Number APPENDIX 1: Present value of R1 of 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 25% Periods 1 0.9901 0.9804 2 0.9803 3 0.9706 4 5 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8116 0.7972 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.7118 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 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 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 0.8000 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062 0.6944 0.6400 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787 0.5120 0.6133 0.5921 0.5718 0.5523 0.5337 0.5158 0.4987 0.4823 0.4096 0.5674 0.5428 0.5194 0.4972 0.4761 0.4561 0.4371 0.4190 0.4019 0.3277 6 0.9420 0.8880 7 0.9327 0.8706 8 0.9235 0.8535 9 10 0.6663 0.8131 0.7599 0.7107 0.6651 0.6227 0.7894 0.7307 0.6768 0.6274 0.5820 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.8375 0.7903 0.7462 0.7050 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 0.2621 0.5835 0.5470 0.5132 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791 0.2097 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 0.5002 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 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472 0.2267 0.2080 0.1911 0.1756 0.1615 0.1074 11 12 13 14 15 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.4289 0.3875 0.3505 0.3173 0.3971 0.3555 0.3186 0.2858 0.3677 0.3262 0.2897 0.2575 0.3405 0.2992 0.2633 0.2320 0.3152 0.2745 0.2394 0.2090 16 17 18 19 20 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.2875 0.2607 0.2366 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346 0.0859 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122 0.0687 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935 0.0550 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779 0.0440 0.1827 0.1599 0.1401 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649 0.0352 0.1229 0.1069 0.0930 0.0811 0.0708 0.0618 0.0541 0.0281 0.1078 0.0929 0.0802 0.0693 0.0600 0.0520 0.0451 0.0225 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437 0.0376 0.0180 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367 0.0313 0.0144 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308 0.0261 0.0115 25 30 40 50 60 0.7798 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 * * * * * HARTLEY LIMITED STATEMENT OF FINANCIAL POSITION AS AT 31 DECEMBER 2023 ASSETS Non-current assets Property, plant and equipment Current assets Inventory Accounts receivable Cash R office costs of R2 100 000. iLembe Enterprises expect to manufacture and sell 45 000 bar stools at R250 each. 2 200 000 2 200 000 7 000 000 4 500 000 2 200 000 300 000 9 200 000 Hartley Limited intends expanding its product range during 2025. The management is thus considering the purchase of new machinery. The machinery will cost R2 200 000 excluding installation costs of R200 000 and is expected to have a useful life of six years. The machinery is likely to generate revenues of R800 000 per year but will require the employment of two new machine operators at R100 000 per year for each operator, and it will require maintenance and repairs averaging R50 000 per year. No scrap value is expected. Depreciation is estimated to be R400 000 per year. The company desires a minimum rate of return of 12%. EQUITY AND LIABILITIES Equity 4 200 000 Ordinary share capital (100 000 shares) 2 800 000 Retained earnings 1 400 000 Non-current liabilities Loan Current liabilities Accounts payable Short-term loan 2 000 000 2 000 000 3 000 000 2 500 000 500 000 9 200 000 To promote the company's image and to fulfil its obligations in respect of corporate social responsibility the company embarked on several initiatives during 2024 that included aiding newly established businesses owned by persons from previously disadvantaged communities. One such business. iLembe Enterprises, requested expert financial management advice on matters related to cost-volume- profit analysis. iLembe Enterprises makes hand crafted bar stools which they supply to various stores. They supplied the following estimates for analysis for the forthcoming year. The fixed manufacturing costs are expected to be R480 000 whilst the variable manufacturing costs amount to R85 per unit. The marketing costs include salaries of R600 000, advertising of R300 000 and a commission of 6% of sales. Administration costs include salaries of R864 000 and other fixed
Refer to the investment opportunity for 2025 (purchase of new machinery) and calculate the following. Where discount factors are required use only the four decimals present value table (Appendix 1). Ignore taxes.
1. Payback Period (expressed in years, months and days).
2. Accounting rate of
3.
4.
5. Internal Rate of Return (expressed to two decimal places) if the machine is expected to have a salvage value of R200 000. Your answer must include two net present value calculations (using consecutive rates/percentages) and interpolation.



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