The present value of $30,000 to be received in 5 years at an interest rate of 16%, compounded annually, is $14,283.

Using a present value table (Table 6-4 and Table 6-5), calculate the present value of $30,000 for each of the following items (parts af) using these facts: (Use appropriate factor(s) from the tables provided.)

a. Interest is compounded semiannually.

Present value =

b. Interest is compounded quarterly.

Present value =

c. A discount rate of 14% is used.

Present value =

d. A discount rate of 20% is used.

Present value =

e. The cash will be received in 3 years.

Present value =

f. The cash will be received in 7 years.

Present value =

TABLE 6.5 FACTORS FOR CALCULATING THE PRESENT VALUE OF AN ANNUITY OF $1 Discount Rate No. of Periods 2% A% 6% 8% 1 0% 12% 14% 16% 18% 20% 0.980 0.9615 0.9434 0.9259 0.9091 0.8929 0.8772 0.8621 0.8475 0.8333 1.942 1.8861 1.8334 1.7833 1.7355 1.69011.6467 1.6052 1.5656 .5278 2.884 2.7751 2.6730 2.5771 2.4869 2.4018 2.3216 2.2459 2.1743 2.1065 3.808 3.6299 3.4651 3.3121 3.1699 3.0373 2.9137 2.7982 2.6901 2.5887 4.713 4.4518 4.2124 3.9927 3.7908 3.6048 3.4331 3.2743 3.1272 2.9906 5.601 5.2421 4.9173 4.6229 4.3553 4.1114 3.8887 3.6847 3.4976 3.3255 6.472 6.00215.5824 5.2064 4.8684 4.5638 4.2883 4.0386 3.8115 3.6046 7.325 6.7327 6.2098 5.7466 5.3349 4.9676 4.6389 4.3436 4.0776 3.8372 8.162 7.4353 6.8017 6.2469 5.7590 5.3282 4.9464 4.6065 4.3030 4.0310 8.983 8.1109 7.3601 6.71016.1446 5.6502 5.2161 4.8332 4.4941 4.1925 2 10 9.787 8.7605 7.8869 7.1390 6.4951 5.93775.4527 5.0286 4.6560 4.3271 10.575 9.3851 8.3838 7.5361 6.8137 6.1944 5.6603 5.1971 4.7932 4.4392 11.348 9.9856 8.8527 7.90387.1034 6.4235 5.8424 5.3423 4.9095 4.5327 12.106 10.5631 9.2950 8.2442 7.3667 6.6282 6.0021 5.4675 5.0081 4.6106 2.849 11.1184 9.7122 8.5595 7.6061 6.8109 6.1422 5.5755 5.0916 4.6755 5 12 16 13.578 11.6523 10.1059 8.8514 7.8237 6.9740 6.2651 5.6685 5.1624 4.7296 14.292 12.1657 10.4773 9.1216 8.0216 7.1196 6.3729 5.74875.2223 4.7746 14.992 12.6593 10.8276 9.3719 8.2014 7.2497 6.4674 5.8178 5.2732 4.8122 15.678 13.1339 11.1581 9.60368.3649 7.36586.5504 5.87755.3162 4.8435 16.351 13.5903 11.4699 9.8181 8.5136 7.4694 6.6231 5.9288 5.3527 4.8696 17.011 14.0292 11.7641 10.0168 8.6487 7.5620 6.687O 5.9731 5.3837 4.8913 17.658 14.4511 12.0416 10.2007 8.7715 7.64466.7429 6.0113 5.4099 4.9094 18.292 14.8568 12.3034 10.3711 8.8832 7.7184 6.7921 6.0442 5.4321 4.9245 18.914 15.2470 12.5504 10.5288 8.98477.7843 6.8351 6.0726 5.4509 4.9371 19.523 15.6221 12.7834 10.6748 9.0770 7.8431 6.8729 6.0971 5.4669 49476 7 23 24 25 7 1 22.396 17.2920 13.7648 11.2578 9.4269 8.0552 7.0027 6.1772 5.5168 4.9789 24.999 18.6646 14.4982 11.65469.6442 8.1755 7.0700 6.2153 5.5386 4.9915 27.355 19.7928 15.0463 11.9246 9.7791 8.2438 7.1050 6.2335 5.5482 4.9966 29.490 20.7200 15.4558 12.1084 9.8628 8.2825 7.1232 6.2421 5.5523 4.9986 31.424 21.4822 15.7619 12.2335 9.9148 8.3045 7.1327 6.2463 5.5541 4.9995 40 45 0 7