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On January 1, a company agrees to pay $28,000 in nine years. If the annual interest rate is 3%, determine how much cash the company can borrow with this agreement. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.)

On January 1, a company agrees to pay $28,000 in nine years. If the annual interest rate is 3%, determine how much cash the company can borrow with this agreement. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.)

FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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On January 1, a company agrees to pay $28,000 in nine years. If the annual interest rate is 3%, determine how much cash the company can borrow with this agreement. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.)

Amount Borrowed Future Value Table Factor
Transcribed Image Text:Amount Borrowed Future Value Table Factor
TABLE B.1 p = 1/(1 + iy" %3D Present Value of 1 Rate Perlods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0.9174 0.8417 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9091 0.8929 0.8696 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8264 0.7972 0.7561 0.9423 0.9238 0.9057 0.9151 0.8885 0.8626 0.7513 0.6830 0.6209 0.9706 0.8638 0.7938 0.7722 0.7084 0.6499 3 0.8890 0.8396 0.8163 0.7118 0.6575 4 0.9610 0.8548 0.8219 0.8227 0.7921 0.7473 0.7050 0.7629 0.7130 0.7350 0.9515 0.9420 0.6355 0.5674 0.5066 0.5718 0.4972 0.7835 0.6806 0.8880 0.8375 0.7903 0.7462 0.6663 0.6302 0.5963 0.5645 0.4323 0.5470 0.5019 0.4604 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5403 0.5002 0.5132 0.4523 0.3759 8. 0.9235 0.8535 0.8368 0.7894 0.7307 0.6768 0.6446 0.6274 0.5820 0.4665 0.4039 0.3269 0.9143 0.7664 0.7026 0.5919 0.5439 0.4241 0.3606 0.2843 0.9053 0.8963 0.8874 0.8787 0.6756 0.6496 0.6139 0.5847 10 0.8203 0.7441 0.3855 0.3220 0.5584 0.5268 0.5083 0.4632 0.4224 0.2472 0.8043 0.7885 0.7224 0.4751 0.3875 0.3505 0.2875 0.2567 0.2292 11 0.4289 0.2149 0.7014 0.4970 0.4688 12 0.6246 0.3186 0.1869 0.5568 0.5303 0.4440 0.4150 0.3971 0.3677 0.3555 0.3262 13 0.7730 0.6810 0.6006 0.2897 0.1625 0.8700 0.8613 0.8528 0.7579 0.7430 0.7284 0.6611 0.6419 0.4423 0.4173 0.3405 0.3152 0.2992 0.2745 0.2633 0.2394 0.1413 0.1229 14 0.5775 0.5051 0.4810 0.3878 0.3624 0.2046 0.1827 15 0.5553 0.4581 0.4363 16 0.6232 0.5339 0.3936 0.3387 0.2919 0.2519 0.2176 0.1631 0.1069 0.6050 0.5874 0.5703 17 0.8444 0.7142 0.5134 0.3714 0.3166 0.2703 0.2311 0.1978 0.1456 0.0929 0.8360 0.8277 0.7002 0.6864 0.4936 0.4746 18 0.4155 0.3503 0.3305 0.2959 0.2502 0.2317 0.2120 0.1799 0.1300 0.1161 0.0808 0.3957 19 20 0.2765 0.1945 0.1635 0.0703 0.5537 0.4776 0.4120 0.1784 0.1160 0.0754 0.0490 0.0318 0.8195 0.6730 0.4564 0.3769 0.3118 0.2584 0.2145 0.1486 0.1037 0.0611 0.7798 0.2953 0.2314 25 0.6095 0.3751 0.2330 0.1842 0.1460 0.0923 0.0588 0.0304 0.0994 0.0676 30 0.7419 0.5521 0.3083 0.0151 0.1741 0.1301 0.0972 0.1314 0.0573 0.5000 0.4529 0.0334 0.0189 0.0107 0.0937 35 40 0.0075 0.0037 0.7059 0.3554 0.2534 0.1813 0.0356 0.0221 0.6717 0.3066 0.2083 0.1420 