Design of Price and Advertising Elasticity Models 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 Design of Price and Advertising Elasticity Models case study

At Oak Spring University, we provide corporate level professional Net Present Value (NPV) case study solution. Design of Price and Advertising Elasticity Models case study is a Harvard Business School (HBR) case study written by Rajkumar Venkatesan, Paul W. Farris. The Design of Price and Advertising Elasticity Models (referred as “Elasticity Maximized” from here on) case study provides evaluation & decision scenario in field of Sales & Marketing. It also touches upon business topics such as - Value proposition, Pricing.

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 Design of Price and Advertising Elasticity Models Case Study

The marketing mix that a manager may deploy can affect the sales of a product and can be categorized under the traditional four Ps of marketing (product, price, promotion, and placement). But the perennial question managers face concerns the combination of these different marketing mix variables that will give them maximized sales, highest share, lowest inventory, or maximized margins. Quite often, these questions are answered by historical data: for example, past sales or market share for different levels of expenditures on these marketing mix variables. In this note, we consider the design of models that allow managers to obtain robust price and advertising elasticity estimates.

Case Authors : Rajkumar Venkatesan, Paul W. Farris

Topic : Sales & Marketing

Related Areas : Pricing

Calculating Net Present Value (NPV) at 6% for Design of Price and Advertising Elasticity Models Case Study

Years              Cash Flow     Net Cash Flow     Cumulative    
Cash Flow
Discount Rate
@ 6 %
Cash Flows
Year 0 (10017863) -10017863 - -
Year 1 3461851 -6556012 3461851 0.9434 3265897
Year 2 3954677 -2601335 7416528 0.89 3519648
Year 3 3960628 1359293 11377156 0.8396 3325420
Year 4 3233474 4592767 14610630 0.7921 2561214
TOTAL 14610630 12672180

The Net Present Value at 6% discount rate is 2654317

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. Internal Rate of Return
2. Profitability Index
3. Payback Period
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. Magnitude of both incoming and outgoing cash flows – Projects can be capital intensive, time intensive, or both. Elasticity Maximized 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 Elasticity Maximized 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 Design of Price and Advertising Elasticity Models

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 Sales & Marketing 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 Elasticity Maximized 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 Elasticity Maximized 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 %
Cash Flows
Year 0 (10017863) -10017863 - -
Year 1 3461851 -6556012 3461851 0.8696 3010305
Year 2 3954677 -2601335 7416528 0.7561 2990304
Year 3 3960628 1359293 11377156 0.6575 2604177
Year 4 3233474 4592767 14610630 0.5718 1848749
TOTAL 10453536

The Net NPV after 4 years is 435673

(10453536 - 10017863 )

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 %
Cash Flows
Year 0 (10017863) -10017863 - -
Year 1 3461851 -6556012 3461851 0.8333 2884876
Year 2 3954677 -2601335 7416528 0.6944 2746303
Year 3 3960628 1359293 11377156 0.5787 2292030
Year 4 3233474 4592767 14610630 0.4823 1559353
TOTAL 9482562

The Net NPV after 4 years is -535301

At 20% discount rate the NPV is negative (9482562 - 10017863 ) so ideally we can't select the project if macro and micro factors don't allow financial managers of Elasticity Maximized 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 Elasticity Maximized has a NPV value higher than Zero then finance managers at Elasticity Maximized 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 Elasticity Maximized, then the stock price of the Elasticity Maximized 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 Elasticity Maximized 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 can impact the cash flow of the project.

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.

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

Rajkumar Venkatesan, Paul W. Farris (2018), "Design of Price and Advertising Elasticity Models Harvard Business Review Case Study. Published by HBR Publications.