- 10 Marks
Question
The Maintenance Manager of Prudence Ltd insists that management should maintain an old equipment that had been used for 5 years and is fully depreciated rather than buy a new one. The old equipment has a current operating cost of GH¢53,000.00 per annum. The operating cost of the equipment is expected to increase at 5% every year over the next four years, with a sale value of GH¢6,500.00 in the fifth year.
The Maintenance Manager has proposed, that a new system with enhanced technology to reduce operating cost to GH¢32,000.00 for the next three years and GH¢33,600.00 for the fourth and fifth years be introduced. The new equipment will cost GH¢60,000.00 and when introduced, a redundancy cost of GH¢25,000.00 will be paid, with the old equipment sold for GH¢12,000.00. The sale value of the new equipment will be GH¢10,200.00 after its five years’ useful life.
Required:
Using Net Present Value (NPV) method of capital appraisal with 20% cost of capital, advise management on which option Prudence Ltd should go for.
Answer
Calculation of savings in operating cost
| Year | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Old system | GH¢53,000 | GH¢55,650 | GH¢58,432 | GH¢61,354 | GH¢64,422 | |
| New system | GH¢32,000 | GH¢32,000 | GH¢32,000 | GH¢33,600 | GH¢33,600 | |
| Savings | (GH¢21,000) | GH¢23,650 | GH¢26,432 | GH¢27,754 | GH¢30,822 | |
| Residual value | GH¢3,700 |
| DF | 1 | .833 | .694 | .579 | .482 | .402 |
|---|---|---|---|---|---|---|
| DCF | (GH¢73,000) | GH¢17,493 | GH¢16,413.10 | GH¢15,304.13 | GH¢13,377.43 | GH¢13,877.84 |
NPV of savings: GH¢3,465.15
Alternative method
| Year | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Operating cost | GH¢53,000 | GH¢55,650 | GH¢58,432 | GH¢61,354 | GH¢64,422 | |
| Residual value | GH¢6,500 |
| DF | 1 | .833 | .694 | .579 | .482 | .402 |
|---|---|---|---|---|---|---|
| PV of operating cost | GH¢53,000 | GH¢44,149 | GH¢38,621.10 | GH¢33,832.13 | GH¢29,572.63 | GH¢23,284.64 |
NPV of operating cost: GH¢169,459.50
New
| Year | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Operating cost | GH¢32,000 | GH¢32,000 | GH¢32,000 | GH¢33,600 | GH¢33,600 | |
| Initial cost | GH¢73,000 | |||||
| Residual value | GH¢10,200 |
| DF | 1 | .833 | .694 | .579 | .482 | .402 |
|---|---|---|---|---|---|---|
| PV of operating cost | GH¢73,000 | GH¢26,656 | GH¢22,208 | GH¢18,528 | GH¢16,195.20 | GH¢9,406.80 |
NPV of cost: GH¢165,994
The new system should be introduced.
- Tags: Capital Appraisal, Equipment Investment, Net Present Value, Operating Costs
- Level: Level 2
- Topic: Discounted cash flow
- Series: MAY 2018
- Uploader: Kwame Aikins