This article presents an equilibrium-based multi-agent optimal consumption and portfolio problem incorporating sentiments, where multiple agents have heterogeneous (optimistic, pessimistic, neutral) views on fundamental risks represented by Brownian motions.Each agent maximizes its expected...

This paper proposes a new hedging scheme of European derivatives under uncertain volatility environments, in which a weighted variance swap called the polynomial variance swap is added to the Black-Scholes delta hedging for managing exposure to volatility risk. In general, under these...

This supplementary file provides details in the proof of Theorem 3 in Section 3, an example of the stochastic process satisfying Assumptions 3 and 4, and proofs for the propositions and the lemma in Sections 3 and 6