Trade-In Insurance and Rebate Design in a Product Upgrade and Recovery System with Financially Risk-Neutral Customers

This paper develops a two-period analytical model of trade-in insurance and rebate design in a product upgrade and recovery system with successive product generations. In standard trade-in programs, customers face uncertainty about future rebate eligibility because rebates depend on the condition of the used product at the upgrade stage. We study an optional insurance mechanism through which customers prepay a fixed fee and receive a guaranteed future trade-in rebate. Customers are financially risk-neutral, but insurance may generate a first-period non-monetary psychological benefit: once future rebate eligibility is guaranteed, customers can use the product during the first-period ownership stage with less anxiety about an unexpected failure eliminating their future trade-in opportunity. Under the baseline specification in which this psychological benefit increases with product valuation, trade-in insurance generates valuation-based customer segmentation among insured upgraders, uninsured trade-in customers, product keepers, delayed buyers, and non-buyers. This insured–uninsured single-crossing result extends to general increasing psychological-benefit functions, including concave forms. The model further shows that the insurance price and trade-in rebate should be coordinated because both instruments affect customer upgrade behavior, product sales, rebate obligations, return flows, and recovery value. When product innovation is sufficiently high, customers no longer keep functional used products, and the optimal insurance price and trade-in rebate become independent of innovation and durability. Compared with a standard trade-in program, optional trade-in insurance weakly improves manufacturer profit, while the economic magnitude of the gain depends on market and operational conditions.