Question 5 Use the information provided to answer the questions. 5.1 Use the information provided below to calculate the following. Where applicable, use the present value tables provided in APPENDICES 1 and 2 that appear after QUESTION 5. Calculate the Payback Period of Project A (expressed in years, months and days). 5.1.1 5.1.2 5.1.3 5.1.4 Calculate the Accounting Rate of Return (on average investment) of Project B (expressed to two decimal places). Calculate the Net Present Value of each project (with amounts rounded off to the nearest Rand). Use your answers from question 5.1.3 to recommend the project that should be chosen. Motivate your choice. (3 marks) (5 marks) (6 marks) (1 marks) INFORMATION Zeda Enterprises has the option to invest in machinery in projects A and B but finance is only available to invest in one of them. You are given the following projected data: Initial cost Scrap value Depreciation per year Net profit Year 1 Year 2 Year 3 Year 4 Year 5 Net cash flows Year 1 Year 2 Year 3 Year 4 Year 5 Additional information The discount rate used by the company is 12%. Project A R300 000 R40 000 R52 000 R20 000 R30 000 R50 000 R60 000 R10 000 Project B R300 000 0 R60 000 R90 000 R90 000 R90 000 R90 000 R90 000 5.2 Use the information provided below to calculate the Internal Rate of Return (expressed to two decimal places) using interpolation. INFORMATION (5 marks) A machine with a purchase price of R1 200 000 is estimated to eliminate manual operations by R400 000 per year. The machine is expected to have a useful life of four years. APPENDIX 1: PRESENT VALUE OF R1 Number of Periods 1 2 3 4 5 6 7 8 9 10 11 12 1% 2% 3% 4% 5% 6% 7% 8% 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 9% 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 10% 11% 12% 13% 0.8963 0.8043 0.7224 0.6496 0.5847 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8116 0.7972 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062 0.6944 0.6400 14% 15% 16% 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.7118 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787 0.5120 17% 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 18% 19% 20% 0.5428 0.5194 0.4972 0.4761 0.4561 25% 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4323 0.4104 0.3898 0.3704 0.3521 0.3349 02621 0.2875 0.8475 0.8403 0.8333 0.8000 0.6133 0.5921 0.5718 0.5523 0.5337 0.5158 0.4987 0.4823 0.4096 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 05132 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791 0.2097 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269 0.3050 0.2848 0.2660 0.2487 0.2326 0.1678 0.3220 0.2946 0.2697 0.2472 0.2267 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843 0.2630 0.2434 0.2255 0.2090 0.1938 0.1342 0.2607 0.2366 0.4371 0.4190 0.4019 0.3277 0.2080 0.1911 0.1756 0.1615 0.1074 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346 0.0859 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122 0.0687 13 14 15 16 17 18 19 20 25 30 40 50 60 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935 0.0550 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779 0.0440 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1229 0.8528 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649 0.0352 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.1069 0.0930 0.0811 0.0708 0.0618 0.0541 0.0281 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.0929 0.0802 0.0693 0.0600 0.0520 0.0451 0.0225 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437 0.0376 0.0180 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367 0.0313 0.0144 0.7798 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308 0.0261 0.0115 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.1160 0.0923 0.0736 0.0588 0.0471 0.0378 0.0304 0.0245 0.0197 0.0160 0.0129 0.0105 0.0038 0.7419 0.5521 0.4120 0.3083 0.2314 0.1741 0.1314 0.0994 0.0754 0.0573 0.0437 0.0334 0.0256 0.0196 0.0151 0.0116 0.0090 0.0070 0.0054 0.0042 0.0012 0.6717 0.4529 0.3066 0.2083 0.1420 0.0972 0.0668 0.0460 0.0318 0.0221 0.0154 0.0107 0.0075 0.0053 0.0037 0.0026 0.0019 0.0013 0.0010 0.0007 0.0001 0.6080 0.3715 0.2281 0.1407 0.0872 0.0543 0.0339 0.0213 0.0134 0.0085 0.0054 0.0035 0.0022 0.0014 0.0009 0.0006 0.0004 0.0003 0.0002 0.0001 0.5504 0.3048 0.1697 0.0951 0.0535 0.0303 0.0173 0.0099 0.0057 0.0033 0.0019 0.0011 0.0007 0.0004 0.0002 0.0001 0.0001 * APPENDIX 2: PRESENT VALUE OF A REGULAR ANNUITY OF R1 PER PERIOD FOR N PERIODS *