If the company chooses to drill today, what is the project's net present value?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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The Karns Oil Company is deciding whether to drill for oil on a tract of land that the company owns. The company estimates the project would cost $4 million today. Karns estimates that, once drilled, the oil will generate positive net cash flows of $2 million a year at the end of each of the next 4 years. Although the company is fairly confident about its cash flow forecast, in 2 years it will have more information about the local geology and about the price of oil. Karns estimates that if it waits 2 years then the project would cost $5 million. Moreover, if it waits 2 years, then there is a 90% chance that the net cash flows would be $2.1 million a year for 4 years and a 10% chance that they would be $1.1 million a year for 4 years. Assume all cash flows are discounted at 8%. If the company chooses to drill today, what is the project's net present value? Do not round intermediate calculations. Enter your answer in millions. For example, an answer of $1.23 million should be entered as 1.23, not 1,230,000. Round your answer to two decimal places. $ million
Expert Solution
Step 1

The formula to calculate the PV of cash inflows is as follows:

PVof cash inflows = CF1 - (1+r)-nr

Where CF = annual cash inflow

r = required rate of return 

n = time period

NPV is the profitability of a project is dollar terms today. This can be calculated as 

NPV = PV of cash inflows - initial investment

 

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