0.0668 0.0460 *Used to compute the present valuc of a known future amount. For example: How much would you nced to invest today at 10% compounded semiannually to accumulate $5,000 in 6 years from today? Using the factors of n= 12 and i = 5% (12 semiannual periods and a semiannual rate of 5%), the factor is 0.5568. You would need to invest $2,784 today ($5,000x0.5568). TABLE B.2* f = (1+ iy" Future Value of 1 Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1.0000 1.0000 1.0400 1.0000 1.0000 1.0000 1.0300 1.0609 1.0000 1.0500 1.1025 1.0000 1.0600 1.1236 1.0000 1.0000 1.0000 1.0000 1.0000 1.0700 1.1449 1.0800 1.1664 1.2597 1.3605 1.0900 1.1881 1.1200 1.2544 1.4049 1.1500 1.3225 1.5209 1.0100 1.0200 1.1000 1.2100 1.3310 1.4641 1.0201 1.0404 1.0816 3 1.0303 1.0612 1.0927 1.1249 1.1576 1.1910 1.2250 1.2950 1.0406 1.0510 1.0615 1.0721 1.0829 1.0824 1.1041 1.1262 1.1699 1.2167 1.2653 1.4116 1.5386 1.6771 1.5735 1.7623 1.9738 1.7490 1.1255 1.1593 1.1941 1.2155 1.2763 1.3401 1.2625 1.3382 1.4185 1.3108 1.4026 1.5007 1.4693 1.6105 1.7716 2.0114 2.3131 6 1.5869 1.3159 1.3686 1.4233 1.4802 1.4071 1.4775 1.5513 2.2107 2.4760 2.7731 3.1058 3.4785 7 1.1487 1.2299 1.9487 1.5036 1.5938 1.6895 1.6058 1.7138 1.8509 1.9990 2.1589 1.8280 1.9926 2.1719 2.3674 2.6600 8 1.1717 1.0937 1.1046 1.2668 1.3048 1.3439 1.7182 1.8385 2.1436 2.3579 2.5937 3.0590 3.5179 4.0456 9 1.1951 1.2190 1.6289 1.7103 1.9672 2.1049 10 1.7908 11 1.1157 1.2434 1.2682 1.3842 1.4258 1.5395 1.8983 2.3316 2.5804 2.8531 4.6524 2.8127 5.3503 6.1528 12 1.1268 1.6010 1.7959 2.0122 2.2522 2.5182 3.1384 3.8960 13 1.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.4523 4.3635 1.5126 1.5580 1.6047 1.9799 2.0789 2.1829 2.5785 2.7590 2.9522 3.1588 14 1.1495 1.1610 1.3195 1.3459 1.3728 1.7317 1.8009 2.2609 2.9372 3.1722 3.3417 3.7975 4.1772 4.5950 5.0545 4.8871 15 16 2.3966 2.5404 3.6425 3.9703 4.3276 5.4736 6.1304 6.8660 7.0757 8.1371 9.3576 1.1726 1.8730 3.4259 17 1.1843 1.4002 1.6528 1.9479 2.2920 2.6928 3.7000 10.7613 12.3755 14.2318 1.1961 1.4282 18 19 20 25 1.7024 1.7535 1.8061 3.3799 3.6165 3.8697 5.4274 4.7171 5.1417 5.6044 2.0258 2.1068 2.4066 2.5270 2.6533 3.3864 2.8543 3.0256 3.2071 3.9960 4.3157 4.6610 5.5599 6.1159 7.6900 8.6128 9.6463 1.2081 1.4568 1.4859 1.2202 2.1911 6.7275 16.3665 1.2824 1.6406 2.0938 2.6658 4.2919 6.8485 8.6231 10.8347 17.0001 32.9190 1.8114 1.9999 2.2080 30 17.4494 35 40 1.3478 1.4166 1.4889 2.4273 2.8139 3.2620 3.2434 3.9461 4.8010 4.3219 5.5160 5.7435 7.6861 10.2857 7.6123 10.6766 14.9745 10.0627 14.7853 21.7245 13.2677 20.4140 31.4094 28.1024 45.2593 29.9599 52.7996 93.0510 66.2118 133.1755 267.8635 7.0400 "Used to compute the future value of a known present amount. For example: What is the accumulatcd value of $3,000 invested today at 8% compounded quarterly for 5 years? Using the factors ofn=20 and i = 2% (20 quarterly periods and a quarterly interest rate of 2%), the factor is 1.4859. Thc accumulated value is $4,457.70 ($3.000 x 1.4859). 