Note: For all problems, round percentages to 2 decimal places and currency to the nearest dollar.
PLEASE SHOW ALL STEPS AND HOW YOU OBTAIN THE NUMBERS FOR THE NET PRESENT VALUE FOR EACH PIECE OF EQUIPMENT TO BE PURCHASED. Seeing the calculations will help me have a better understanding. I did not understand this portion of the problem when I first submitted it, so I would appreciate your showing detailed steps on how to solve this portion of this problem. I need this informaton so I can be prepared to complete my pre-exam final. Thank you for your help.
Waters Company is trying to decide which of the two new product lines to introduce in the coming year. The company requires a 10% return on investment. The predicted revenue and cost data for each product line follows:
|
Product A |
Product B |
|
|
Unit Sales |
25,000 |
20,000 |
|
Unit Sales Price |
$ 35 |
$ 35 |
|
Direct materials |
$ 45,000 |
$ 28,000 |
|
Direct labor |
$ 125,000 |
$ 85,000 |
|
Other Cash operating expenses |
$ 40,000 |
$ 30,000 |
|
New equipment costs |
$ 2,300,000 |
$ 1,800,000 |
|
Estimated useful life (no salvage) |
5 years |
5 years |
|
Straight-line depreciation |
(2,300,000 – 0)/5 = 460,000 |
(1,800,000 – 0)/5 =360,000 |
The company has a 30% tax rate and it used the straight-line depreciation method with no salvage value. The present value of an annuity of $1 for 5 years at 10% is 3.7908.
e. Calculate the net present value for each piece of equipment to be purchased.
Problem A Problem B
| Calculation of expected net cash flow | |||||
| Particulars | Product A | Product B | |||
| Total sale (A) | 875000 | 700000 | |||
| less: expenses | |||||
| Direct material | 45000 | 28000 | |||
| Direct labor | 125000 | 85000 | |||
| Operating expenses | 40000 | 30000 | |||
| Depreciation | 460000 | 360000 | |||
| Total expenses (B) | 670000 | 503000 | |||
| Net income before Tax (A)-(B) | 205000 | 197000 | |||
| Less: tax @ 30% | 61500 | 59100 | |||
| Net income after tax | 143500 | 137900 | |||
| add: Depreciation | 460000 | 360000 | |||
| Expected cash flow | 603500 | 497900 | |||
| Total sale = sale unit*selling price p.u | |||||
| Total sale (25000*35),(20000*35) | 875000 | 700000 | |||
| Calculation of Net Present value | |||||
| PRODUCT A | |||||
| Net present value = total present value of expected cash flow-initial investment | |||||
| Total present value of expected cash flow = expected cash flow*present value annuity of 10% | |||||
| total present value of expected cash flow = 603500*3.7908 = 2287748 | |||||
| Net present value= 2287748-2300000 | |||||
| Net present value Of product A = -12252.2 | |||||
| PRODUCT B NET PRESENT VALUE | |||||
| Net present value = total present value of expected cash flow-initial investment | |||||
| Total present value of expected cash flow = 497900*3.7908 | |||||
| Total present value of expected cash flow = 1887439 | |||||
| NET PRESENT VALUE OF PRODUCT B = 1887439-1800000 | |||||
| NET PRESENT VALUE OF PRODUCT B = 87439.32 | |||||
Note: For all problems, round percentages to 2 decimal places and currency to the nearest dollar....