“…At every age, the average accumulated earnings follow the law of motion: where is the accounting variable capturing the average of earnings before the retirement age R , and is the maximum allowable level of labor earnings subject to the Social Security tax that corresponds to the benefit‐contribution cap. To infuse an additional degree of realism while maintaining the model's tractability, we follow Kitao () and introduce a rule to ensure that the average accumulated labor earnings, , cannot fall below their previously realized level, , after 35 working periods . Moreover, since agents are not allowed to work during their retirement, which is assumed to be an absorbing state, is constant at .…”