The value of bidirectional option contracts on the multi-period ordering under inflation

Nana Wan, Xiaozhi Wu
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Abstract

This paper considers the rising market price and the time varying demand caused by the inflation. To manage these above risks, the retailer has an opportunity to place two different types of orders, viz., the firm order and the bidirectional options order, from the supplier in each period. This paper formulates a periodic-review inventory model for the retailer with bidirectional option contracts under inflation. Based on stochastic dynamic programming, this paper studies the structure of the optimal ordering policy in each period. Then this paper provides an approximation to evaluate the corresponding policy parameters. By taking the case without bidirectional option contracts as a benchmark, this paper demonstrates that the utilization of bidirectional option contracts might prompt the retailer to enhance the service level and improve the performance.
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通货膨胀条件下的多期订单下双向期权的价值契约
本文考虑了市场价格上涨和通货膨胀引起的时变需求。为了管理上述风险,零售商有机会在每个时期向供应商下两种不同类型的订单,即确定订单和双向期权订单。本文建立了通货膨胀条件下具有双向期权合约的零售商的定期回顾库存模型。基于随机动态规划,研究了各时段最优排序策略的结构。然后给出了一个近似的方法来估计相应的策略参数。本文以没有双向期权契约的情况为基准,论证了使用双向期权契约可以促使零售商提高服务水平,提高绩效。
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