Problem 7-09 Inflation is a general increase in prices and may be measured by the Consumer Price Index (CPI). Use Appendix A to answer the questions. a. In Year 1 the CPI was 100; 30 years later, it was 227. What was the annual rate of inflation? Round your answer to the nearest whole number. % b. Nancy and Pam both currently earn $90,000. If the annual rate of inflation is 4 percent, how much must each earn after nine years to maintain their purchasing power? Round your answer to the nearest dollar. c. Your parents bought a home for $60,000 in Year 1 and sold it in Year 21 for $240,000. What was the annual rate of price increase over the 20 years? Round your answer to the nearest whole number. % Interest Factors for the Future Value of One Dollar 10% Time Period (e.g. year) 1 2 3 4 5 1% 2% 3% 4% 5% 6% 7% 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.020 1.040 1.061 1.082 1.102 1.124 1.145 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.051 1.104 1.159 1.217 1.276 1.338 1.403 8% 1.080 1.166 1.260 1.360 1.469 9% 1.090 1.188 1.295 1.412 1.539 1.100 1.210 1.331 1.464 1.611 12% 1.120 1.254 1.405 14% 1.140 1.300 1.482 1.689 1.925 15% 1.150 1.322 1.521 1.749 2.011 16% 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2.288 1.574 1.762 6 7 8 9 10 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.105 1.219 1.344 1.480 1.629 1.791 1.967 1.587 1.714 1.851 1.999 2.159 1.677 1.828 1.993 2.172 2.367 1.772 1.949 2.144 2.358 2.594 1.974 2.211 2.476 2.773 3.106 2.195 2.502 2.853 3.252 3.707 2.313 2.660 3.059 3.518 4.046 2.436 2.826 3.278 3.803 4.411 2.700 3.186 3.759 4.436 5.234 4.652 5.350 1.127 11 12 13 14 15 1.116 1.243 1.384 1.539 1.710 1.898 2.105 1.268 1.426 1.601 1.796 2.012 2.252 1.138 1.294 1.469 1.665 1.886 2.133 2.410 1.149 1.319 1.513 1.732 1.980 2.261 2.579 1.161 1.346 1.558 1.801 2.079 2.397 2.759 2.332 2.518 2.720 2.937 3.172 2.580 2.813 3.066 3.342 3.642 2.853 3.138 3.452 3.797 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 6.153 5.117 5.936 6.886 7.988 9.266 6.176 7.287 8.599 10.147 11.973 7.076 8.137 1 16 17 18 19 20 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 4.328 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 4.717 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 5.142 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 5.604 4.595 6.130 8.137 9.358 10.748 5.054 6.866 9.276 10.761 12.468 5.560 7.690 10.575 12.375 14.463 6.116 8.613 12.056 14.232 16.777 6.728 9.646 13.743 16.367 19.461 14.129 16.672 19.673 23.214 27.393 3 25 9 6.848 1.282 1.641 2.094 2.666 3.386 4.292 5.427 8.623 62.688 10.835 17.000 26.462 32.919 40.874 30 1.348 1.811 2.427 3.243 4.322 5.743 7.612 10.063 13.268 17.449 29.960 50.950 66.212 85.850 143.370 23
