Introduction to Pricing Analytics - The OR Society€¦ · 14/06/2019  · Introduction to Pricing...

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Introduction to Pricing Analytics London | 14 June 2019 Emma Murray

Transcript of Introduction to Pricing Analytics - The OR Society€¦ · 14/06/2019  · Introduction to Pricing...

Page 1: Introduction to Pricing Analytics - The OR Society€¦ · 14/06/2019  · Introduction to Pricing Analytics London | 14 June 2019 Emma Murray. 2 Structural Approach to Pricing Price

Introduction to Pricing Analytics

London | 14 June 2019

Emma Murray

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Structural Approach to Pricing

Price Strategy

Price Visibility Price Elasticity Price Optimisation

Price Execution

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An Example

A large consumer electronics retailer

wants to increase margins through

better pricing.

While televisions generate most of the

company’s revenue, TV pricing is highly

competitive.

Most of the company’s profits come from

the sale of extended service plans

(warranties).

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Some Strategic Questions

• What role does competitive

landscape play?

• Do you have the capability to vary

prices by region/store?

• Online versus Store pricing strategy?

• What is the impact of seasonality on

business performance?

• What is your current pricing

structure?

• How are pricing changes executed?

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Pricing KPIs for Success

Some good answers:

• Warranty Revenue

• Warranty Margin

• Warranty Cost

• Warranty Units

• Average Warranty Price

Some better answers:

• Warranty Units / TV Units [UPen]

• Warranty Rev / TV Rev [DPen]

• Warranty Profit / TV Units [CMPMUS]

• Avg Warranty Price / Avg TV Price [% Retail]

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Building a Predictive Model – The Data

The company informs you that their

system is set up so that warranties are

priced in tiers. Based on the price

range the television falls within, a set

warranty price is charged for all

warranties within that range.

You are asked to build a model for

televisions priced between $500 - $700.

Warranties are currently priced at $169.

How would you model the relationship

between price & quantity using the data

set shown here?

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Building a Predictive Model – Derive the Pricing KPI’s

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Building a Predictive Model – Construct a Demand Curve

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Building a Predictive Model – Validate the Results

𝑈𝑃𝑒𝑛 = 0.7567𝑒−6.508 ∗ %𝑅𝑒𝑡𝑎𝑖𝑙

Demand Curve:

Estimated UPen using the Demand Curve:

𝑃𝑟𝑒𝑑𝑖𝑐𝑡𝑒𝑑 𝑈𝑃𝑒𝑛 = 0.7567𝑒−6.508 ∗0.275

= 12.67%

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Optimisation: Solving for the Profit Optimal Price

𝜋𝑤 = 𝑤𝑎𝑟𝑟𝑎𝑛𝑡𝑦 𝑝𝑟𝑜𝑓𝑖𝑡

𝑈𝑤 = 𝑤𝑎𝑟𝑟𝑎𝑛𝑡𝑦 𝑢𝑛𝑖𝑡𝑠

𝑃𝑤 = 𝑤𝑎𝑟𝑟𝑎𝑛𝑡𝑦 𝑝𝑟𝑖𝑐𝑒

𝐶𝑤 = 𝑤𝑎𝑟𝑟𝑎𝑛𝑡𝑦 𝑐𝑜𝑠𝑡

𝑈𝑇𝑉 = 𝑇𝑉 𝑢𝑛𝑖𝑡𝑠

𝑃𝑇𝑉 = 𝑇𝑉 𝑝𝑟𝑖𝑐𝑒

𝐶𝑀𝑃𝑀𝑈𝑆 =𝜋𝑤

𝑈𝑇𝑉=

𝑈𝑤

𝑈𝑇𝑉(𝑃𝑤 - 𝐶𝑤) = UPen (𝑃𝑤 - 𝐶𝑤)

𝑈𝑃𝑒𝑛 = 𝛼𝑒𝛽(

𝑃𝑊𝑃𝑇𝑉

) Demand Curve

𝐶𝑀𝑃𝑀𝑈𝑆 = 𝛼𝑒𝛽(

𝑃𝑊𝑃𝑇𝑉

)(𝑃𝑤 - 𝐶𝑤)

𝜕 𝐶𝑀𝑃𝑀𝑈𝑆

𝜕 𝑃𝑊=

𝛼𝛽

𝑃𝑇𝑉𝑒𝛽

𝑃𝑊𝑃𝑇𝑉 𝑃𝑤 − 𝐶𝑤 + 𝛼𝑒

𝛽(𝑃𝑊𝑃𝑇𝑉

)(1)

= 𝛼𝑒𝛽(

𝑃𝑊𝑃𝑇𝑉

) 𝛽

𝑃𝑇𝑉𝑃𝑤 − 𝐶𝑤 + (1) = 0

𝛽

𝑃𝑇𝑉𝑃𝑤 − 𝐶𝑤 = -1

𝑃𝑤 = -𝑃𝑇𝑉

𝛽+ 𝐶𝑊

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Optimisation: Solving for the Profit Optimal Price

𝑃𝑤 = 𝑤𝑎𝑟𝑟𝑎𝑛𝑡𝑦 𝑝𝑟𝑖𝑐𝑒

𝐶𝑤 = 𝑤𝑎𝑟𝑟𝑎𝑛𝑡𝑦 𝑐𝑜𝑠𝑡

𝑃𝑇𝑉 = 𝑇𝑉 𝑝𝑟𝑖𝑐𝑒

𝑃𝑤 = -𝑃𝑇𝑉

𝛽+ 𝐶𝑊

𝑃𝑤 = -627.79

−6.508+ 102.23

𝑃𝑤 =198.69

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Conclusions

Price Strategy

Price Visibility Price Elasticity Price Optimisation

Price Execution

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Questions?

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Thank You

For any additional questions, please feel free to reach out to:

Emma [email protected]

+44 78251 44369

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