Just thought of writing my understanding as a blog. Would be delighted if someone found this useful.

Present Value or PV is the value of the investment in today's terms. It is the value of future cash flows of the project in today's dollars.

This is a discounted cash flow technique and one of the Benefit Measurement Methods under the Project Selection Methods tool and technique which is used for creating a Project Charter.

Ouch, that was quite long. To repeat, the Project Charter creation process uses a tool and technique called Project Selection Methods. One of the techniques under the Project Selection Method is Discounted Cash Flow which calculates Present Value.

The formula for calculating a Present Value is

PV = FV/(1 + i)^{n}

^{}where

PV - Present Value to be calculated

FV - Expected Future Cash inflow

i - Notional Interest or Expected Rate of Interest

Net Present Value:

This is another interesting twist to calculate the Net future income/future cash inflow of the project in today's dollars. There is no big difference or additional concept to remember here. This is just a sum of all the expected Present values subtracted by the investment. For example, if we assume that the following are the given values.

Invested Amount : $5,00,000

Income Expected (Future Value)- 1 Year : $200000

Income Expected (Future Value)- 2 Year : $300000

Income Expected (Future Value)- 3 Year : $100000

Rate of Interest : 5% per annum

Now calculate the Present value for every year with the Present Value (PV) formula.

Year | Future Value | Calculation | PV |

1 | $200000 | 2,00,000/(1 + .05) | 190476.2 |

2 | $300000 | 3,00,000/(1 + .05)^{2} | 272108.84 |

3 | $100000 | 3,00,000/(1 + .05)^{3} | 86383.76 |

Total NPV (For 3 years) = 5,48,968.8 | |||

NPV for the project = Total NPV (For 3 years) - Original Investment = 5,48,968.8 - $5,00,000 |

So the final NPV is 48,968.8.

And the formula for calculating the Net Present Value is,

NPV = PV_{1}+ PV_{2}+ PV_{3}.. + PV_{n}- Invested Amount

According to the theory of NPV if the calculation of NPV yields a positive value or more than zero, then it is expected to make profit. It can get a go recommendation if all other factors look good. Additional points to remember are like,

- NPV assumes that the cash flows are re-invested at the cost of capital. ie, the same interest rate
- If NPV calculation is greater than zero accept the project. Otherwise reject the project
- Another note is that projects with high returns early in the project are preferred over the ones with lower returns early in the project.

## 20 comments:

Thank you so much, it was really very helpful and very well defined

Yes, this was exactly the type of example I wanted to see to help me understand. Thanks!

Agreed. Very good example that helped a lot!

Gracias!

Thanks a lot, very easy to comprehend... I indeed found it very useful...

Thank for for the post.

I had confusion in PV, FV and NPV but your explanation cleared my doubt.

Thank you for the note.

I had been confused in PV, FV and NPV. your good explanation cleared my doubt.

Very helpful for my PMP exam preparation, thank you.

Thank you, this was very helpful for my PMP exam preparation.

Concept is very useful to understand. Thank you so much.

Great example, but found the solution a bit confusing--"5,48,968.8 - $5,00,000"? Are there 0's missing, or are the commas in the wrong place?

So helpful. Thanks

Very nice explanation. Thanks

Very nice explanation. Thanks

It is very helpful as defined so well in simple language and with simple examples . Thanks a lot

Very helpful thank you!

Thanks a lot...its really easy to understand...

Thank you! Came in handy!

WOW! I have been stuck on a NPV Practice question forever and using the breakdown you suggest, I finally got it!

Thank you!

struggled with this for last few days but this explains it! Thanks

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