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In economics, a discount function is used in economic models to describe the weights placed on rewards received at different points in time. For example, if time is discrete and utility is time-separable, with the discount function f(t) having a negative first derivative and with c t (or c(t) in continuous time) defined as consumption at time t, total utility from an infinite stream of ...
In economics, hyperbolic discounting is a time-inconsistent ... For example, in an early study subjects said they would be indifferent between receiving $15 ...
Discount rates and traditional economic problems both inform and are influenced by each other. For example, the interest rate plays an important role in individual discount rates. If one can accumulate interest at a certain rate, say 5% per year, one should not have a discount rate below this. Say you are offered $100 today or $105 in one year.
Time value of money problems involve the net value of cash flows at different points in time. In a typical case, the variables might be: a balance (the real or nominal value of a debt or a financial asset in terms of monetary units), a periodic rate of interest, the number of periods, and a series of cash flows. (In the case of a debt, cas
For example, experiments by Tversky and Kahneman showed that the same people who would choose 1 candy bar now over 2 candy bars tomorrow, would choose 2 candy bars 101 days from now over 1 candy bar 100 days from now. (This is inconsistent because if the same question were posed 100 days from now, the person would ostensibly again choose 1 ...
Therefore, the preferences at t = 1 is preserved at t = 2; thus, the exponential discount function demonstrates dynamically consistent preferences over time. For its simplicity, the exponential discounting assumption is the most commonly used in economics. However, alternatives like hyperbolic discounting have more empirical support.
The term of present bias was coined in the second half of the 20th century. In the 1930s economic research started investigating time preferences. The findings led to the model of exponential discounting, thus time consistent discounting. However, later research led to the conclusion that time preferences were indeed not consistent, but ...
For a specific example from economics, consider an infinitely-lived consumer with initial wealth endowment at period . They have an instantaneous utility function u ( c ) {\displaystyle u(c)} where c {\displaystyle c} denotes consumption and discounts the next period utility at a rate of 0 < β < 1 {\displaystyle 0<\beta <1} .