Net Present Value Solution

STEP 0: Pre-Calculation Summary
Formula Used
Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x))
NPV = sum(x,1,T,(CF/(1+IRR)^x))
This formula uses 1 Functions, 4 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.
Time Period - (Measured in Year) - Time period is the concept that a business should report the financial results of its activities over a standard time period.
Cash Flow - Cash Flow, in general, refers to payments made into or out of a business, project, or financial product.
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.
STEP 1: Convert Input(s) to Base Unit
Time Period: 3 Year --> 3 Year No Conversion Required
Cash Flow: 2800 --> No Conversion Required
Internal Rate of Return: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NPV = sum(x,1,T,(CF/(1+IRR)^x)) --> sum(x,1,3,(2800/(1+0.3)^x))
Evaluating ... ...
NPV = 5085.11606736459
STEP 3: Convert Result to Output's Unit
5085.11606736459 --> No Conversion Required
FINAL ANSWER
5085.11606736459 5085.116 <-- Net Present Value
(Calculation completed in 00.004 seconds)

Credits

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Created by Kashish Arora
Satyawati College (DU), New Delhi
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Verified by Vishnu K
BMS College of Engineering (BMSCE), Bangalore
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23 Financial Accounting Calculators

DuPont Analysis
​ Go Return on Equity = (Net Income/Revenue)*(Revenue/Average Total Assets)*(Average Total Assets/Average Total Equity)
Internal Rate of Return
​ Go Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment
Net Operating Cycle
​ Go Net Operating Cycle = ((365/Purchases)*Average Inventory)+((365/Net Receivables)*Average Accounts Receivables)
Discount Lost
​ Go Discount Lost = (Discount Percentage/(100-Discount Percentage))*(365/(Final Payment Date-Last Discount Date))
Annual Equivalent Cost
​ Go Annual Equivalent Cost = (Asset Price*Discount Rate)/(1-(1+Discount Rate)^-Number of Periods)
Net Present Value
​ Go Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x))
Annual Percentage Yield
​ Go Annual Percentage Yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1
Effective Yield
​ Go Effective Yield = 1+(Nominal Rate/Number of Payments Per Year)^(Number of Payments Per Year)-1
Depletion Charge per Unit
​ Go Depletion Charge per Unit = (Original Cost-Residual Value)/Total Number of Units Depletion
Value of Stock
​ Go Value of Stock = Expected Dividend Per Share/(Cost of Capital Equity-Dividend Growth Rate)
Shareholders' Equity given Share Capital, Retained Earnings and Treasury Shares
​ Go Total Shareholders' Equity = Share Capital+Retained Earnings-Treasury Shares
Operating Cash Flow
​ Go Operating Cash Flow = Earnings Before Interest and Taxes+Depreciation-Taxes
EBITDA
​ Go EBITDA = Earnings Before Interest and Taxes+Depreciation+Amortization
Discount Percentage
​ Go Discount Percentage = ((List Price-Price Paid)/Price Paid)*100
Residual Value
​ Go Residual Value = (Cost of fixed asset-Scrap Rate)/Lifespan
Long term Debt to Equity ratio
​ Go Long Term Debt to Equity Ratio = Long Term Debt/Shareholders Fund
EBIT
​ Go Earnings Before Interest and Taxes = Revenue-Operating Expense
Depletion Expense
​ Go Depletion Expense = Depletion Charge per Unit*Units Consumed
Shareholders' Equity given Total Assets and Liabilities
​ Go Total Shareholders' Equity = Total Assets-Total Liabilities
Discount Factor
​ Go Discount Factor = 1/(1*(1+Discount Rate)^Number of Periods)
Discount given Discount Rate and List Price
​ Go Discount = Discount Rate*List Price
Discount given List Price and Price Paid
​ Go Discount = List Price-Price Paid
List Price
​ Go List Price = Price Paid+Discount

Net Present Value Formula

Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x))
NPV = sum(x,1,T,(CF/(1+IRR)^x))

What is Net Present Value?

Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time. NPV is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project.
NPV is the result of calculations that find the current value of a future stream of payments using the proper discount rate. In general, projects with a positive NPV are worth undertaking, while those with a negative NPV are not

How to Calculate Net Present Value?

Net Present Value calculator uses Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x)) to calculate the Net Present Value, The Net Present Value formula is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project. Net Present Value is denoted by NPV symbol.

How to calculate Net Present Value using this online calculator? To use this online calculator for Net Present Value, enter Time Period (T), Cash Flow (CF) & Internal Rate of Return (IRR) and hit the calculate button. Here is how the Net Present Value calculation can be explained with given input values -> 1906.919 = sum(x,1,94670856,(2800/(1+0.3)^x)).

FAQ

What is Net Present Value?
The Net Present Value formula is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project and is represented as NPV = sum(x,1,T,(CF/(1+IRR)^x)) or Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x)). Time period is the concept that a business should report the financial results of its activities over a standard time period, Cash Flow, in general, refers to payments made into or out of a business, project, or financial product & 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.
How to calculate Net Present Value?
The Net Present Value formula is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project is calculated using Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x)). To calculate Net Present Value, you need Time Period (T), Cash Flow (CF) & Internal Rate of Return (IRR). With our tool, you need to enter the respective value for Time Period, Cash Flow & Internal Rate of Return 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 Time Period, Cash Flow & Internal Rate of Return. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment
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