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Question: What happens to the present value of

What happens to the present value of an annuity as the interest rate increases? What happens to the future value of an annuity as the interest rate increases? Table III: Continue to next pages……
What happens to the present value of an annuity as the interest rate increases? What happens to the future value of an annuity as the interest rate increases?

Table III:



















Continue to next pages……





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TABLE II Future Value of an Annuity Interest Factor (FVIFA) ($1 per period at i% per period for n periods); (1+ i" FVIFA = FVAN, = PMT (FVIFA;) Period, n 1% 1.000 2.010 3.030 4.060 5.101 6.152 7.214 8.286 2% 3% 4% 1.000 5% 6% 7% 1.000 8% 1.000 9% 10% 11% 1.000 2.110 3.342 4.710 6.228 7.913 9.783 11.859 14.164 12% 13% 1.000 2130 3.407 1 1.000 1.000 2.020 2.030 3.060 3.091 4.122 4.184 5.204 5.309 6.308 6.468 1.000 2.050 3.152 4.310 5.526 6.802 1.000 2.060 2.040 3.122 4.246 5.416 6.633 7.898 3.184 4.375 5.637 6.975 8.394 2.070 3.215 4.440 5.751 7.153 8.654 2.080 3.246 4.506 5.867 7.336 8.923 1.000 2.090 3.278 4.573 5.985 7.523 9.200 1.000 2.100 3.310 4.641 6.105 7.716 9.487 11.436 13.579 1.000 2.120 3.374 4.779 6.353 8.115 10.089 4.850 6.480 8.323 10.405 12.757 5 8. 9 10 11 12 13 14 15 7.434 7.662 8.583 8.892 9.755 10.159 10.462 10.950 11.464 11.567 12.169 12.808 12.683 13.412 14.192 13.809 14.680 15.618 14.947 15.974 17.086 8.142 9.214 9.549 10.583 11.027 11.491 12.006 12.578 13.181 13.486 14.207 14.972 15.026 15.917 16.870 16.627 17.713 18.882 20.141 18.292 19.599 21.051 9.897 10.260 11.978 10.637 12.488 14.487 16.645 18.977 21.495 24.215 27.152 11.028 13.021 15.193 17.560 20.141 22.953 26.019 29.361 33.003 12300 14.776 17549 20.655 24.133 28.029 32.393 37.280 42.753 48.884 55.750 63.440 72.052 118.155 133.334 241.333 581.826 767.091 1,013.70 9.369 15.416 18.420 21.814 25.650 29.985 34.883 40.417 46.672 53.739 61.725 70.749 80.947 136.831 155.620 293.199 13.816 15.784 17.888 15.937 18.531 21.384 24.523 27.975 31.772 16.722 19.561 22.713 26.212 30.095 34.405 39.190 44.501 50.396 56.939 64.203 102.174 114.413 199.021 22.550 16.097 17.293 18.599 20.024 21.579 23.276 25.129 16 17 18 19 20 24 25 30 40 17.258 18.639 20.157 21.825 23.657 25.673 27.888 18.430 20.012 21.762 23.698 25.840 28.213 30.840 19.615 21.412 23.414 20.811 22.841 25.117 22.019 24.297 26.870 26.973 30.422 34.426 28.243 32.030 36.459 34.785 40.568 47.575 56.085 66.439 79.058 94.461 48.886 60.402 75.401 30.324 33.750 35.950 40.545 37.450 41.446 45.762 66.765 73.106 113.283 95.026 120.080 154.762 199.635 259.057 25.645 28.132 30.906 33.999 27.671 30.539 33.760 37.379 29.778 33.066 36.786 40.995 39.083 44.502 50.816 58.117 41.646 47.727 54.865 63.249 36.974 41.301 46.018 51.160 76.790 84.701 136.308 164.494 337.882 442.593 45.599 51.159 57.275 88.497 98.347 50 60 64.463 84.572 112.797 152.667 209.348 290.336 406.529 573.770 815.084 1,163.91 1,668.77 2,400.02 81.670 114.052 163.053 237.991 353.584 533.128 813.520 1,253.21 3,459.51 1,944.79 3,034.82 4,755.07 7,471.64 11,761.9 Period, n 14% 15% 16% 17% 18% 19% 20% 24% 28% 32% 36% 1.000 40% 1.000 2.140 3.440 4.921 6.610 8.536 10.730 13.233 16.085 1.000 1.000 1 2 3 4 1.000 2.150 3.473 4.993 6.742 8.754 11.067 13.727 16.786 20.304 24.349 29.002 34.352 40.505 1.000 2.160 1.000 2.170 3.539 5.141 