MÜHENDİSLİK EKONOMİSİ

MÜHEDİSLİK EKOOMİSİ Dkkat! Tablo sayfaları üzere lavete herhag br şey (formül, ot, vs.) yazılması halde KOPYA şlem uygulaacaktır. FORMÜLLER VE BİLEŞİK FAİZ TABLOLARI M KUTAİS İ H DEMİR SAKARYA ÜİVERSİTESİ 204

2 /28 BİLEŞİK FAİZ FAKTÖRLERİ TABLOSU AŞAĞIDA VERİLE FAİZ ORALARI İÇİ DÜZELEMİŞTİR % % % % 0.25 3.0.0 22.0 0.5 4.0 2.0 25.0.0 5.0 3.0 30.0.5 6.0 4.0 40.0 2.0 7.0 5.0 50.0 8.0 6.0 9.0 8.0 0.0 20.0 BİLEŞİK FAİZ FORMÜLLERİ F = P ( + ) SGD= [ (P-S)(A/P, %, ) + S ] P=A (P/A,, ) F A P A g g g A P g A P m m e m r G P k İlk İlk BV k ömür ekoomk y atırım- Hurdadeğer y atırım A P 0 0 0 k k k k k, F, P / E,k F, P / R k k k k k e P F R P F k e F P E 0 0 %,, / *%,, / %,, / C.R M) 0 ( - B F/M A S P GÖP 0

0.25% 0.25%.0025 0.9975.0000 0.9975.0000.0025 0.0000 0.0000 2.0050 0.9950 2.0025.9925 0.4994 0.509 0.9950 0.4994 3.0075 0.9925 3.0075 2.985 0.3325 0.3350 2.980 0.9983 4.000 0.990 4.050 3.975 0.249 0.256 5.9503.4969 5.026 0.9876 5.025 4.9627 0.990 0.205 9.9007.9950 6.05 0.985 6.0376 5.9478 0.656 0.68 4.8263 2.4927 7.076 0.9827 7.0527 6.9305 0.48 0.443 20.7223 2.9900 8.0202 0.9802 8.0704 7.907 0.239 0.264 27.5839 3.4869 9.0227 0.9778 9.0905 8.8885 0.00 0.25 35.406 3.9834 0.0253 0.9753 0.33 9.8639 0.0989 0.04 44.842 4.4794.0278 0.9729.385 0.8368 0.0898 0.0923 53.933 4.9750 2.0304 0.9705 2.664.8073 0.0822 0.0847 64.5886 5.4702 3.0330 0.968 3.968 2.7753 0.0758 0.0783 76.2053 5.9650 4.0356 0.9656 4.2298 3.740 0.0703 0.0728 88.7587 6.4594 5.0382 0.9632 5.2654 4.7042 0.0655 0.0680 02.244 6.9534 6.0408 0.9608 6.3035 5.6650 0.063 0.0638 6.6567 7.4469 7.0434 0.9584 7.3443 6.6235 0.0577 0.0602 3.997 7.940 8.0460 0.956 8.3876 7.5795 0.0544 0.0569 48.2446 8.4328 9.0486 0.9537 9.4336 8.5332 0.055 0.0540 65.406 8.925 20.052 0.953 20.4822 9.4845 0.0488 0.053 83.485 9.470 2.0538 0.9489 2.5334 20.4334 0.0464 0.0489 202.4634 9.9085 22.0565 0.9466 22.5872 2.3800 0.0443 0.0468 222.340 0.3995 23.059 0.9442 23.6437 22.324 0.0423 0.0448 243.3 0.890 24.068 0.948 24.7028 23.2660 0.0405 0.0430 264.7753.3804 25.0644 0.9395 25.7646 24.2055 0.0388 0.043 287.3230.8702 26.067 0.937 26.8290 25.426 0.0373 0.0398 30.756 2.3596 27.0697 0.9348 27.896 26.0774 0.0358 0.0383 335.0566 2.8485 28.0724 0.9325 28.9658 27.0099 0.0345 0.0370 360.2334 3.337 29.075 0.930 30.0382 27.9400 0.0333 0.0358 386.2776 3.8252 30.0778 0.9278 3.33 28.8679 0.032 0.0346 43.847 4.330 36.094 0.940 37.6206 34.3865 0.0266 0.029 592.4988 7.2306 40.050 0.9050 42.032 38.099 0.0238 0.0263 728.7399 9.673 48.273 0.887 50.932 45.787 0.096 0.022 040.0552 23.0209 50.330 0.8826 53.887 46.9462 0.088 0.023 25.7767 23.9802 52.386 0.8782 55.4575 48.7048 0.080 0.0205 24.5885 24.9377 55.472 0.877 58.889 5.3264 0.070 0.095 353.5286 26.370 60.66 0.8609 64.6467 55.6524 0.055 0.080 600.0845 28.754 72.969 0.8355 78.7794 65.869 0.027 0.052 2265.5569 34.422 75.2059 0.8292 82.3792 68.308 0.02 0.046 2447.6069 35.8305 84.2334 0.808 93.349 75.683 0.007 0.032 3029.7592 40.033 90.2520 0.7987 00.7885 80.5038 0.0099 0.024 3446.8700 42.862 96.2709 0.7869 08.3474 85.2546 0.0092 0.07 3886.2832 45.5844 00.2836 0.7790 3.4500 88.3825 0.0088 0.03 49.247 47.426 08.3095 0.7636 23.8093 94.5453 0.008 0.006 4829.025 5.0762 20.3494 0.74 39.744 03.568 0.0072 0.0097 5852.6 56.5084 32.3904 0.792 56.582 2.32 0.0064 0.0089 6950.044 6.883 44.4327 0.6980 73.0743 20.804 0.0058 0.0083 87.433 67.949 240.8208 0.5492 328.3020 80.309 0.0030 0.0055 9398.9852 07.5863 360 2.4568 0.4070 582.7369 237.894 0.007 0.0042 36263.9299 52.8902 480 3.35 0.306 926.0595 279.348 0.00 0.0036 53820.7525 92.6699 3 /28

0.50% 0.50%.0050 0.9950.0000 0.9950.0000.0050 0.0000 0.0000 2.000 0.990 2.0050.985 0.4988 0.5038 0.990 0.4988 3.05 0.985 3.050 2.9702 0.337 0.3367 2.9604 0.9967 4.0202 0.9802 4.030 3.9505 0.248 0.253 5.90.4938 5.0253 0.9754 5.0503 4.9259 0.980 0.2030 9.8026.9900 6.0304 0.9705 6.0755 5.8964 0.646 0.696 4.6552 2.4855 7.0355 0.9657 7.059 6.862 0.407 0.457 20.4493 2.980 8.0407 0.9609 8.44 7.8230 0.228 0.278 27.755 3.4738 9.0459 0.956 9.82 8.779 0.089 0.39 34.8244 3.9668 0.05 0.953 0.2280 9.7304 0.0978 0.028 43.3865 4.4589.0564 0.9466.2792 0.6770 0.0887 0.0937 52.8526 4.950 2.067 0.949 2.3356.689 0.08 0.086 63.236 5.4406 3.0670 0.9372 3.3972 2.5562 0.0746 0.0796 74.4602 5.9302 4.0723 0.9326 4.4642 3.4887 0.069 0.074 86.5835 6.490 5.0777 0.9279 5.5365 4.466 0.0644 0.0694 99.5743 6.9069 6.083 0.9233 6.642 5.3399 0.0602 0.0652 3.4238 7.3940 7.0885 0.987 7.6973 6.2586 0.0565 0.065 28.23 7.8803 8.0939 0.94 8.7858 7.728 0.0532 0.0582 43.6634 8.3658 9.0994 0.9096 9.8797 8.0824 0.0503 0.0553 60.0360 8.8504 20.049 0.905 20.979 8.9874 0.0477 0.0527 77.2322 9.3342 2.04 0.9006 22.0840 9.8880 0.0453 0.0503 95.2434 9.872 22.60 0.896 23.944 20.784 0.043 0.048 24.06 0.2993 23.26 0.896 24.304 2.6757 0.04 0.046 233.6768 0.7806 24.272 0.8872 25.4320 22.5629 0.0393 0.0443 254.0820.26 25.328 0.8828 26.559 23.4456 0.0377 0.0427 275.2686.7407 26.385 0.8784 27.699 24.3240 0.036 0.04 297.228 2.295 27.442 0.8740 28.8304 25.980 0.0347 0.0397 39.9523 2.6975 28.499 0.8697 29.9745 26.0677 0.0334 0.0384 343.4332 3.747 29.556 0.8653 3.244 26.9330 0.032 0.037 367.6625 3.650 30.64 0.860 32.2800 27.794 0.030 0.0360 392.6324 4.265 36.967 0.8356 39.336 32.870 0.0254 0.0304 557.5598 6.962 40.2208 0.89 44.588 36.722 0.0226 0.0276 68.3347 8.8359 48.2705 0.787 54.0978 42.5803 0.085 0.0235 959.988 22.5437 50.2832 0.7793 56.6452 44.428 0.077 0.0227 035.6966 23.4624 52.296 0.776 59.280 45.6897 0.069 0.029 3.862 24.3778 55.356 0.760 63.258 47.984 0.058 0.0208 235.2686 25.7447 60.3489 0.744 69.7700 5.7256 0.043 0.093 448.6458 28.0064 72.4320 0.6983 86.4089 60.3395 0.06 0.066 202.3478 33.3504 75.4536 0.6879 90.7265 62.436 0.00 0.060 263.7525 34.6679 84.5204 0.6577 04.0739 68.4530 0.0096 0.046 2640.664 38.5763 90.5666 0.6383 3.309 72.333 0.0088 0.038 2976.0769 4.45 96.64 0.695 22.8285 76.0952 0.008 0.03 3324.846 43.6845 00.6467 0.6073 29.3337 78.5426 0.0077 0.027 3562.7934 45.363 08.737 0.5835 42.7399 83.2934 0.0070 0.020 4054.3747 48.6758 20.894 0.5496 63.8793 90.0735 0.006 0.0 4823.505 53.5508 32.936 0.577 86.3226 96.4596 0.0054 0.004 5624.5868 58.303 44 2.0508 0.4876 20.502 02.4747 0.0048 0.0098 645.36 62.955 240 3.302 0.302 462.0409 39.5808 0.0022 0.0072 345.5395 96.3 360 6.0226 0.660 004.550 66.796 0.000 0.0060 2403.304 28.3236 480 0.9575 0.093 99.4907 8.7476 0.0005 0.0055 27588.3573 5.7949 4 /28

