The Dynamics of Optimal Risk Sharing
We study a dynamic-contracting problem involving risk sharing between two parties — the Proposer and the Responder — who invest in a risky asset until an exogenous but random termination time. In any time period they must invest all their wealth in the risky asset, but they can share the underlying investment and termination risk. When the project ends they consume their final accumulated wealth. The Proposer and the Responder have constant relative risk aversion R and r respectively, with R > r > 0.