For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the discount rate. (Round percentages to 1 decimal place, e.g. 15.1%.)

(1) In Table 3 (future value of 1):

(2) In Table 2 (future value of an annuity of 1):

For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the discount rate. (Round percentages to 1 decimal place, e.g. 15.1%.) (1) In Table 3 (future value of 1): Discounts Number of Years Involved Annual Rate per Year Case A 10% 8 Annually Case B 10% Semianually Case C 8% 10 Semiannually (a) (b) Case A % periods Case B % periods Case C % periods (2) In Table 2 (future value of an annuity of 1): Number of Years Involved Number of Payments Involved Frequency of Payments Annual Rate Case A 8% 19 19 Annually Case B 8% 5 5 Annually Case C 10% 5 10 Semiannually (a) (b) Case A % periods Case B % periods Case C % periods TABLE 1 Future Value of 1 (n) Periods 4% 7% 8% 9% 10% 11% 12% 15% 0 2 3 4 5 1.00000 1.04000 1.08160 1.12486 1.16986 1.21665 1.26532 1.31593 1.36857 1.42331 1.48024 5% 1.00000 1.05000 1.10250 1.15763 1.21551 1.27628 6% 1.00000 1.06000 1.12360 1.19102 1.26248 1.33823 1.41852 1.50363 1.59385 1.68948 1.79085 1.00000 1.07000 1.14490 1.22504 1.31080 1.40255 1.50073 1.60578 1.71819 1.83846 1.96715 1.00000 1.08000 1.16640 1.25971 1.36049 1.46933 1.58687 1.71382 1.85093 1.99900 2.15892 1.00000 1.09000 1.18810 1.29503 1.41158 1.53862 1.67710 1.82804 1.99256 2.17189 2.36736 1.00000 1.10000 1.21000 1.33100 1.46410 1.61051 1.00000 1.11000 1.23210 1.36763 1.51807 1.68506 1.00000 1.12000 1.25440 1.40493 1.57352 1.76234 1.97382 2.21068 2.47596 2.77308 3.10585 1.00000 1.15000 1.32250 1.52088 1.74901 2.01136 2.31306 2.66002 3.05902 3.51788 4.04556 6 7 8 9 10 1.34010 1.40710 1.47746 1.55133 1.62889 1.77156 1.94872 2.14359 2.35795 2.59374 1.87041 2.07616 2.30454 2.55803 2.83942 11 12 13 14 15 1.53945 1.60103 1.66507 1.73168 1.80094 1.87298 1.94790 2.02582 2.10685 2.19112 1.71034 1.79586 1.88565 1.97993 2.07893 2.18287 2.29202 2.40662 2.52695 2.65330 1.89830 2.01220 2.13293 2.26090 2.39656 2.54035 2.69277 2.85434 3.02560 3.20714 2.10485 2.25219 2.40985 2.57853 2.75903 2.95216 3.15882 3.37993 3.61653 3.86968 2.33164 2.51817 2.71962 2.93719 3.17217 3.42594 3.70002 3.99602 4.31570 4.66096 2.58043 2.81267 3.06581 3.34173 3.64248 3.97031 4.32763 4.71712 5.14166 5.60441 2.85312 3.13843 3.45227 3.79750 4.17725 4.59497 5.05447 5.55992 6.11591 6.72750 3.15176 3.49845 3.88328 4.31044 4.78459 5.31089 5.89509 6.54355 7.26334 8.06231 3.47855 3.89598 4.36349 4.88711 5.47357 6.13039 6.86604 7.68997 8.61276 9.64629 4.65239 5.35025 6.15279 7.07571 8.13706 9.35762 10.76126 12.37545 14.23177 16.36654 16 17 18 19 20 TABLE 2 Future Value of an Annuity of 1 (n) Payments 4% 5% 6% 7% 8% 9% 10% 11% 12% 15% 1.00000 1.00000 1.00000 1.0000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 2 2.04000 2.05000 2.06000 2.0700 2.08000 2.09000 2.10000 2.11000 2.12000 2.15000 3 3.12160 3.15250 3.18360 3.2149 3.24640 3.27810 3.31000 3.34210 3.37440 3.47250 4 4.24646 4.31013 4.37462 4.4399 4.50611 4.57313 4.64100 4.70973 4.77933 4.99338 5 5.41632 5.52563 5.63709 5.7507 5.86660 5.98471 6.10510 6.22780 6.35285 6.74238 6 6.63298 6.80191 6.97532 7.1533 7.33592 7.52334 7.71561 7.91286 8.11519 8.75374 7 7.89829 8.14201 8.39384 8.6540 8.92280 9.20044 9.48717 9.78327 10.08901 11.06680 8 9.21423 9.54911 9.89747 10.2598 10.63663 11.02847 11.43589 11.85943 12.29969 13.72682 9 10.58280 11.02656 11.49132 11.9780 12.48756 13.02104 13.57948 14.16397 14.77566 16.78584 10 12.00611 12.57789 13.18079 13.8164 14.48656 15.19293 15.93743 16.72201 17.54874 20.30372 11 13.48635 14.20679 14.97164 15.7836 16.64549 17.56029 18.53117 19.56143 20.65458 24.34928 12 15.02581 15.91713 16.86994 17.8885 18.97713 20.14072 21.38428 22.71319 24.13313 29.00167 13 16.62684 17.71298 18.88214 20.1406 21.49530 22.95339 24.52271 26.21164 28.02911 34.35192 14 18.29191 19.59863 21.01507 22.5505 24.21492 26.01919 27.97498 30.09492 32.39260 40.50471 15 20.02359 21.57856 23.27597 25.1290 27.15211 29.36092 31.77248 34.40536 37.27972 47.58041 16 21.82453 23.65749 25.67253 27.8881 30.32428 33.00340 35.94973 39.18995 42.75328 55.71747 17 23.69751 25.84037 28.21288 30.8402 33.75023 36.97351 40.54470 44.50084 48.88367 65.07509 18 25.64541 28.13238 30.90565 33.9990 37.45024 41.30134 45.59917 50.39593 55.74972 75.83636 19 27.67123 30.53900 33.75999 37.3790 41.44626 46.01846 51.15909 56.93949 63.43968 88.21181 20 29.77808 33.06595 36.78559 40.9955 45.76196 51.16012 57.27500 64.20283 72.05244 102.44358

