11. The Ogden Corporation makes an Investment of $25,000, which yields the following cash flows: Year Cash Flow 1 $5,000 2 $5,000 3 $8,000 4 $9,000 5 $10,000 a. What is the present value with a 9 percent discount rate (cost of capita) b. What is the internal rate of return (IRR)? c. In this problem would you make the same decision in parts a and b? pls help me with formula.
Solution a:
Computation of NPV | ||||
Particulars | Period | PV Factor | Amount | Present Value |
Cash outflows: | ||||
Cost of Equipment | 0 | 1 | $25,000 | $25,000 |
Present Value of Cash outflows (A) | $25,000 | |||
Cash Inflows | ||||
Year 1 | 1 | 0.917 | $5,000 | $4,587 |
Year 2 | 2 | 0.842 | $5,000 | $4,208 |
Year 3 | 3 | 0.772 | $8,000 | $6,177 |
Year 4 | 4 | 0.708 | $9,000 | $6,376 |
Year 5 | 5 | 0.650 | $10,000 | $6,499 |
Present Value of Cash Inflows (B) | $27,848 | |||
Net Present Value (NPV) (B-A) | $2,848 |
Solution b:
Computation of IRR | ||
Period | Cash Flows | IRR |
0 | -$25,000.00 | 12.76% |
1 | $5,000.00 | |
2 | $5,000.00 | |
3 | $8,000.00 | |
4 | $9,000.00 | |
5 | $10,000.00 |
Solution c:
Yes, i will make same decision in parts a and b as investment should be accepted.
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