.00%.00%.000 0.990.0000 0.990.0000.000 0.0000 0.0000 2.020 0.9803 2.000.9704 0.4975 0.5075 0.9803 0.4975 3.0303 0.9706 3.030 2.940 0.3300 0.3400 2.925 0.9934 4.0406 0.960 4.0604 3.9020 0.2463 0.2563 5.8044.4876 5.050 0.955 5.00 4.8534 0.960 0.2060 9.603.980 6.065 0.9420 6.520 5.7955 0.625 0.725 4.3205 2.470 7.072 0.9327 7.235 6.7282 0.386 0.486 9.968 2.9602 8.0829 0.9235 8.2857 7.657 0.207 0.307 26.382 3.4478 9.0937 0.943 9.3685 8.5660 0.067 0.67 33.6959 3.9337 0.046 0.9053 0.4622 9.473 0.0956 0.056 4.8435 4.479.57 0.8963.5668 0.3676 0.0865 0.0965 50.8067 4.9005 2.268 0.8874 2.6825.255 0.0788 0.0888 60.5687 5.385 3.38 0.8787 3.8093 2.337 0.0724 0.0824 7.26 5.8607 4.495 0.8700 4.9474 3.0037 0.0669 0.0769 82.422 6.3384 5.60 0.863 6.0969 3.865 0.062 0.072 94.480 6.843 6.726 0.8528 7.2579 4.779 0.0579 0.0679 07.2734 7.2886 7.843 0.8444 8.4304 5.5623 0.0543 0.0643 20.7834 7.763 8.96 0.8360 9.647 6.3983 0.050 0.060 34.9957 8.2323 9.208 0.8277 20.809 7.2260 0.048 0.058 49.8950 8.707 20.2202 0.895 22.090 8.0456 0.0454 0.0554 65.4664 9.694 2.2324 0.84 23.2392 8.8570 0.0430 0.0530 8.6950 9.6354 22.2447 0.8034 24.476 9.6604 0.0409 0.0509 98.5663 0.0998 23.2572 0.7954 25.763 20.4558 0.0389 0.0489 26.0660 0.5626 24.2697 0.7876 26.9735 2.2434 0.037 0.047 234.800.0237 25.2824 0.7798 28.2432 22.0232 0.0354 0.0454 252.8945.483 26.2953 0.7720 29.5256 22.7952 0.0339 0.0439 272.957.9409 27.3082 0.7644 30.8209 23.5596 0.0324 0.0424 292.0702 2.397 28.323 0.7568 32.29 24.364 0.03 0.04 32.5047 2.856 29.3345 0.7493 33.4504 25.0658 0.0299 0.0399 333.4863 3.3044 30.3478 0.749 34.7849 25.8077 0.0287 0.0387 355.002 3.7557 36.4308 0.6989 43.0769 30.075 0.0232 0.0332 494.6207 6.4285 40.4889 0.677 48.8864 32.8347 0.0205 0.0305 596.856 8.776 48.622 0.6203 6.2226 37.9740 0.063 0.0263 820.460 2.5976 50.6446 0.6080 64.4632 39.96 0.055 0.0255 879.476 22.4363 52.6777 0.596 67.7689 40.3942 0.048 0.0248 939.975 23.2686 55.7285 0.5785 72.8525 42.472 0.037 0.0237 032.848 24.5049 60.867 0.5504 8.6697 44.9550 0.022 0.0222 92.806 26.5333 72 2.047 0.4885 04.7099 5.504 0.0096 0.096 597.8673 3.2386 75 2.09 0.474 0.928 52.587 0.0090 0.090 702.7340 32.3793 84 2.3067 0.4335 30.6723 56.6485 0.0077 0.077 2023.353 35.770 90 2.4486 0.4084 44.8633 59.609 0.0069 0.069 2240.5675 37.8724 96 2.5993 0.3847 59.9273 6.5277 0.0063 0.063 2459.4298 39.9727 00 2.7048 0.3697 70.484 63.0289 0.0059 0.059 2605.7758 4.3426 08 2.9289 0.344 92.8926 65.8578 0.0052 0.052 2898.4203 44.003 20 3.3004 0.3030 230.0387 69.7005 0.0043 0.043 3334.48 47.8349 32 3.790 0.2689 27.8959 73.08 0.0037 0.037 376.6944 5.4520 44 4.906 0.2386 39.066 76.372 0.003 0.03 477.4664 54.8676 240 0.8926 0.098 989.2554 90.894 0.000 0.00 6878.606 75.7393 360 35.9496 0.0278 3494.964 97.283 0.0003 0.003 8720.4323 89.6995 480 8.6477 0.0084 764.7725 99.572 0.000 0.00 95.579 95.9200 5 /28

.50%.50%.050 0.9852.0000 0.9852.0000.050 0.0000 0.0000 2.0302 0.9707 2.050.9559 0.4963 0.53 0.9707 0.4963 3.0457 0.9563 3.0452 2.922 0.3284 0.3434 2.8833 0.990 4.064 0.9422 4.0909 3.8544 0.2444 0.2594 5.7098.484 5.0773 0.9283 5.523 4.7826 0.94 0.209 9.4229.9702 6.0934 0.945 6.2296 5.6972 0.605 0.755 3.9956 2.4566 7.098 0.900 7.3230 6.5982 0.366 0.56 9.408 2.9405 8.265 0.8877 8.4328 7.4859 0.86 0.336 25.657 3.429 9.434 0.8746 9.5593 8.3605 0.046 0.96 32.625 3.9008 0.605 0.867 0.7027 9.2222 0.0934 0.084 40.3675 4.3772.779 0.8489.8633 0.07 0.0843 0.0993 48.8568 4.852 2.956 0.8364 3.042 0.9075 0.0767 0.097 58.057 5.3227 3.236 0.8240 4.2368.735 0.0702 0.0852 67.9454 5.797 4.238 0.88 5.4504 2.5434 0.0647 0.0797 78.4994 6.2582 5.2502 0.7999 6.682 3.3432 0.0599 0.0749 89.6974 6.7223 6.2690 0.7880 7.9324 4.33 0.0558 0.0708 0.578 7.839 7.2880 0.7764 9.204 4.9076 0.052 0.067 3.9400 7.643 8.3073 0.7649 20.4894 5.6726 0.0488 0.0638 26.9435 8.0997 9.3270 0.7536 2.7967 6.4262 0.0459 0.0609 40.5084 8.5539 20.3469 0.7425 23.237 7.686 0.0432 0.0582 54.654 9.0057 2.367 0.735 24.4705 7.900 0.0409 0.0559 69.2453 9.4550 22.3876 0.7207 25.8376 8.6208 0.0387 0.0537 84.3798 9.908 23.4084 0.700 27.225 9.3309 0.0367 0.057 200.0006 0.3462 24.4295 0.6995 28.6335 20.0304 0.0349 0.0499 26.090 0.788 25.4509 0.6892 30.0630 20.796 0.0333 0.0483 232.630.2276 26.4727 0.6790 3.540 2.3986 0.037 0.0467 249.6065.6646 27.4948 0.6690 32.9867 22.0676 0.0303 0.0453 267.0002 2.0992 28.572 0.659 34.485 22.7267 0.0290 0.0440 284.7958 2.533 29.5400 0.6494 35.9987 23.376 0.0278 0.0428 302.9779 2.960 30.563 0.6398 37.5387 24.058 0.0266 0.046 32.530 3.3883 36.709 0.585 47.2760 27.6607 0.022 0.0362 439.8303 5.9009 40.840 0.553 54.2679 29.958 0.084 0.0334 524.3568 7.5277 48 2.0435 0.4894 69.5652 34.0426 0.044 0.0294 703.5462 20.6667 50 2.052 0.4750 73.6828 34.9997 0.036 0.0286 749.9636 2.4277 52 2.689 0.46 77.9249 35.9287 0.028 0.0278 796.8774 22.794 55 2.2679 0.4409 84.5296 37.275 0.08 0.0268 868.0285 23.2894 60 2.4432 0.4093 96.247 39.3803 0.004 0.0254 988.674 25.0930 72 2.922 0.3423 28.0772 43.8447 0.0078 0.0228 279.7938 29.893 75 3.0546 0.3274 36.9728 44.846 0.0073 0.0223 352.5600 30.63 84 3.4926 0.2863 66.726 47.5786 0.0060 0.020 568.540 32.9668 90 3.889 0.269 87.9299 49.2099 0.0053 0.0203 709.5439 34.7399 96 4.758 0.2395 2.7202 50.707 0.0047 0.097 847.4725 36.438 00 4.4320 0.2256 228.8030 5.6247 0.0044 0.094 937.4506 37.5295 08 4.9927 0.2003 266.778 53.337 0.0038 0.088 22.348 39.67 20 5.9693 0.675 33.2882 55.4985 0.0030 0.080 2359.74 42.585 32 7.370 0.40 409.354 57.3257 0.0024 0.074 2588.7085 45.579 44 8.5332 0.72 502.209 58.8540 0.0020 0.070 2798.5784 47.552 240 35.6328 0.028 2308.8544 64.7957 0.0004 0.054 3870.692 59.7368 360 22.7038 0.0047 43.5854 66.3532 0.000 0.05 430.765 64.9662 480 269.6975 0.0008 84579.8363 66.642 0.0000 0.050 445.742 66.2883 6 /28

2.00% 2.00%.0200 0.9804.0000 0.9804.0000.0200 0.0000 0.0000 2.0404 0.962 2.0200.946 0.4950 0.550 0.962 0.4950 3.062 0.9423 3.0604 2.8839 0.3268 0.3468 2.8458 0.9868 4.0824 0.9238 4.26 3.8077 0.2426 0.2626 5.673.4752 5.04 0.9057 5.2040 4.735 0.922 0.222 9.2403.9604 6.262 0.8880 6.308 5.604 0.585 0.785 3.680 2.4423 7.487 0.8706 7.4343 6.4720 0.345 0.545 8.9035 2.9208 8.77 0.8535 8.5830 7.3255 0.65 0.365 24.8779 3.396 9.95 0.8368 9.7546 8.622 0.025 0.225 3.5720 3.868 0.290 0.8203 0.9497 8.9826 0.093 0.3 38.955 4.3367.2434 0.8043 2.687 9.7868 0.0822 0.022 46.9977 4.802 2.2682 0.7885 3.42 0.5753 0.0746 0.0946 55.672 5.2642 3.2936 0.7730 4.6803.3484 0.068 0.088 64.9475 5.723 4.395 0.7579 5.9739 2.062 0.0626 0.0826 74.7999 6.786 5.3459 0.7430 7.2934 2.8493 0.0578 0.0778 85.202 6.6309 6.3728 0.7284 8.6393 3.5777 0.0537 0.0737 96.288 7.0799 7.4002 0.742 20.02 4.299 0.0500 0.0700 07.5554 7.5256 8.4282 0.7002 2.423 4.9920 0.0467 0.0667 9.458 7.968 9.4568 0.6864 22.8406 5.6785 0.0438 0.0638 3.839 8.4073 20.4859 0.6730 24.2974 6.354 0.042 0.062 44.6003 8.8433 2.557 0.6598 25.7833 7.02 0.0388 0.0588 57.7959 9.2760 22.5460 0.6468 27.2990 7.6580 0.0366 0.0566 7.3795 9.7055 23.5769 0.6342 28.8450 8.2922 0.0347 0.0547 85.3309 0.37 24.6084 0.627 30.429 8.939 0.0329 0.0529 99.6305 0.5547 25.6406 0.6095 32.0303 9.5235 0.032 0.052 24.2592 0.9745 26.6734 0.5976 33.6709 20.20 0.0297 0.0497 229.987.390 27.7069 0.5859 35.3443 20.7069 0.0283 0.0483 244.43.8043 28.740 0.5744 37.052 2.283 0.0270 0.0470 259.9392 2.245 29.7758 0.563 38.7922 2.8444 0.0258 0.0458 275.7064 2.624 30.84 0.552 40.568 22.3965 0.0246 0.0446 29.764 3.025 36 2.0399 0.4902 5.9944 25.4888 0.092 0.0392 392.0405 5.3809 40 2.2080 0.4529 60.4020 27.3555 0.066 0.0366 46.993 6.8885 48 2.587 0.3865 79.3535 30.673 0.026 0.0326 605.9657 9.7556 50 2.696 0.375 84.5794 3.4236 0.08 0.038 642.3606 20.4420 52 2.8003 0.357 90.064 32.449 0.0 0.03 678.7849 2.64 55 2.977 0.3365 98.5865 33.748 0.00 0.030 733.3527 22.057 60 3.280 0.3048 4.055 34.7609 0.0088 0.0288 823.6975 23.696 72 4.6 0.2403 58.0570 37.984 0.0063 0.0263 034.0557 27.2234 75 4.458 0.2265 70.798 38.677 0.0059 0.0259 084.6393 28.0434 84 5.2773 0.895 23.8666 40.5255 0.0047 0.0247 230.49 30.366 90 5.943 0.683 247.567 4.5869 0.0040 0.0240 322.70 3.7929 96 6.6929 0.494 284.6467 42.5294 0.0035 0.0235 409.2973 33.370 00 7.2446 0.380 32.2323 43.0984 0.0032 0.0232 464.7527 33.9863 08 8.4883 0.78 374.429 44.095 0.0027 0.0227 569.3025 35.5774 20 0.7652 0.0929 488.2582 45.3554 0.0020 0.0220 70.460 37.74 32 3.6528 0.0732 632.645 46.3378 0.006 0.026 833.475 39.5676 44 7.35 0.0578 85.7545 47.23 0.002 0.022 939.7950 4.738 240 5.8887 0.0086 5744.4368 49.5686 0.0002 0.0202 2374.8800 47.90 360 247.56 0.0008 62328.0564 49.9599 0.0000 0.0200 2483.5679 49.72 480 3430.989 0.000 67459.9468 49.9963 0.0000 0.0200 2498.0268 49.9643 7 /28

