You are considering opening a new plant.
• The plant will cost $100 million upfront. After that, it is expected to
produce profits of $30 million at the end of every year. The cash
flows are expected to last forever.
1. Calculate the NPV of this investment opportunity if your cost of
capital is 8%. Should you make the investment?
2. Calculate the IRR and use it to determine the maximum deviation
allowable in the cost of capital estimate to leave the decision
unchanged.

Relax

Respuesta :

Answer:

1. $275 million

Yes

2. 30%

Explanation:

Calculation for the NPV of the investment opportunity

NPV = –100 + 30/0.08

NPV= $275 million

Therefore the NPV will be $275 million

Yes, Based on the above Calculation they should make the investment

2. Calculation for IRR

IRR: 0 = –100 + 30/IRR

Hence,

IRR = 30/100

IRR = 30%

Therefore the IRR will be 30%

The IRR is great only in a situation where the cost of capital does not go beyond 30%.

The NPV of the investment is . The investment should be made because it is profitable.

The IRR is 30%. The maximum deviation allowable in the cost of capital estimate to leave the decision unchanged is 30%.

What is the NPV?

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

NPV = -100 + $30 / 0.08 = $275 million.

The NPV is positive. This means the project is profitable.

What is the IRR?

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested.

IRR = -100 + 30 /1RR

100 = 30 / 1RR

IRR = 30 / 100 = 30%

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