In: Economics
A company is considering investing in a project that will require an initial investment of $535k, a dismantling cost after 10 years of $1.6M, and will bring in a positive cash flow at the end of each of the 11 years of $210k. The company has an expected internal return rate of 12%. Show using the Equivalent Rate of Return (ERR) method whether the company should make the investment.
Answer: | Particulars | Amount | ||
Initial investment (a) | 535,000.00 | |||
Dismantling cost after 10 years | 1,600,000.00 | |||
PV of dismantling cost (b) | 515,156.80 | |||
16,00,000 * PVIF(12%,10) | ||||
16,00,000 * 0.321973 | ||||
Revenues/year | 210,000.00 | |||
PV of revenues © | 1,246,917.00 | |||
2,10,000 * PVAF(12%,11) | ||||
2,10,000 * 5.9377 | ||||
NPV (c-a-b) | 196,760.20 | |||
Now, the company is having a positive NPV at estimated IRR of 12%. | ||||
Calculation of actual IRR: | ||||
If IRR =27%, | ||||
NPV = -5,35,000 - 1,600,000*PVIF(27%,10)+ 2,10,000 * PVAF(27%,11) | ||||
NPV = 40,088.38 | ||||
If IRR =31.02%, | ||||
NPV = -5,35,000 - 1,600,000*PVIF(31.02%,10)+ 2,10,000 * PVAF(31.02%,11) | ||||
NPV = -15.89 | ||||
which is approximately equal to 0. | ||||
Hence, actual IRR = 31.02% which is more than the expected IRR of 12%. | ||||
Hence, the project is benefecial and should be accepted. | ||||