3% 3%.0300 0.9709.0000 0.9709.0000.0300 0.0000 0.0000 2.0609 0.9426 2.0300.935 0.4926 0.5226 0.9426 0.4926 3.0927 0.95 3.0909 2.8286 0.3235 0.3535 2.7729 0.9803 4.255 0.8885 4.836 3.77 0.2390 0.2690 5.4383.463 5.593 0.8626 5.309 4.5797 0.884 0.284 8.8888.9409 6.94 0.8375 6.4684 5.472 0.546 0.846 3.0762 2.438 7.2299 0.83 7.6625 6.2303 0.305 0.605 7.9547 2.889 8.2668 0.7894 8.8923 7.097 0.25 0.425 23.4806 3.3450 9.3048 0.7664 0.59 7.786 0.0984 0.284 29.69 3.8032 0.3439 0.744.4639 8.5302 0.0872 0.72 36.3088 4.2565.3842 0.7224 2.8078 9.2526 0.078 0.08 43.5330 4.7049 2.4258 0.704 4.920 9.9540 0.0705 0.005 5.2482 5.485 3.4685 0.680 5.678 0.6350 0.0640 0.0940 59.496 5.5872 4.526 0.66 7.0863.296 0.0585 0.0885 68.04 6.020 5.5580 0.649 8.5989.9379 0.0538 0.0838 77.0002 6.4500 6.6047 0.6232 20.569 2.56 0.0496 0.0796 86.3477 6.8742 7.6528 0.6050 2.766 3.66 0.0460 0.0760 96.0280 7.2936 8.7024 0.5874 23.444 3.7535 0.0427 0.0727 06.037 7.708 9.7535 0.5703 25.69 4.3238 0.0398 0.0698 6.2788 8.79 20.806 0.5537 26.8704 4.8775 0.0372 0.0672 26.7987 8.5229 2.8603 0.5375 28.6765 5.450 0.0349 0.0649 37.5496 8.923 22.96 0.529 30.5368 5.9369 0.0327 0.0627 48.5094 9.386 23.9736 0.5067 32.4529 6.4436 0.0308 0.0608 59.6566 9.7093 24 2.0328 0.499 34.4265 6.9355 0.0290 0.0590 70.97 0.0954 25 2.0938 0.4776 36.4593 7.43 0.0274 0.0574 82.4336 0.4768 26 2.566 0.4637 38.5530 7.8768 0.0259 0.0559 94.0260 0.8535 27 2.223 0.4502 40.7096 8.3270 0.0246 0.0546 205.7309.2255 28 2.2879 0.437 42.9309 8.764 0.0233 0.0533 27.5320.5930 29 2.3566 0.4243 45.289 9.885 0.022 0.052 229.437.9558 30 2.4273 0.420 47.5754 9.6004 0.020 0.050 24.363 2.34 3 2.500 0.4000 50.0027 20.0004 0.0200 0.0500 253.3609 2.6678 32 2.575 0.3883 52.5028 20.3888 0.090 0.0490 265.3993 3.069 33 2.6523 0.3770 55.0778 20.7658 0.082 0.0482 277.4642 3.366 34 2.739 0.3660 57.7302 2.38 0.073 0.0473 289.5437 3.708 35 2.839 0.3554 60.462 2.4872 0.065 0.0465 30.6267 4.0375 40 3.2620 0.3066 75.403 23.48 0.033 0.0433 36.7499 5.6502 45 3.786 0.2644 92.799 24.587 0.008 0.0408 420.6325 7.556 50 4.3839 0.228 2.7969 25.7298 0.0089 0.0389 477.4803 8.5575 55 5.082 0.968 36.076 26.7744 0.0073 0.0373 53.74 9.8600 60 5.896 0.697 63.0534 27.6756 0.006 0.036 583.0526 2.0674 8 /28

4% 4%.0400 0.965.0000 0.965.0000.0400 0.0000 0.0000 2.086 0.9246 2.0400.886 0.4902 0.5302 0.9246 0.4902 3.249 0.8890 3.26 2.775 0.3203 0.3603 2.7025 0.9739 4.699 0.8548 4.2465 3.6299 0.2355 0.2755 5.2670.450 5.267 0.829 5.463 4.458 0.846 0.2246 8.5547.926 6.2653 0.7903 6.6330 5.242 0.508 0.908 2.5062 2.3857 7.359 0.7599 7.8983 6.002 0.266 0.666 7.0657 2.8433 8.3686 0.7307 9.242 6.7327 0.085 0.485 22.806 3.2944 9.4233 0.7026 0.5828 7.4353 0.0945 0.345 27.803 3.739 0.4802 0.6756 2.006 8.09 0.0833 0.233 33.884 4.773.5395 0.6496 3.4864 8.7605 0.074 0.4 40.3772 4.6090 2.600 0.6246 5.0258 9.385 0.0666 0.066 47.2477 5.0343 3.665 0.6006 6.6268 9.9856 0.060 0.00 54.4546 5.4533 4.737 0.5775 8.299 0.563 0.0547 0.0947 6.968 5.8659 5.8009 0.5553 20.0236.84 0.0499 0.0899 69.7355 6.272 6.8730 0.5339 2.8245.6523 0.0458 0.0858 77.744 6.6720 7.9479 0.534 23.6975 2.657 0.0422 0.0822 85.958 7.0656 8 2.0258 0.4936 25.6454 2.6593 0.0390 0.0790 94.3498 7.4530 9 2.068 0.4746 27.672 3.339 0.036 0.076 02.8933 7.8342 20 2.9 0.4564 29.778 3.5903 0.0336 0.0736.5647 8.209 2 2.2788 0.4388 3.9692 4.0292 0.033 0.073 20.344 8.5779 22 2.3699 0.4220 34.2480 4.45 0.0292 0.0692 29.2024 8.9407 23 2.4647 0.4057 36.679 4.8568 0.0273 0.0673 38.284 9.2973 24 2.5633 0.390 39.0826 5.2470 0.0256 0.0656 47.02 9.6479 25 2.6658 0.375 4.6459 5.622 0.0240 0.0640 56.040 9.9925 26 2.7725 0.3607 44.37 5.9828 0.0226 0.0626 65.22 0.332 27 2.8834 0.3468 47.0842 6.3296 0.022 0.062 74.385 0.6640 28 2.9987 0.3335 49.9676 6.663 0.0200 0.0600 83.424 0.9909 29 3.87 0.3207 52.9663 6.9837 0.089 0.0589 92.206.320 30 3.2434 0.3083 56.0849 7.2920 0.078 0.0578 20.068.6274 3 3.373 0.2965 59.3283 7.5885 0.069 0.0569 209.9556.937 32 3.508 0.285 62.705 7.8736 0.059 0.0559 28.7924 2.24 33 3.6484 0.274 66.2095 8.476 0.05 0.055 227.5634 2.5396 34 3.7943 0.2636 69.8579 8.42 0.043 0.0543 236.2607 2.8324 35 3.946 0.2534 73.6522 8.6646 0.036 0.0536 244.8768 3.98 40 4.800 0.2083 95.0255 9.7928 0.005 0.0505 286.5303 4.4765 45 5.842 0.72 2.0294 20.7200 0.0083 0.0483 325.4028 5.7047 50 7.067 0.407 52.667 2.4822 0.0066 0.0466 36.638 6.822 55 8.6464 0.57 9.592 22.086 0.0052 0.0452 393.6890 7.8070 60 0.596 0.095 237.9907 22.6235 0.0042 0.0442 422.9966 8.6972 9 /28

5% 5%.0500 0.9524.0000 0.9524.0000.0500 0.0000 0.0000 2.025 0.9070 2.0500.8594 0.4878 0.5378 0.9070 0.4878 3.576 0.8638 3.525 2.7232 0.372 0.3672 2.6347 0.9675 4.255 0.8227 4.30 3.5460 0.2320 0.2820 5.028.439 5.2763 0.7835 5.5256 4.3295 0.80 0.230 8.2369.9025 6.340 0.7462 6.809 5.0757 0.470 0.970.9680 2.3579 7.407 0.707 8.420 5.7864 0.228 0.728 6.232 2.8052 8.4775 0.6768 9.549 6.4632 0.047 0.547 20.9700 3.2445 9.553 0.6446.0266 7.078 0.0907 0.407 26.268 3.6758 0.6289 0.639 2.5779 7.727 0.0795 0.295 3.6520 4.099.703 0.5847 4.2068 8.3064 0.0704 0.204 37.4988 4.544 2.7959 0.5568 5.97 8.8633 0.0628 0.28 43.624 4.929 3.8856 0.5303 7.730 9.3936 0.0565 0.065 49.9879 5.325 4.9799 0.505 9.5986 9.8986 0.050 0.00 56.5538 5.733 5 2.0789 0.480 2.5786 0.3797 0.0463 0.0963 63.2880 6.0973 6 2.829 0.458 23.6575 0.8378 0.0423 0.0923 70.597 6.4736 7 2.2920 0.4363 25.8404.274 0.0387 0.0887 77.405 6.8423 8 2.4066 0.455 28.324.6896 0.0355 0.0855 84.2043 7.2034 9 2.5270 0.3957 30.5390 2.0853 0.0327 0.0827 9.3275 7.5569 20 2.6533 0.3769 33.0660 2.4622 0.0302 0.0802 98.4884 7.9030 2 2.7860 0.3589 35.793 2.822 0.0280 0.0780 05.6673 8.246 22 2.9253 0.348 38.5052 3.630 0.0260 0.0760 2.846 8.5730 23 3.075 0.3256 4.4305 3.4886 0.024 0.074 20.0087 8.897 24 3.225 0.30 44.5020 3.7986 0.0225 0.0725 27.402 9.240 25 3.3864 0.2953 47.727 4.0939 0.020 0.070 34.2275 9.5238 26 3.5557 0.282 5.35 4.3752 0.096 0.0696 4.2585 9.8266 27 3.7335 0.2678 54.669 4.6430 0.083 0.0683 48.2226 0.224 28 3.920 0.255 58.4026 4.898 0.07 0.067 55.0 0.44 29 4.6 0.2429 62.3227 5.4 0.060 0.0660 6.926 0.6936 30 4.329 0.234 66.4388 5.3725 0.05 0.065 68.6226 0.969 3 4.5380 0.2204 70.7608 5.5928 0.04 0.064 75.2333.238 32 4.7649 0.2099 75.2988 5.8027 0.033 0.0633 8.7392.5005 33 5.0032 0.999 80.0638 6.0025 0.025 0.0625 88.35.7566 34 5.2533 0.904 85.0670 6.929 0.08 0.068 94.468 2.0063 35 5.560 0.83 90.3203 6.3742 0.0 0.06 200.5807 2.2498 40 7.0400 0.420 20.7998 7.59 0.0083 0.0583 229.5452 3.3775 45 8.9850 0.3 59.7002 7.774 0.0063 0.0563 255.345 4.3644 50.4674 0.0872 209.3480 8.2559 0.0048 0.0548 277.948 5.2233 55 4.6356 0.0683 272.726 8.6335 0.0037 0.0537 297.504 5.9664 60 8.6792 0.0535 353.5837 8.9293 0.0028 0.0528 34.3432 6.6062 0 /28

