This thesis studies the newsvendor problem under three progressively richer frameworks: risk-neutral, risk-averse, and financially hedged. Under risk neutrality, the optimal order quantity is determined by the classical critical fractile. Introducing risk aversion via a mean-variance objective yields a strictly lower optimal order, with conservatism increasing monotonically in the risk aversion parameter. The central contribution is a characterization of when financial hedging, through a traded asset correlated with demand, recovers this conservatism. We show that comonotonicity of demand and the underlying asset, combined with an appropriately structured hedge payoff, is sufficient to raise the optimal order above the risk-averse benchmark, and derive explicit conditions under which it may also exceed the risk-neutral optimum. Results are illustrated with uniform and exponential demand examples.

This thesis studies the newsvendor problem under three progressively richer frameworks: risk-neutral, risk-averse, and financially hedged. Under risk neutrality, the optimal order quantity is determined by the classical critical fractile. Introducing risk aversion via a mean-variance objective yields a strictly lower optimal order, with conservatism increasing monotonically in the risk aversion parameter. The central contribution is a characterization of when financial hedging, through a traded asset correlated with demand, recovers this conservatism. We show that comonotonicity of demand and the underlying asset, combined with an appropriately structured hedge payoff, is sufficient to raise the optimal order above the risk-averse benchmark, and derive explicit conditions under which it may also exceed the risk-neutral optimum. Results are illustrated with uniform and exponential demand examples.

How Does Finance Enhance Operations?

SANYAOLU, DANIEL OLAJIDE
2025/2026

Abstract

This thesis studies the newsvendor problem under three progressively richer frameworks: risk-neutral, risk-averse, and financially hedged. Under risk neutrality, the optimal order quantity is determined by the classical critical fractile. Introducing risk aversion via a mean-variance objective yields a strictly lower optimal order, with conservatism increasing monotonically in the risk aversion parameter. The central contribution is a characterization of when financial hedging, through a traded asset correlated with demand, recovers this conservatism. We show that comonotonicity of demand and the underlying asset, combined with an appropriately structured hedge payoff, is sufficient to raise the optimal order above the risk-averse benchmark, and derive explicit conditions under which it may also exceed the risk-neutral optimum. Results are illustrated with uniform and exponential demand examples.
2025
How Does Finance Enhance Operations?
This thesis studies the newsvendor problem under three progressively richer frameworks: risk-neutral, risk-averse, and financially hedged. Under risk neutrality, the optimal order quantity is determined by the classical critical fractile. Introducing risk aversion via a mean-variance objective yields a strictly lower optimal order, with conservatism increasing monotonically in the risk aversion parameter. The central contribution is a characterization of when financial hedging, through a traded asset correlated with demand, recovers this conservatism. We show that comonotonicity of demand and the underlying asset, combined with an appropriately structured hedge payoff, is sufficient to raise the optimal order above the risk-averse benchmark, and derive explicit conditions under which it may also exceed the risk-neutral optimum. Results are illustrated with uniform and exponential demand examples.
Risk Management
Mean-Variance Model
Operational Finance
Insurance Impact
File in questo prodotto:
File Dimensione Formato  
Thesis_Presentation.pdf

accesso aperto

Dimensione 137.88 kB
Formato Adobe PDF
137.88 kB Adobe PDF Visualizza/Apri

The text of this website © Università degli studi di Padova. Full Text are published under a non-exclusive license. Metadata are under a CC0 License

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/104349