In: Accounting
Merrill Corp. has the following information available about a
potential capital investment:
Initial investment | $ | 1,100,000 | |||||
Annual net income | $ | 110,000 | |||||
Expected life | 8 | years | |||||
Salvage value | $ | 120,000 | |||||
Merrill’s cost of capital | 7 | % | |||||
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 7
percent.
Greater than 7 Percent | |
Less than 7 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 |
1 | A | B | A*B | ||||||
Year | Cash Flow | PV of Discount Factor @ 7% | PV of Cash Flow | ||||||
0 | -1100000 | 1.00 | -1,100,000.00 | ||||||
1 | 232500 | 0.93 | 217,289.72 | Initial Investment | 1100000 | ||||
2 | 232500 | 0.87 | 203,074.50 | Less: Salavage Value | 120000 | ||||
3 | 232500 | 0.82 | 189,789.26 | Depreciable Value | 980000 | ||||
4 | 232500 | 0.76 | 177,373.14 | Useful Life | 8 | ||||
5 | 232500 | 0.71 | 165,769.29 | Depreciation PA | 122500 | ||||
6 | 232500 | 0.67 | 154,924.57 | ||||||
7 | 232500 | 0.62 | 144,789.31 | ||||||
8 | 232500+120000 | 0.58 | 205,158.21 | Net Income | 110000 | ||||
358,168.00 | Add: Depreciation | 122500 | |||||||
Cash Flow | 232500 | ||||||||
2 | At IRR NPV is Zero, In the above Case NPV is Postive at 7% | ||||||||
This Implies the project can provide higher returns and can be discounted at higher than 7 % rate | |||||||||
3 | |||||||||
A | B | A*B | |||||||
Year | Cash Flow | PV of Discount Factor @ 13% | PV of Cash Flow | ||||||
0 | -1100000 | 1.00 | -1,100,000.00 | ||||||
1 | 232500 | 0.88 | 205,752.21 | Initial Investment | 1100000 | ||||
2 | 232500 | 0.78 | 182,081.60 | Less: Salavage Value | 120000 | ||||
3 | 232500 | 0.69 | 161,134.16 | Depreciable Value | 980000 | ||||
4 | 232500 | 0.61 | 142,596.60 | Useful Life | 8 | ||||
5 | 232500 | 0.54 | 126,191.69 | Depreciation PA | 122500 | ||||
6 | 232500 | 0.48 | 111,674.06 | ||||||
7 | 232500 | 0.43 | 98,826.60 | ||||||
8 | 232500+120000 | 0.38 | 132,596.35 | Net Income | 110000 | ||||
60,853.28 | Add: Depreciation | 122500 | |||||||
Cash Flow | 232500 | ||||||||
4 | At IRR NPV is Zero, In the above Case NPV is Postive at 13% | ||||||||
This Implies the project can provide higher returns and can be discounted at higher than 13 % rate | |||||||||