234k views
2 votes
You have an opportunity to invest $50,000 now in return for $60,000 in one year. If your cost of capital is 8.0%​, what is the NPV of this​ investment?

User AndRSoid
by
7.2k points

1 Answer

6 votes

Final answer:

The NPV of the investment is $5,555.56, calculated by discounting the future cash inflow of $60,000 by the cost of capital of 8% and subtracting the initial investment of $50,000. This positive NPV indicates a good investment.

Step-by-step explanation:

To calculate the Net Present Value (NPV) of the investment opportunity, we can use the formula NPV = Net Cash Inflow / (1 + r)n - Initial Investment, where r represents the cost of capital (interest rate) and n is the number of periods until cash inflow.

Given an investment of $50,000 now (Initial Investment) and a return of $60,000 in one year (Net Cash Inflow), with a cost of capital of 8.0%:

NPV = $60,000 / (1 + 0.08)1 - $50,000

NPV = $60,000 / 1.08 - $50,000

NPV = $55,555.56 - $50,000

NPV = $5,555.56

The NPV of the investment is $5,555.56. Since it's positive, it indicates that the investment would generate value above the cost of capital and could be considered a good investment.

User Anfernee
by
8.3k points