Question

For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the discount rate. (Round percentages to 1 decimal place, e.g. 15.1%.)

(1) In Table 3 (future value of 1):

(2) In Table 2 (future value of an annuity of 1):

image text in transcribed

For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the discount rate. (Round percentages to 1 decimal place, e.g. 15.1%.) (1) In Table 3 (future value of 1): Discounts Number of Years Involved Annual Rate per Year Case A 10% 8 Annually Case B 10% Semianually Case C 8% 10 Semiannually (a) (b) Case A % periods Case B % periods Case C % periods (2) In Table 2 (future value of an annuity of 1): Number of Years Involved Number of Payments Involved Frequency of Payments Annual Rate Case A 8% 19 19 Annually Case B 8% 5 5 Annually Case C 10% 5 10 Semiannually (a) (b) Case A % periods Case B % periods Case C % periods TABLE 1 Future Value of 1 (n) Periods 4% 7% 8% 9% 10% 11% 12% 15% 0 2 3 4 5 1.00000 1.04000 1.08160 1.12486 1.16986 1.21665 1.26532 1.31593 1.36857 1.42331 1.48024 5% 1.00000 1.05000 1.10250 1.15763 1.21551 1.27628 6% 1.00000 1.06000 1.12360 1.19102 1.26248 1.33823 1.41852 1.50363 1.59385 1.68948 1.79085 1.00000 1.07000 1.14490 1.22504 1.31080 1.40255 1.50073 1.60578 1.71819 1.83846 1.96715 1.00000 1.08000 1.16640 1.25971 1.36049 1.46933 1.58687 1.71382 1.85093 1.99900 2.15892 1.00000 1.09000 1.18810 1.29503 1.41158 1.53862 1.67710 1.82804 1.99256 2.17189 2.36736 1.00000 1.10000 1.21000 1.33100 1.46410 1.61051 1.00000 1.11000 1.23210 1.36763 1.51807 1.68506 1.00000 1.12000 1.25440 1.40493 1.57352 1.76234 1.97382 2.21068 2.47596 2.77308 3.10585 1.00000 1.15000 1.32250 1.52088 1.74901 2.01136 2.31306 2.66002 3.05902 3.51788 4.04556 6 7 8 9 10 1.34010 1.40710 1.47746 1.55133 1.62889 1.77156 1.94872 2.14359 2.35795 2.59374 1.87041 2.07616 2.30454 2.55803 2.83942 11 12 13 14 15 1.53945 1.60103 1.66507 1.73168 1.80094 1.87298 1.94790 2.02582 2.10685 2.19112 1.71034 1.79586 1.88565 1.97993 2.07893 2.18287 2.29202 2.40662 2.52695 2.65330 1.89830 2.01220 2.13293 2.26090 2.39656 2.54035 2.69277 2.85434 3.02560 3.20714 2.10485 2.25219 2.40985 2.57853 2.75903 2.95216 3.15882 3.37993 3.61653 3.86968 2.33164 2.51817 2.71962 2.93719 3.17217 3.42594 3.70002 3.99602 4.31570 4.66096 