6% 6%.0600 0.9434.0000 0.9434.0000.0600 0.0000 0.0000 2.236 0.8900 2.0600.8334 0.4854 0.5454 0.8900 0.4854 3.90 0.8396 3.836 2.6730 0.34 0.374 2.5692 0.962 4.2625 0.792 4.3746 3.465 0.2286 0.2886 4.9455.4272 5.3382 0.7473 5.637 4.224 0.774 0.2374 7.9345.8836 6.485 0.7050 6.9753 4.973 0.434 0.2034.4594 2.3304 7.5036 0.665 8.3938 5.5824 0.9 0.79 5.4497 2.7676 8.5938 0.6274 9.8975 6.2098 0.00 0.60 9.846 3.952 9.6895 0.599.493 6.807 0.0870 0.470 24.5768 3.633 0.7908 0.5584 3.808 7.360 0.0759 0.359 29.6023 4.0220.8983 0.5268 4.976 7.8869 0.0668 0.268 34.8702 4.423 2 2.022 0.4970 6.8699 8.3838 0.0593 0.93 40.3369 4.83 3 2.329 0.4688 8.882 8.8527 0.0530 0.30 45.9629 5.920 4 2.2609 0.4423 2.05 9.2950 0.0476 0.076 5.728 5.5635 5 2.3966 0.473 23.2760 9.722 0.0430 0.030 57.5546 5.9260 6 2.5404 0.3936 25.6725 0.059 0.0390 0.0990 63.4592 6.2794 7 2.6928 0.374 28.229 0.4773 0.0354 0.0954 69.40 6.6240 8 2.8543 0.3503 30.9057 0.8276 0.0324 0.0924 75.3569 6.9597 9 3.0256 0.3305 33.7600.58 0.0296 0.0896 8.3062 7.2867 20 3.207 0.38 36.7856.4699 0.0272 0.0872 87.2304 7.605 2 3.3996 0.2942 39.9927.764 0.0250 0.0850 93.36 7.95 22 3.6035 0.2775 43.3923 2.046 0.0230 0.0830 98.942 8.266 23 3.897 0.268 46.9958 2.3034 0.023 0.083 04.7007 8.5099 24 4.0489 0.2470 50.856 2.5504 0.097 0.0797 0.382 8.795 25 4.299 0.2330 54.8645 2.7834 0.082 0.0782 5.9732 9.0722 26 4.5494 0.298 59.564 3.0032 0.069 0.0769 2.4684 9.344 27 4.8223 0.2074 63.7058 3.205 0.057 0.0757 26.8600 9.6029 28 5.7 0.956 68.528 3.4062 0.046 0.0746 32.420 9.8568 29 5.484 0.846 73.6398 3.5907 0.036 0.0736 37.3096 0.032 30 5.7435 0.74 79.0582 3.7648 0.026 0.0726 42.3588 0.3422 3 6.088 0.643 84.807 3.929 0.08 0.078 47.2864 0.5740 32 6.4534 0.550 90.8898 4.0840 0.00 0.070 52.090 0.7988 33 6.8406 0.462 97.3432 4.2302 0.003 0.0703 56.768.066 34 7.250 0.379 04.838 4.368 0.0096 0.0696 6.392.2276 35 7.686 0.30.4348 4.4982 0.0090 0.0690 65.7427.439 40 0.2857 0.0972 54.7620 5.0463 0.0065 0.0665 85.9568 2.3590 45 3.7646 0.0727 22.7435 5.4558 0.0047 0.0647 203.096 3.43 50 8.4202 0.0543 290.3359 5.769 0.0034 0.0634 27.4574 3.7964 55 24.6503 0.0406 394.720 5.9905 0.0025 0.0625 229.3222 4.34 60 32.9877 0.0303 533.282 6.64 0.009 0.069 239.0428 4.7909 /28

7% 7%.0700 0.9346.0000 0.9346.0000.0700 0.0000 0.0000 2.449 0.8734 2.0700.8080 0.483 0.553 0.8734 0.483 3.2250 0.863 3.249 2.6243 0.3 0.38 2.5060 0.9549 4.308 0.7629 4.4399 3.3872 0.2252 0.2952 4.7947.455 5.4026 0.730 5.7507 4.002 0.739 0.2439 7.6467.8650 6.5007 0.6663 7.533 4.7665 0.398 0.2098 0.9784 2.3032 7.6058 0.6227 8.6540 5.3893 0.56 0.856 4.749 2.7304 8.782 0.5820 0.2598 5.973 0.0975 0.675 8.7889 3.465 9.8385 0.5439.9780 6.552 0.0835 0.535 23.404 3.557 0.9672 0.5083 3.864 7.0236 0.0724 0.424 27.756 3.946 2.049 0.475 5.7836 7.4987 0.0634 0.334 32.4665 4.3296 2 2.2522 0.4440 7.8885 7.9427 0.0559 0.259 37.3506 4.7025 3 2.4098 0.450 20.406 8.3577 0.0497 0.97 42.3302 5.0648 4 2.5785 0.3878 22.5505 8.7455 0.0443 0.43 47.378 5.467 5 2.7590 0.3624 25.290 9.079 0.0398 0.098 52.446 5.7583 6 2.9522 0.3387 27.888 9.4466 0.0359 0.059 57.527 6.0897 7 3.588 0.366 30.8402 9.7632 0.0324 0.024 62.5923 6.40 8 3.3799 0.2959 33.9990 0.059 0.0294 0.0994 67.629 6.7225 9 3.665 0.2765 37.3790 0.3356 0.0268 0.0968 72.599 7.0242 20 3.8697 0.2584 40.9955 0.5940 0.0244 0.0944 77.509 7.363 2 4.406 0.245 44.8652 0.8355 0.0223 0.0923 82.3393 7.5990 22 4.4304 0.2257 49.0057.062 0.0204 0.0904 87.0793 7.8725 23 4.7405 0.209 53.436.2722 0.087 0.0887 9.720 8.369 24 5.0724 0.97 58.767.4693 0.072 0.0872 96.2545 8.3923 25 5.4274 0.842 63.2490.6536 0.058 0.0858 00.6765 8.639 26 5.8074 0.722 68.6765.8258 0.046 0.0846 04.984 8.8773 27 6.239 0.609 74.4838.9867 0.034 0.0834 09.656 9.072 28 6.6488 0.504 80.6977 2.37 0.024 0.0824 3.2264 9.3289 29 7.43 0.406 87.3465 2.2777 0.04 0.084 7.622 9.5427 30 7.623 0.34 94.4608 2.4090 0.006 0.0806 20.978 9.7487 3 8.45 0.228 02.0730 2.538 0.0098 0.0798 24.6550 9.947 32 8.753 0.47 0.282 2.6466 0.009 0.079 28.220 0.38 33 9.3253 0.072 8.9334 2.7538 0.0084 0.0784 3.6435 0.329 34 9.978 0.002 28.2588 2.8540 0.0078 0.0778 34.9507 0.4987 35 0.6766 0.0937 38.2369 2.9477 0.0072 0.0772 38.353 0.6687 40 4.9745 0.0668 99.635 3.337 0.0050 0.0750 52.2928.4233 45 2.0025 0.0476 285.7493 3.6055 0.0035 0.0735 63.7559 2.0360 50 29.4570 0.0339 406.5289 3.8007 0.0025 0.0725 72.905 2.5287 55 4.350 0.0242 575.9286 3.9399 0.007 0.077 80.243 2.925 60 57.9464 0.073 83.5204 4.0392 0.002 0.072 85.7677 3.232 2 /28

8% 8%.0800 0.9259.0000 0.9259.0000.0800 0.0000 0.0000 2.664 0.8573 2.0800.7833 0.4808 0.5608 0.8573 0.4808 3.2597 0.7938 3.2464 2.577 0.3080 0.3880 2.4450 0.9487 4.3605 0.7350 4.506 3.32 0.229 0.309 4.650.4040 5.4693 0.6806 5.8666 3.9927 0.705 0.2505 7.3724.8465 6.5869 0.6302 7.3359 4.6229 0.363 0.263 0.5233 2.2763 7.738 0.5835 8.9228 5.2064 0.2 0.92 4.0242 2.6937 8.8509 0.5403 0.6366 5.7466 0.0940 0.740 7.806 3.0985 9.9990 0.5002 2.4876 6.2469 0.080 0.60 2.808 3.490 0 2.589 0.4632 4.4866 6.70 0.0690 0.490 25.9768 3.873 2.336 0.4289 6.6455 7.390 0.060 0.40 30.2657 4.2395 2 2.582 0.397 8.977 7.536 0.0527 0.327 34.6339 4.5957 3 2.796 0.3677 2.4953 7.9038 0.0465 0.265 39.0463 4.9402 4 2.9372 0.3405 24.249 8.2442 0.043 0.23 43.4723 5.273 5 3.722 0.352 27.52 8.5595 0.0368 0.68 47.8857 5.5945 6 3.4259 0.299 30.3243 8.854 0.0330 0.30 52.2640 5.9046 7 3.7000 0.2703 33.7502 9.26 0.0296 0.096 56.5883 6.2037 8 3.9960 0.2502 37.4502 9.379 0.0267 0.067 60.8426 6.4920 9 4.357 0.237 4.4463 9.6036 0.024 0.04 65.034 6.7697 20 4.660 0.245 45.7620 9.88 0.029 0.09 69.0898 7.0369 2 5.0338 0.987 50.4229 0.068 0.098 0.0998 73.0629 7.2940 22 5.4365 0.839 55.4568 0.2007 0.080 0.0980 76.9257 7.542 23 5.875 0.703 60.8933 0.37 0.064 0.0964 80.6726 7.7786 24 6.342 0.577 66.7648 0.5288 0.050 0.0950 84.2997 8.0066 25 6.8485 0.460 73.059 0.6748 0.037 0.0937 87.804 8.2254 26 7.3964 0.352 79.9544 0.800 0.025 0.0925 9.842 8.4352 27 7.988 0.252 87.3508 0.9352 0.04 0.094 94.4390 8.6363 28 8.627 0.59 95.3388.05 0.005 0.0905 97.5687 8.8289 29 9.373 0.073 03.9659.584 0.0096 0.0896 00.5738 9.033 30 0.0627 0.0994 3.2832.2578 0.0088 0.0888 03.4558 9.897 3 0.8677 0.0920 23.3459.3498 0.008 0.088 06.263 9.3584 32.737 0.0852 34.235.4350 0.0075 0.0875 08.8575 9.597 33 2.6760 0.0789 45.9506.539 0.0069 0.0869.389 9.6737 34 3.690 0.0730 58.6267.5869 0.0063 0.0863 3.7924 9.8208 35 4.7853 0.0676 72.368.6546 0.0058 0.0858 6.0920 9.96 40 2.7245 0.0460 259.0565.9246 0.0039 0.0839 26.0422 0.5699 45 3.9204 0.033 386.5056 2.084 0.0026 0.0826 33.733.0447 50 46.906 0.023 573.7702 2.2335 0.007 0.087 39.5928.407 55 68.939 0.045 848.9232 2.386 0.002 0.082 44.0065.6902 60 0.257 0.0099 253.233 2.3766 0.0008 0.0808 47.3000.905 3 /28

9% 9%.0900 0.974.0000 0.974.0000.0900 0.0000 0.0000 2.88 0.847 2.0900.759 0.4785 0.5685 0.847 0.4785 3.2950 0.7722 3.278 2.533 0.305 0.395 2.3860 0.9426 4.46 0.7084 4.573 3.2397 0.287 0.3087 4.53.3925 5.5386 0.6499 5.9847 3.8897 0.67 0.257 7.0.8282 6.677 0.5963 7.5233 4.4859 0.329 0.2229 0.0924 2.2498 7.8280 0.5470 9.2004 5.0330 0.087 0.987 3.3746 2.6574 8.9926 0.509.0285 5.5348 0.0907 0.807 6.8877 3.052 9 2.79 0.4604 3.020 5.9952 0.0768 0.668 20.57 3.432 0 2.3674 0.4224 5.929 6.477 0.0658 0.558 24.3728 3.7978 2.5804 0.3875 7.5603 6.8052 0.0569 0.469 28.248 4.50 2 2.827 0.3555 20.407 7.607 0.0497 0.397 32.590 4.490 3 3.0658 0.3262 22.9534 7.4869 0.0436 0.336 36.073 4.882 4 3.347 0.2992 26.092 7.7862 0.0384 0.284 39.9633 5.326 5 3.6425 0.2745 29.3609 8.0607 0.034 0.24 43.8069 5.4346 6 3.9703 0.259 33.0034 8.326 0.0303 0.203 47.5849 5.7245 7 4.3276 0.23 36.9737 8.5436 0.0270 0.70 5.282 6.0024 8 4.77 0.220 4.303 8.7556 0.0242 0.42 54.8860 6.2687 9 5.47 0.945 46.085 8.950 0.027 0.7 58.3868 6.5236 20 5.6044 0.784 5.60 9.285 0.095 0.095 6.7770 6.7674 2 6.088 0.637 56.7645 9.2922 0.076 0.076 65.0509 7.0006 22 6.6586 0.502 62.8733 9.4424 0.059 0.059 68.2048 7.2232 23 7.2579 0.378 69.539 9.5802 0.044 0.044 7.2359 7.4357 24 7.9 0.264 76.7898 9.7066 0.030 0.030 74.433 7.6384 25 8.623 0.60 84.7009 9.8226 0.08 0.08 76.9265 7.836 26 9.3992 0.064 93.3240 9.9290 0.007 0.007 79.5863 8.056 27 0.245 0.0976 02.723 0.0266 0.0097 0.0997 82.24 8.906 28.67 0.0895 2.9682 0.6 0.0089 0.0989 84.549 8.357 29 2.722 0.0822 24.354 0.983 0.008 0.098 86.8422 8.554 30 3.2677 0.0754 36.3075 0.2737 0.0073 0.0973 89.0280 8.6657 3 4.468 0.069 49.5752 0.3428 0.0067 0.0967 9.024 8.8083 32 5.7633 0.0634 64.0370 0.4062 0.006 0.096 93.0690 8.9436 33 7.820 0.0582 79.8003 0.4644 0.0056 0.0956 94.934 9.078 34 8.7284 0.0534 96.9823 0.578 0.005 0.095 96.6935 9.933 35 20.440 0.0490 25.708 0.5668 0.0046 0.0946 98.3590 9.3083 40 3.4094 0.038 337.8824 0.7574 0.0030 0.0930 05.3762 9.7957 45 48.3273 0.0207 525.8587 0.882 0.009 0.099 0.556 0.603 50 74.3575 0.034 85.0836 0.967 0.002 0.092 4.325 0.4295 55 4.4083 0.0087 260.098.040 0.0008 0.0908 7.0362 0.626 60 76.033 0.0057 944.792.0480 0.0005 0.0905 8.9683 0.7683 4 /28

