Project viability assessment through Net Present Value (NPV)

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Contents

Abstract

The Net Present Value (NPV) is a widely used financial metric in project management. Its purpose is to evaluate the profitability of a proposed project by aggregating the streams of costs and benefits into a single value. This makes for an effective indicator of identifying profitable projects when assessing multiple projects at a time. For a given project to be considered a profitable investment, its NPV must be larger than zero. [1]

Central to the calculation of the NPV is assigning varying weights, dependent on time, to the benefits and costs through the utilization of a so-called discount factor, which is calculated using a discount rate. The discount rate represents the rate of interest that is used to discount all future costs and benefits. [2] By incorporating this principle, the NPV accounts for and subscribes to the paradigm of the time value of money, referring to the idea that money has a different value at different points in time.[3]

This article explores central concepts connected to the calculation and application of NPV in the assessment of projects, programs, or portfolios. For demonstration purposes, an example of the calculation of an emulated project's NPV will be given. Moreover, the advantages and disadvantages of using NPV as an indicator of project profitability will be addressed.

NPV Formula

The following formula can be used to calculate the net present value (NPV):

NPV = \sum_{t=0}^{T}\frac{B_t-C_t}{(1+r)^t}

  • T: The calculation period of the project in years.
  • B_t

Time value of money

Brief explanation time value of money and how it relates to NPV

Discount rate

Succinct description of discount rate and it’s formula. Necessary to explain, to grasp the concept of NPV.

Financial Appraisal

Why do we make financial appraisals of projects, programs, and portfolios? Where do NPV fit?

Application and decision making

In the following paragraph, the application of NPV in regard to assessing the profitability of a project prior to commencing it will be outlined.

Example

A practical example on how to calculate the NPV of a construction project.

Advantages

Disadvantages

Annotated Bibliography

References

  1. Investopedia. (2023). Net Present Value (NPV): What It Means and Steps to Calculate It. Investopedia, 1–8. https://www.investopedia.com/terms/n/npv.asp
  2. Barfod, M. B., & Leleur, S. (2019). Decision Support and Strategic Assessment DTU Management Compendium.
  3. Gardner, N.D. 2004. The Time Value of Money: A Clarifying and Simplifying Approach. Journal of College Teaching & Learning (TLC). 1, 7 (Jul. 2004).
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