Persistent Private Information
研究了风险厌恶者向风险中性贷款人借款以稳定收入的保险问题，发现最优合约依赖于报告禀赋及两个状态变量，且持久性私人信息会导致效率损失随持久性增加而增大。
This paper studies the design of optimal contracts in dynamic environments where agents have private information that is persistent.In particular, I focus on a continuous time version of a benchmark insurance problem where a risk averse agent would like to borrow from a risk neutral lender to stabilize his income stream.The income stream is private information to the borrower and is persistent.I find that the optimal contract conditions on the agent's reported endowment as well as two additional state variables: the agent's utility and marginal utility under the contract.I show how persistence alters the nature of the contract, and consider an exponential utility example which can be solved in closed form.Unlike the previous discrete time models with i.i.d.private information, the agent's consumption under the contract may grow over time.Furthermore, in my setting the efficiency losses due to private information increase with the persistence of the endowment, and the distortions vanish as I approximate an i.i.d.endowment.