We study an equilibrium-based continuous asset pricing problem for the securities market. In the previous work [16], we have shown that a certain price process, which is given by the solution to a forward backward stochastic differential equation of conditional McKean-Vlasov type, asymptotically...

A famous crypto-currency “Bitcoin” was invented in 2009. Since then, we have observed dramatic fluctuation of its price due to the nature of crypto-currency. In other words, the level of the fluctuation seems totally different from the ordinary financial assets like equities, interest rates...

This paper considers a multi-agent optimal investment problem with conservative sentiments in an incomplete market by a BSDE approach. Particularly, we formulate the conservative sentiments of the agents by a sup-inf/inf-sup problem where we take infimum on a choice of a probability measure and...

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 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