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Tolbotics Inc. is considering a three-year project that will require an initial investment of $44,000. If market demand is strong, Tolbotics Inc. thinks that the project will generate cash flows of $29,500 per year. However, if market demand is weak, the company believes that the project will generate cash flows of only $2,000 per year. The company thinks that there is a 50% chance that demand will be strong and a 50% chance that demand will be weak.
If the company uses a project cost of capital of 14%, what will be the expected net present value (NPV) of this project if the company is ignoring the timing option?
a. -$3,435
b. -$3,779
c. -$3,092
d. -$3,607

Sagot :

Kolawole845

Answer:

Expected value NPV =$-,7434

Explanation:

The Expected Net present value (NPV) is the difference between the Present value (PV) of Expected value  cash inflows and the PV of cash outflows. A positive NPV implies a good and profitable investment project and a negative figure implies the opposite.  

Expected value NPV = PV of expected value  cash inflow - PV of cash outflow  

Present value of cash inflow:  

The expected cash in flows is the sum of the cash inflows multiplied by their respective probabilities. For Tolbotics it is calculated as follows:

Expected cash inflows=m (29,500× 0.5) + (2,000× 0.5)=15,750

NPV = 15,750× (1-1.14^(-3)/0.14) - 44,000=-7434.

Expected value NPV =$-7,434

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