1 TABLE B.3: /i (1 + i)" p = |1- Present Value of an Annuity of 1 Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0.9524 1.8594 0.9901 0.9804 0.9709 0.9615 0.9434 0.9346 0.9259 0.9174 0.9091 0.8929 0.8696 1.6257 1 1.9704 2.9410 3.9020 4.8534 5.7955 1.9135 2.8286 2 1.9416 1.8861 1.8334 1.8080 1.7833 1.7591 1.7355 1.6901 2.8839 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4018 2.2832 3.3121 3.9927 3.1699 3.7908 3.8077 3.5460 3.4651 4.2124 2.8550 3.3522 3.7845 3.7171 3.6299 3.3872 3.2397 3.0373 5 4.7135 4.5797 4.4518 4.3295 4.1002 3.8897 3.6048 6 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 4.1604 6.4632 7.1078 5.3349 5.7590 8 7.6517 7.3255 7.0197 6.7327 6.2098 5.9713 5.7466 5.5348 4.9676 4.4873 8.5660 9.4713 5.3282 5.6502 5.9377 6.1944 6.4235 6.6282 8.1622 8.9826 9 7.7861 7.4353 6.8017 6.5152 7.0236 6.2469 5.9952 4.7716 10 8.5302 8.1109 7.7217 7.3601 6.7101 6.4177 6.1446 5.0188 10.3676 11.2551 11 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 5.2337 9.3851 9.9856 10.5631 12 10.5753 9.9540 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 5.4206 11.3484 12.1062 10.6350 11.2961 7.1034 7.3667 13 12.1337 13.0037 9.3936 8.8527 8.3577 7.9038 7.4869 5.5831 14 9.8986 9.2950 8.7455 8.2442 7.7862 5.7245 15 13.8651 14.7179 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 6.8109 5.8474 5.9542 6.0472 6.1280 16 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 6.9740 14.2919 14.9920 10.4773 10.8276 9.1216 9.3719 8.5436 8.7556 17 15.5623 13.1661 12.1657 11.2741 9.7632 8.0216 7.1196 18 16.3983 13.7535 12.6593 11.6896 10.0591 8.2014 7.2497 19 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.3658 6.1982 12.4622 14.0939 10.5940 11.6536 8.5136 9.0770 20 18.0456 16.3514 14.8775 13.5903 11.4699 9.8181 9.1285 7.4694 6.2593 25 22.0232 19.5235 17.4131 15.6221 12.7834 10.6748 9.8226 7.8431 6.4641 30 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 10.2737 9.4269 8.0552 6.5660 35 29.4086 24.9986 21.4872 18.6646 16.3742 14.4982 12.9477 11.6546 10.5668 9.6442 8.1755 6.6166 40 32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.2438 6.6418 *Used to calculate the present value of a series of equal payments made at the end of each period. For example: What is the present value of $2,000 per year for 10 years assuming an annual interest rate of 9%? For (n = 10, i= 9%), the PV factor is 6.4177. $2,000 per year for 10 years is the equivalent of $12,835 today ($2,000 x 6.4177). TABLE B.4$ f= [(1 +iy – 1]/i Future Value of an Annuity of 1 Rate Perlods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1.0000 2.0500 1.0000 2.0800 1.0000 1.0000 2.0100 1.0000 2.0200 1.0000 2.0400 1.0000 2.1200 1.0000 1.0000 2.0700 1.0000 2.0900 1 1.0000 1.0000 2.0300 2.0600 2.1000 2.1500 3 3.0301 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 3.4725 4 4.0604 4.9934 4.1216 5.2040 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.1010 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.7424 6.1520 7.2135 8.2857 9.3685 6.8019 7.5233 6.3081 6.4684 7.4343 7.6625 8.8923 8.5830 9.7546 10.1591 6.6330 7.8983 9.2142 10.5828 7.1533 8.6540 10.2598 7.3359 8.9228 10.6366 12.4876 14.4866 7.7156 9.4872 11.4359 13.5795 15.9374 8.1152 10.0890 12.2997 14.7757 8.7537 11.0668 13.7268 16.7858 6.9753 9.2004 11.0285 7 8 9. 