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1.  Barbara wants to buy a car when she graduates from Central University 4 years from now. She believes that she will need \$29,200 to buy the car.(a) Calculate how much money Barbara must put into her savings account today to have \$29,200 in 4 years, assuming she can earn 10% compounded annually. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,975.)(b) Calculate how much money Barbara must put into her savings account today to have \$29,200 in 4 years, assuming she can earn 10% compounded semiannually. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,975.)2.  George is planning for his retirement this year. One option that has been presented to him is the purchase of an annuity that would provide a \$47,000 payment each year for the next 17 years.(a) Calculate how much George should be willing to pay for the annuity if he can invest his funds at 6%. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,971.)
Barbara wants to buy a car when she graduates from Central University 4 years from now. She believes that she will need \$29,200 to buy the car. (a) Calculate how much money Barbara must put into he
Perifds 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 16% 18% 20% 10.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8621 0.8475 0.8333 20.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8116 0.7972 0.7831 0.7695 0.7432 0.7182 0.6944 30.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.7118 0.6931 0.6750 0.6407 0.6086 0.5787 40.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5523 0.5158 0.4823 50.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4761 0.4371 0.4019 60.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4104 0.3704 0.3349 70.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4817 0.4523 0.4251 0.3996 0.3538 0.3139 0.2791 80.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3050 0.2660 0.2326 90.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2630 0.2255 0.1938 10 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2267 0.1911 0.1615 11 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 0.2875 0.2607 0.2366 0.1954 0.1619 0.134612 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1685 0.1372 0.112213 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1452 0.1163 0.093514 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1252 0.0985 0.077915 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1079 0.0835 0.0649 16 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.0930 0.0708 0.054117 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.0802 0.0600 0.045118 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0691 0.0508 0.037619 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0596 0.0431 0.031320 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.0728 0.0514 0.0365 0.0261 PV n, b = \$1 _ (1 + i) n APPENDIX 9.1 Present value of \$1 received in n periods. APPENDIX 9.2 Present value of an annuity of \$1 per period. Perifds 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 16% 18% 20% 1 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8621 0.8475 0.8333 2 1.8861 1.8594 1.8334 1.8080 1.7833 1.7591 1.7355 1.7125 1.6901 1.6681 1.6467 1.6052 1.5656 1.5278 3 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4868 2.4437 2.4018 2.3612 2.3216 2.2459 2.1743 2.1065 4 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1698 3.1024 3.0373 2.9745 2.9137 2.7982 2.6901 2.5887 5 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7907 3.6959 3.6048 3.5172 3.4331 3.2743 3.1272 2.9906 6 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.6847 3.4976 3.3255 7 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.7122 4.5638 4.4226 4.2883 4.0386 3.8115 3.6046 8 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.3436 4.0776 3.8372 9 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.5370 5.3282 5.1317 4.9464 4.6065 4.3030 4.0310 10 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 4.8332 4.4941 4.1925 11 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.0286 4.6560 4.3271 12 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.1971 4.7932 4.4392 13 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.3423 4.9095 4.5327 14 10.5631 9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.4675 5.0081 4.6106 15 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.5755 5.0916 4.6755 16 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 7.3792 6.9740 6.6039 6.2651 5.6685 5.1624 4.7296 17 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 5.7487 5.2223 4.7746 18 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 5.8178 5.2732 4.8122 19 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.8393 7.3658 6.9380 6.5504 5.8775 5.3162 4.8435 20 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 5.9288 5.3527 4.8696 P VA n,b = \$1 − 1 _______ (1 + b) n ___________ b

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