Assume you make the following investments: a. You invest a lump sum of $7,550 for four years at 12% interest. What is the investment's value at the end of four years? b. c. In a different account earning 12% interest, you invest $1,888 at the end of each year for four years. What is the investment's value at the end of four years? What general rule of thumb explains the difference in the investments' future values? (Click the icon to view the future value factor table.) (Click the icon to view the present value factor table.) (Click the icon to view the future value annuity factor table.) (Click the icon to view the present value annuity factor table.) a. You invest a lum dollar.) Investment's valu Reference Future Value of $1 6% Periods 1% 2% 3% 4% 5% 8% 10% 12% 14% 16% 18% 20% Period 1 1.010 1.020 1.030 1.040 1.050 1.060 1.080 1.100 1.120 1.140 1.160 1.180 1.200 Period 2 1.020 1.040 1.061 1.082 1.103 1.124 1.166 1.210 1.254 1.300 1.346 1.392 1.440 Period 3 1.030 1.061 1.093 1.125 1.158 1.191 1.260 1.331 1405 1.482 1.561 1.643 1.728 Period 41 1.041 1.082 1.126 1.170 1.216 1.262 1.360 1464 1.574 1.689 1.811 1.939 2.074 Period 5 1.051 1.104 1.159 1.217 1.276 1.338 1.469 1.611 1.762 1.925 2.100 2.288 Period 61 1.062 1.126 1.194 1.265 1.340 1.419 1.587 1.772 1.974 2.195 2.436 2.700 2.986 Period 7 1.072 1.149 1.230 1.316 1.407 1.504 1.714 1.949 2.211 2.502 2.826 3.185 3.583 Period 81 1.083 1.172 1.267 1.369 1.477 1.594 1.851 2.144 2.476 2.853 3.278 3.759 4.300 Period 91 1.094 1.195 1.305 1.423 1.551 1.689 1.999 2.358 2.773 3.252 3.803 4.435 Period 10 1.105 1.219 1.344 1.480 1.629 1.791 2.159 2.594 3.106 3.707 4.411 5.234 2.488 5.160 6.192 Period 11 1.116 Period 12 1.127 Period 13 1.138 Period 14 1.149 Period 15 1.161 1.243 1.384 1.539 1.710 1.898 2.332 2.853 3.479 1.268 1.426 1.601 1.796 2.012 2.518 3.138 3.896 4.818 5.936 7.288 1.294 1.469 1.665 1.886 2.133 2.720 3.452 4.363 5.492 6.886 8.599 1.319 1.513 1.732 1.980 2.261 2.937 3.797 4.887 6.261) 7.988 10.147 1.346 1.558 1.801 2.079 2.397 3.172 4.177 5.474 7.138 9.266 11.974 15.407 4.226 5.117 6.176 7.430 8.916 10.699 12.839 Period 20 1.220 1.486 1.806 2.191 2.653 3.207 4.661 6.727 9.646 13.743 19.461 27.393 38.338 Period 25 1282 1.641 2.094 2.666 3.386 4.292 6.848 10.835 17.000 26.462 40.874 62.669 95,396 Period 30 1.348 1.811 2.427 3.243 4.322 5.743 10.063 17.449 29.960 50.950 85.850 143.371 237.376 Period 40 1.489 2.208 3.262 4.801 7.040 10.286 21.725 45 259 93.051 188.884 378.721 750.378 1,469.772 - nearest whole