8.1420 9.5491 11.0266 8.3938 9.8975 11.4913 11.9780 13.0210 12.5779 14.2068 10.4622 10.9497 11.4639 12.1687 13.4121 17.5487 20.6546 24.1331 28.0291 10 12.0061 13.1808 13.8164 15.1929 20.3037 11 11.5668 12.8078 13.4864 14.9716 15.7836 16.6455 18.9771 17.5603 18.5312 24.3493 14.1920 15.6178 15.0258 16.6268 12 12.6825 15.9171 16.8699 17.8885 20.1407 21.3843 29.0017 18.8821 20.1406 22.9534 24.5227 27.9750 13 13.8093 14.6803 17.7130 21.4953 34.3519 14 14.9474 15.9739 17.0863 18.2919 19.5986 21.0151 22.5505 24.2149 26.0192 32.3926 40.5047 15 16.0969 17.2934 18.5989 20.0236 21.5786 23.2760 25.1290 27.1521 29.3609 31.7725 37.2797 47.5804 18.6393 20.1569 30.3243 33.7502 37.4502 41.4463 16 17.2579 21.8245 23.6575 25.6725 27.8881 33.0034 35.9497 42.7533 55.7175 17 20.0121 18.4304 19.6147 20.8109 22.8406 25.1169 22.0190 21.7616 23.4144 23.6975 25.6454 27.6712 25.8404 28.2129 30.9057 33.7600 36.7856 54.8645 79.0582 30.8402 33.9990 37.3790 40.9955 36.9737 40.5447 45.5992 51.1591 48.8837 18 19 20 65.0751 75.8364 88.2118 102.4436 21.4123 28.1324 30.5390 33.0660 55.7497 63.4397 72.0524 41.3013 46.0185 24.2974 26.8704 29.7781 45.7620 51.1601 57.2750 25 28.2432 32.0303 36.4593 41.6459 47.7271 63.2490 73.1059 84.7009 98.3471 133.3339 212.7930 34.7849 41.6603 113.2832 172.3168 47.5754 56.0849 73.6522 30 40.5681 66.4388 94.4608 136.3075 164.4940 241.3327 434.7451 35 49.9945 60.4621 90.3203 111.4348 138.2369 215.7108 271.0244 431.6635 881.1702 40 48.8864 60.4020 75.4013 95.0255 120.7998 154.7620 199.6351 259.0565 337.8824 442.5926 767.0914 1,779.0903 Used to calculate the future value of a series of equal pay ments made at the end of each period. For example: What is the future valuc of $4,000 per year for 6 years assuming an annual interest rate of 8%? For (n= 6, i = 8%), the FV factor is 7.3359. $4,000 per year for 6 years accumulates to $29,343.60 ($4,000 x 7.3359). |密出
Transcribed Image Text:TABLE B.1 p = 1/(1 + iy" %3D Present Value of 1 Rate Perlods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0.9174 0.8417 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9091 0.8929 0.8696 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8264 0.7972 0.7561 0.9423 0.9238 0.9057 0.9151 0.8885 0.8626 0.7513 0.6830 0.6209 0.9706 0.8638 0.7938 0.7722 0.7084 0.6499 3 0.8890 0.8396 0.8163 0.7118 0.6575 4 0.9610 0.8548 0.8219 0.8227 0.7921 0.7473 0.7050 0.7629 0.7130 0.7350 0.9515 0.9420 0.6355 0.5674 0.5066 0.5718 0.4972 0.7835 0.6806 0.8880 0.8375 0.7903 0.7462 0.6663 0.6302 0.5963 0.5645 0.4323 0.5470 0.5019 0.4604 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5403 0.5002 0.5132 0.4523 0.3759 8. 