Internal Rate of Return Solution

STEP 0: Pre-Calculation Summary
Formula Used
Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment
NPV = sum(x,0,n,((CFn/(1+IRR)^x)))-IIT
This formula uses 1 Functions, 5 Variables
Functions Used
sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)
Variables Used
Net Present Value - Net Present Value is a method of determining the current value of all future cash flows generated by a project after accounting for the initial capital investment.
Number of Periods - Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.
Cashflow at End Period - Cashflow at End Period refers to the timing of cash inflows or outflows in a financial analysis.
Internal Rate of Return - Internal Rate of Return is a critical concept in capital budgeting that represents the discount rate at which the net present value (NPV) of all cash flows from a project equals zero.
Initial Investment - Initial Investment is the amount required to start a business or a project.
STEP 1: Convert Input(s) to Base Unit
Number of Periods: 2 --> No Conversion Required
Cashflow at End Period: 3000 --> No Conversion Required
Internal Rate of Return: 0.3 --> No Conversion Required
Initial Investment: 2000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NPV = sum(x,0,n,((CFn/(1+IRR)^x)))-IIT --> sum(x,0,2,((3000/(1+0.3)^x)))-2000
Evaluating ... ...
NPV = 5082.84023668639
STEP 3: Convert Result to Output's Unit
5082.84023668639 --> No Conversion Required
FINAL ANSWER
5082.84023668639 5082.84 <-- Net Present Value
(Calculation completed in 00.020 seconds)

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Internal Rate of Return Formula

​LaTeX ​Go
Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment
NPV = sum(x,0,n,((CFn/(1+IRR)^x)))-IIT

What is Internal Rate of Return?

Internal Rate of Return (IRR) is a financial metric used to evaluate the profitability of an investment or project. It represents the discount rate at which the net present value (NPV) of all cash flows (both positive and negative) from the investment equals zero.
In simpler terms, IRR is the interest rate at which the net present value of all cash flows from an investment equals the initial investment. It helps in comparing different investment opportunities by providing a standardized measure of their potential returns.
Here's how IRR is typically used:
Calculation: To calculate the IRR, you would typically set up an equation where the sum of the present values of all cash flows equals zero and solve for the rate of return. This can be done using numerical methods such as trial and error, or more advanced methods such as the Newton-Raphson method.

How to Calculate Internal Rate of Return?

Internal Rate of Return calculator uses Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment to calculate the Net Present Value, The Internal Rate of Return formula is defined as a financial metric used to evaluate the profitability of an investment or project. It represents the discount rate at which the net present value (NPV) of future cash flows equals zero. Net Present Value is denoted by NPV symbol.

How to calculate Internal Rate of Return using this online calculator? To use this online calculator for Internal Rate of Return, enter Number of Periods (n), Cashflow at End Period (CFn), Internal Rate of Return (IRR) & Initial Investment (IIT) and hit the calculate button. Here is how the Internal Rate of Return calculation can be explained with given input values -> 5082.84 = sum(x,0,2,((3000/(1+0.3)^x)))-2000.

FAQ

What is Internal Rate of Return?
The Internal Rate of Return formula is defined as a financial metric used to evaluate the profitability of an investment or project. It represents the discount rate at which the net present value (NPV) of future cash flows equals zero and is represented as NPV = sum(x,0,n,((CFn/(1+IRR)^x)))-IIT or Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment. Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate, Cashflow at End Period refers to the timing of cash inflows or outflows in a financial analysis, Internal Rate of Return is a critical concept in capital budgeting that represents the discount rate at which the net present value (NPV) of all cash flows from a project equals zero & Initial Investment is the amount required to start a business or a project.
How to calculate Internal Rate of Return?
The Internal Rate of Return formula is defined as a financial metric used to evaluate the profitability of an investment or project. It represents the discount rate at which the net present value (NPV) of future cash flows equals zero is calculated using Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment. To calculate Internal Rate of Return, you need Number of Periods (n), Cashflow at End Period (CFn), Internal Rate of Return (IRR) & Initial Investment (IIT). With our tool, you need to enter the respective value for Number of Periods, Cashflow at End Period, Internal Rate of Return & Initial Investment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Net Present Value?
In this formula, Net Present Value uses Number of Periods, Cashflow at End Period, Internal Rate of Return & Initial Investment. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x))
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