please find the three amounts.

Laura wants to buy a car when she graduates from Central University 6 years from now. She believes that she will need $ 31,000 to buy the car. Click here to view the factor table. (a) Calculate how much money Laura must put into her savings account today to have $ 31,000 in 6 years, assuming she can earn 14% compounded annually. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to O decimal place, e.g. 58.975.) Amount (b) Calculate how much money Laura must put into her savings account today to have $ 31,000 in 6 years, assuming she can earn 14% compounded semiannually. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to O decimal place, c.8. 58,975.) Amount Present value of $1 received in n periods. Periods 4% 5% 6% 7% 8% 11% 12% 13% 1 2 0.9615 0.9246 0.8890 0.8548 0.8219 0.9524 0.9070 0.8638 0.8227 0.7835 0.9434 0.8900 0.8396 0.7921 0.7473 0.9346 0.8734 0.8163 0.7629 0.7130 0.9259 0.8573 0.7938 0.7350 0.6806 9% 0.9174 0.8417 0.7722 0.7084 0.6499 10% 0.9091 0.8264 0.7513 0.6830 0.6209 0.9009 0.8116 0.7312 0.6587 0.5935 0.8929 0.7972 0.7118 0.6355 0.5674 0.8850 0.7831 0.6931 0.6133 0.5428 14% 0.8772 0.7695 0.6750 0.5921 0.5194 16% 0.8621 0.7432 0.6407 0.5523 0.4761 18% 0.8475 0.7182 0.6086 0.5158 04371 20 0.8333 0.6944 0.5787 0.4823 0.4019 6 8 9 0.7903 0.7599 0.7307 0.7026 0.6756 0.7462 0.7107 0.6768 0.6446 0.6139 0.7050 0.6651 0.6274 0.5919 0.5584 0.6663 0.6227 0.5820 0.5439 0.5083 0.6302 0.5835 0.5403 0.5002 0.4632 0.5963 0.5470 0.5019 0.4604 0.4224 0.5645 0.5132 0.4665 04241 0.3855 0.5346 0.4817 0.4339 0.3909 0.3522 0.5066 0.4523 0.4039 0.3606 0.3220 0.4803 0.4251 0.3762 0.3329 0.2946 0.4556 0.3996 0.3506 0.3075 0.2697 0.4104 0.3538 0.3050 0.2630 0.2267 0.3704 0.3139 0.2660 0.2255 0.1911 0.3349 0.2791 0.2326 0.1938 0.1615 10 11 12 13 14 15 0.6496 0.6246 0.6006 0.5775 0.5553 0.5847 0.5568 0.5303 0.5051 0.4810 0.5268 0.4970 0.4688 0.4423 0.4173 0.4751 0.4440 0.4150 0,3878 0.3624 0.4289 0.3971 0.3677 0.3405 0.3152 0.3875 0:3555 0.3262 0.2992 0.2745 0.3505 0.3186 0.2897 0.2633 0.2394 0.3173 0.2858 0.2575 0.2320 0.2090 0.2875 0.2567 0.2292 0.2046 0.1827 0.2607 0.2307 0.2042 0.1807 0.1599 0.2366 0.2076 0.1821 0.1597 0.1401 0.1954 0.1685 0.1452 0.1252 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 0.5339 17 0.5134 18 0.4936 19 0.4746 20 0.4564 $1 PV = (1 + i)" 0.4581 0.4363 0.4155 0.3957 0.3769 0.3936 0.3714 0,3503 0.3305 0.3118 0.3387 0.3166 0.2959 0.2765 0.2584 0.2919 0.2703 0.2502 0.2317 0.2145 0.2519 0.2311 0.2120 0.1945 0.1784 0.2176 0.1978 0.1799 0.1635 0.1486 0.1883 0.1696 0.1528 0.1372 01240 0.1631 0.1456 0.1300 0.1161 0.1037 0.1415 0.1252 