0% 0%.000 0.909.0000 0.909.0000.000 0.0000 0.0000 2.200 0.8264 2.000.7355 0.4762 0.5762 0.8264 0.4762 3.330 0.753 3.300 2.4869 0.302 0.402 2.329 0.9366 4.464 0.6830 4.640 3.699 0.255 0.355 4.378.382 5.605 0.6209 6.05 3.7908 0.638 0.2638 6.868.80 6.776 0.5645 7.756 4.3553 0.296 0.2296 9.6842 2.2236 7.9487 0.532 9.4872 4.8684 0.054 0.2054 2.763 2.626 8 2.436 0.4665.4359 5.3349 0.0874 0.874 6.0287 3.0045 9 2.3579 0.424 3.5795 5.7590 0.0736 0.736 9.425 3.3724 0 2.5937 0.3855 5.9374 6.446 0.0627 0.627 22.893 3.7255 2.853 0.3505 8.532 6.495 0.0540 0.540 26.3963 4.064 2 3.384 0.386 2.3843 6.837 0.0468 0.468 29.902 4.3884 3 3.4523 0.2897 24.5227 7.034 0.0408 0.408 33.3772 4.6988 4 3.7975 0.2633 27.9750 7.3667 0.0357 0.357 36.8005 4.9955 5 4.772 0.2394 3.7725 7.606 0.035 0.35 40.520 5.2789 6 4.5950 0.276 35.9497 7.8237 0.0278 0.278 43.464 5.5493 7 5.0545 0.978 40.5447 8.026 0.0247 0.247 46.589 5.807 8 5.5599 0.799 45.5992 8.204 0.029 0.29 49.6395 6.0526 9 6.59 0.635 5.59 8.3649 0.095 0.95 52.5827 6.286 20 6.7275 0.486 57.2750 8.536 0.075 0.75 55.4069 6.508 2 7.4002 0.35 64.0025 8.6487 0.056 0.56 58.095 6.789 22 8.403 0.228 7.4027 8.775 0.040 0.40 60.6893 6.989 23 8.9543 0.7 79.5430 8.8832 0.026 0.26 63.462 7.085 24 9.8497 0.05 88.4973 8.9847 0.03 0.3 65.483 7.288 25 0.8347 0.0923 98.347 9.0770 0.002 0.02 67.6964 7.4580 26.982 0.0839 09.88 9.609 0.0092 0.092 69.7940 7.686 27 3.00 0.0763 2.0999 9.2372 0.0083 0.083 7.7773 7.7704 28 4.420 0.0693 34.2099 9.3066 0.0075 0.075 73.6495 7.937 29 5.863 0.0630 48.6309 9.3696 0.0067 0.067 75.446 8.0489 30 7.4494 0.0573 64.4940 9.4269 0.006 0.06 77.0766 8.762 3 9.943 0.052 8.9434 9.4790 0.0055 0.055 78.6395 8.2962 32 2.38 0.0474 20.378 9.5264 0.0050 0.050 80.078 8.409 33 23.2252 0.043 222.255 9.5694 0.0045 0.045 8.4856 8.552 34 25.5477 0.039 245.4767 9.6086 0.004 0.04 82.7773 8.649 35 28.024 0.0356 27.0244 9.6442 0.0037 0.037 83.9872 8.7086 40 45.2593 0.022 442.5926 9.779 0.0023 0.023 88.9525 9.0962 45 72.8905 0.037 78.9048 9.8628 0.004 0.04 92.4544 9.3740 50 7.3909 0.0085 63.9085 9.948 0.0009 0.009 94.8889 9.5704 55 89.059 0.0053 880.594 9.947 0.0005 0.005 96.569 9.7075 60 304.486 0.0033 3034.864 9.9672 0.0003 0.003 97.700 9.8023 5 /28

% %.00 0.9009.0000 0.9009.0000.00 0.0000 0.0000 2.232 0.86 2.00.725 0.4739 0.5839 0.86 0.4739 3.3676 0.732 3.342 2.4437 0.2992 0.4092 2.2740 0.9306 4.58 0.6587 4.7097 3.024 0.223 0.3223 4.2502.3700 5.685 0.5935 6.2278 3.6959 0.606 0.2706 6.6240.7923 6.8704 0.5346 7.929 4.2305 0.264 0.2364 9.2972 2.976 7 2.0762 0.487 9.7833 4.722 0.022 0.222 2.872 2.5863 8 2.3045 0.4339.8594 5.46 0.0843 0.943 5.2246 2.9585 9 2.5580 0.3909 4.640 5.5370 0.0706 0.806 8.3520 3.344 0 2.8394 0.3522 6.7220 5.8892 0.0598 0.698 2.527 3.6544 3.58 0.373 9.564 6.2065 0.05 0.6 24.6945 3.9788 2 3.4985 0.2858 22.732 6.4924 0.0440 0.540 27.8388 4.2879 3 3.8833 0.2575 26.26 6.7499 0.0382 0.482 30.9290 4.5822 4 4.304 0.2320 30.0949 6.989 0.0332 0.432 33.9449 4.869 5 4.7846 0.2090 34.4054 7.909 0.029 0.39 36.8709 5.275 6 5.309 0.883 39.899 7.3792 0.0255 0.355 39.6953 5.3794 7 5.895 0.696 44.5008 7.5488 0.0225 0.325 42.4095 5.680 8 6.5436 0.528 50.3959 7.706 0.098 0.298 45.0074 5.8439 9 7.2633 0.377 56.9395 7.8393 0.076 0.276 47.4856 6.0574 20 8.0623 0.240 64.2028 7.9633 0.056 0.256 49.8423 6.2590 2 8.9492 0.7 72.265 8.075 0.038 0.238 52.077 6.449 22 9.9336 0.007 8.243 8.757 0.023 0.223 54.92 6.6283 23.0263 0.0907 9.479 8.2664 0.00 0.20 56.864 6.7969 24 2.2392 0.087 02.742 8.348 0.0098 0.98 58.0656 6.9555 25 3.5855 0.0736 4.433 8.427 0.0087 0.87 59.8322 7.045 26 5.0799 0.0663 27.9988 8.488 0.0078 0.78 6.4900 7.2443 27 6.7386 0.0597 43.0786 8.5478 0.0070 0.70 63.0433 7.3754 28 8.5799 0.0538 59.873 8.606 0.0063 0.63 64.4965 7.4982 29 20.6237 0.0485 78.3972 8.650 0.0056 0.56 65.8542 7.63 30 22.8923 0.0437 99.0209 8.6938 0.0050 0.50 67.20 7.7206 3 25.404 0.0394 22.932 8.733 0.0045 0.45 68.306 7.820 32 28.2056 0.0355 247.3236 8.7686 0.0040 0.40 69.4007 7.947 33 3.3082 0.039 275.5292 8.8005 0.0036 0.36 70.4228 8.002 34 34.752 0.0288 306.8374 8.8293 0.0033 0.33 7.3724 8.0836 35 38.5749 0.0259 34.5896 8.8552 0.0029 0.29 72.2538 8.594 40 65.0009 0.054 58.826 8.95 0.007 0.7 75.7789 8.4659 45 09.5302 0.009 986.6386 9.0079 0.000 0.0 78.55 8.6763 50 84.5648 0.0054 668.772 9.047 0.0006 0.06 79.734 8.885 55 3.0025 0.0032 288.2042 9.067 0.0004 0.04 80.772 8.935 60 524.0572 0.009 4755.0658 9.0736 0.0002 0.02 8.446 8.9762 6 /28

2% 2%.200 0.8929.0000 0.8929.0000.200 0.0000 0.0000 2.2544 0.7972 2.200.690 0.477 0.597 0.7972 0.477 3.4049 0.78 3.3744 2.408 0.2963 0.463 2.2208 0.9246 4.5735 0.6355 4.7793 3.0373 0.2092 0.3292 4.273.3589 5.7623 0.5674 6.3528 3.6048 0.574 0.2774 6.3970.7746 6.9738 0.5066 8.52 4.4 0.232 0.2432 8.9302 2.720 7 2.207 0.4523 0.0890 4.5638 0.099 0.29.6443 2.555 8 2.4760 0.4039 2.2997 4.9676 0.083 0.203 4.474 2.93 9 2.773 0.3606 4.7757 5.3282 0.0677 0.877 7.3563 3.2574 0 3.058 0.3220 7.5487 5.6502 0.0570 0.770 20.254 3.5847 3.4785 0.2875 20.6546 5.9377 0.0484 0.684 23.288 3.8953 2 3.8960 0.2567 24.33 6.944 0.044 0.64 25.9523 4.897 3 4.3635 0.2292 28.029 6.4235 0.0357 0.557 28.7024 4.4683 4 4.887 0.2046 32.3926 6.6282 0.0309 0.509 3.3624 4.737 5 5.4736 0.827 37.2797 6.809 0.0268 0.468 33.9202 4.9803 6 6.304 0.63 42.7533 6.9740 0.0234 0.434 36.3670 5.247 7 6.8660 0.456 48.8837 7.96 0.0205 0.405 38.6973 5.4353 8 7.6900 0.300 55.7497 7.2497 0.079 0.379 40.9080 5.6427 9 8.628 0.6 63.4397 7.3658 0.058 0.358 42.9979 5.8375 20 9.6463 0.037 72.0524 7.4694 0.039 0.339 44.9676 6.0202 2 0.8038 0.0926 8.6987 7.5620 0.022 0.322 46.888 6.93 22 2.003 0.0826 92.5026 7.6446 0.008 0.308 48.5543 6.354 23 3.5523 0.0738 04.6029 7.784 0.0096 0.296 50.776 6.500 24 5.786 0.0659 8.552 7.7843 0.0085 0.285 5.6929 6.6406 25 7.000 0.0588 33.3339 7.843 0.0075 0.275 53.046 6.7708 26 9.040 0.0525 50.3339 7.8957 0.0067 0.267 54.477 6.892 27 2.3249 0.0469 69.3740 7.9426 0.0059 0.259 55.6369 7.0049 28 23.8839 0.049 90.6989 7.9844 0.0052 0.252 56.7674 7.098 29 26.7499 0.0374 24.5828 8.028 0.0047 0.247 57.84 7.207 30 29.9599 0.0334 24.3327 8.0552 0.004 0.24 58.782 7.2974 3 33.555 0.0298 27.2926 8.0850 0.0037 0.237 59.676 7.38 32 37.587 0.0266 304.8477 8.6 0.0033 0.233 60.500 7.4586 33 42.095 0.0238 342.4294 8.354 0.0029 0.229 6.262 7.5302 34 47.425 0.022 384.520 8.566 0.0026 0.226 6.962 7.5965 35 52.7996 0.089 43.6635 8.755 0.0023 0.223 62.6052 7.6577 40 93.050 0.007 767.094 8.2438 0.003 0.23 65.59 7.8988 45 63.9876 0.006 358.2300 8.2825 0.0007 0.207 66.7342 8.0572 50 289.0022 0.0035 2400.082 8.3045 0.0004 0.204 67.7624 8.597 55 509.3206 0.0020 4236.0050 8.370 0.0002 0.202 68.4082 8.225 60 897.5969 0.00 747.64 8.3240 0.000 0.20 68.800 8.2664 7 /28

