Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods
分析消费者持有非流动性耐用消费品时的最优消费和投资组合选择,发现消费并非财富的平滑函数,消费资本资产定价模型失效,但标准市场组合资本资产定价模型仍成立。
We analyze a model of optimal consumption and portfolio selection in which consumption services are generated by holding a durable good. The durable good is illiquid in that a transaction cost must be paid when the good is sold. It is shown that optimal consumption is not a smooth function of wealth; it is optimal for the consumer to wait until a large change in wealth occurs before adjusting his consumption. As a consequence, the consumption based capital asset pricing model fails to hold. Nevertheless, it is shown that the standard, one factor, market portfolio based capital asset pricing model does hold in this environment. It is shown that the optimal durable level is characterized by three numbers (not random variables), say x, y, and z (where x