Appendix B Time Value of Money True / False Questions AppB-1 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-2 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 Interest is the borrower's payment to the owner of an asset for its use True False AppB-3 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-4 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 From the perspective of an account holder, a savings account is a liability with interest True False AppB-5 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-6 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 An interest rate is also called a discount rate True False AppB-7 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-8 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 Present and future value computations enable companies to measure or estimate the interest component of holding assets or liabilities over time True False AppB-9 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-10 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 A company is setting up a sinking fund to pay off $8,654,000 in bonds that are due in years The fund will earn 7% interest, and the company intends to put away a series of equal year-end amounts for years What is the amount of the annual deposits that the company must make? $1,000,000 Feedback: Future Value of an Annuity = Annuity * Interest Factor $8,654,000 = Annuity * 8.654; Annuity = $1,000,000 8.654 is the interest factor on the Future Value of an Annuity table; n = 7; i = 7% AACSB: Analytical Thinking AICPA: BB Industry AICPA: FN Decision Making Blooms: Apply Difficulty: Hard Learning Objective: AppB-P4 Apply future value concepts to an annuity by using interest tables Topic: Future Value of an Annuity Fill in the Blank Questions AppB-363 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 72 Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-364 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 _ is a borrower's payment to the owner of an asset for its use Interest AACSB: Communication AICPA: BB Industry AICPA: FN Decision Making Blooms: Remember Difficulty: Easy Learning Objective: AppB-C1 Describe the earning of interest and the concepts of present and future values Topic: Present and Future Value Concepts AppB-365 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education AppB-366 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 73 Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-367 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 The interest rate is also called the rate Discount AACSB: Communication AICPA: BB Industry AICPA: FN Decision Making Blooms: Understand Difficulty: Medium Learning Objective: AppB-C1 Describe the earning of interest and the concepts of present and future values Topic: Present and Future Value Concepts AppB-368 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education AppB-369 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 74 Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-370 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 To calculate present value of an amount, two factors are required: The and the _ Interest rate (i); Number of time periods (n) AACSB: Communication AICPA: BB Industry AICPA: FN Decision Making Blooms: Remember Difficulty: Easy Learning Objective: AppB-P1 Apply present value concepts to a single amount by using interest tables Topic: Present Value of a Single Amount AppB-371 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education AppB-372 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 75 Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-373 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 An _ is a series of equal payments occurring at equal intervals Annuity AACSB: Communication AICPA: BB Industry AICPA: FN Decision Making Blooms: Remember Difficulty: Easy Learning Objective: AppB-P3 Apply present value concepts to an annuity by using interest tables Topic: Present Value of an Annuity AppB-374 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education AppB-375 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 76 Present Value of Periods 3% 4% 5% 6% 7% 8% 9% 10% 12% 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 10 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 10% 12% Future Value of Periods 3% 4% 5% 6% 7% 8% 9% 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 10 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 Present Value of an Annuity of Periods 10% 12% 2.8286 3% 2.7751 4% 2.7232 5% 2.6730 6% 2.6243 7% 2.5771 8% 2.5313 9% 2.4869 2.4018 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6048 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7950 5.3282 10 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 6% 7% 8% 10% 12% Future Value of an Annuity of Periods 3% 4% 5% 9% 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.089 AppB-376 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 8.8923 9.2142 9.5491 9.8975 10.260 10.637 11.029 11.436 12.300 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 The future value of an annuity is the accumulated value of each annuity payment with interest as of the date of the final payment Ordinary AACSB: Communication AICPA: BB Industry AICPA: FN Decision Making Blooms: Remember Difficulty: Easy Learning Objective: AppB-P4 Apply future value concepts to an annuity by using interest tables Topic: Future Value of an Annuity AppB-377 Copyright © 2016 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education ... 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 Sandra has a savings account that has accumulated to $50,000 She started with $28,225, and earned interest at 10% compounded annually It took... present value of formula is often useful when a borrowed asset must be repaid in full at a later date and the borrower wants to know the worth of the asset at the future date True False AppB-15 Copyright... 13.021 13.580 14.776 10 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 17.549 Present and future value computations enable companies to measure or estimate the interest component of