Final answer:
The NPV of the project is -$1,581.82, indicating that the project is not financially viable.
Step-by-step explanation:
The NPV (Net Present Value) of a project is a measure of its profitability and is calculated by subtracting the initial investment from the present value of the expected cash flows. In this case, Violet Sky Shipping is considering a 1-year project with an initial investment of $30,400 and an expected cash flow of $31,700 in 1 year.
To calculate the NPV, we need to discount the cash flow back to its present value. Assuming a discount rate of 10%, we can use the formula:
NPV = Cash Flow / (1 + Discount Rate)^n - Initial Investment
Plugging in the values:
NPV = $31,700 / (1 + 0.10)^1 - $30,400
Simplifying the equation:
NPV = $31,700 / 1.10 - $30,400
NPV = $28,818.18 - $30,400
NPV = -$1,581.82
Therefore, the NPV of the project is -$1,581.82, which indicates that the project is not financially viable.