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Non-Technical SummaryIt has been documented that consumption expenditures of individuals are hump shaped over the life cycle with a peak around the age of 45-50 years. These findings contrast the classical, frictionless life-cycle consumption-savings models that predict either a monotonically increasing, monotonically decreasing, or flat consumption profile depending on parameter values. We present and explicitly solve a parsimonious and transparent model in which the optimal consumption of the individual can exhibit a hump-shaped life-cycle pattern. The key model feature generating the consumption hump is endogenous educational decisions. The agent decides how much time to spend on education. He benefits from education since it has a lasting positive effect on the wages he earns. On the other hand, by spending time on education the agent forgoes leisure, which leads to disutility. In addition, education might require a monetary investment by the agent. The endogenously determined price of leisure relative to consumption varies over life. Enjoying an extra hour of leisure means spending one hour less on education, which reduces wages in all future. The present value of the foregone wages is larger for young than for old agents. Therefore, the relative price of leisure decreases over life. The consumption bundle of perishable goods and leisure is optimally tilted towards more perishable consumption and less leisure early in life, but less perishable consumption and more leisure later in life. When we embed this mechanism in a setting where the return on savings exceeds the agent's subjective time preference rate, a hump-shaped pattern for perishable consumption emerges.Our model is set up in continuous-time with an agent maximizing expected life-time CobbDouglas utility of the consumption of goods and leisure. At any point in time before retirement the agent has to decide upon his consumption of goods and the fraction of time spent on education. While time spent on education reduces leisure, it also increases wages in all future albeit with the impact being exponentially decaying over time. For parsimony (but not unlike the situation in European labor markets), the agent is assumed to work a constant fraction of time throughout life so his labor income is affected by education in the same way as the wage rate. After retirement, the agent receives a fixed income given by a fraction of labor income just before retirement and decid...