Question
Peter and Lois are considering investing in a new cutting and assembly machine in anticipation of the increased demand for kitchen units. If they were
Peter and Lois are considering investing in a new cutting and assembly machine in anticipation of the increased demand for kitchen units. If they were to buy the machine now it would cost £12,000,000 with a useful life of 4 years. The machine is a specialized machine with very little alternate use, hence the scrap value is estimated to be just £1,000,000 which will be received at the end of year 4.
You and Stewie both agreed that the following data may be used to appraise the project.
Sales revenue and variable costs for the kitchen units in each of the four years are expected to be as follows:
YEAR | 1 | 2 | 3 | 4 |
Production/Sales(units) | 20,000 | 26,000 | 30,000 | 31,500 |
Sales (£) | 6,000,000 | 7,800,000 | 9,000,000 | 9,450,000 |
Variable cost (£) | 3,000,000 | 3,900,000 | 4,500,000 | 4,725,000 |
Fixed cost is estimated to be £500,000 per year and Stewie believes that 12% should be used to appraise the project. The company is subjected to a corporation tax rate of 20% and taxes are paid/received a year in arrears. The company is eligible to claim tax allowable depreciation on the asset at 25% reducing balance.
REQUIRED to:
- Using the worksheets "InvAppraisal" and "PV Table"; calculate the net present value and payback period of the project.
- If inflation rate was 5%, explain how would this affect your calculations.
- In your report, assess whether the directors should go ahead with the project.
Table "InvAppraisal"
Cashflows/YEAR | 0 | 1 | 2 | 3 | 4 | 5 | YEAR | DETAILS | £ | Tax savings at 20% | Timing of the receipts | |
0 | Cost | |||||||||||
TAD 25% | ||||||||||||
TWV | ||||||||||||
1 | TAD 25% | |||||||||||
TWV | ||||||||||||
2 | TAD 25% | |||||||||||
TWV | ||||||||||||
3 | TAD 25% | |||||||||||
Net CF | TWV | |||||||||||
DF@12% | 4 | Disposal | ||||||||||
Present Value | ||||||||||||
NPV | BA | |||||||||||
5 | ||||||||||||
Key | ||||||||||||
Payback | YEAR | Net CF | Accum CF | TAD - tax allowable depreciation | ||||||||
0 | TWV - tax written-down value | |||||||||||
1 | BA - Balacing Allowance | |||||||||||
2 | ||||||||||||
3 | ||||||||||||
4 |
Table 2.2: PV table 1
PRESENT VALUE of £1 | ||||||||||
Periods (n) | Interest rates (r) | |||||||||
1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | |
1 | 0.990 | 0.980 | 0.971 | 0.962 | 0.952 | 0.943 | 0.935 | 0.926 | 0.917 | 0.909 |
