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NPV: Particle of Evidence Net Present Value Case Analysis
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Particle of Evidence Net Present Value (NPV) / MBA Resources

Introduction to Net Present Value (NPV) - What is Net Present Value (NPV) ? How it impacts financial decisions regarding project management?

NPV solution for Particle of Evidence case study


At Oak Spring University, we provide corporate level professional Net Present Value (NPV) case study solution. Particle of Evidence case study is a Harvard Business School (HBR) case study written by Allan Cohen, David Rothstein. The Particle of Evidence (referred as “Dangerous Accident” from here on) case study provides evaluation & decision scenario in field of Organizational Development. It also touches upon business topics such as - Value proposition, Conflict, Human resource management, Leadership, Organizational culture, Organizational structure.

The net present value (NPV) of an investment proposal is the present value of the proposal’s net cash flows less the proposal’s initial cash outflow. If a project’s NPV is greater than or equal to zero, the project should be accepted.

NPV = Present Value of Future Cash Flows LESS Project’s Initial Investment




Case Description of Particle of Evidence Case Study


The manager of a department that operates potentially dangerous equipment used to manufacture and alter highly dangerous gases is facing how to deal with the repercussions from an accident caused by one of his best operators that resulted in contamination of the building. The manager fears that the accident was the result of the operator smoking marijuana on the unsupervised night shift. He has to come to grips with his responsibilities and objectives as a manager and take steps to achieve them based on his knowledge and understanding of the situation.


Case Authors : Allan Cohen, David Rothstein

Topic : Organizational Development

Related Areas : Conflict, Human resource management, Leadership, Organizational culture, Organizational structure




Calculating Net Present Value (NPV) at 6% for Particle of Evidence Case Study


Years              Cash Flow     Net Cash Flow     Cumulative    
Cash Flow
Discount Rate
@ 6 %
Discounted
Cash Flows
Year 0 (10029313) -10029313 - -
Year 1 3472800 -6556513 3472800 0.9434 3276226
Year 2 3955971 -2600542 7428771 0.89 3520800
Year 3 3947122 1346580 11375893 0.8396 3314080
Year 4 3230727 4577307 14606620 0.7921 2559038
TOTAL 14606620 12670145


The Net Present Value at 6% discount rate is 2640832

In isolation the NPV number doesn't mean much but put in right context then it is one of the best method to evaluate project returns. In this article we will cover -

Different methods of capital budgeting


What is NPV & Formula of NPV,
How it is calculated,
How to use NPV number for project evaluation, and
Scenario Planning given risks and management priorities.




Capital Budgeting Approaches

Methods of Capital Budgeting


There are four types of capital budgeting techniques that are widely used in the corporate world –

1. Payback Period
2. Profitability Index
3. Internal Rate of Return
4. Net Present Value

Apart from the Payback period method which is an additive method, rest of the methods are based on Discounted Cash Flow technique. Even though cash flow can be calculated based on the nature of the project, for the simplicity of the article we are assuming that all the expected cash flows are realized at the end of the year.

Discounted Cash Flow approaches provide a more objective basis for evaluating and selecting investment projects. They take into consideration both –

1. Timing of the expected cash flows – stockholders of Dangerous Accident have higher preference for cash returns over 4-5 years rather than 10-15 years given the nature of the volatility in the industry.
2. Magnitude of both incoming and outgoing cash flows – Projects can be capital intensive, time intensive, or both. Dangerous Accident shareholders have preference for diversified projects investment rather than prospective high income from a single capital intensive project.




Formula and Steps to Calculate Net Present Value (NPV) of Particle of Evidence

NPV = Net Cash In Flowt1 / (1+r)t1 + Net Cash In Flowt2 / (1+r)t2 + … Net Cash In Flowtn / (1+r)tn
Less Net Cash Out Flowt0 / (1+r)t0

Where t = time period, in this case year 1, year 2 and so on.
r = discount rate or return that could be earned using other safe proposition such as fixed deposit or treasury bond rate. Net Cash In Flow – What the firm will get each year.
Net Cash Out Flow – What the firm needs to invest initially in the project.

