APPENDIX TABLE 1
Present Value Tables
Number
Interest Rate per Year
of Years 1%
2%
3%
4%
5%
6%
7%
8%
9% 10% 11% 12% 13% 14% 15%
1
.990 .980 .971 .962 .952 .943 .935 .926 .917 .909 .901 .893 .885 .877 .870
2
.980 .961 .943 .925 .907 .890 .873 .857 .842 .826 .812 .797 .783 .769 .756
3
.971 .942 .915 .889 .864 .840 .816 .794 .772 .751 .731 .712 .693 .675 .658
4
.961 .924 .888 .855 .823 .792 .763 .735 .708 .683 .659 .636 .613 .592 .572
5
.951 .906 .863 .822 .784 .747 .713 .681 .650 .621 .593 .567 .543 .519 .497
6
.942 .888 .837 .790 .746 .705 .666 .630 .596 .564 .535 .507 .480 .456 .432
7
.933 .871 .813 .760 .711 .665 .623 .583 .547 .513 .482 .452 .425 .400 .376
8
.923 .853 .789 .731 .677 .627 .582 .540 .502 .467 .434 .404 .376 .351 .327
9
.914 .837 .766 .703 .645 .592 .544 .500 .460 .424 .391 .361 .333 .308 .284
10 .905 .820 .744 .676 .614 .558 .508 .463 .422 .386 .352 .322 .295 .270 .247
11
.896 .804 .722 .650 .585 .527 .475 .429 .388 .350 .317 .287 .261 .237 .215
12
.887 .788 .701 .625 .557 .497 .444 .397 .356 .319 .286 .257 .231 .208 .187
13
.879 .773 .681 .601 .530 .469 .415 .368 .326 .290 .258 .229 .204 .182 .163
14
.870 .758 .661 .577 .505 .442 .388 .340 .299 .263 .232 .205 .181 .160 .141
15 .861 .743 .642 .555 .481 .417 .362 .315 .275 .239 .209 .183 .160 .140 .123
16 .853 .728 .623 .534 .458 .394 .339 .292 .252 .218 .188 .163 .141 .123 .107
17 .844 .714 .605 .51 3 .436 .371 .317 .270 .231 .198 .170 .146 .125 .108 .093
18
.836 .700 .587 .494 .416 .350 .296 .250 .212 .180 .153 .130 .111 .095 .081
19
.828 .686 .570 .475 .396 .331 .277 .232 .194 .164 .138 .116 .098 .083 .070
20 .820 .673 .554 .456 .377 .312 .258 .215 .178 .149 .124 .104 .087 .073 .061
Discount factors: Present value of $1 to be received after t years= 1/(1 + r)1.
Note: For example, if the interest rate is 10% per year, the present value of $1 received at year 5 is $. 621 .
6