7.014 9.207 11.772 14.773 18.285 22.393 27.200 32.824 1.000 2.190 3.606 5.291 7.297 9.683 12.523 15.902 19.923 24.709 1.000 2.200 3.640 5368 7.442 9.930 12.916 16.499 20.799 25.959 32.150 39.580 48.497 59.196 72.035 87.442 105.931 128.117 154.740 186.688 392.484 471.981 1.000 2.240 3.778 5.684 8.048 10.980 14.615 19.123 24.712 1.000 2280 3.918 6.016 8.700 12.136 16.534 22.163 29.369 38.592 50.399 65.510 84.853 112.303 109.612 149.240 141.303 197.997 181.868 262.356 233.791 347.310 300.252 459.449 385.323 607.472 494.213 802.863 1,298.82 2,089.21 3.506 5.066 6.877 8.977 11.414 14.240 17.518 2.180 3.572 5.215 7.154 9.442 12.142 15.327 19.086 1.000 2.320 4.062 6.362 9.398 13.406 18.696 25.678 34.895 2360 4.210 6.725 10.146 14.799 21.126 29.732 41.435 57.352 78.998 2.400 4.360 7.104 10.846 16.324 23.853 34.395 49.153 6. 7 8. 10 11 12 13 14 15 16 17 18 19.337 23.044 27.271 32.089 37.581 21.321 25.733 30.850 36.786 43.672 23.521 28.755 34.931 42.219 50.818 60.965 72.939 87.068 93.406 103.740 31.643 40.238 50.985 64.110 80.496 100.815 126.011 157.253 195.994 244.033 47.062 63.122 84.320 69.814 98.739 30.404 37.180 45.244 54.841 66.261 79.850 96.022 115.266 108.437 139.235 39.404 47.103 56.110 66.649 78.979 195.929 202.926 275.300 276.979 148.475 43.842 50.980 59.118 68.394 47.580 55.717 65.075 75.836 88.212 51.660 60.925 71.673 84.141 98.603 386.420 377.692 541.988 514.661 759.784 700.939 1,064.70 954.277 1,491.58 110.285 19 20 24 78.969 91.025 102.444 115.380 184.168 213.978 212.793 249.214 123.414 130.033 146.628 248.808 289.494 292.105 342.603 647.439 790.948 138.166 165.418 337.010 402.042 303.601 723.461 1,322.66 2,443.82 898.092 1,706.80 3,226.84 158.659 4,450.00 8,033.00 6,053.00 11,247.2 25 181.871 30 356.787 40 1,342.03 1,779.09 2,360.76 3,134.52 4,163.21 5,529.83 7,343.86 2,728.8 50 4,994.52 7,217.72 10,435.6 15,089.5 21,813.1 31,515.3 45,497.2 195,373 60 18,535.1 29,220.0 46,057.5 72,555.0 114,190 179,495 281,733 434.745 530.321 966.712 1,181.88 2,640.92 5,873.23 12,940.9 28,172.3 60,501.1 69,3775 207,874 819,103 609,890 *These interest factors exceed 1,000,000



> Why should each of the following be familiar with compounding and present value concepts? a. A marketing manager b. A personnel manager

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> Explain the relationship between financial management and (a) microeconomics and (b) macroeconomics.

> Many large corporations, such as General Motors, have written off large amounts of their nonperforming (or poorly performing) assets as they have shrunk their operations. What is the impact of these asset write-offs on the future return on assets, future

> Explain the differences in the responsibilities of the treasurer and the controller in a large corporation.

> What type of contract might require the use of annuity due computations?

> What is the source of potential agency conflicts between owners and bondholders? Who is the agent and who is the principal in this relationship?

> Give some examples of agency costs incurred by shareholders in the agency relationship between the shareholders (owners) and management of a firm.

> Explain what is meant by agency relationships and agency costs.

> Explain why management may tend to pursue goals other than shareholder wealth maximization.

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2.99

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