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Paginas Amarelas 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 Paginas Amarelas case study


At Oak Spring University, we provide corporate level professional Net Present Value (NPV) case study solution. Paginas Amarelas case study is a Harvard Business School (HBR) case study written by Robert F. Bruner, Mario Wanderley. The Paginas Amarelas (referred as “Amarelas Paginas” from here on) case study provides evaluation & decision scenario in field of Finance & Accounting. It also touches upon business topics such as - Value proposition, Emerging markets, Financial analysis.

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 Paginas Amarelas Case Study


This is a Darden case study.This case serves as a foundation for student discussion of the estimation of required rates of return (ROR) on investments in emerging markets. An associate in J.P. Morgan's Latin America M&A department (mergers and acquisitions) is assigned the task of valuing the telephone directory operations ("paginas amarelas" means "yellow pages") of a large Brazilian conglomerate. All cash flows have been converted to U.S. dollars, and present values computed for various discount rates. The remaining step is to determine the appropriate target rate of returns for dollar flows originating in Argentina, Brazil, and Chile. The capital asset pricing model (CAPM) is used along with a political risk premium and country beta. The necessary figure work is comparatively light, leaving the student time to reflect on the need for various adjustments in estimating cross border rates of return.


Case Authors : Robert F. Bruner, Mario Wanderley

Topic : Finance & Accounting

Related Areas : Emerging markets, Financial analysis




Calculating Net Present Value (NPV) at 6% for Paginas Amarelas Case Study


Years              Cash Flow     Net Cash Flow     Cumulative    
Cash Flow
Discount Rate
@ 6 %
Discounted
Cash Flows
Year 0 (10029513) -10029513 - -
Year 1 3457075 -6572438 3457075 0.9434 3261392
Year 2 3970279 -2602159 7427354 0.89 3533534
Year 3 3937633 1335474 11364987 0.8396 3306113
Year 4 3243631 4579105 14608618 0.7921 2569260
TOTAL 14608618 12670298




The Net Present Value at 6% discount rate is 2640785

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

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






Formula and Steps to Calculate Net Present Value (NPV) of Paginas Amarelas

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 Finance & Accounting 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 Amarelas Paginas 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 Amarelas Paginas 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 (10029513) -10029513 - -
Year 1 3457075 -6572438 3457075 0.8696 3006152
Year 2 3970279 -2602159 7427354 0.7561 3002101
Year 3 3937633 1335474 11364987 0.6575 2589058
Year 4 3243631 4579105 14608618 0.5718 1854557
TOTAL 10451868


The Net NPV after 4 years is 422355

(10451868 - 10029513 )








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 (10029513) -10029513 - -
Year 1 3457075 -6572438 3457075 0.8333 2880896
Year 2 3970279 -2602159 7427354 0.6944 2757138
Year 3 3937633 1335474 11364987 0.5787 2278723
Year 4 3243631 4579105 14608618 0.4823 1564251
TOTAL 9481008


The Net NPV after 4 years is -548505

At 20% discount rate the NPV is negative (9481008 - 10029513 ) so ideally we can't select the project if macro and micro factors don't allow financial managers of Amarelas Paginas 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 Amarelas Paginas has a NPV value higher than Zero then finance managers at Amarelas Paginas 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 Amarelas Paginas, then the stock price of the Amarelas Paginas 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 Amarelas Paginas 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 are the key aspects of the projects that need to be monitored, refined, and retuned for continuous delivery of projected cash flows.

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

Understanding of risks involved in the project.

What can impact the cash flow of 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.






Negotiation Strategy of Paginas Amarelas

References & Further Readings

Robert F. Bruner, Mario Wanderley (2018), "Paginas Amarelas Harvard Business Review Case Study. Published by HBR Publications.


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