In: Accounting
Bruno Corporation is involved in the business of injection molding of plastics. It is considering the purchase of a new computer-aided design and manufacturing machine for $437,500. The company believes that with this new machine it will improve productivity and increase quality, resulting in an increase in net annual cash flows of $100,453 for the next 6 years. Management requires a 10% rate of return on all new investments. Click here to view PV table.
Calculate the internal rate of return on this new machine. (Round answer to 0 decimal places, e.g. 10. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
Year |
Annual Cash Flow |
NPV Factor at 10% Discount rate |
Discounted Cash Flow |
1 |
$ 1,00,453.00 |
0.90909 |
$ 91,321 |
2 |
$ 1,00,453.00 |
0.82645 |
$ 83,019 |
3 |
$ 1,00,453.00 |
0.75131 |
$ 75,471 |
4 |
$ 1,00,453.00 |
0.68301 |
$ 68,610 |
5 |
$ 1,00,453.00 |
0.62092 |
$ 62,373 |
6 |
$ 1,00,453.00 |
0.56447 |
$ 56,703 |
Present velue of Cash Inflows |
$ 4,37,498 |
||
Less: Initial Investment |
437500 |
||
Net Present value |
$ (2) |
IRR= 10%
Internal rate of return is the rate of return at which net present value of the project is Zero.
In the above solution we can see that rate of 10% Is already giving NPV of $2 which is only due to round off error. We can take it as zero instead of 2.
Internal rate of return is 10% .
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