3% 3%.300 0.8850.0000 0.8850.0000.300 0.0000 0.0000 2.2769 0.783 2.300.668 0.4695 0.5995 0.783 0.4695 3.4429 0.693 3.4069 2.362 0.2935 0.4235 2.692 0.987 4.6305 0.633 4.8498 2.9745 0.2062 0.3362 4.0092.3479 5.8424 0.5428 6.4803 3.572 0.543 0.2843 6.802.757 6 2.0820 0.4803 8.3227 3.9975 0.202 0.2502 8.588 2.468 7 2.3526 0.425 0.4047 4.4226 0.096 0.226.322 2.57 8 2.6584 0.3762 2.7573 4.7988 0.0784 0.2084 3.7653 2.8685 9 3.0040 0.3329 5.457 5.37 0.0649 0.949 6.4284 3.204 0 3.3946 0.2946 8.497 5.4262 0.0543 0.843 9.0797 3.562 3.8359 0.2607 2.843 5.6869 0.0458 0.758 2.6867 3.834 2 4.3345 0.2307 25.6502 5.976 0.0390 0.690 24.2244 4.0936 3 4.8980 0.2042 29.9847 6.28 0.0334 0.634 26.6744 4.3573 4 5.5348 0.807 34.8827 6.3025 0.0287 0.587 29.0232 4.6050 5 6.2543 0.599 40.475 6.4624 0.0247 0.547 3.267 4.8375 6 7.0673 0.45 46.677 6.6039 0.024 0.54 33.384 5.0552 7 7.986 0.252 53.739 6.729 0.086 0.486 35.3876 5.2589 8 9.0243 0.08 6.725 6.8399 0.062 0.462 37.274 5.449 9 0.974 0.098 70.7494 6.9380 0.04 0.44 39.0366 5.6265 20.523 0.0868 80.9468 7.0248 0.024 0.424 40.6854 5.797 2 3.02 0.0768 92.4699 7.06 0.008 0.408 42.224 5.9454 22 4.738 0.0680 05.490 7.695 0.0095 0.395 43.6486 6.088 23 6.6266 0.060 20.2048 7.2297 0.0083 0.383 44.978 6.2205 24 8.788 0.0532 36.835 7.2829 0.0073 0.373 46.960 6.343 25 2.2305 0.047 55.696 7.3300 0.0064 0.364 47.3264 6.4566 26 23.9905 0.047 76.850 7.377 0.0057 0.357 48.3685 6.564 27 27.093 0.0369 200.8406 7.4086 0.0050 0.350 49.3276 6.6582 28 30.6335 0.0326 227.9499 7.442 0.0044 0.344 50.2090 6.7474 29 34.658 0.0289 258.5834 7.470 0.0039 0.339 5.079 6.8296 30 39.59 0.0256 293.992 7.4957 0.0034 0.334 5.7592 6.9052 3 44.200 0.0226 332.35 7.583 0.0030 0.330 52.4380 6.9747 32 49.947 0.0200 376.56 7.5383 0.0027 0.327 53.0586 7.0385 33 56.4402 0.077 426.4632 7.5560 0.0023 0.323 53.6256 7.097 34 63.7774 0.057 482.9034 7.577 0.002 0.32 54.430 7.507 35 72.0685 0.039 546.6808 7.5856 0.008 0.38 54.648 7.998 40 32.786 0.0075 03.7042 7.6344 0.000 0.30 56.4087 7.3888 45 244.644 0.004 874.646 7.6609 0.0005 0.305 57.548 7.5076 50 450.7359 0.0022 3459.507 7.6752 0.0003 0.303 58.870 7.58 55 830.457 0.002 6380.3979 7.6830 0.0002 0.302 58.5909 7.6260 60 530.0535 0.0007 76.9498 7.6873 0.000 0.30 58.833 7.653 8 /28

4% 4%.400 0.8772.0000 0.8772.0000.400 0.0000 0.0000 2.2996 0.7695 2.400.6467 0.4673 0.6073 0.7695 0.4673 3.485 0.6750 3.4396 2.326 0.2907 0.4307 2.94 0.929 4.6890 0.592 4.92 2.937 0.2032 0.3432 3.8957.3370 5.9254 0.594 6.60 3.433 0.53 0.293 5.973.7399 6 2.950 0.4556 8.5355 3.8887 0.72 0.2572 8.25 2.28 7 2.5023 0.3996 0.7305 4.2883 0.0932 0.2332 0.6489 2.4832 8 2.8526 0.3506 3.2328 4.6389 0.0756 0.256 3.028 2.8246 9 3.259 0.3075 6.0853 4.9464 0.0622 0.2022 5.5629 3.463 0 3.7072 0.2697 9.3373 5.26 0.057 0.97 7.9906 3.4490 4.2262 0.2366 23.0445 5.4527 0.0434 0.834 20.3567 3.7333 2 4.879 0.2076 27.2707 5.6603 0.0367 0.767 22.6399 3.9998 3 5.4924 0.82 32.0887 5.8424 0.032 0.72 24.8247 4.249 4 6.263 0.597 37.58 6.002 0.0266 0.666 26.9009 4.489 5 7.379 0.40 43.8424 6.422 0.0228 0.628 28.8623 4.6990 6 8.372 0.229 50.9804 6.265 0.096 0.596 30.7057 4.90 7 9.2765 0.078 59.76 6.3729 0.069 0.569 32.4305 5.0888 8 0.5752 0.0946 68.394 6.4674 0.046 0.546 34.0380 5.2630 9 2.0557 0.0829 78.9692 6.5504 0.027 0.527 35.53 5.4243 20 3.7435 0.0728 9.0249 6.623 0.00 0.50 36.935 5.5734 2 5.6676 0.0638 04.7684 6.6870 0.0095 0.495 38.90 5.7 22 7.860 0.0560 20.4360 6.7429 0.0083 0.483 39.3658 5.838 23 20.366 0.049 38.2970 6.792 0.0072 0.472 40.4463 5.9549 24 23.222 0.043 58.6586 6.835 0.0063 0.463 4.437 6.0624 25 26.469 0.0378 8.8708 6.8729 0.0055 0.455 42.344 6.60 26 30.666 0.033 208.3327 6.906 0.0048 0.448 43.728 6.254 27 34.3899 0.029 238.4993 6.9352 0.0042 0.442 43.9289 6.3342 28 39.2045 0.0255 272.8892 6.9607 0.0037 0.437 44.676 6.400 29 44.693 0.0224 32.0937 6.9830 0.0032 0.432 45.244 6.479 30 50.9502 0.096 356.7868 7.0027 0.0028 0.428 45.832 6.5423 3 58.0832 0.072 407.7370 7.099 0.0025 0.425 46.3297 6.5998 32 66.248 0.05 465.8202 7.0350 0.002 0.42 46.7979 6.6522 33 75.4849 0.032 532.0350 7.0482 0.009 0.49 47.228 6.6998 34 86.0528 0.06 607.599 7.0599 0.006 0.46 47.6053 6.743 35 98.002 0.002 693.5727 7.0700 0.004 0.44 47.959 6.7824 40 88.8835 0.0053 342.025 7.050 0.0007 0.407 49.2376 6.9300 45 363.679 0.0027 2590.5648 7.232 0.0004 0.404 49.9963 7.088 50 700.2330 0.004 4994.523 7.327 0.0002 0.402 50.4375 7.074 55 348.2388 0.0007 9623.343 7.376 0.000 0.40 50.692 7.020 60 2595.987 0.0004 8535.333 7.40 0.000 0.40 50.8357 7.97 9 /28

5% 5%.500 0.8696.0000 0.8696.0000.500 0.0000 0.0000 2.3225 0.756 2.500.6257 0.465 0.65 0.756 0.465 3.5209 0.6575 3.4725 2.2832 0.2880 0.4380 2.072 0.907 4.7490 0.578 4.9934 2.8550 0.2003 0.3503 3.7864.3263 5 2.04 0.4972 6.7424 3.3522 0.483 0.2983 5.775.7228 6 2.33 0.4323 8.7537 3.7845 0.42 0.2642 7.9368 2.0972 7 2.6600 0.3759.0668 4.604 0.0904 0.2404 0.924 2.4498 8 3.0590 0.3269 3.7268 4.4873 0.0729 0.2229 2.4807 2.783 9 3.579 0.2843 6.7858 4.776 0.0596 0.2096 4.7548 3.0922 0 4.0456 0.2472 20.3037 5.088 0.0493 0.993 6.9795 3.3832 4.6524 0.249 24.3493 5.2337 0.04 0.9 9.289 3.6549 2 5.3503 0.869 29.007 5.4206 0.0345 0.845 2.849 3.9082 3 6.528 0.625 34.359 5.583 0.029 0.79 23.352 4.438 4 7.0757 0.43 40.5047 5.7245 0.0247 0.747 24.9725 4.3624 5 8.37 0.229 47.5804 5.8474 0.020 0.70 26.6930 4.5650 6 9.3576 0.069 55.775 5.9542 0.079 0.679 28.2960 4.7522 7 0.763 0.0929 65.075 6.0472 0.054 0.654 29.7828 4.925 8 2.3755 0.0808 75.8364 6.280 0.032 0.632 3.565 5.0843 9 4.238 0.0703 88.28 6.982 0.03 0.63 32.423 5.2307 20 6.3665 0.06 02.4436 6.2593 0.0098 0.598 33.5822 5.365 2 8.825 0.053 8.80 6.325 0.0084 0.584 34.6448 5.4883 22 2.6447 0.0462 37.636 6.3587 0.0073 0.573 35.650 5.600 23 24.895 0.0402 59.2764 6.3988 0.0063 0.563 36.4988 5.7040 24 28.6252 0.0349 84.678 6.4338 0.0054 0.554 37.3023 5.7979 25 32.990 0.0304 22.7930 6.464 0.0047 0.547 38.034 5.8834 26 37.8568 0.0264 245.720 6.4906 0.004 0.54 38.698 5.962 27 43.5353 0.0230 283.5688 6.535 0.0035 0.535 39.2890 6.039 28 50.0656 0.0200 327.04 6.5335 0.003 0.53 39.8283 6.0960 29 57.5755 0.074 377.697 6.5509 0.0027 0.527 40.346 6.54 30 66.28 0.05 434.745 6.5660 0.0023 0.523 40.7526 6.2066 3 76.435 0.03 500.9569 6.579 0.0020 0.520 4.466 6.254 32 87.565 0.04 577.005 6.5905 0.007 0.57 4.5006 6.2970 33 00.6998 0.0099 664.6655 6.6005 0.005 0.55 4.884 6.3357 34 5.8048 0.0086 765.3654 6.609 0.003 0.53 42.033 6.3705 35 33.755 0.0075 88.702 6.666 0.00 0.5 42.3586 6.409 40 267.8635 0.0037 779.0903 6.648 0.0006 0.506 43.2830 6.568 45 538.7693 0.009 3585.285 6.6543 0.0003 0.503 43.805 6.5830 50 083.6574 0.0009 727.763 6.6605 0.000 0.50 44.0958 6.6205 55 279.6222 0.0005 4524.479 6.6636 0.000 0.50 44.2558 6.644 60 4383.9987 0.0002 2929.996 6.665 0.0000 0.500 44.343 6.6530 20 /28

