Datametri Logo
01
Demand Price Elasticity and Revenue Optimization Curves
Price Elasticity Optimization Curve
"The Asymmetrical Effect of Price Changes on Sales Volume and Revenue Maximization"

Increasing the price of a product increases profit per unit but decreases total sales volume. Finding the balance between these two opposing forces is the fundamental problem of microeconomics. This model plots the relationship between price and demand not as a simple ratio, but as a continuous curve using a log-linear function.

The Power that Distinguishes This Analysis: While traditional approaches focus solely on sales volume; this model, with its Dual-Axis structure, collides demand and total revenue in the same space. By finding the peak of the revenue parabola through derivative calculations, it identifies the "Optimum Price Point" (Maximum Revenue) which is completely mathematical, not theoretical.

Which Questions Does This Analysis Answer?
  • If we increase our price by 10%, what will our volumetric loss be, and will this loss increase our total revenue or collapse it?
What Could Be the Added Value to the Researcher?
  • Provides an evidence-based map showing exactly at which price point one should stop depending on the company's growth strategy (gaining Market Share vs. maximizing Profitability).
Demand Price Elasticity and Revenue Optimization
As price rises, the probability of purchase falls (Log-linear demand). But what is truly critical is the parabola formed by the revenue curve. The model mathematically points to the "Maximum Revenue Point" where the product of price and quantity reaches its highest point.
02
Brand Price Trade-Off Analysis (BPTO)
BPTO Analysis Tipping Point
"The Resilience of Brand Loyalty Against a Premium Price Compared to Competitors"

Brand Equity is not an abstract measurement of love; it is the very money the customer pulls extra out of their wallet not to go to a competitor. BPTO analysis measures how long and against what magnitude of price difference (premium) your brand can resist competitors' price cuts. It doesn't ask consumers directly if they like the brand; it puts them in a realistic competitive scenario. The algorithm systematically drops competitor prices and step-by-step detects that critical "Tipping Point" where the customer abandons your brand.

Which Questions Does This Analysis Answer?
  • How much does our most aggressive competitor in the market have to drop their price before our loyal customer base starts to dissolve and shift to the competitor?
Added Value to the Researcher:
  • Instead of responding to competitor discount campaigns with panic, it allows you to protect your profits by knowing that "margin of elasticity" where your market share is safe.
Brand Price Trade-Off Analysis
Shows what premium price advantage your brand has against competitors at different price points, and where brand loyalty breaks (cross elasticity).
03
Gabor-Granger Direct Pricing Model
Gabor-Granger Price Laddering
"Measurement of Purchase Probability Over a Price Ladder"

It is a classic and powerful method used especially in pricing innovative products (NPD) that will newly enter the market. By presenting consumers with sequential price points (price laddering) for a specific product, it calculates the probability of "Definitely Would Buy" at each level.

Its Power: Dynamically tests the threshold of Maximum Willingness to Pay (WTP) in the consumer's mind for the relevant product. It translates the declining demand curve at each step into a revenue index by multiplying it with the price.

Which Questions Does This Analysis Answer?
  • What is the maximum ceiling price consumers will accept for this innovative product we are about to launch?
Added Value to the Researcher:
  • In launch pricing, it eliminates the risks of "selling too cheap and lowering perceived value" and "selling too expensive and remaining on the shelf".
Gabor-Granger Pricing Model
As one climbs the price ladder, it shows the decline in the number of customers accepting that price. The Revenue curve finds the optimal hook that will bring the highest turnover.
04
Hedonic Pricing Model (Econometric Revealed Preference)
Hedonic Pricing Shadow Price
"The Hidden Monetary Value of Product Features Based on Real Market Data"

Traditional market research works via surveys (Stated Preference). Hedonic models, however, analyze the actual shelf prices of thousands of products in the field and the features on their packaging (Big Data) using Multiple Linear (OLS) or Lasso Regression.

The Main Difference: It doesn't ask the consumer anything. It solves the market's own dynamics. For instance, it proves via actual sales data as a "Shadow Price" that the term "Organic" or "Glass Packaging" on a product label adds a net value of "+12.50 ₺" to the shelf price.

Which Questions Does This Analysis Answer?
  • While optimizing costs, if we remove feature "X" from our product, how much of a monetary loss will we experience in our shelf price and market perception?
Added Value to the Researcher:
  • Optimizes product development budgets by providing the mathematical equivalent on the final price tag for every new formula or feature to be added in the R&D laboratory.
Hedonic Pricing Shadow Price Analysis
The model output proves the net contribution of each product feature in the market database to the shelf price (premium) via regression coefficients (shadow price).
05
Probability-Integrated Van Westendorp Price Sensitivity Meter (PSM)
Van Westendorp Optimum Price
"'Value' Boundaries in Consumer Perception and Ideal Price Range Intersections"

Price is not just an economic figure, but a powerful psychological signal. The Van Westendorp (Price Sensitivity Meter) determines that psychological confidence interval between the point where a product is so cheap it is perceived as "poor quality" and the point where it is so expensive it feels like a "robbery".

