In: Finance
ASSIGNMENT
PNB Berhad is considering the purchase of a new production machine under its expansion programme. It costs RM500,000 and requires installation costs of RM50,000. The old stamping machine has zero terminal book value and five years of useful life remaining. It is being depreciated using the straight-line method. It was purchased five years ago for RM250,000, and can be sold today for RM100,000.
With the use of the new machine, sales in each of the next five years are expected to increase by RM250,000, and expenses (excluding depreciation) will represent 50% of sales. This new machine will not affect the company’s net working capital requirements. The new machine is estimated to have a useful life of five years with RM50,000 salvage value and will be depreciated using the straight-line method
The company is subject to a 25% tax rate and its cost of capital is 12%. The desired payback period is five years.
Required:
a) Determine the initial outlay and annual differential cash flows attributable to the new production machine.
b) Compute the following for the new machine:
i. Payback period
ii. Net present value
iii. Internal rate of return
c) Make a recommendation to accept or reject the new production machine. Justify your answer.
PNB is considering purchase of new machine and following are require criteria as mentioned below.
(a) Initial Outlay & Annual Differential Cash Flows:-
Cost of New Machine (1) | 500000 |
Installaton Cost of New Machine (2) | 50,000 |
Sale Price of Old Asset (3) | 100000 |
Initial Outlay | 450000 |
2.Annual Differential Cash Flows to the new production mmachine is as under:-
Particulars | 1 | 2 | 3 | 4 | 5 | Sum |
Incremental Sales (1) | 250000 | 250000 | 250000 | 250000 | 250000 | Annual Differential Cash Flows |
Expenses excluding Deprecitaion(2) | 125000 | 125000 | 125000 | 125000 | 125000 | |
Cash Flow (3)=(1)-(2) | 125000 | 125000 | 125000 | 125000 | 125000 | |
Salvage Value (4) | 50000 | |||||
Net cash Flow (5)=(3)+(4) | 125000 | 125000 | 125000 | 125000 | 175000 | 675000 |
(b) Computaion of Payback Period, NPV & IRR of New Machine
(1) Payback period is the time when initial outlay is nil
= Year 3 + ((Total Cash flow till year 3 - Initial Outlay)/( Total Cash flow till Year 3 - Total Cash Flow till year 4) * 1
= 3 + ((375000 - 450000)/375000 - 500000))*1
= 3.6 years
Note:- Please refer value of cash flows from Annual Differential cash Flow solutions mentioned above.
(2) Net Present Value is the differnce between initial Outlay & Net Present Cash Flows.
Year | Cash Fows | Depreciation | Net Cash Flows | Tax Rate @25% | Net Cash Flows after deducting Tax | Net Cash Flows including Depreciation | Cost of Capital | Present Value of Cash Flows |
1 | 125000 | 100000 | 25000 | 6250 | 18750 | 118750 | 1.12 | 106026.8 |
2 | 125000 | 100000 | 25000 | 6250 | 18750 | 118750 | 1.25 | 94666.77 |
3 | 125000 | 100000 | 25000 | 6250 | 18750 | 118750 | 1.40 | 84523.9 |
4 | 125000 | 100000 | 25000 | 6250 | 18750 | 118750 | 1.57 | 75467.77 |
5 | 175000 | 100000 | 75000 | 18750 | 56250 | 156250 | 1.76 | 88660.45 |
Total | 449345.7 | |||||||
Initial Outlay | 450000 | |||||||
NPV | -654.319 |
Note:- Depreciation is calculated SLM basis.
(3) IRR is present stage where Present Value of Cash Flows is equal to Initial Outlay.
Calulating Cash Flows at 11% WACC.
Net Cash Flows including depreciation | Cost of Capital @ 11% | Present Value of Cash Flows |
118750 | 1.11 | 106981.982 |
118750 | 1.23 | 96380.16 |
118750 | 1.37 | 86828.98 |
118750 | 1.52 | 78224.30 |
156250 | 1.69 | 92726.77 |
Total Present Value of CF | 461142.20 |
IRR = 11% + (( Present Value of Cash Flows at 11% - Initial Outlay)/(Present Value of Cash Flows at 11%- Present Value of Cash Flows at 13%))
=11+((461142.20-450000)/(461142.20-449343.7))
=11.94437%
(c) Considering NPV of New Machine the proposal to be rejected on accurate basis but in order to maintain the goodwill and quality of items produced against minimal NPV loss one should opt for same considering long term approach.