2 | 0.980 | 0.961 | 0.943 | 0.925 | 0.907 | 0.890 | 0.873 | 0.857 | 0.842 | 0.826 |
3 | 0.971 | 0.942 | 0.915 | 0.889 | 0.864 | 0.840 | 0.816 | 0.794 | 0.772 | 0.751 |
4 | 0.961 | 0.924 | 0.888 | 0.855 | 0.823 | 0.792 | 0.763 | 0.735 | 0.708 | 0.683 |
5 | 0.951 | 0.906 | 0.863 | 0.822 | 0.784 | 0.747 | 0.713 | 0.681 | 0.650 | 0.621 |
6 | 0.942 | 0.888 | 0.837 | 0.790 | 0.746 | 0705 | 0.666 | 0.630 | 0.596 | 0.564 |
7 | 0.933 | 0.871 | 0.813 | 0.760 | 0.711 | 0.665 | 0.623 | 0.583 | 0.547 | 0.513 |
8 | 0.923 | 0.853 | 0.789 | 0.731 | 0.677 | 0.627 | 0.582 | 0.540 | 0.502 | 0.467 |
9 | 0.914 | 0.837 | 0.766 | 0.703 | 0.645 | 0.592 | 0.544 | 0.500 | 0.460 | 0.424 |
10 | 0.905 | 0.820 | 0.744 | 0.676 | 0.614 | 0.558 | 0.508 | 0.463 | 0.422 | 0.386 |
11 | 0.896 | 0.804 | 0.722 | 0.650 | 0.585 | 0.527 | 0.475 | 0.429 | 0.388 | 0.350 |
12 | 0.887 | 0.788 | 0.701 | 0.625 | 0.557 | 0.497 | 0.444 | 0.397 | 0.356 | 0.319 |
13 | 0.879 | 0.773 | 0.681 | 0.601 | 0.530 | 0.469 | 0.415 | 0.368 | 0.326 | 0.290 |
14 | 0.870 | 0.758 | 0.661 | 0.577 | 0.505 | 0.442 | 0.388 | 0.340 | 0.299 | 0.263 |
15 | 0.861 | 0.743 | 0.642 | 0.555 | 0.481 | 0.417 | 0.362 | 0.315 | 0.275 | 0.239 |
16 | 0.853 | 0.728 | 0.623 | 0.534 | 0.458 | 0.394 | 0.339 | 0.292 | 0.252 | 0.218 |
17 | 0.844 | 0.714 | 0.605 | 0.513 | 0.436 | 0.371 | 0.317 | 0.270 | 0.231 | 0.198 |
18 | 0.836 | 0.700 | 0.587 | 0.494 | 0.416 | 0.350 | 0.296 | 0.250 | 0.212 | 0.180 |
19 | 0.828 | 0.686 | 0.570 | 0.475 | 0.396 | 0.331 | 0.277 | 0.232 | 0.194 | 0.164 |
20 | 0.820 | 0.673 | 0.554 | 0.456 | 0.377 | 0.312 | 0.258 | 0.215 | 0.178 | 0.149 |
Periods | Interest rates (r) | |||||||||
(n) | 11% | 12% | 13% | 14% | 15% | 16% | 17% | 18% | 19% | 20% |
1 | 0.901 | 0.893 | 0.885 | 0.877 | 0.87 | 0.862 | 0.855 | 0.847 | 0.84 | 0.833 |
2 | 0.812 | 0.797 | 0.783 | 0.769 | 0.756 | 0.743 | 0.731 | 0.718 | 0.706 | 0.694 |
3 | 0.731 | 0.712 | 0.693 | 0.675 | 0.658 | 0.641 | 0.624 | 0.609 | 0.593 | 0.579 |
4 | 0.659 | 0.636 | 0.613 | 0.592 | 0.572 | 0.552 | 0.534 | 0.516 | 0.499 | 0.482 |
5 | 0.593 | 0.567 | 0.543 | 0.519 | 0.497 | 0.476 | 0.456 | 0.437 | 0.419 | 0.402 |
6 | 0.535 | 0.507 | 0.48 | 0.456 | 0.432 | 0.41 | 0.39 | 0.37 | 0.352 | 0.335 |
7 | 0.482 | 0.452 | 0.425 | 0.4 | 0.376 | 0.354 | 0.333 | 0.314 | 0.296 | 0.279 |
8 | 0.434 | 0.404 | 0.376 | 0.351 | 0.327 | 0.305 | 0.285 | 0.266 | 0.249 | 0.233 |
9 | 0.391 | 0.361 | 0.333 | 0.308 | 0.284 | 0.263 | 0.243 | 0.225 | 0.209 | 0.194 |