Our Difference: While standard PSM draws only 4 intersection lines; we also integrate "Probability of Purchase" data into the model. Thus, we offer an expanded algorithm that shows not only the price the consumer finds "fair," but also the "Optimum Price Point" (OPP) that will generate the most cash inflow for the brand.

Which Questions Does This Analysis Answer?
  • In consumer perception, at exactly what monetary values do the lowest "quality barrier" and the highest "expensiveness barrier" acceptable by the market begin?
Added Value to the Researcher:
  • Determines the safest floor price the brand can drop to during promotion and discount periods without getting caught in a perception of cheapness.
Van Westendorp PSM Intersections
The graph displays the intersections of the Too Cheap, Cheap, Expensive, and Too Expensive cumulative curves. The cross intersection points clearly bound the Range of Acceptable Prices and Indifference Point values.
06
Choice-Based Conjoint Analysis (CBC) and Multidimensional Utility Modeling
Hierarchical Bayes Discrete Choice
"Price Elasticity and Willingness to Pay (WTP) Simulations via Discrete Choice Experiments"

Conjoint Analysis is the gold standard of pricing science in market research. Instead of asking consumers about product features in isolation; it presents them with alternative packages featuring different combinations of prices and features, just as if they were on a real competitive market shelf. It algorithmically decomposes the consumer's "implicit preferences" (Discrete Choice).

Our model rejects deterministic market averages. Using Hierarchical Bayes (HB) estimation and Markov Chain Monte Carlo (MCMC) iterations, it runs tens of thousands of simulations and creates a heterogeneous "Part-Worth Utility" matrix for each individual.

6.1. Relative Importance Weights of Key Attributes

It does not directly ask consumers "How important is price to you?". It algorithmically calculates the relative importance levels of features based on the actual "trade-off" behaviors the consumer makes on screen.

Added Value to the Researcher

Reveals with statistical certainty the most critical "Value Proposition" that needs to be emphasized in communication strategies and advertising copy.

Relative Importance Weights of Key Attributes

6.2. Marginal Willingness to Pay (WTP) Valuation

By calculating the Marginal Rate of Substitution between feature utility coefficients and price coefficients; it mathematically extracts the exact monetary equivalent ($/€) of a product feature (e.g., "Organic Certificate") in the eyes of the consumer. Saves R&D teams from the waste of "over-engineering".

Marginal Willingness to Pay (WTP) Valuation

6.3. Needs-Based Conjoint Segmentation

It clusters consumers (via Latent Class Analysis) not by age or gender, but directly according to the utility coefficients obtained from the Hierarchical Bayes model. Demographics may lie, but trade-off metrics do not. It divides the market's heterogeneous structure by creating profitability-focused niche target audiences.

Needs-Based Conjoint Segmentation

6.4. CBC Simulator-Based Dynamic Price Sensitivity Curve

It does not measure price elasticity in a vacuum (isolated). While competitors' current product features and prices are held constant in the simulator, it draws a dynamic sensitivity curve showing how market share (Share of Preference) melts away to competitors when only your brand's price is increased.

Which Questions Does This Analysis Answer?

Under current competitive conditions, how much can we increase our price before consumers enter the "elastic breaking" zone and suddenly start defecting to Competitor A?

CBC Dynamic Price Sensitivity Curve
07
Competitive Market Share Simulator (What-If Scenarios) and Interactive Model
Market Simulator What-If Scenarios
"The Dynamic Impact of Pricing and Innovation Strategies on Market Share"

It is the transformation of massive data obtained from all advanced pricing and Bayesian models into an interactive "Simulator" that company boards can use directly. By pulling the data out of a static report format; it converts it into a dynamic strategic decision support module where you can test your brand's future market scenarios taking absolutely no financial risk.

Its Strength: The algorithm accepts the current product range of every player in the market as a baseline. It models probability distributions via "Randomized First Choice" (RFC) or "Share of Preference" algorithms, instantly calculates possible scenarios, and predicts competitors' counter-moves.

Which Strategic Questions Does It Answer?
  • Price Competition: If we increase our product price by 10% and our main competitor drops theirs by 5%, how will market share distribution shape up?
  • Value Perception: If we add "Glass Packaging" to our new product and increase the price by 15%, can our audience tolerate this added value?
  • Cannibalization: Will our new "Premium" variant take share from competitors, or will it eat into the sales of our own sub-segment product?
Interactive Excel Market Simulator Integration:

At Datametri, we deliver our HB estimation algorithms to your institution integrated into a corporate Excel Simulator at the end of the project. Your Marketing and Finance managers can instantly change market parameters using drop-down menus during board meetings and simulate the market share and revenue impact of any scenario in seconds.

What-If Excel Market Simulator

Let's Model Your Optimum Price Together

Contact us to measure the "true monetary value" consumers will attach to your brand and test pricing scenarios that will maximize your profitability.