In: Accounting
Merrill Corp. has the following information available about a
potential capital investment:
Initial investment | $ | 1,200,000 | |||||
Annual net income | $ | 120,000 | |||||
Expected life | 8 | years | |||||
Salvage value | $ | 130,000 | |||||
Merrill’s cost of capital | 10 | % | |||||
Assume straight line depreciation method is used.
Required:
1. Calculate the project’s net present value. (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. Do not round intermediate calculations.
Round the final answer to nearest whole dollar.)
2. Without making any calculations, determine
whether the internal rate of return (IRR) is more or less than 10
percent.
Greater than 10 Percent | |
Less than 10 Percent |
3. Calculate the net present value using a 13
percent discount rate. (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. Do not
round intermediate calculations. Round the final answer to nearest
whole dollar.)
4. Without making any calculations, determine
whether the internal rate of return (IRR) is more or less than 13
percent.
More than 13 percent | |
Less than 13 percent | |
Equal to 13 percent |
Solution 1:
Annual depreciation = (Cost - Salvage value) / Useful life = ($1,200,000 - $130,000) / 8 = $133,750
Annual cash inflows = Net Income + Depreciation = $120,000 + $133,750 = $253,750
Computation of NPV - Merrill Corp. | ||||
Particulars | Period | Amount | PV factor at 10% | Present Value |
Cash outflows: | ||||
Initial investment | 0 | $1,200,000.00 | 1 | $1,200,000 |
Present Value of Cash outflows (A) | $1,200,000 | |||
Cash Inflows | ||||
Annual cash inflows | 1-8 | $253,750.00 | 5.33493 | $1,353,738 |
Salvage value | 8 | $130,000.00 | 0.46651 | $60,646 |
Present Value of Cash Inflows (B) | $1,414,383 | |||
Net Present Value (NPV) (B-A) | $214,383 |
Solution 2:
As NPV is positive, it means IRR is greater than 10%.
Solution 3:
Computation of NPV - Merrill Corp. | ||||
Particulars | Period | Amount | PV factor at 13% | Present Value |
Cash outflows: | ||||
Initial investment | 0 | $1,200,000.00 | 1 | $1,200,000 |
Present Value of Cash outflows (A) | $1,200,000 | |||
Cash Inflows | ||||
Annual cash inflows | 1-8 | $253,750.00 | 4.79877 | $1,217,688 |
Salvage value | 8 | $130,000.00 | 0.37616 | $48,901 |
Present Value of Cash Inflows (B) | $1,266,589 | |||
Net Present Value (NPV) (B-A) | $66,589 |
Solution 4:
As NPV is positive, it means IRR is greater than 13%.