6% 6%.600 0.862.0000 0.862.0000.600 0.0000 0.0000 2.3456 0.7432 2.600.6052 0.4630 0.6230 0.7432 0.4630 3.5609 0.6407 3.5056 2.2459 0.2853 0.4453 2.0245 0.904 4.806 0.5523 5.0665 2.7982 0.974 0.3574 3.684.356 5 2.003 0.476 6.877 3.2743 0.454 0.3054 5.5858.7060 6 2.4364 0.404 8.9775 3.6847 0.4 0.274 7.6380 2.0729 7 2.8262 0.3538.439 4.0386 0.0876 0.2476 9.760 2.469 8 3.2784 0.3050 4.240 4.3436 0.0702 0.2302.8962 2.7388 9 3.8030 0.2630 7.585 4.6065 0.057 0.27 3.9998 3.039 0 4.44 0.2267 2.325 4.8332 0.0469 0.2069 6.0399 3.387 5.73 0.954 25.7329 5.0286 0.0389 0.989 7.994 3.5783 2 5.9360 0.685 30.8502 5.97 0.0324 0.924 9.8472 3.889 3 6.8858 0.452 36.7862 5.3423 0.0272 0.872 2.5899 4.043 4 7.9875 0.252 43.6720 5.4675 0.0229 0.829 23.275 4.2464 5 9.2655 0.079 5.6595 5.5755 0.094 0.794 24.7284 4.4352 6 0.7480 0.0930 60.9250 5.6685 0.064 0.764 26.24 4.6086 7 2.4677 0.0802 7.6730 5.7487 0.040 0.740 27.4074 4.7676 8 4.4625 0.069 84.407 5.878 0.09 0.79 28.5828 4.930 9 6.7765 0.0596 98.6032 5.8775 0.00 0.70 29.6557 5.0457 20 9.4608 0.054 5.3797 5.9288 0.0087 0.687 30.632 5.666 2 22.5745 0.0443 34.8405 5.973 0.0074 0.674 3.580 5.2766 22 26.864 0.0382 57.450 6.03 0.0064 0.664 32.3200 5.3765 23 30.3762 0.0329 83.604 6.0442 0.0054 0.654 33.0442 5.467 24 35.2364 0.0284 23.9776 6.0726 0.0047 0.647 33.6970 5.5490 25 40.8742 0.0245 249.240 6.097 0.0040 0.640 34.284 5.6230 26 47.44 0.02 290.0883 6.82 0.0034 0.634 34.84 5.6898 27 55.0004 0.082 337.5024 6.364 0.0030 0.630 35.284 5.7500 28 63.8004 0.057 392.5028 6.520 0.0025 0.625 35.7073 5.804 29 74.0085 0.035 456.3032 6.656 0.0022 0.622 36.0856 5.8528 30 85.8499 0.06 530.37 6.772 0.009 0.69 36.4234 5.8964 3 99.5859 0.000 66.66 6.872 0.006 0.66 36.7247 5.9356 32 5.596 0.0087 75.7475 6.959 0.004 0.64 36.9930 5.9706 33 34.0027 0.0075 83.267 6.2034 0.002 0.62 37.238 6.009 34 55.4432 0.0064 965.2698 6.2098 0.000 0.60 37.444 6.0299 35 80.34 0.0055 20.730 6.253 0.0009 0.609 37.6327 6.0548 40 378.722 0.0026 2360.7572 6.2335 0.0004 0.604 38.2992 6.44 45 795.4438 0.003 4965.2739 6.242 0.0002 0.602 38.6598 6.934 50 670.7038 0.0006 0435.6488 6.2463 0.000 0.60 38.852 6.220 55 3509.0488 0.0003 2925.3050 6.2482 0.0000 0.600 38.9534 6.2343 60 7370.204 0.000 46057.5085 6.2492 0.0000 0.600 39.0063 6.249 2 /28

8% 8%.800 0.8475.0000 0.8475.0000.800 0.0000 0.0000 2.3924 0.782 2.800.5656 0.4587 0.6387 0.782 0.4587 3.6430 0.6086 3.5724 2.743 0.2799 0.4599.9354 0.8902 4.9388 0.558 5.254 2.690 0.97 0.377 3.4828.2947 5 2.2878 0.437 7.542 3.272 0.398 0.398 5.232.6728 6 2.6996 0.3704 9.4420 3.4976 0.059 0.2859 7.0834 2.0252 7 3.855 0.339 2.45 3.85 0.0824 0.2624 8.9670 2.3526 8 3.7589 0.2660 5.3270 4.0776 0.0652 0.2452 0.8292 2.6558 9 4.4355 0.2255 9.0859 4.3030 0.0524 0.2324 2.6329 2.9358 0 5.2338 0.9 23.523 4.494 0.0425 0.2225 4.3525 3.936 6.759 0.69 28.755 4.6560 0.0348 0.248 5.976 3.4303 2 7.2876 0.372 34.93 4.7932 0.0286 0.2086 7.48 3.6470 3 8.5994 0.63 42.287 4.9095 0.0237 0.2037 8.8765 3.8449 4 0.472 0.0985 50.880 5.008 0.097 0.997 20.576 4.0250 5.9737 0.0835 60.9653 5.096 0.064 0.964 2.3269 4.887 6 4.290 0.0708 72.9390 5.624 0.037 0.937 22.3885 4.3369 7 6.6722 0.0600 87.0680 5.2223 0.05 0.95 23.3482 4.4708 8 9.6733 0.0508 03.7403 5.2732 0.0096 0.896 24.223 4.596 9 23.244 0.043 23.435 5.362 0.008 0.88 24.9877 4.7003 20 27.3930 0.0365 46.6280 5.3527 0.0068 0.868 25.683 4.7978 2 32.3238 0.0309 74.020 5.3837 0.0057 0.857 26.3000 4.885 22 38.42 0.0262 206.3448 5.4099 0.0048 0.848 26.8506 4.9632 23 45.0076 0.0222 244.4868 5.432 0.004 0.84 27.3394 5.0329 24 53.090 0.088 289.4945 5.4509 0.0035 0.835 27.7725 5.0950 25 62.6686 0.060 342.6035 5.4669 0.0029 0.829 28.555 5.502 26 73.9490 0.035 405.272 5.4804 0.0025 0.825 28.4935 5.99 27 87.2598 0.05 479.22 5.499 0.002 0.82 28.795 5.2425 28 02.9666 0.0097 566.4809 5.506 0.008 0.88 29.0537 5.280 29 2.5005 0.0082 669.4475 5.5098 0.005 0.85 29.2842 5.349 30 43.3706 0.0070 790.9480 5.568 0.003 0.83 29.4864 5.3448 3 69.774 0.0059 934.386 5.5227 0.00 0.8 29.6638 5.372 32 99.6293 0.0050 03.4960 5.5277 0.0009 0.809 29.89 5.3945 33 235.5625 0.0042 303.253 5.5320 0.0008 0.808 29.9549 5.449 34 277.9638 0.0036 538.6878 5.5356 0.0006 0.806 30.0736 5.4328 35 327.9973 0.0030 86.656 5.5386 0.0006 0.806 30.773 5.4485 40 750.3783 0.003 463.230 5.5482 0.0002 0.802 30.5269 5.5022 45 76.6839 0.0006 953.577 5.5523 0.000 0.80 30.7006 5.5293 50 3927.3569 0.0003 283.0937 5.554 0.0000 0.800 30.7856 5.5428 55 8984.84 0.000 4990.2284 5.5549 0.0000 0.800 30.8268 5.5494 60 20555.400 0.0000 489.6665 5.5553 0.0000 0.800 30.8465 5.5526 22 /28

20% 20%.2000 0.8333.0000 0.8333.0000.2000 0.0000 0.0000 2.4400 0.6944 2.2000.5278 0.4545 0.6545 0.6944 0.4545 3.7280 0.5787 3.6400 2.065 0.2747 0.4747.859 0.879 4 2.0736 0.4823 5.3680 2.5887 0.863 0.3863 3.2986.2742 5 2.4883 0.409 7.446 2.9906 0.344 0.3344 4.906.6405 6 2.9860 0.3349 9.9299 3.3255 0.007 0.3007 6.5806.9788 7 3.5832 0.279 2.959 3.6046 0.0774 0.2774 8.255 2.2902 8 4.2998 0.2326 6.499 3.8372 0.0606 0.2606 9.883 2.5756 9 5.598 0.938 20.7989 4.030 0.048 0.248.4335 2.8364 0 6.97 0.65 25.9587 4.925 0.0385 0.2385 2.887 3.0739 7.430 0.346 32.504 4.327 0.03 0.23 4.2330 3.2893 2 8.96 0.22 39.5805 4.4392 0.0253 0.2253 5.4667 3.484 3 0.6993 0.0935 48.4966 4.5327 0.0206 0.2206 6.5883 3.6597 4 2.8392 0.0779 59.959 4.606 0.069 0.269 7.6008 3.875 5 5.4070 0.0649 72.035 4.6755 0.039 0.239 8.5095 3.9588 6 8.4884 0.054 87.442 4.7296 0.04 0.24 9.3208 4.085 7 22.86 0.045 05.9306 4.7746 0.0094 0.2094 20.049 4.976 8 26.6233 0.0376 28.67 4.822 0.0078 0.2078 20.6805 4.2975 9 3.9480 0.033 54.7400 4.8435 0.0065 0.2065 2.2439 4.386 20 38.3376 0.026 86.6880 4.8696 0.0054 0.2054 2.7395 4.4643 2 46.005 0.027 225.0256 4.893 0.0044 0.2044 22.742 4.5334 22 55.206 0.08 27.0307 4.9094 0.0037 0.2037 22.5546 4.594 23 66.2474 0.05 326.2369 4.9245 0.003 0.203 22.8867 4.6475 24 79.4968 0.026 392.4842 4.937 0.0025 0.2025 23.760 4.6943 25 95.3962 0.005 47.98 4.9476 0.002 0.202 23.4276 4.7352 26 4.4755 0.0087 567.3773 4.9563 0.008 0.208 23.6460 4.7709 27 37.3706 0.0073 68.8528 4.9636 0.005 0.205 23.8353 4.8020 28 64.8447 0.006 89.2233 4.9697 0.002 0.202 23.999 4.829 29 97.836 0.005 984.0680 4.9747 0.000 0.200 24.406 4.8527 30 237.3763 0.0042 8.886 4.9789 0.0008 0.2008 24.2628 4.873 3 284.856 0.0035 49.2579 4.9824 0.0007 0.2007 24.368 4.8908 32 34.829 0.0029 704.095 4.9854 0.0006 0.2006 24.4588 4.906 33 40.863 0.0024 2045.934 4.9878 0.0005 0.2005 24.5368 4.994 34 492.2235 0.0020 2456.76 4.9898 0.0004 0.2004 24.6038 4.9308 35 590.6682 0.007 2948.34 4.995 0.0003 0.2003 24.664 4.9406 40 469.776 0.0007 7343.8578 4.9966 0.000 0.200 24.8469 4.9728 45 3657.2620 0.0003 828.3099 4.9986 0.000 0.200 24.936 4.9877 50 900.4382 0.000 45497.908 4.9995 0.0000 0.2000 24.9698 4.9945 55 22644.8023 0.0000 329.03 4.9998 0.0000 0.2000 24.9868 4.9976 60 56347.544 0.0000 28732.578 4.9999 0.0000 0.2000 24.9942 4.9989 23 /28

22% 22%.2200 0.897.0000 0.897.0000.2200 0.0000 0.0000 2.4884 0.679 2.2200.495 0.4505 0.6705 0.679 0.4505 3.858 0.5507 3.7084 2.0422 0.2697 0.4897.7733 0.8683 4 2.253 0.454 5.5242 2.4936 0.80 0.400 3.275.2542 5 2.7027 0.3700 7.7396 2.8636 0.292 0.3492 4.6075.6090 6 3.2973 0.3033 0.4423 3.669 0.0958 0.358 6.239.9337 7 4.0227 0.2486 3.7396 3.455 0.0728 0.2928 7.654 2.2297 8 4.9077 0.2038 7.7623 3.693 0.0563 0.2763 9.047 2.4982 9 5.9874 0.670 22.6700 3.7863 0.044 0.264 0.3779 2.7409 0 7.3046 0.369 28.6574 3.9232 0.0349 0.2549.600 2.9593 8.97 0.22 35.9620 4.0354 0.0278 0.2478 2.732 3.55 2 0.8722 0.0920 44.8737 4.274 0.0223 0.2423 3.7438 3.3299 3 3.264 0.0754 55.7459 4.2028 0.079 0.2379 4.6485 3.4855 4 6.822 0.068 69.000 4.2646 0.045 0.2345 5.459 3.6233 5 9.7423 0.0507 85.922 4.352 0.07 0.237 6.60 3.745 6 24.0856 0.045 04.9345 4.3567 0.0095 0.2295 6.7838 3.8524 7 29.3844 0.0340 29.020 4.3908 0.0078 0.2278 7.3283 3.9465 8 35.8490 0.0279 58.4045 4.487 0.0063 0.2263 7.8025 4.0289 9 43.7358 0.0229 94.2535 4.445 0.005 0.225 8.24 4.009 20 53.3576 0.087 237.9893 4.4603 0.0042 0.2242 8.5702 4.635 2 65.0963 0.054 29.3469 4.4756 0.0034 0.2234 8.8774 4.278 22 79.475 0.026 356.4432 4.4882 0.0028 0.2228 9.48 4.2649 23 96.8894 0.003 435.8607 4.4985 0.0023 0.2223 9.3689 4.3056 24 8.2050 0.0085 532.750 4.5070 0.009 0.229 9.5635 4.3407 25 44.20 0.0069 650.955 4.539 0.005 0.225 9.7299 4.3709 26 75.9364 0.0057 795.653 4.596 0.003 0.223 9.8720 4.3968 27 24.6424 0.0047 97.06 4.5243 0.000 0.220 9.993 4.49 28 26.8637 0.0038 85.7440 4.528 0.0008 0.2208 20.0962 4.438 29 39.4737 0.003 447.6077 4.532 0.0007 0.2207 20.839 4.4544 30 389.7579 0.0026 767.083 4.5338 0.0006 0.2206 20.2583 4.4683 24 /28

