How Does Risk Hedging Impact Operations? Insights from a Price-Setting Newsvendor Model

TL;DR

This paper develops an analytical model integrating risk hedging into a price-setting newsvendor framework, revealing how hedging influences optimal pricing, production, and risk-return trade-offs in demand-sensitive industries.

Contribution

It introduces a novel analytical approach to combine financial risk hedging with operational decision-making in a newsvendor setting, providing explicit strategies and insights.

Findings

Hedging generally lowers optimal price and VPQ when targeting maximum expected profit.

Hedging reduces risk substantially with minimal profit reduction.

The model constructs an efficient frontier illustrating the return-risk trade-off.

Abstract

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.