WhitePearl Berhad: Project Evaluation
It has been three months since you took a position as an assistant financial analyst at WhitePearl Berhad. Although your boss has been pleased with your work, he is still a bit hesitant about unleashing you without supervision. Your next assignment involves both the calculation of the cash flows associated with a new investment under consideration and the evaluation of several mutually exclusive projects. Given your lack of tenure at WhitePearl Berhad, you have been asked not only to provide recommendations but also to respond to several questions aimed at judging your understanding of the capital budgeting process. The memorandum you received outlining your assignment follows:
To: The Assistant Financial Analyst
From: Mr. Mark, CEO WhitePearl Berhad
Re: Cash Flow Analysis and Capital Rationing
We are considering the introduction of new product. Currently we are in the 27% tax bracket with a 10% discount rate. The project is expected to last five years and then, it will be terminated. The following information describes the new project:
Cost of new plant and equipment RM 8,900,000
Shipping and installation costs RM 400,000
Unit Sales:
Year |
Units Sold |
1 |
70,000 |
2 |
120,000 |
3 |
140,000 |
4 |
80,000 |
5 |
60,000 |
Sales price per unit: RM300/unit in Years 1-4 and RM260/unit in Year 5
Variable cost per unit: RM180/unit
Annual fixed costs: RM300,000 per year
Working capital requirements:
There will be an initial working capital requirement of RM100,000 just to get production started. For each year, the total investment in net working capital will be equal to 10% of the dollar value of sales for that year. Thus, the investment in working capital will increase during Years 1 through 3, then decrease in Year 4. Finally, all working capital is liquidated at the termination of the project at the end of Year 5.
Depreciation Method:
Straight line over five years assuming the plant and equipment have no salvage value after five years.
Questions:
WhitePearl Berhad should focus on free cash flows instead of accounting profit because in capital budgeting, free cash flows reflects a clear picture of the funds that will be generated each year during the life of the project, which can be used for reinvestment purposes. Accounting profit, on the other hand, includes many non-cash items such as depreciation, which are not relevant when considering funds available for reinvestment.
Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
|
Cost of new plant&equipment(in RM) |
8,900,000 |
|||||
Shipping & installation costs(in RM) |
400,000 |
|||||
Annual sales units (in units) |
70,000 |
120,000 |
140,000 |
80,000 |
60,000 |
|
Sale price per unit (in RM) |
300 |
300 |
300 |
300 |
260 |
|
Estimated sales revenue(in RM) |
21,000,000 |
36,000,000 |
42,000,000 |
24,000,000 |
15,600,000 |
|
Less: Variable costs(in RM) |
12,600,000 |
21,600,000 |
25,200,000 |
14,400,000 |
10,800,000 |
|
Less: Annual fixed costs(in RM) |
300,000 |
300,000 |
300,000 |
300,000 |
300,000 |
|
Less: Annual depreciation(in RM) |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
|
Earnings before interest&tax(in RM) |
6,240,000 |
12,240,000 |
14,640,000 |
7,440,000 |
2,640,000 |
|
Less: Tax @27% (in RM) |
1,684,800 |
3,304,800 |
3,952,800 |
2,008,800 |
712,800 |
|
Net after-tax income(in RM) |
4,555,200 |
8,935,200 |
10,687,200 |
5,431,200 |
1,927,200 |
|
Add back: Depreciation(in RM) |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
|
After-tax cash flows(in RM) |
6,415,200 |
10,795,200 |
12,547,200 |
7,291,200 |
3,787,200 |
|
Less: Working capital(in RM) |
100,000 |
2,100,000 |
3,600,000 |
4,200,000 |
2,400,000 |
1,560,000 |
Free cash flows(in RM) |
4,315,200 |
7,195,200 |
8,347,200 |
4,891,200 |
2,227,200 |
|
Add: Liquidation of working capital |
13,960,000 |
|||||
Total free cash flows (in RM) |
4,315,200 |
7,195,200 |
8,347,200 |
4,891,200 |
16,187,200 |
|
Present value interest factor @10% |
0.909 |
0.826 |
0.751 |
0.683 |
0.621 |
|
Present value of cash flows |
3,922,517 |
5,943,235 |
6,268,747 |
3,340,690 |
10,052,251 |
|
Net Present value |
20,127,440 |
Based on above working, the incremental free cash flows in each year are:
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
||
Total free cash flows (in RM) |
4,315,200 |
7,195,200 |
8,347,200 |
4,891,200 |
16,187,200 |
The accounting profits are:
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
||
Net after-tax income(in RM) |
4555200 |
8935200 |
10687200 |
5431200 |
1927200 |
The free cash flows adds back non-cash expenses (Depreciation) and also considers working capital used in each year.
The initial outlay of the project is the cost of new plant and equipment, shipping and installation costs and the initial working capital requirement,i.e.
RM8,900,000 + RM400,000 + RM100,000
= RM9,400,000
The Net Present value = Present value of all cash flows from Year 1 to 5 less initial outlay
= RM29,527,440 – RM9,400,000
=RM20,127,440
The project should be accepted since the NPV is positive.
If sales units reduce by 25% in each year, the new NPV will be as follows: (Still the NPV is positive, so the project should be accepted)
Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
|
Cost of new plant&equipment(in RM) |
8,900,000 |
|||||
Shipping & installation costs(in RM) |
400,000 |
|||||
Annual sales units (in units) |
52,500 |
90,000 |
105,000 |
60,000 |
45,000 |
|
Sale price per unit (in RM) |
300 |
300 |
300 |
300 |
260 |
|
Estimated sales revenue(in RM) |
15,750,000 |
27,000,000 |
31,500,000 |
18,000,000 |
11,700,000 |
|
Less: Variable costs(in RM) |
9,450,000 |
16,200,000 |
18,900,000 |
10,800,000 |
8,100,000 |
|
Less: Annual fixed costs(in RM) |
300,000 |
300,000 |
300,000 |
300,000 |
300,000 |
|
Less: Annual depreciation(in RM) |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
|
Earnings before interest&tax(in RM) |
4,140,000 |
8,640,000 |
10,440,000 |
5,040,000 |
1,440,000 |
|
Less: Tax @27% (in RM) |
1,117,800 |
2,332,800 |
2,818,800 |
1,360,800 |
388,800 |
|
Net after-tax income(in RM) |
3,022,200 |
6,307,200 |
7,621,200 |
3,679,200 |
1,051,200 |
|
Add back: Depreciation(in RM) |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
1,860,000 |
|
After-tax cash flows(in RM) |
4,882,200 |
8,167,200 |
9,481,200 |
5,539,200 |
2,911,200 |
|
Less: Working capital(in RM) |
100,000 |
1,575,000 |
2,700,000 |
3,150,000 |
1,800,000 |
1,170,000 |
Free cash flows(in RM) |
3,307,200 |
5,467,200 |
6,331,200 |
3,739,200 |
1,741,200 |
|
Add: Liquidation of working capital |
10,495,000 |
|||||
Total free cash flows (in RM) |
3,307,200 |
5,467,200 |
6,331,200 |
3,739,200 |
12,236,200 |
|
Present value interest factor @10% |
0.909 |
0.826 |
0.751 |
0.683 |
0.621 |
|
Present value of cash flows |
3,006,245 |
4,515,907 |
4,754,731 |
2,553,874 |
7,598,680 |
|
Net Present value |
13,029,437 |
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