Utility function: u(c0,c1) = U(c0) + βU(c1)
Where β is the discount factor of the consumer on how much he discounts future consumption. When β is low, the consumer consumes most of the food today, and when β is high the consumer consumers most of the food tomorrow.
B. The intertemporal budget constraint refers to the fact that a consumer …show more content…
Next to that we assume that there is no chance in price level and the price of consumption is 1, which means that 1 euro extra of income leads to 1 extra unit of consumption. Consumption (C) and income (M) doesn’t need to be equal to each other in one period for the reason that a consumer can save or borrow money to increase his current or future consumption. We assume that consumers make decisions based upon present discounted value (PDV). In period 0 savings will equal to current income minus current consumption (equation 1) and in period 1 consumption will be equal to the further value (1+R) of the savings in period 0 and the current income of period 2, where R is the interest rate. We assume that the interest is the same for both