0.9235 0.8535 0.8368 0.7894 0.7307 0.6768 0.6446 0.6274 0.5820 0.4665 0.4039 0.3269 0.9143 0.7664 0.7026 0.5919 0.5439 0.4241 0.3606 0.2843 0.9053 0.8963 0.8874 0.8787 0.6756 0.6496 0.6139 0.5847 10 0.8203 0.7441 0.3855 0.3220 0.5584 0.5268 0.5083 0.4632 0.4224 0.2472 0.8043 0.7885 0.7224 0.4751 0.3875 0.3505 0.2875 0.2567 0.2292 11 0.4289 0.2149 0.7014 0.4970 0.4688 12 0.6246 0.3186 0.1869 0.5568 0.5303 0.4440 0.4150 0.3971 0.3677 0.3555 0.3262 13 0.7730 0.6810 0.6006 0.2897 0.1625 0.8700 0.8613 0.8528 0.7579 0.7430 0.7284 0.6611 0.6419 0.4423 0.4173 0.3405 0.3152 0.2992 0.2745 0.2633 0.2394 0.1413 0.1229 14 0.5775 0.5051 0.4810 0.3878 0.3624 0.2046 0.1827 15 0.5553 0.4581 0.4363 16 0.6232 0.5339 0.3936 0.3387 0.2919 0.2519 0.2176 0.1631 0.1069 0.6050 0.5874 0.5703 17 0.8444 0.7142 0.5134 0.3714 0.3166 0.2703 0.2311 0.1978 0.1456 0.0929 0.8360 0.8277 0.7002 0.6864 0.4936 0.4746 18 0.4155 0.3503 0.3305 0.2959 0.2502 0.2317 0.2120 0.1799 0.1300 0.1161 0.0808 0.3957 19 20 0.2765 0.1945 0.1635 0.0703 0.5537 0.4776 0.4120 0.1784 0.1160 0.0754 0.0490 0.0318 0.8195 0.6730 0.4564 0.3769 0.3118 0.2584 0.2145 0.1486 0.1037 0.0611 0.7798 0.2953 0.2314 25 0.6095 0.3751 0.2330 0.1842 0.1460 0.0923 0.0588 0.0304 0.0994 0.0676 30 0.7419 0.5521 0.3083 0.0151 0.1741 0.1301 0.0972 0.1314 0.0573 0.5000 0.4529 0.0334 0.0189 0.0107 0.0937 35 40 0.0075 0.0037 0.7059 0.3554 0.2534 0.1813 0.0356 0.0221 0.6717 0.3066 0.2083 0.1420 0.0668 0.0460 *Used to compute the present valuc of a known future amount. For example: How much would you nced to invest today at 10% compounded semiannually to accumulate $5,000 in 6 years from today? Using the factors of n= 12 and i = 5% (12 semiannual periods and a semiannual rate of 5%), the factor is 0.5568. You would need to invest $2,784 today ($5,000x0.5568). TABLE B.2* f = (1+ iy" Future Value of 1 Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1.0000 1.0000 1.0400 1.0000 1.0000 1.0000 1.0300 1.0609 1.0000 1.0500 1.1025 1.0000 1.0600 1.1236 1.0000 1.0000 1.0000 1.0000 1.0000 1.0700 1.1449 1.0800 1.1664 1.2597 1.3605 1.0900 1.1881 1.1200 1.2544 1.4049 1.1500 1.3225 1.5209 1.0100 1.0200 1.1000 1.2100 1.3310 1.4641 1.0201 1.0404 1.0816 3 1.0303 1.0612 1.0927 1.1249 1.1576 1.1910 1.2250 1.2950 1.0406 1.0510 1.0615 1.0721 1.0829 1.0824 1.1041 1.1262 1.1699 1.2167 1.2653 1.4116 1.5386 1.6771 1.5735 1.7623 1.9738 1.7490 1.1255 1.1593 1.1941 1.2155 1.2763 1.3401 1.2625 1.3382 1.4185 1.3108 1.4026 1.5007 1.4693 1.6105 1.7716 2.0114 2.3131 6 1.5869 1.3159 1.3686 1.4233 1.4802 1.4071 1.4775 1.5513 2.2107 2.4760 2.7731 3.1058 3.4785 7 1.1487 1.2299 1.9487 1.5036 1.5938 1.6895 1.6058 1.7138 1.8509 1.9990 2.1589 1.8280 1.9926 2.1719 2.3674 2.6600 8 1.1717 1.0937 1.1046 1.2668 1.3048 1.3439 1.7182 1.8385 2.1436 2.3579 2.5937 3.0590 3.5179 4.0456 9 1.1951 1.2190 1.6289 1.7103 1.9672 2.1049 10 1.7908 11 1.1157 1.2434 1.2682 1.3842 1.4258 1.5395 1.8983 2.3316 2.5804 2.8531 4.6524 2.8127 5.3503 6.1528 12 1.1268 1.6010 1.7959 2.0122 2.2522 2.5182 3.1384 3.8960 13 1.