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# Net Present Value Calculator (NPV) + NPV Explanation

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on ## How to use the present value calculator

To use the calculator, simply enter the required information into each field. The fields are as follows:

• Future Value: This is the amount of money you expect to receive in the future.
• Interest Rate: This is the rate at which the future value will be discounted. Enter this as a decimal (e.g, 5% would be entered as 0.05).
• Number of Periods: This is the number of time periods (usually years) between now and when you expect to receive the future value.
• Compounding Frequency: This is how often interest is compounded. Choose from the options in the dropdown menu.

Once you have entered all of the required information, click the “Calculate” button. The calculator will then display the present value of the future sum based on the information you entered.

## What is NPV (net present value)

NPV, or net present value, is a financial measurement tool that helps you evaluate the value of future cash flows. It compares the present value of a lump sum of cash, to the present value of future income or future payments. Simply put, the NPV formula takes into account the time value of money, by discounting future cash flows to their present value.

To calculate the NPV, you need to take the total cash flow for each period and discount it by a rate that reflects the time value of money. If the NPV is positive, then the investment or opportunity is profitable, and if the NPV is negative, then the investment or opportunity is not profitable. Ideally, you are looking for an NPV that is greater than zero, which means that your investment is generating a positive return.

In addition to being valuable in evaluating an investment opportunity, NPV is also helpful in determining the value of a stream of future cash flows. For example, if you are considering taking out a loan to purchase a car, you can calculate the NPV of the payments you will be making over the course of the loan, and then compare it to the present discounted value of purchasing the car with cash upfront.

When calculating the NPV, there are a few things to keep in mind. First, the discount rate you use should take into account the risk associated with the investment or opportunity. The riskier the investment or opportunity, the higher the discount rate. Second, the cash flows you use should be cash flows that you expect to receive, not hypothetical cash flows that may or may not happen. Finally, it’s important to remember that the further out in the future the cash flow occurs, the less valuable it is.

Related: Net Book Value calculator

## FAQs

### How do I calculate the present value?

Present values involve subtracting the cost of inflation from a future amount of money to find out what it would equate to in today’s dollars. You use a simple formula that multiplies the future amount by a “discount factor” derived from interest rates and time frames. The present value calculation is:

PV = FV / (1 + r)^n

Where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.

In other words, you figure out how much purchasing power the money will have at its given future point in time and then apply a discount rate to that number to discover its value currently.

### What is the present value of \$1000 five years from now at 10% interest?

The present value of \$1000 received five years from now at an interest rate of 10% can be calculated using the formula PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (\$1000 in this case), r is the interest rate (0.10 in this case), and n is the number of periods (5 in this case).

Plugging these values into the formula gives us: PV = 1000 / (1 + 0.10)^5 = \$620.99

So, the present value of \$1000 received five years from now at an interest rate of 10% is \$620.99.

### What is the present value of 1 million dollars in 40 years?

To calculate the present value of 1 million dollars received in 40 years, you need to know the interest rate at which the future value will be discounted. The present value formula is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (\$1 million in this case), r is the interest rate, and n is the number of periods (40 in this case).

If we assume the interest rate is 5%, we can calculate the present value of 1 million dollars received in 40 years using the formula PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (\$1 million in this case), r is the interest rate (0.05 in this case), and n is the number of periods (40 in this case).

Plugging these values into the formula gives us: PV = 1000000 / (1 + 0.05)^40 = \$142,046.16

So, the present value of 1 million dollars received in 40 years at an interest rate of 5% is \$142,046.16.

### What is the formula for PV and FV?

The formula for calculating the present value (PV) of a future sum of money is PV = FV / (1 + r)^n, where FV is the future value, r is the interest rate, and n is the number of periods between the present and future dates.

The formula for calculating the future values (FV) of a present sum of money is FV = PV * (1 + r)^n, where PV is the present value, r is the interest rate, and n is the number of periods between the present and future dates.

Both formulas allow you to determine the value of a sum of money at different points in time, taking into account the effects of interest and compounding.

Related: Future value calculator