Present Value of Annuity of $1 Requirements 1. Compute the payback period, the ARR, and the NPV of these two plans. What are the strengths and weaknesses of these capital budgeting models? 2. Which expansion plan should Cuppa choose? Why? 3. Estimate Plan A's IRR. How does the IRR compare with the company's required rate of return? Reference Cuppa Inc. operates a chain of lunch shops. The company is considering two possible expansion plans. Plan A would open eight smaller shops at a cost of $8,940,000. Expected annual net cash inflows are $1,650,000 with zero residual value at the end of ten years. Under Plan B, Cuppa would open three larger shops at a cost of $8,640,000. This plan is expected to generate net cash inflows of $1,150,000 per year for ten years, the estimated life of the properties. Estimated residual value is $1,000,000. Cuppa uses straight-line depreciation and requires an annual return of 6%. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c} Period 11 & 10.368 & 9.787 & 9.253 & 8.760 & 8.306 & 7.887 & 7.139 & 6.495 & 5.938 & 5.453 & 5.029 & 4.656 & 4.327 \\ Period 12 & 11.255 & 10.575 & 9.954 & 9.385 & 8.863 & 8.384 & 7.536 & 6.814 & 6.194 & 5.660 & 5.197 & 4.793 & 4.439 \\ Period 13 & 12.134 & 11.348 & 10.635 & 9.986 & 9.394 & 8.853 & 7.904 & 7.103 & 6.424 & 5.842 & 5.342 & 4.910 & 4.533 \\ Period 14 & 13.004 & 12.106 & 11.296 & 10.563 & 9.899 & 9.295 & 8.244 & 7.367 & 6.628 & 6.002 & 5.468 & 5.008 & 4.611 \\ Period 15 & 13.865 & 12.849 & 11.938 & 11.118 & 10.380 & 9.712 & 8.559 & 7.606 & 6.811 & 6.142 & 5.575 & 5.092 & 4.675 \\ Period 20 & 18.046 & 16.351 & 14.877 & 13.590 & 12.462 & 11.470 & 9.818 & 8.514 & 7.469 & 6.623 & 5.929 & 5.353 & 4.870 \\ Period 25 & 22.023 & 19.523 & 17.413 & 15.622 & 14.094 & 12.783 & 10.675 & 9.077 & 7.843 & 6.873 & 6.097 & 5.467 & 4.948 \\ Period 30 & 25.808 & 22.396 & 19.600 & 17.292 & 15.372 & 13.765 & 11.258 & 9.427 & 8.055 & 7.003 & 6.177 & 5.517 & 4.979 \\ Period 40 & 32.835 & 27.355 & 23.115 & 19.793 & 17.159 & 15.046 & 11.925 & 9.779 & 8.244 & 7.105 & 6.233 & 5.548 & 4.997 \\ \hline \end{tabular} \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} Period 11 & 11.567 & 12.169 & 12.808 & 13.486 & 14.207 & 14.972 & 16.645 & 18.531 & 20.655 & 23.045 & 25.733 & 28.755 & 32.150 \\ Period 12 & 12.683 & 13.412 & 14.192 & 15.026 & 15.917 & 16.870 & 18.977 & 21.384 & 24.133 & 27.271 & 30.850 & 34.931 & 39.581 \\ Period 13 & 13.809 & 14.680 & 15.618 & 16.627 & 17.713 & 18.882 & 21.495 & 24.523 & 28.029 & 32.089 & 36.786 & 42.219 & 48.497 \\ Period 14 & 14.947 & 15.974 & 17.086 & 18.292 & 19.599 & 21.015 & 24.215 & 27.975 & 32.393 & 37.581 & 43.672 & 50.818 & 59.196 \\ Period 15 & 16.097 & 17.293 & 18.599 & 20.024 & 21.579 & 23.276 & 27.152 & 31.772 & 37.280 & 43.842 & 51.660 & 60.965 & 72.035 \\ Period 20 & 22.019 & 24.297 & 26.870 & 29.778 & 33.066 & 36.786 & 45.762 & 57.275 & 72.052 & 91.025 & 115.380 & 146.628 & 186.688 \\ Period 25 & 28.243 & 32.030 & 36.459 & 41.646 & 47.727 & 54.865 & 73.106 & 98.347 & 133.334 & 181.871 & 249.214 & 342.603 & 471.981 \\ Period 30 & 34.785 & 40.568 & 47.575 & 56.085 & 66.439 & 79.058 & 113.283 & 164.494 & 241.333 & 356.787 & 530.312 & 790.948 & 1,181.882 \\ Period 40 & 48.886 & 60.402 & 75.401 & 95.026 & 120.800 & 154.762 & 259.057 & 442.593 & 767.091 & 1,342.025 & 2,360.757 & 4,163.213 & 7,343.858 \\ \hline \end{tabular}