Tulsa Company is considering investing in new bottling equipment and has two options: Option A has a lower initial cost but would require a significant expenditure to rebuild the machine after four years; Option B has higher maintenance costs, but also has a higher salvage value at the end of its useful life. Tulsa’s cost of capital is 11 percent. The following estimates of the cash flows were developed by Tulsa’s controller:
A | B | |
Initial Investment | 320,000 | 454,000 |
Annual Cash inflows | 150,000 | 160,000 |
Annual cash outflows | 70,000 | 75,000 |
Costs to rebuild | 120,000 | 0 |
salvage value | 0 | 24,000 |
estimated useful life | 8yrs | 8yrs |
Required:
Calculate NPV. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Negative amounts should be indicated by a minus sign. Round your "Present Values" to the nearest whole dollar amount.)
Option A | ||||
Year | Cashflows | PV factor | present value | |
11% | ||||
initial investment | 0 | |||
annual cash flows | 1-8 | |||
cost to rebuild | 4 | |||
salvage | 8 | |||
net present value | ||||
Option B | ||||
Year | cashflows | PV Factor | Present value | |
11% | ||||
initial investment | 0 | |||
annual cash flows | 1-8 | |||
cost to rebuild | 4 | |||
salvage | 8 | |||
net present value |
Computation of NPV of Option A
Year | Cashflows | PV factor ( 11% ) | present value | |
Initial Investment | 0 | ($320,000) | 1 | ($320,000) |
Net
Annual cash inflows (150,000-70000) |
1-8 | $80,000 | 5.14612 | $411,690 |
Cost to rebuild | 4 | ($120,000) | 0.65873 | ($79,048) |
Salvage Value | 8 | 0 | 0.43393 | 0 |
Net Present Value | $12,642 |
Computation of NPV of Option B
Year | Cashflows | PV factor ( 11% ) | present value | |
Initial Investment | 0 | ($454,000) | 1 | ($454,000) |
Net
Annual cash inflows (160,000-75,000) |
1-8 | $85,000 | 5.14612 | $437,420 |
Cost to rebuild | 4 | 0 | 0.65873 | 0 |
Salvage Value | 8 | $24,000 | 0.43393 | $10,414 |
Net Present Value | ($6,166) |
Present Value table is used with value upto 5 decimals. Present values are round off to nearest dollars as said in question.
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