10 | 0.352 | 0.322 | 0.295 | 0.27 | 0.247 | 0.227 | 0.208 | 0.191 | 0.176 | 0.162 |
11 | 0.317 | 0.287 | 0.261 | 0.237 | 0.215 | 0.195 | 0.178 | 0.162 | 0.148 | 0.135 |
12 | 0.286 | 0.257 | 0.231 | 0.208 | 0.187 | 0.168 | 0.152 | 0.137 | 0.124 | 0.112 |
13 | 0.258 | 0.229 | 0.204 | 0.182 | 0.163 | 0.145 | 0.13 | 0.116 | 0.104 | 0.093 |
14 | 0.232 | 0.205 | 0.181 | 0.16 | 0.141 | 0.125 | 0.111 | 0.099 | 0.088 | 0.078 |
15 | 0.209 | 0.183 | 0.16 | 0.14 | 0.123 | 0.108 | 0.095 | 0.084 | 0.079 | 0.065 |
16 | 0.188 | 0.163 | 0.141 | 0.123 | 0.107 | 0.093 | 0.081 | 0.071 | 0.062 | 0.054 |
17 | 0.17 | 0.146 | 0.125 | 0.108 | 0.093 | 0.08 | 0.069 | 0.06 | 0.052 | 0.045 |
18 | 0.153 | 0.13 | 0.111 | 0.095 | 0.081 | 0.069 | 0.059 | 0.051 | 0.044 | 0.038 |
19 | 0.138 | 0.116 | 0.098 | 0.083 | 0.07 | 0.06 | 0.051 | 0.043 | 0.037 | 0.031 |
20 | 0.124 | 0.104 | 0.087 | 0.073 | 0.061 | 0.051 | 0.043 | 0.037 | 0.031 | 0.026 |
Table 2.2: PV table 2
PRESENT VALUE of an ANNUITY | ||||||||||
Periods (n) | Interest rates (r) | |||||||||
1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | |
1 | 0.990 | 0.980 | 0.971 | 0.962 | 0.952 | 0.943 | 0.935 | 0.926 | 0.917 | 0.909 |
2 | 1.970 | 1.942 | 1.913 | 1.886 | 1.859 | 1.833 | 1.808 | 1.783 | 1.759 | 1.736 |
3 | 2.941 | 2.884 | 2.829 | 2.775 | 2.723 | 2.673 | 2.624 | 2.577 | 2.531 | 2.487 |
4 | 3.902 | 3.808 | 3.717 | 3.630 | 3.546 | 3.465 | 3.387 | 3.312 | 3.240 | 3.170 |
5 | 4.853 | 4.713 | 4.580 | 4.452 | 4.329 | 4.212 | 4.100 | 3.993 | 3.890 | 3.791 |
6 | 5.795 | 5.601 | 5.417 | 5.242 | 5.076 | 4.917 | 4.767 | 4.623 | 4.486 | 4.355 |
7 | 6.728 | 6.472 | 6.230 | 6.002 | 5.786 | 5.582 | 5.389 | 5.206 | 5.033 | 4.868 |
8 | 7.652 | 7.325 | 7.020 | 6.733 | 6.463 | 6.210 | 5.971 | 5.747 | 5.535 | 5.335 |
9 | 8.566 | 8.162 | 7.786 | 7.435 | 7.108 | 6.802 | 6.515 | 6.247 | 5.995 | 5.759 |
10 | 9.471 | 8.983 | 8.530 | 8.111 | 7.722 | 7.360 | 7.024 | 6.710 | 6.418 | 6.145 |
11 | 10.368 | 9.787 | 9.253 | 8.760 | 8.306 | 7.887 | 7.499 | 7.139 | 6.805 | 6.495 |
12 | 11.255 | 10.575 | 9.954 | 9.385 | 8.863 | 8.384 | 7.943 | 7.536 | 7.161 | 6.814 |
13 | 12.134 | 11.348 | 10.635 | 9.986 | 9.394 | 8.853 | 8.358 | 7.904 | 7.487 | 7.103 |
14 | 13.004 | 12.106 | 11.296 | 10.563 | 9.899 | 9.295 | 8.745 | 8.244 | 7.786 | 7.367 |
15 | 13.865 | 12.849 | 11.938 | 11.118 | 10.380 | 9.712 | 9.108 | 8.559 | 8.061 | 7.606 |
16 | 14.718 | 13.578 | 12.561 | 11.652 | 10.838 | 10.106 | 9.447 | 8.851 | 8.313 | 7.824 |
