You are chairperson of the investment fund for the Continental Soccer League. You are asked to set up a fund of semiannual payments to be compounded semiannually to accumulate a sum of $330,000 after ten years at a 10 percent annual rate (20 payments). The first payment into the fund is to take place six months from today, and the last payment is to take place at the end of the tenth year. Use Appendix A and Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. Determine how much the semiannual payment should be. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Semi-annual payment $ 5,761.68 On the day after the sixth payment is made (the beginning of the fourth year), the interest rate goes up to an annual rate of 12 percent. This new rate applies to the funds that have been accumulated as well as all future payments into the fund. Interest is to be compounded semiannually on all funds. b. Determine how much the revised semiannual payments should be after this rate change (there are 14 payments and compounding dates). The next payment will be in the middle of the fourth year. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Revised semi-annual payment Appendix A Future value of $1, FVF FV = PV(1+/)" Percent Period 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 1 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.110 10 23 456 700 09 1.020 1.040 1.061 1.082 1.103 1.124 1.145 1.166 1.188 1.210 1.232 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.260 1.295 1.331 1.368 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.360 1.412 1.464 1.518 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.685 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.870 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.714 1.828 1.949 2.076 8 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.851 1.993 2.144 2.305 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.999 2.172 2.358 2.558 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 2.839 11 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 2.580 2.853 3.152 12 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 2.813 3.138 3.498 13 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 3.066 3.452 3.883 14 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.797 4.310 15 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 3.642 4.177 4.785 16 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4.595 5.311 17 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 5.895 18 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 4.717 5.560 6.544 19 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 5.142 6.116 7.263 20 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 5.604 6.727 8.062 25 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6.848 8.623 10.835 13.585 30 1.348 1.811 2.427 3.243 4.322 5.743 7.612 10.063 13.268 17.449 22.892 40 1.489 2.208 3.262 4.801 7.040 10.286 14.974 21.725 31.409 45.259 65.001 50 1.645 2.692 4.384 7.107 11.467 18.420 29.457 46.902 74.358 117.39 184.57 Appendix A (concluded) Future value of $1 Percent Period 12% 13% 14% 15% 16% 17% 18% 19% 20% 25% 30% 1 1.120 1.130 1.140 1.150 1.160 1.170 1.180 1.190 1.200 1.250 1.300 2 3 4 5 6 7 8 9 1.254 1.277 1.300 1.323 1.346 1.369 1.392 1.416 1.440 1.563 1.690 1.405 1.443 1.482 1.521 1.561 1.602 1.643 1.685 1.728 1.953 2.197 1.574 1.630 1.689 1.749 1.811 1.874 1.939 2.005 2.074 2.441 2.856 1.762 1.842 1.925 2.011 2.100 2.192 2.288 2.386 2.488 3.052 3.713 1.974 2.082 2.195 2.313 2.436 2.565 2.700 2.840 2.986 3.815 4.827 2.211 2.353 2.502 2.660 2.826 3.001 3.185 3.379 3.583 4.768 6.276 2.476 2.658 2.853 3.059 3.278 3.511 3.759 4.021 4.300 5.960 8.157 2.773 3.004 3.252 3.518 3.803 4.108 4.435 4.785 5.160 7.451 10.604 10 3.106 3.395 3.707 4.046 4.411 4.807 5.234 5.696 6.192 9.313 13.786 11 3.479 3.836 4.226 4.652 5.117 5.624 6.176 6.777 7.430 11.642 17.922 12 3.896 4.335 4.818 5.350 5.936 6.580 7.288 8.064 8.916 14.552 23.298 13 4.363 4.898 5.492 6.153 6.886 7.699 8.599 9.596 10.699 18.190 30.288 14 4.887 5.535 6.261 7.076 7.988 9.007 10.147 11.420 12.839 22.737 39.374 15 5.474 6.254 7.138 8.137 9.266 10.539 11.974 13.590 15.407 28.422 51.186 16 6.130 7.067 8.137 9.358 10.748 12.330 14.129 16.172 18.488 35.527 66.542 17 6.866 7.986 9.276 10.761 12.468 14.426 16.672 19.244 22.186 44.409 86.504 18 7.690 9.024 10.575 12.375 14.463 16.879 19.673 22.091 26.623 55.511 112.46 19 8.613 10.197 12.056 14.232 16.777 19.748 23.214 27.252 31.948 69.389 146.19 UWNN 20 9.646 11.523 13.743 16.367 19.461 23.106 27.393 32.429 38.338 86.736 190.05 25 17.000 21.231 26.462 32.919 40.874 50.658 62.669 77.388 95.396 264.70 705.64 30 29.960 39.116 50.950 66.212 85.850 111.07 143.37 184.68 237.38 807.79 2,620.0 40 93.051 50 289.00 132.78 188.88 450.74 267.86 378.72 533.87 750.38 1,051.7 1,469.8 7,523.2 36,119.0 700.23 1,083.7 1,670.7 2,566.2 3,927.4 5,988.9 9,100.4 70,065.0 497,929.0