Answer:
The NPV of the project is $765.91 and option A is the correct answer.
Explanation:
To calculate the initial outlay or cost of the project, we will use the payback period of the project. The payback period is the time taken by the project's cash flows to cover up the initial cost.
A payback period of 2.5 years means that the initial cost was,
Initial cost = 2000 + 3000 + 3000 * 0.5
Initial cost = $6500
To calculate the NPV of the project, we use the following formula,
NPV = CF1 / (1+r) + CF2 / (1+r)^2 + ... + CFn / (1+r)^n - Initial cost
Where,
- CF1, CF2 , ... represents the cash flow in year 1, cash flow in year 2 and so on.
- r is the cost of capital
NPV = 2000 / (1+0.12) + 3000 / (1+0.12)^2 + 3000 / (1+0.12)^3 +
1500 / (1+0.12)^4 - 6500
NPV = $765.9137794 rounded off to $765.91
