
0.1486 |
0.1037 |
0.0728 |
0.0514 |
0.0365 |
0.0261 |
21 |
0.6W |
0.4388 |
0.2942 |
0.1987 |
0.1351 |
0.0926 |
0.0638 |
0.0443 |
0.0309 |
0.0217 |
22 |
0.647 |
0.422 |
0.2775 |
0.1839 |
0.1228 |
0.0826 |
0.05W |
0.0382 |
0.0262 |
0.0181 |
23 |
0.634 |
0.4057 |
0.2618 |
0.1703 |
0.1117 |
0.0738 |
0.0491 |
0.0329 |
0.0222 |
0.0151 |
24 |
0.622 |
0.3901 |
0.247 |
0.1577 |
0.1015 |
0.0659 |
0.0431 |
0.0284 |
0.0188 |
0.0126 |
25 |
0.61 |
0.3751 |
0.233 |
0.14W |
0.0923 |
0.0588 |
0.0378 |
0.0245 |
0.016 |
0.0105 |
30 |
0.552 |
0.3083 |
0.1741 |
0.0994 |
0.0573 |
0.0334 |
0.0196 |
0.0116 |
0.007 |
0.0042 |
35 |
0.5 |
0.2534 |
0.1301 |
0.0676 |
0.0356 |
0.0189 |
0.0102 |
0.0055 |
0.033 |
0.0017 |
40 |
0.453 |
0.2083 |
0.0972 |
0.046 |
0.0221 |
0.0107 |
0.0053 |
0.0026 |
0.0013 |
0.0007 |
45 |
0.41 |
0.1712 |
0.0727 |
0.0313 |
0.0137 |
0.0061 |
0.0027 |
0.0013 |
0.0006 |
0.0033 |
50 |
0.372 |
0.1407 |
0.0543 |
0.0213 |
0.0085 |
0.0035 |
0.0014 |
0.0006 |
0.0003 |
0.0001 |
Table 6-5 Factors for Calculating the Present Value of an Annuity of $1
No. of |
Discount Rate |
Periods |
2% |
4% |
6% |
8% |
10% |
12% |
14% |
16% |
18% |
20% |
1 |
0.98 |
0.9615 |
0.9434 |
0.9259 |
0.9091 |
0.8929 |
0.8772 |
0.8621 |
0.8475 |
0.8333 |
2 |
1.942 |
1.8861 |
1.8334 |
1.7833 |
1.7355 |
1 .6C01 |
1.6467 |
1.6052 |
1.5656 |
1.5278 |
3 |
2.884 |
2.7751 |
2.673 |
2.5771 |
2.48w |
2.4018 |
2.3216 |
2.2459 |
2.1743 |
2.1065 |
4 |
3.808 |
3.6299 |
3.4651 |
33121 |
3.1609 |
3.0373 |
2.9137 |
2.7982 |
2.6901 |
2.5887 |
5 |
4.713 |
4.4518 |
4.2124 |
3.9927 |
3.7908 |
3.6048 |
3.4331 |
3.2743 |
3.1272 |
2.9906 |
6 |
5.601 |
5.2421 |
4.9173 |
4.6229 |
4.3553 |
4.1114 |
3.8887 |
3.6847 |
34976 |
3.3255 |
7 |
6.472 |
6.0021 |
5.5824 |
5.2064 |
4.8684 |
4.5638 |
4.2883 |
4.0386 |
3.8115 |
3.6046 |
8 |
7325 |
6.7327 |
6.2098 |
5.7466 |
5.3349 |
4.9676 |
4.6389 |
4.3436 |
4.0776 |
3.8372 |
9 |
8.162 |
7.4353 |
6.8017 |
6.2469 |
5.759 |
53282 |
4.9464 |
4.6066 |
4.303 |
4.031 |
10 |
8.983 |
8.1109 |
73601 |
6.7101 |
6.1446 |
5.6502 |
5.2161 |
4.8332 |
4 4941 |
4.1925 |
11 |
9.787 |
8.7605 |
7.8869 |
7.139 |
6.4951 |
5.9377 |
54527 |
5.0286 |
4.656 |
43271 |
12 |
10.575 |
9.3851 |
8.3838 |
7.5361 |
6.8137 |
6.1944 |
5.6603 |
5.1971 |
4.7932 |
4A392 |
13 |
11.348 |
9.9856 |
8.8527 |
7.9038 |
7.1034 |
6A235 |
5.8424 |
5.3423 |
4.9395 |
4.5327 |
14 |
12.106 |
10.5631 |
9.295 |
8.2442 |
7.3667 |
6.6282 |
6.0021 |
5A675 |
5.0081 |
4.6106 |
15 |
12.849 |
11.1184 |
9.7122 |
8.5595 |
7.6061 |
6.8109 |
6.1422 |
5.5755 |
5.0916 |
4.6755 |
16 |
13.578 |
11.6523 |
10.1059 |
8.8514 |
7.8237 |
6.974 |
6.2651 |
5.6685 |
5.1624 |
4.7296 |
17 |
14.292 |
12.1657 |
104773 |
9.1216 |
8.0216 |
7.1196 |
63729 |
5.7487 |
5.2223 |
4.7746 |
18 |
14.992 |
12.6593 |
10.8276 |
93719 |
8.2014 |
7.2497 |
6A674 |
5.8178 |
5.2732 |
4.8122 |
19 |
15.678 |
13.1339 |
11.1581 |
9.6036 |
83649 |
73658 |
6.5504 |
5.8775 |
53162 |
4.8435 |
20 |
16.351 |
13.5933 |
11 A 699 |
9.8181 |
8.5136 |
7.A694 |
6.6231 |
5.9288 |
5.3527 |
4.8696 |
21 |
17.011 |
14.0292 |
11.7641 |
10.0168 |
8.6487 |
7.562 |
6.687 |
5.9731 |
5.3837 |
4.8913 |
22 |
17.658 |
14.4511 |
12.0416 |
10.2007 |
8.7715 |
7.6446 |
6.7429 |
6.0113 |
5.4099 |
4.9094 |
23 |
18.292 |
14.8568 |
12.3034 |
10.3711 |
8.8832 |
7.7184 |
6.7921 |
6.0442 |
54321 |
4.9245 |
24 |
18.914 |
15.247 |
12.5504 |
10.5288 |
8.9847 |
7.7843 |
6.8351 |
6.0726 |
5.4509 |
4.9371 |
25 |
19.523 |
15.6221 |
12.7834 |
10.6748 |
9.077 |
7.8431 |
6.8729 |
6.0971 |
5.4609 |
4.9476 |
30 |
22.396 |
17.292 |
13.7648 |
11.2578 |
9.4269 |
8.0552 |
7.0027 |
6.1772 |
5.5168 |
4.9789 |
35 |
24.E |
18.6646 |
144982 |
11.6546 |
9.6442 |
8.1755 |
7.07 |
6.2153 |
5.5386 |
4.9915 |
40 |
27.355 |
19.7928 |
15.0463 |
11.9246 |
9.7791 |
8.2438 |
7.105 |
6.2335 |
5.5482 |
4.9966 |
45 |
29.49 |
20.72 |
15.4558 |
12.1084 |
9.8628 |
8.2825 |
7.1232 |
6.2421 |
5.5523 |
4.9986 |
50 |
31.424 |
21.4822 |
15.7619 |
12.2335 |
9.9148 |
8.3045 |
7.1327 |
6.2463 |
5.5541 |
4.9995 |