How much would you have to invest today to receive: Use Appendix B or Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.

a.	$13,000 in 8 years at 12 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Present value

$

b.	$16,500 in 15 years at 9 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Present value

$

c.	$6,700 each year for 17 years at 15 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Present value

$

d.	$44,000 each year for 40 years at 9 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Present value

$

ntvalue of $1,Wi- PV=FVla 0.990 0.980 0.971 0.943 0.935 0.926 0.901 0.857 0.971 0.889 0.864 0.924 0.888 0.855 0.823 0.792 0.683 0.659 0.636 0.906 0.863 0.822 0.784 0.567 0.942 0.888 0.705 0.630 0.596 0.564 0.535 0513 0.452 0.434 0.404 0.837 0.766 0.703 0.645 0.592 0.500 0.460 0.361 0.558 0.508 0.463 0.386 0.352 0.896 0.804 0.429 0.388 0.319 0.286 0257 0.442 0.388 0.340 0.299 0.239 0.209 0.458 0.394 0.714 0.605 0.436 0.317 0.836 0.700 0.350 0.296 0.250 0.828 0.686 0.194 0.164 0.138 0.820 0.146 0.116 0.092 0.074 0.075 0.057 0.044 0.067 0011 0.141 0.087 0.054 0.034 0.009 0.005 0.003 Present value of $1 1996 20% 4096 5096 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.800 0.76 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.640 0.592 0.549 0.510 0.444 0.693 0.675 0.658 0.641 0.512 0.455 0.406 0.364 0.296 0.613 0.592 0.572 0.552 0.534 0.499 0.482 0.350 0.301 0.260 0.198 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.328 0.269 0.223 0.186 0.132 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.305 0.285 0.266 0.249 0.233 0.168 0.068 0.039 0.333 0.300 0.284 0.263 0.243 0.225 0.209 0.194 0.134 0.094 0.067 0.048 0.026 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.107 0.073 0.050 0.035 0.017 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.086 0.056 0.037 0.025 0.012 0.231 0.208 0.187 0.168 0.152 0.124 112 0.069 0.043 0.027 0.018 0.008 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.055 0.033 0.020 0.013 0.005 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.078 0.044 0.025 0.015 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.035 0.020 0.011 0.006 0.002 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.028 0.015 0.008 0.005 0.002 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.023 0.012 0.006 0.003 0.001 0.111 0.095 0.081 0.069 0.059 0.05 1 0.044 0.038 0.018 0.009 0.005 0.002 0.001 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.014 0.007 0.003 0.002 0.087 0.073 0.061 0.051 0.037 0.031 0.026 0.012 0.005 0.002 0.001 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.026 0.020 0.005 0.004 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.002 0.001 0.001 0.001 65 22