Question

In: Economics

A company is considering investing in a project that will require an initial investment of $535k,...

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.

Solutions

Expert Solution

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.

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