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Measuring Opportunity Cost with Stock Lifetime Value

Author

Listed:
  • Geoffrey Decrouez
  • Tobias Huelden
  • Paresh Nakhe
  • Dominik Prugger

Abstract

Measuring the long-term opportunity cost of interventions remains a critical challenge in e-commerce A/B testing. While strategic levers (such as dynamic pricing, ranking algorithms, and promotional campaigns) trigger shifts in consumer behaviour that persist over months, operational constraints necessitate fast decision-making cycles that are typically limited to weekly experimental windows. Standard metrics like revenue and conversion are inherently short-sighted, biasing decisions toward immediate gains. We introduce Stock Lifetime Value (SLV), a stock-centric metric that captures long-term opportunity cost within short experiments by aggregating expected profit from current inventory through the end of its selling lifecycle. We develop the methodology in the context of fashion e-commerce at Zalando, where stock constraints and seasonal lifecycles make the trade off between short-term and long-term outcomes particularly relevant. SLV aggregates the expected profit from current inventory through the end of its selling lifecycle, providing a way to evaluate interventions against their true profit impact. We discuss three applications: (a) SLV efficiency as a metric for article-level and customer-level A/B tests, validated against realized 18-month lifecycle outcomes; (b) SLV as an optimization target for pricing algorithms, aligning the metric used for measurement with the objective used for decision-making; and (c) a framework for annualizing treatment effects into financial reporting metrics required by business stakeholders. While our empirical setting is fashion retail, the framework applies broadly to any inventory-constrained environment where value decays over time or interventions shift demand across periods.

Suggested Citation

  • Geoffrey Decrouez & Tobias Huelden & Paresh Nakhe & Dominik Prugger, 2026. "Measuring Opportunity Cost with Stock Lifetime Value," Papers 2607.01905, arXiv.org.
  • Handle: RePEc:arx:papers:2607.01905
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    References listed on IDEAS

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    1. Manuel Kunz & Stefan Birr & Mones Raslan & Lei Ma & Tim Januschowski, 2023. "Deep Learning Based Forecasting: A Case Study from the Online Fashion Industry," Palgrave Advances in Economics of Innovation and Technology, in: Mohsen Hamoudia & Spyros Makridakis & Evangelos Spiliotis (ed.), Forecasting with Artificial Intelligence, chapter 0, pages 279-311, Palgrave Macmillan.
    2. Peter S. Fader & Bruce G. S. Hardie & Ka Lok Lee, 2005. "“Counting Your Customers” the Easy Way: An Alternative to the Pareto/NBD Model," Marketing Science, INFORMS, vol. 24(2), pages 275-284, August.
    3. Matthias Ehrgott, 2005. "Multicriteria Optimization," Springer Books, Springer, edition 0, number 978-3-540-27659-3, March.
    4. Huelden, Tobias & Jascisens, Vitalijs & Roemheld, Lars & Werner, Tobias, 2024. "Human-machine interactions in pricing: Evidence from two large-scale field experiments," DICE Discussion Papers 412, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
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