25% 25%.2500 0.8000.0000 0.8000.0000.2500 0.0000 0.0000 2.5625 0.6400 2.2500.4400 0.4444 0.6944 0.6400 0.4444 3.953 0.520 3.825.9520 0.2623 0.523.6640 0.8525 4 2.444 0.4096 5.7656 2.366 0.734 0.4234 2.8928.2249 5 3.058 0.3277 8.2070 2.6893 0.28 0.378 4.2035.563 6 3.847 0.262.2588 2.954 0.0888 0.3388 5.542.8683 7 4.7684 0.2097 5.0735 3.6 0.0663 0.363 6.7725 2.424 8 5.9605 0.678 9.849 3.3289 0.0504 0.3004 7.9469 2.3872 9 7.4506 0.342 25.8023 3.463 0.0388 0.2888 9.0207 2.6048 0 9.332 0.074 33.2529 3.5705 0.030 0.280 9.9870 2.797.645 0.0859 42.566 3.6564 0.0235 0.2735 0.8460 2.9663 2 4.559 0.0687 54.2077 3.725 0.084 0.2684.6020 3.45 3 8.899 0.0550 68.7596 3.780 0.045 0.2645 2.267 3.2437 4 22.7374 0.0440 86.9495 3.824 0.05 0.265 2.8334 3.3559 5 28.427 0.0352 09.6868 3.8593 0.009 0.259 3.3260 3.4530 6 35.527 0.028 38.085 3.8874 0.0072 0.2572 3.7482 3.5366 7 44.4089 0.0225 73.6357 3.9099 0.0058 0.2558 4.085 3.6084 8 55.52 0.080 28.0446 3.9279 0.0046 0.2546 4.447 3.6698 9 69.3889 0.044 273.5558 3.9424 0.0037 0.2537 4.674 3.7222 20 86.7362 0.05 342.9447 3.9539 0.0029 0.2529 4.8932 3.7667 2 08.4202 0.0092 429.6809 3.963 0.0023 0.2523 5.0777 3.8045 22 35.5253 0.0074 538.0 3.9705 0.009 0.259 5.2326 3.8365 23 69.4066 0.0059 673.6264 3.9764 0.005 0.255 5.3625 3.8634 24 2.7582 0.0047 843.0329 3.98 0.002 0.252 5.47 3.886 25 264.6978 0.0038 054.792 3.9849 0.0009 0.2509 5.568 3.9052 26 330.8722 0.0030 39.4890 3.9879 0.0008 0.2508 5.6373 3.922 27 43.5903 0.0024 650.362 3.9903 0.0006 0.2506 5.7002 3.9346 28 56.9879 0.009 2063.955 3.9923 0.0005 0.2505 5.7524 3.9457 29 646.2349 0.005 2580.9394 3.9938 0.0004 0.2504 5.7957 3.955 30 807.7936 0.002 3227.743 3.9950 0.0003 0.2503 5.836 3.9628 25 /28

30% 30%.3000 0.7692.0000 0.7692.0000.3000 0.0000 0.0000 2.6900 0.597 2.3000.3609 0.4348 0.7348 0.597 0.4348 3 2.970 0.4552 3.9900.86 0.2506 0.5506.5020 0.827 4 2.856 0.350 6.870 2.662 0.66 0.466 2.5524.783 5 3.729 0.2693 9.043 2.4356 0.06 0.406 3.6297.4903 6 4.8268 0.2072 2.7560 2.6427 0.0784 0.3784 4.6656.7654 7 6.2749 0.594 7.5828 2.802 0.0569 0.3569 5.628 2.0063 8 8.573 0.226 23.8577 2.9247 0.049 0.349 6.4800 2.256 9 0.6045 0.0943 32.050 3.090 0.032 0.332 7.2343 2.3963 0 3.7858 0.0725 42.695 3.095 0.0235 0.3235 7.8872 2.552 7.926 0.0558 56.4053 3.473 0.077 0.377 8.4452 2.6833 2 23.298 0.0429 74.3270 3.903 0.035 0.335 8.973 2.7952 3 30.2875 0.0330 97.6250 3.2233 0.002 0.302 9.335 2.8895 4 39.3738 0.0254 27.925 3.2487 0.0078 0.3078 9.6437 2.9685 5 5.859 0.095 67.2863 3.2682 0.0060 0.3060 9.972 3.0344 6 66.547 0.050 28.4722 3.2832 0.0046 0.3046 0.426 3.0892 7 86.5042 0.06 285.039 3.2948 0.0035 0.3035 0.3276 3.345 8 2.4554 0.0089 37.580 3.3037 0.0027 0.3027 0.4788 3.78 9 46.920 0.0068 483.9734 3.305 0.002 0.302 0.609 3.2025 20 90.0496 0.0053 630.655 3.358 0.006 0.306 0.709 3.2275 2 247.0645 0.0040 820.25 3.398 0.002 0.302 0.7828 3.2480 22 32.839 0.003 067.2796 3.3230 0.0009 0.3009 0.8482 3.2646 23 47.539 0.0024 388.4635 3.3254 0.0007 0.3007 0.9009 3.278 24 542.8008 0.008 806.0026 3.3272 0.0006 0.3006 0.9433 3.2890 25 705.640 0.004 2348.8033 3.3286 0.0004 0.3004 0.9773 3.2979 26 97.3333 0.00 3054.4443 3.3297 0.0003 0.3003.0045 3.3050 27 92.5333 0.0008 397.7776 3.3305 0.0003 0.3003.0263 3.307 28 550.2933 0.0006 564.309 3.332 0.0002 0.3002.0437 3.353 29 205.383 0.0005 674.6042 3.337 0.000 0.300.0576 3.389 30 269.9956 0.0004 8729.9855 3.332 0.000 0.300.0687 3.329 26 /28

40% 40%.4000 0.743.0000 0.743.0000.4000 0.0000 0.0000 2.9600 0.502 2.4000.2245 0.467 0.867 0.502 0.467 3 2.7440 0.3644 4.3600.5889 0.2294 0.6294.239 0.7798 4 3.846 0.2603 7.040.8492 0.408 0.5408 2.0200.0923 5 5.3782 0.859 0.9456 2.0352 0.094 0.494 2.7637.3580 6 7.5295 0.328 6.3238 2.680 0.063 0.463 3.4278.58 7 0.544 0.0949 23.8534 2.2628 0.049 0.449 3.9970.7664 8 4.7579 0.0678 34.3947 2.3306 0.029 0.429 4.473.985 9 20.660 0.0484 49.526 2.3790 0.0203 0.4203 4.8585 2.0422 0 28.9255 0.0346 69.837 2.436 0.043 0.443 5.696 2.49 40.4957 0.0247 98.739 2.4383 0.00 0.40 5.466 2.225 2 56.6939 0.076 39.2348 2.4559 0.0072 0.4072 5.606 2.2845 3 79.375 0.026 95.9287 2.4685 0.005 0.405 5.768 2.334 4.20 0.0090 275.3002 2.4775 0.0036 0.4036 5.8788 2.3729 5 55.568 0.0064 386.4202 2.4839 0.0026 0.4026 5.9688 2.4030 6 27.7953 0.0046 54.9883 2.4885 0.008 0.408 6.0376 2.4262 7 304.935 0.0033 759.7837 2.498 0.003 0.403 6.090 2.444 8 426.8789 0.0023 064.697 2.494 0.0009 0.4009 6.299 2.4577 9 597.6304 0.007 49.5760 2.4958 0.0007 0.4007 6.60 2.4682 20 836.6826 0.002 2089.2064 2.4970 0.0005 0.4005 6.828 2.476 2 7.3556 0.0009 2925.8889 2.4979 0.0003 0.4003 6.998 2.482 22 639.8978 0.0006 4097.2445 2.4985 0.0002 0.4002 6.227 2.4866 23 2295.8569 0.0004 5737.423 2.4989 0.0002 0.4002 6.2222 2.4900 24 324.997 0.0003 8032.9993 2.4992 0.000 0.400 6.2294 2.4925 25 4499.8796 0.0002 247.990 2.4994 0.000 0.400 6.2347 2.4944 26 6299.834 0.0002 5747.0785 2.4996 0.000 0.400 6.2387 2.4959 27 889.7640 0.000 22046.9099 2.4997 0.0000 0.4000 6.246 2.4969 28 2347.6696 0.000 30866.6739 2.4998 0.0000 0.4000 6.2438 2.4977 29 7286.7374 0.000 4324.3435 2.4999 0.0000 0.4000 6.2454 2.4983 30 2420.4324 0.0000 6050.0809 2.4999 0.0000 0.4000 6.2466 2.4988 27 /28

50% 50%.5000 0.6667.0000 0.6667.0000.5000 0.0000 0.0000 2 2.2500 0.4444 2.5000. 0.4000 0.9000 0.4444 0.4000 3 3.3750 0.2963 4.7500.4074 0.205 0.705.0370 0.7368 4 5.0625 0.975 8.250.6049 0.23 0.623.6296.054 5 7.5938 0.37 3.875.7366 0.0758 0.5758 2.564.247 6.3906 0.0878 20.783.8244 0.048 0.548 2.5953.4226 7 7.0859 0.0585 32.79.8829 0.03 0.53 2.9465.5648 8 25.6289 0.0390 49.2578.9220 0.0203 0.5203 3.296.6752 9 38.4434 0.0260 74.8867.9480 0.034 0.534 3.4277.7596 0 57.6650 0.073 3.330.9653 0.0088 0.5088 3.5838.8235 86.4976 0.06 70.995.9769 0.0058 0.5058 3.6994.873 2 29.7463 0.0077 257.4927.9846 0.0039 0.5039 3.7842.9068 3 94.695 0.005 387.2390.9897 0.0026 0.5026 3.8459.9329 4 29.9293 0.0034 58.8585.993 0.007 0.507 3.8904.959 5 437.8939 0.0023 873.7878.9954 0.00 0.50 3.9224.9657 6 656.8408 0.005 3.687.9970 0.0008 0.5008 3.9452.9756 7 985.263 0.000 968.5225.9980 0.0005 0.5005 3.964.9827 8 477.899 0.0007 2953.7838.9986 0.0003 0.5003 3.9729.9878 9 226.8378 0.0005 443.6756.999 0.0002 0.5002 3.98.994 20 3325.2567 0.0003 6648.535.9994 0.0002 0.5002 3.9868.9940 2 4987.885 0.0002 9973.7702.9996 0.000 0.500 3.9908.9958 22 748.8276 0.000 496.6553.9997 0.000 0.500 3.9936.997 23 222.745 0.000 22443.4829.9998 0.0000 0.5000 3.9955.9980 24 6834.22 0.000 33666.2244.9999 0.0000 0.5000 3.9969.9986 25 2525.683 0.0000 50500.3366.9999 0.0000 0.5000 3.9979.9990 26 37876.7524 0.0000 7575.5049.9999 0.0000 0.5000 3.9985.9993 27 5685.287 0.0000 3628.2573 2.0000 0.0000 0.5000 3.9990.9995 28 85222.6930 0.0000 70443.3860 2.0000 0.0000 0.5000 3.9993.9997 29 27834.0395 0.0000 255666.0790 2.0000 0.0000 0.5000 3.9995.9998 30 975.0592 0.0000 383500.85 2.0000 0.0000 0.5000 3.9997.9998 28 /28