17 | 15.562 | 14.292 | 13.166 | 12.166 | 11.274 | 10.477 | 9.763 | 9.122 | 8.544 | 8.022 |
18 | 16.398 | 14.992 | 13.754 | 12.659 | 11.690 | 10.828 | 10.059 | 9.372 | 8.756 | 8.201 |
19 | 17.226 | 15.679 | 14.324 | 13.134 | 12.085 | 11.158 | 10.336 | 9.604 | 8.950 | 8.365 |
20 | 18.046 | 16.351 | 14.878 | 13.590 | 12.462 | 11.470 | 10.594 | 9.818 | 9.129 | 8.514 |
Periods (n) | Interest rates (r) | |||||||||
11% | 12% | 13% | 14% | 15% | 16% | 17% | 18% | 19% | 20% | |
1 | 0.901 | 0.893 | 0.885 | 0.877 | 0.870 | 0.862 | 0.855 | 0.847 | 0.840 | 0.833 |
2 | 1.713 | 1.690 | 1.668 | 1.647 | 1.626 | 1.605 | 1.585 | 1.566 | 1.547 | 1.528 |
3 | 2.444 | 2.402 | 2.361 | 2.322 | 2.283 | 2.246 | 2.210 | 2.174 | 2.140 | 2.106 |
4 | 3.102 | 3.037 | 2.974 | 2.914 | 2.855 | 2.798 | 2.743 | 2.690 | 2.639 | 2.589 |
5 | 3.696 | 3.605 | 3.517 | 3.433 | 3.352 | 3.274 | 3.199 | 3.127 | 3.058 | 2.991 |
6 | 4.231 | 4.111 | 3.998 | 3.889 | 3.784 | 3.685 | 3.589 | 3.498 | 3.410 | 3.326 |
7 | 4.712 | 4.564 | 4.423 | 4.288 | 4.160 | 4.039 | 3.922 | 3.812 | 3.706 | 3.605 |
8 | 5.146 | 4.968 | 4.799 | 4.639 | 4.487 | 4.344 | 4.207 | 4.078 | 3.954 | 3.837 |
9 | 5.537 | 5.328 | 5.132 | 4.946 | 4.772 | 4.607 | 4.451 | 4.303 | 4.163 | 4.031 |
10 | 5.889 | 5.650 | 5.426 | 5.216 | 5.019 | 4.833 | 4.659 | 4.494 | 4.339 | 4.192 |
11 | 6.207 | 5.938 | 5.687 | 5.453 | 5.234 | 5.029 | 4.836 | 4.656 | 4.486 | 4.327 |
12 | 6.492 | 6.194 | 5.918 | 5.660 | 5.421 | 5.197 | 4.988 | 7.793 | 4.611 | 4.439 |
13 | 6.750 | 6.424 | 6.122 | 5.842 | 5.583 | 5.342 | 5.118 | 4.910 | 4.715 | 4.533 |
14 | 6.982 | 6.628 | 6.302 | 6.002 | 5.724 | 5.468 | 5.229 | 5.008 | 4.802 | 4.611 |
15 | 7.191 | 6.811 | 6.462 | 6.142 | 5.847 | 5.575 | 5.324 | 5.092 | 4.876 | 4.675 |
16 | 7.379 | 6.974 | 6.604 | 6.265 | 5.954 | 5.668 | 5.405 | 5.162 | 4.938 | 4.730 |
17 | 7.549 | 7.120 | 6.729 | 6.373 | 6.047 | 5.749 | 5.475 | 5.222 | 4.990 | 4.775 |
18 | 7.702 | 7.250 | 6.840 | 6.467 | 6.128 | 5.818 | 5.534 | 5.273 | 5.033 | 4.812 |
19 | 7.839 | 7.366 | 6.938 | 6.550 | 6.198 | 5.877 | 5.584 | 5.316 | 5.070 | 4.843 |
20 | 7.963 | 7.469 | 7.025 | 6.623 | 6.259 | 5.929 | 5.628 | 5.353 | 5.101 | 4.870 |
Step by Step Solution
3.38 Rating (151 Votes )
There are 3 Steps involved in it
Step: 1
Requirement1 Calculation of Net Cash Flow of Project Initial Investment Sales Variable Cost Fixed Cost Depreciation Net Profit Tax Disposal Value Cash ...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started