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Graphical representation of the consumption function, where a is autonomous consumption (affected by interest rates, consumer expectations, etc.), b is the marginal propensity to consume and Yd is disposable income. In economics, the consumption function describes a relationship between consumption and disposable income.
Average propensity to consume (APC) (as well as the marginal propensity to consume) is a concept developed by John Maynard Keynes to analyze the consumption function, which is a formula where total consumption expenditures (C) of a household consist of autonomous consumption (C a) and income (Y) (or disposable income (Y d)) multiplied by marginal propensity to consume (c 1 or MPC).
The random walk model of consumption was introduced by economist Robert Hall. [1] This model uses the Euler numerical method to model consumption. He created his consumption theory in response to the Lucas critique. Using Euler equations to model the random walk of consumption has become the dominant approach to modeling consumption. [2]
This has led to the absolute income hypothesis falling out of favor as the consumption model of choice for economists. [3] Keynes' consumption function has come to be known as 'absolute income hypothesis' or 'absolute income theory'. His statement of the relationship between income and consumption was based on psychological law.
Consider the portfolio allocation problem of maximizing expected exponential utility [] of final wealth W subject to = ′ + (′) where the prime sign indicates a vector transpose and where is initial wealth, x is a column vector of quantities placed in the n risky assets, r is a random vector of stochastic returns on the n assets, k is a vector of ones (so ′ is the quantity placed in the ...
In econometrics, as in statistics in general, it is presupposed that the quantities being analyzed can be treated as random variables.An econometric model then is a set of joint probability distributions to which the true joint probability distribution of the variables under study is supposed to belong.
Model of the consumption function, where a is autonomous consumption, b is the MPC, and Yd is disposable income The permanent income hypothesis questions this ability of governments. However, it is also true that permanent income theory is concentrated mainly on long run dynamics and relations, while Keynes focused primarily on short run ...
where E is the expectation operator, u is a known utility function (which applies both to consumption and to the terminal wealth, or bequest, W T), ε parameterizes the desired level of bequest, ρ is the subjective discount rate, and is a constant which expresses the investor's risk aversion: the higher the gamma, the more reluctance to own ...