Step 1 – Understand the nature of the project and calculate cash flow for each year.
Step 2 – Discount those cash flow based on the discount rate.
Step 3 – Add all the discounted cash flow.
Step 4 – Selection of the project

Why Organizational Development Managers need to know Financial Tools such as Net Present Value (NPV)?

In our daily workplace we often come across people and colleagues who are just focused on their core competency and targets they have to deliver. For example marketing managers at Dangerous Accident often design programs whose objective is to drive brand awareness and customer reach. But how that 30 point increase in brand awareness or 10 point increase in customer touch points will result into shareholders’ value is not specified.

To overcome such scenarios managers at Dangerous Accident needs to not only know the financial aspect of project management but also needs to have tools to integrate them into part of the project development and monitoring plan.

Calculating Net Present Value (NPV) at 15%

After working through various assumptions we reached a conclusion that risk is far higher than 6%. In a reasonably stable industry with weak competition - 15% discount rate can be a good benchmark.

Years              Cash Flow     Net Cash Flow     Cumulative    
Cash Flow
Discount Rate
@ 15 %
Discounted
Cash Flows
Year 0 (10029313) -10029313 - -
Year 1 3472800 -6556513 3472800 0.8696 3019826
Year 2 3955971 -2600542 7428771 0.7561 2991282
Year 3 3947122 1346580 11375893 0.6575 2595297
Year 4 3230727 4577307 14606620 0.5718 1847179
TOTAL 10453584


The Net NPV after 4 years is 424271

(10453584 - 10029313 )






Calculating Net Present Value (NPV) at 20%


If the risk component is high in the industry then we should go for a higher hurdle rate / discount rate of 20%.

Years              Cash Flow     Net Cash Flow     Cumulative    
Cash Flow
Discount Rate
@ 20 %
Discounted
Cash Flows
Year 0 (10029313) -10029313 - -
Year 1 3472800 -6556513 3472800 0.8333 2894000
Year 2 3955971 -2600542 7428771 0.6944 2747202
Year 3 3947122 1346580 11375893 0.5787 2284214
Year 4 3230727 4577307 14606620 0.4823 1558028
TOTAL 9483444


The Net NPV after 4 years is -545869

At 20% discount rate the NPV is negative (9483444 - 10029313 ) so ideally we can't select the project if macro and micro factors don't allow financial managers of Dangerous Accident to discount cash flow at lower discount rates such as 15%.



Acceptance Criteria of a Project based on NPV

Simplest Approach – If the investment project of Dangerous Accident has a NPV value higher than Zero then finance managers at Dangerous Accident can ACCEPT the project, otherwise they can reject the project. This means that project will deliver higher returns over the period of time than any alternate investment strategy.

In theory if the required rate of return or discount rate is chosen correctly by finance managers at Dangerous Accident, then the stock price of the Dangerous Accident should change by same amount of the NPV. In real world we know that share price also reflects various other factors that can be related to both macro and micro environment.

In the same vein – accepting the project with zero NPV should result in stagnant share price. Finance managers use discount rates as a measure of risk components in the project execution process.

Sensitivity Analysis

Project selection is often a far more complex decision than just choosing it based on the NPV number. Finance managers at Dangerous Accident should conduct a sensitivity analysis to better understand not only the inherent risk of the projects but also how those risks can be either factored in or mitigated during the project execution. Sensitivity analysis helps in –

What will be a multi year spillover effect of various taxation regulations.

What are the uncertainties surrounding the project Initial Cash Outlay (ICO’s). ICO’s often have several different components such as land, machinery, building, and other equipment.

What are the key aspects of the projects that need to be monitored, refined, and retuned for continuous delivery of projected cash flows.

What can impact the cash flow of the project.

Understanding of risks involved in the project.

Some of the assumptions while using the Discounted Cash Flow Methods –

Projects are assumed to be Mutually Exclusive – This is seldom the came in modern day giant organizations where projects are often inter-related and rejecting a project solely based on NPV can result in sunk cost from a related project.

Independent projects have independent cash flows – As explained in the marketing project – though the project may look independent but in reality it is not as the brand awareness project can be closely associated with the spending on sales promotions and product specific advertising.




References & Further Readings

Allan Cohen, David Rothstein (2018), "Particle of Evidence Harvard Business Review Case Study. Published by HBR Publications.