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.4523 4.3635 1.5126 1.5580 1.6047 1.9799 2.0789 2.1829 2.5785 2.7590 2.9522 3.1588 14 1.1495 1.1610 1.3195 1.3459 1.3728 1.7317 1.8009 2.2609 2.9372 3.1722 3.3417 3.7975 4.1772 4.5950 5.0545 4.8871 15 16 2.3966 2.5404 3.6425 3.9703 4.3276 5.4736 6.1304 6.8660 7.0757 8.1371 9.3576 1.1726 1.8730 3.4259 17 1.1843 1.4002 1.6528 1.9479 2.2920 2.6928 3.7000 10.7613 12.3755 14.2318 1.1961 1.4282 18 19 20 25 1.7024 1.7535 1.8061 3.3799 3.6165 3.8697 5.4274 4.7171 5.1417 5.6044 2.0258 2.1068 2.4066 2.5270 2.6533 3.3864 2.8543 3.0256 3.2071 3.9960 4.3157 4.6610 5.5599 6.1159 7.6900 8.6128 9.6463 1.2081 1.4568 1.4859 1.2202 2.1911 6.7275 16.3665 1.2824 1.6406 2.0938 2.6658 4.2919 6.8485 8.6231 10.8347 17.0001 32.9190 1.8114 1.9999 2.2080 30 17.4494 35 40 1.3478 1.4166 1.4889 2.4273 2.8139 3.2620 3.2434 3.9461 4.8010 4.3219 5.5160 5.7435 7.6861 10.2857 7.6123 10.6766 14.9745 10.0627 14.7853 21.7245 13.2677 20.4140 31.4094 28.1024 45.2593 29.9599 52.7996 93.0510 66.2118 133.1755 267.8635 7.0400 "Used to compute the future value of a known present amount. For example: What is the accumulatcd value of $3,000 invested today at 8% compounded quarterly for 5 years? Using the factors ofn=20 and i = 2% (20 quarterly periods and a quarterly interest rate of 2%), the factor is 1.4859. Thc accumulated value is $4,457.70 ($3.000 x 1.4859). 1 TABLE B.3: /i (1 + i)" p = |1- Present Value of an Annuity of 1 Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0.9524 1.8594 0.9901 0.9804 0.9709 0.9615 0.9434 0.9346 0.9259 0.9174 0.9091 0.8929 0.8696 1.6257 1 1.9704 2.9410 3.9020 4.8534 5.7955 1.9135 2.8286 2 1.9416 1.8861 1.8334 1.8080 1.7833 1.7591 1.7355 1.6901 2.8839 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4018 2.2832 3.3121 3.9927 3.1699 3.7908 3.8077 3.5460 3.4651 4.2124 2.8550 3.3522 3.7845 3.7171 3.6299 3.3872 3.2397 3.0373 5 4.7135 4.5797 4.4518 4.3295 4.1002 3.8897 3.6048 6 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 4.1604 6.4632 7.1078 5.3349 5.7590 8 7.6517 7.3255 7.0197 6.7327 6.2098 5.9713 5.7466 5.5348 4.9676 4.4873 8.5660 9.4713 5.3282 5.6502 5.9377 6.1944 6.4235 6.6282 8.1622 8.9826 9 7.7861 7.4353 6.8017 6.5152 7.0236 6.2469 5.9952 4.7716 10 8.5302 8.1109 7.7217 7.3601 6.7101 6.4177 6.1446 5.0188 10.3676 11.2551 11 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 5.2337 9.3851 9.9856 10.5631 12 10.5753 9.9540 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 5.4206 11.3484 12.1062 10.6350 11.2961 7.1034 7.3667 13 12.1337 13.0037 9.3936 8.8527 8.3577 7.9038 7.4869 5.5831 14 9.8986 9.2950 8.7455 8.2442 7.7862 5.7245 15 13.8651 14.7179 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 6.8109 5.8474 5.9542 6.0472 6.1280 16 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 6.9740 14.2919 14.9920 10.4773 10.8276 9.1216 9.3719 8.5436 8.7556 17 15.5623 13.1661 12.1657 11.2741 9.7632 8.0216 7.1196 18 16.3983 13.7535 12.6593 11.6896 10.0591 8.2014 7.2497 19 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.3658 6.1982 12.4622 14.0939 10.5940 11.6536 8.5136 9.0770 20 18.0456 16.3514 14.8775 13.5903 11.4699 9.8181 9.1285 7.4694 6.2593 25 22.0232 19.5235 17.4131 15.6221 12.7834 10.6748 9.8226 7.8431 6.4641 30 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 10.2737 9.4269 8.0552 6.5660 35 29.4086 24.9986 21.4872 18.6646 16.3742 14.4982 12.9477 11.6546 10.5668 9.6442 8.1755 6.6166 40 32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.2438 6.6418 *Used to calculate the