风险对冲如何影响运营?来自定价报童模型的见解
How Does Risk Hedging Impact Operations? Insights from a Price-Setting Newsvendor Model
AI总结:
本研究构建了将金融风险对冲整合进定价报童模型的通用框架,解析求解最优对冲策略,发现对冲在特定条件下降低最优价格和虚拟生产数量,并通过汽车制造商数据验证其能以小幅运营利润损失大幅降低风险。
摘要:
如果金融资产的价格变动影响企业的产品需求,企业可以通过调整其运营决策来应对该影响。例如,在汽车行业,当油价上涨时,汽车制造商降低高油耗汽车的售价。同时,企业可以将金融资产的风险对冲策略与其运营决策联合实施。受此启发,我们开发并求解了一个将风险对冲整合到定价报童模型中的通用风险管理模型。最优对冲策略通过解析方法计算得出,从而得到一个用于优化价格和“虚拟生产数量”(VPQ)的显式目标函数。(后者决定服务水平,即需求满足概率。)我们发现,当企业将目标平均收益设定为仅生产时的最大期望利润时,对冲通常会降低最优价格。在相同的目标平均收益条件下,当资产价格趋势对产品需求产生正向影响时,对冲也会降低最优VPQ;同时,当影响为负向时,对冲可能使VPQ小幅增加。我们构建了刻画最优收益-风险权衡的收益-风险有效前沿。我们使用一家知名汽车制造商的数据进行的数值研究表明,在我们的模型下,价格的下调和VPQ的减少幅度较小,且对冲策略在不大幅降低运营利润的情况下显著降低了风险。
英文摘要:
If a financial asset's price movement impacts a firm's product demand, the firm can respond to the impact by adjusting its operational decisions. For example, in the automotive industry, car makers decrease the selling prices of fuel-inefficient cars when the oil price rises. Meanwhile, the firm can implement a risk-hedging strategy using the financial asset jointly with its operational decisions. Motivated by this, we develop and solve a general risk-management model integrating risk hedging into a price-setting newsvendor. The optimal hedging strategy is calculated analytically, which leads to an explicit objective function for optimizing price and ``virtual production quantity'' (VPQ). (The latter determines the service level, i.e., the demand fulfillment probability.) We find that hedging generally reduces the optimal price {when the firm sets the target mean return as its production-only maximum expected profit. With the same condition on the target mean return}, hedging also reduces the optimal VPQ when the asset price trend positively impacts product demand; meanwhile, it may increase the VPQ by a small margin when the impact is negative. We construct the return-risk efficient frontier that characterizes the optimal return-risk trade-off. Our numerical study using data from a prominent automotive manufacturer shows that the markdowns in price and reduction in VPQ are small under our model and that the hedging strategy substantially reduces risk without materially reducing operational profit.
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