What is the net present value of annual maintenance cost for a delivery vehicle?

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In summary, Net Present Value (NPV) is a financial metric used to evaluate the profitability of an investment or project by considering the time value of money. It is calculated by subtracting the initial investment from the sum of the present value of all expected future cash flows. The purpose of using NPV is to determine the viability of an investment, and it has the advantage of providing a more accurate evaluation and allowing for easy comparison between different options. However, NPV has limitations such as not accounting for potential risks and relying on accurate predictions and a predetermined discount rate.
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waptrick
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The estimated annual maintenance cost associated with the delivery vehicle amounts to R14 000 for the first year that the vehicle will be used (payable at the end of the year). The annual maintenance cost for the subsequent two years will increase by 4% per year as a result of wear and tear. During the last two years that the vehicle is used the annual maintenance cost will further increase by 9% per year. Calculate the net present value of the maintenance cost now. The cost of capital is 11% p.a

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The answer is 46 304.87. But I have no idea how to get there
 
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Net Present Value is given by:

\(\displaystyle \text{NPV}=\sum_{t=1}^{n}\frac{R_t}{(1+r)^t}\)

In this formula, $r$ represents the discount rate, however, we are only given cost of capital. Do you have a means of getting the discount rate from the cost of capital?
 

Related to What is the net present value of annual maintenance cost for a delivery vehicle?

What is Net Present Value?

Net Present Value (NPV) is a financial metric that calculates the present value of future cash flows by taking into account the time value of money. It is used to evaluate the profitability of an investment or project.

How is Net Present Value calculated?

NPV is calculated by subtracting the initial investment (or cost) from the sum of the present value of all expected future cash flows. The present value of each cash flow is determined by discounting it using a predetermined discount rate.

What is the purpose of using Net Present Value?

The purpose of using NPV is to determine whether an investment or project will result in a positive or negative return after taking into account the time value of money. A positive NPV indicates that the investment is profitable, while a negative NPV indicates that it is not financially viable.

What are the advantages of using Net Present Value?

Using NPV allows for a more accurate evaluation of the profitability of an investment or project, as it takes into consideration the time value of money. It also allows for easy comparison between different investment options, as it provides a single value for the profitability of each option.

What are the limitations of using Net Present Value?

NPV does not take into account the potential risks associated with an investment or project, and it assumes that all future cash flows will be received as predicted. It also relies on accurate predictions of future cash flows and a predetermined discount rate, which may be subject to change.

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