Question 7 (1 point) You deposit $3000 into an account the day your daughter was born. At the end of each year you increase the payments by 9%. By her 18th birthday you have made 19 deposits and saved $X. What is X? The interest rate is 9% 268,000-270,000 270,000-272,000 272,000-274,000 274,000-276,000 276,000-278,000 Previous Page Nextpage Page 7 of 11 Submit aus O of 11 questione caver Interest rate Interest Factors for Discrete Compounding Compound Prevent Compound Amount Worth Amount qoymenleries Sinking Present Fund Worth Cap Recovery Gradient Uniform TELANDI 1.0000 OBS73 200000.4808 O 32454 03080 735 45031 2219 0.800 5 0.1705 Y ATINI 110800 0 5608 0.3880 3.3121 39927 02505 WOTEN 00000 0. 48 09487 0.85734 244100 455009 1885 05403 1.990005002 7.3359 0.1363 48229 8.9228 0.1121 52054 10.5366 0.0940 5.7465 12 4750 0801 6.2459 14.4866 0.08906.7101 0.1921 0.1740 0 1601 0.1490 26837 3.0085 3.4910 3.8713 10.52321 14 02422 17.80510 21.0809 25 97883 30 26568 34.63391 2.7103 2.9372 31722 0 3971 0.3877 0.3405 03152 16.5455 18.9771 21.4953 24 2149 27.1521 0.0601 0.0527 0.0465 0413 0.0368 7.1390 75361 7.9038 8.2442 8.5595 0.1401 0.1327 0.1265 0.1213 0.1168 4.5957 49402 5.2731 0 43.47228 15 3.4259 3.7000 39960 4 3157 4 68100 0.2919 0.2703 0.2502 0.2317 2145 3 0 3243 0.0330 33 7502 00298 374502 0 0267 41.4463 0.0241 45 702000219 8.3514 91216 0.3719 9.6038 9.8181 0.1130 5.9048 52 28402 0.1098 82037 0.1067 6.4920 60.84256 0.10416769765.01337 0.1019 7,0369 69 0979 19 73.06291 5.4365 5.8715 6.3412 6 145 0.1987 0.1839 0.1703 0.1577 1460 50.4229 55.4588 6 0 8933 66.7548 73.1059 0.0198 10.0168 0.0180 10. 2007 0.0164 10.3711 0.0150 10.5288 0.013710 6748 00098 0.0980 0.0964 0.0950 0937 7 2040 7.5412 77788 8 0066 82254 24 0.67259 84 29968 87 80411 0 27 8.6363 4.43901 7.3964 791 271 9.3173 10 0627 0.1352 0.1252 0.11 0.1073 00994 79.9544 8 73508 05 0 103.9559 113.2832 0.0125 10.8100 0.0925 0.01 14 10.9352 0.0914 105 1051100 0.0096 11.1584 0.0896 0.0088 11.2578 0.0888 29 9.0133 9.1897 100.57385 103 45579 30 10 8677 00920 123 459 11.7371 00852 134 2135 1267600 0789 145 9506 13 601 00730 58 6257 14 7653005781723168 0.0081 0.0075 0.0069 00050 00058 11 349800881 9.3584 11.4350 0.0875 9.5197 105 85747 11.5139 0.0869 9.6737 11.5889003639820311379262 11 5546 00858 9.9611116 09199 34 45 21 724500460 31.9204 00313 46.9016 0.0213 68.9139 0.0145 10125710099 259 DSS 386 5056 573 7702 48 922 12532133 0.0039 11.82460083910589 0.0025 12.1084 0.0826 11.0447 133 73300 0.0017 12 2335 0.0817 11.410713950279 0.2012 12 3168 0812 11.6902 144 00645 00091237 DROS 11.9015147 30001 148.7798 216 6064 321.2045 471 9548 693.4565 0 COST 00046 0.0031 00021 00014 1.847 248 2.720.000 4002 557 588935 8.655 706 0.0005 0.0004 0.0002 0.0002 0.0001 12.4160 0.0805 124428 0.0804 12.1763 12.4511 0.6802 12.858 12.4735 0.0802123301 12.48200 0801 123772 151 52 152 84485 153 80008 154.49250 0 00 5 100 1,018.0151 0.0010 1.497.1205 0.0007 2.199781300003 12.723 039 18.701.507 27484 518 00001 0.0001 0.0000 12.4877 0080112411615400254 12.4917 0.0801 1 24345 155 35244 12.49430 0800 12.4545 155 61073 95 Linear Interpolation Formula: For two points on (i,PW): (i),PW) -(w,x) and (i2,PW2) = (y,z), the formula for (i,0) is: (i*,0) = (i*=y-(y-w)*(0-2)/(x-z), 0) a - b Quadratic Formula: The solution to the quadratic equation ax? + bx+c = 0 is X=[-b +/- (b2-4ac)2)/2a The Chapter 4 formulas provided are: ix=r/M and ix=(1+r/M) -1 and ix=(1+r/M)M-1 for k=1; and c*k=M (it's your responsibility to know what i,r,M,c and k stand for!) TABLE 3.4 Summary of Discrete Compounding Formulas with Discrete Payments Factor Notation Flow Type Cash Flow Dinuram Formula Excel Command F = P(1+) - FV (1.N.O.P) Compound amount (F/P..) Present worth (P/E 1.) Compound amount (F/A, LN) P = F(1 + 0) 1 =PV(I.N.O.P) (1+- - FV[i, N.A) -PMT, N. 0,F) Sinking fund (A/FI, N) Present worth (P/A, i, N) P-1967 11. 1 2 3 N-IN Capital recovery (MP , N). Til + 1) Pla+ 0- --PMT(1, N.P) Linear gradient (1+1)- IN -- (N-1)G (1 + i) 2G Present worth (PAG.LM) 2 1 23 N-IN P Annual worth (VVG, 1, M) [(1 + 1 - iN - 11 [(1 + ) - 1] Geometric gradient 1- (1 + 8)*(1 +1) Present GM).-) (PIA. 8.1, N)