0.1108 0.0981 0.0868 0.1229 0.1078 0.0946 0.0829 0.0728 0,0930 0.0802 0.0691 0.0596 0.0514 0.0708 0.0600 0.0508 0,0431 0.0365 0.0541 0.0451 0.0376 0.0313 0.0261 APPENDIX 9.2 Present value of an annuity of $1 per period. Periods 4% 5% 6% 8% 11% 12% 16% 1 2 3 4 0.9615 1.8861 2.7751 3.6299 4.4518 0.9524 18594 2.7232 3.5460 4.3295 0.9434 1.8334 2.6730 3.4651 4.2124 7% 9% 10% 0.9346 0.9259 0.9174 0.9091 1.8080 1.7833 1.7591 1.7355 2.6243 2.5771 2.5313 2.4868 3.3872 3.3121 3.2397 3.1698 4.1002 3.9927 3.8897 3.7907 0.9009 1.7125 2.4437 3.1024 3.6959 0.8929 1.6901 2.4018 3.0373 3,6048 13% 0.8850 1.6681 2.3612 2.9745 3.5172 14% 0.8772 1.6467 2.3216 2.9137 3.4331 0.8621 1.6052 2.2459 2.7982 3.2743 18% 20% 0.8475 0.8333 1.5656 1.5278 2.1743 2.1065 2.6901 2.5887 3.1272 2.9906 7 8 9 10 5.2421 6.0021 6.7327 7.4353 8.1109 5.0757 5.7864 6.4632 7.1078 7.7217 4.9173 5.5824 6.2098 6.8017 7.3601 4.7665 4,6229 4.4859 4.3553 5.3893 5.2064 5.0330 4.8684 5.9713 5.7466 5.5348 5.3349 6.5152 6.2469 5.9952 5.7590 7.0236 6.7101 6.4177 6.1446 4.2305 4.7122 5.1461 5.5370 5.8892 4.1114 4.5638 4.9676 5.3282 5.6502 3.9975 44226 4.7988 5.1317 5.4262 3.8887 3.6847 4.2883 4.0386 4.6389 4.3436 4.9464 4.6065 5.2161 4,8332 3.4976 3.3255 3.8115 3,6046 4,0776 3.8372 4.3030 4.0310 4.4941 4.1925 11 12 13 14 15 8.7605 9.3851 9.9856 10.5631 11.1184 8.3064 8.8633 9.3936 9.8986 10.3797 7.8869 8.3838 8.8527 9.2950 9.7122 7.4987 7.13906.805264951 7.9427 7.5361 7.1607 6.8137 8,3577 7.9038 7.4869 7.1034 8.74558.2442 7.7862 7.3667 9.1079 8.5595 8.0607 7.6061 6.2065 64924 6.7499 6.9819 7.1909 5.9377 6.1944 6.4235 6.6282 6.8109 5.6869 5.9176 6.1218 6.3025 6.4624 5.4527 5.6603 5.8424 6.0021 6.1422 5.0286 5.1971 5.3423 5.4675 5.5755 4.6560 43271 4.7932 4.4392 4.9095 4.5327 5.0081 4.6106 5,0916 4.6755 16 11.6523 10.8378 10.1059 17 12.1657 11.2741 10.4773 18 12.6593 11.6896 10.8276 19 13.1339 12.0853 11.1581 20 13.5903 12.4622 11.4699 1 $1 (1+" VA= 9.4466 8.8514 8.3126 9.7632 9.1216 8,5436 10.0591 9.3719 8.7556 10.3356 9.6036 8.9501 10.5940 9.8181 9.1285 7.8237 8,0216 8.2014 8.3649 8.5136 7.3792 7.5488 7.7016 7.8393 7.9633 6.9740 7.1196 7.2497 7.3658 74694 6.6039 6.7291 6.8399 6.9380 7.0248 6.2651 6,3729 6.4674 6.5504 6.6231 5.6685 5.7487 5.8178 5.8775 5.9288 5.1624 5.2223 5.2732 5.3162 5.3527 4.7296 4.7746 4.8122 4.8435 4.8696 be Edward 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 $ 42,000 payment each year for the next 10 years. Click here to view the factor table. Calculate how much Edward should be willing to pay for the annuity if he can invest his funds at 10%. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.3.58,971.) Payment