2.58043 2.81267 3.06581 3.34173 3.64248 3.97031 4.32763 4.71712 5.14166 5.60441 2.85312 3.13843 3.45227 3.79750 4.17725 4.59497 5.05447 5.55992 6.11591 6.72750 3.15176 3.49845 3.88328 4.31044 4.78459 5.31089 5.89509 6.54355 7.26334 8.06231 3.47855 3.89598 4.36349 4.88711 5.47357 6.13039 6.86604 7.68997 8.61276 9.64629 4.65239 5.35025 6.15279 7.07571 8.13706 9.35762 10.76126 12.37545 14.23177 16.36654 16 17 18 19 20 TABLE 2 Future Value of an Annuity of 1 (n) Payments 4% 5% 6% 7% 8% 9% 10% 11% 12% 15% 1.00000 1.00000 1.00000 1.0000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 2 2.04000 2.05000 2.06000 2.0700 2.08000 2.09000 2.10000 2.11000 2.12000 2.15000 3 3.12160 3.15250 3.18360 3.2149 3.24640 3.27810 3.31000 3.34210 3.37440 3.47250 4 4.24646 4.31013 4.37462 4.4399 4.50611 4.57313 4.64100 4.70973 4.77933 4.99338 5 5.41632 5.52563 5.63709 5.7507 5.86660 5.98471 6.10510 6.22780 6.35285 6.74238 6 6.63298 6.80191 6.97532 7.1533 7.33592 7.52334 7.71561 7.91286 8.11519 8.75374 7 7.89829 8.14201 8.39384 8.6540 8.92280 9.20044 9.48717 9.78327 10.08901 11.06680 8 9.21423 9.54911 9.89747 10.2598 10.63663 11.02847 11.43589 11.85943 12.29969 13.72682 9 10.58280 11.02656 11.49132 11.9780 12.48756 13.02104 13.57948 14.16397 14.77566 16.78584 10 12.00611 12.57789 13.18079 13.8164 14.48656 15.19293 15.93743 16.72201 17.54874 20.30372 11 13.48635 14.20679 14.97164 15.7836 16.64549 17.56029 18.53117 19.56143 20.65458 24.34928 12 15.02581 15.91713 16.86994 17.8885 18.97713 20.14072 21.38428 22.71319 24.13313 29.00167 13 16.62684 17.71298 18.88214 20.1406 21.49530 22.95339 24.52271 26.21164 28.02911 34.35192 14 18.29191 19.59863 21.01507 22.5505 24.21492 26.01919 27.97498 30.09492 32.39260 40.50471 15 20.02359 21.57856 23.27597 25.1290 27.15211 29.36092 31.77248 34.40536 37.27972 47.58041 16 21.82453 23.65749 25.67253 27.8881 30.32428 33.00340 35.94973 39.18995 42.75328 55.71747 17 23.69751 25.84037 28.21288 30.8402 33.75023 36.97351 40.54470 44.50084 48.88367 65.07509 18 25.64541 28.13238 30.90565 33.9990 37.45024 41.30134 45.59917 50.39593 55.74972 75.83636 19 27.67123 30.53900 33.75999 37.3790 41.44626 46.01846 51.15909 56.93949 63.43968 88.21181 20 29.77808 33.06595 36.78559 40.9955 45.76196 51.16012 57.27500 64.20283 72.05244 102.44358