present value of a series of equal payments made at the end of each period. For example: What is the present value of $2,000 per year for 10 years assuming an annual interest rate of 9%? For (n = 10, i= 9%), the PV factor is 6.4177. $2,000 per year for 10 years is the equivalent of $12,835 today ($2,000 x 6.4177). TABLE B.4$ f= [(1 +iy – 1]/i Future Value of an Annuity of 1 Rate Perlods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1.0000 2.0500 1.0000 2.0800 1.0000 1.0000 2.0100 1.0000 2.0200 1.0000 2.0400 1.0000 2.1200 1.0000 1.0000 2.0700 1.0000 2.0900 1 1.0000 1.0000 2.0300 2.0600 2.1000 2.1500 3 3.0301 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 3.4725 4 4.0604 4.9934 4.1216 5.2040 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 5.1010 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.7424 6.1520 7.2135 8.2857 9.3685 6.8019 7.5233 6.3081 6.4684 7.4343 7.6625 8.8923 8.5830 9.7546 10.1591 6.6330 7.8983 9.2142 10.5828 7.1533 8.6540 10.2598 7.3359 8.9228 10.6366 12.4876 14.4866 7.7156 9.4872 11.4359 13.5795 15.9374 8.1152 10.0890 12.2997 14.7757 8.7537 11.0668 13.7268 16.7858 6.9753 9.2004 11.0285 7 8 9. 8.1420 9.5491 11.0266 8.3938 9.8975 11.4913 11.9780 13.0210 12.5779 14.2068 10.4622 10.9497 11.4639 12.1687 13.4121 17.5487 20.6546 24.1331 28.0291 10 12.0061 13.1808 13.8164 15.1929 20.3037 11 11.5668 12.8078 13.4864 14.9716 15.7836 16.6455 18.9771 17.5603 18.5312 24.3493 14.1920 15.6178 15.0258 16.6268 12 12.6825 15.9171 16.8699 17.8885 20.1407 21.3843 29.0017 18.8821 20.1406 22.9534 24.5227 27.9750 13 13.8093 14.6803 17.7130 21.4953 34.3519 14 14.9474 15.9739 17.0863 18.2919 19.5986 21.0151 22.5505 24.2149 26.0192 32.3926 40.5047 15 16.0969 17.2934 18.5989 20.0236 21.5786 23.2760 25.1290 27.1521 29.3609 31.7725 37.2797 47.5804 18.6393 20.1569 30.3243 33.7502 37.4502 41.4463 16 17.2579 21.8245 23.6575 25.6725 27.8881 33.0034 35.9497 42.7533 55.7175 17 20.0121 18.4304 19.6147 20.8109 22.8406 25.1169 22.0190 21.7616 23.4144 23.6975 25.6454 27.6712 25.8404 28.2129 30.9057 33.7600 36.7856 54.8645 79.0582 30.8402 33.9990 37.3790 40.9955 36.9737 40.5447 45.5992 51.1591 48.8837 18 19 20 65.0751 75.8364 88.2118 102.4436 21.4123 28.1324 30.5390 33.0660 55.7497 63.4397 72.0524 41.3013 46.0185 24.2974 26.8704 29.7781 45.7620 51.1601 57.2750 25 28.2432 32.0303 36.4593 41.6459 47.7271 63.2490 73.1059 84.7009 98.3471 133.3339 212.7930 34.7849 41.6603 113.2832 172.3168 47.5754 56.0849 73.6522 30 40.5681 66.4388 94.4608 136.3075 164.4940 241.3327 434.7451 35 49.9945 60.4621 90.3203 111.4348 138.2369 215.7108 271.0244 431.6635 881.1702 40 48.8864 60.4020 75.4013 95.0255 120.7998 154.7620 199.6351 259.0565 337.8824 442.5926 767.0914 1,779.0903 Used to calculate the future value of a series of equal pay ments made at the end of each period. For example: What is the future valuc of $4,000 per year for 6 years assuming an annual interest rate of 8%? For (n= 6, i = 8%), the FV factor is 7.3359. $4,000 per year for 6 years accumulates to $29,343.60 ($4,000 x 7.3359). |密出
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