• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Estimate a consumption function for the UK economy explaining the statistical techniques you have used.

Extracts from this document...


EQ1162 Applied Economics

Library No: 0253027

Project:  Estimate a consumption function for the UK economy explaining the statistical techniques you have used.


The purpose of doing this project is to estimate different consumption functions and to observe the relationships between consumption and a set of variables, such as household disposable income, house price inflation and inflation.  I have extended my data to include the periods 1999 to 2001. I will construct and apply a model to such data and apply an appropriate set of tests to it.  This project will be achieved using PC GIVE, which is a computerised statistical package.  This will enable me to produce graphical analysis and present results in an appropriate manner.  


To address economic problem in context we separate an economy’s aggregate expenditure (Y) into four categories: consumption (C), investment (I), government expenditure (G), and net foreign expenditure, or exports less imports (X-M).  The aggregate demand identity

        Y=C + I + G + (X – M)

Is used to represent these four elements. It is useful to make this kind of categorization, because different agents are responsible for each type of expenditure and therefore they must have different determinants.  (William E.Griffiths, R, Carer Hill, George G. Judge, (1993) Learning and Practicing Econometrics, 1993 by John Wiley & Sons, Inc, page 261)

Consumption is the most important element in aggregate demand, it accounted for almost 70 per cent of GDP in 1989.  It is thus very important to forecasters for them to be able to predict consumption correctly.

...read more.


                     13064.8                            2801.                          4.66                                     0.000                    0.2950

HDY                      0.924901                          0.008219                         113.                            0.000                    0.9959

sigma                            8375.07                          RSS                     3.64737352e+009image01.png

R^2                              0.99591                          F(1,52) =               1.266e+004 [0.000]**

log-likelihood              -563.386                         DW                           0.426

no. of observations      54                               no. of parameters     2

mean(CON)                 300958                           var(CON)                      1.6516e+010

R2 is called the coefficient of determination.  It indicates how well the predicted line fits the actual data.  The closer it is to 1 the greater the predictive ability of our model over the sample observations.  The R2 for this consumption function is 0.996.  This is roughly equal to one.  This means that the estimation fits the line quite well.

Before we go on consider other consumption functions we will make a small change to this simple consumption function.  This is to use logarithms of consumption and income to estimate this function in the form:

ct = c0 + c1yt or Ln(Ct) = c0 +c1Ln(Yt)

The reason to use logarithms is because it makes the residuals smaller, thus a better estimation.  C = log(C) and y = log(Y). The relationship between C and Y is:

C = c0Yc1

c1 is the elasticity of consumption with respect to income.  Estimating this log consumption function we obtain:

c =  0.773 + 0.937y

The elasticity with respect to income is 0.937 and the level of consumption predicted is very similar to the simple Keynesian consumption function.

R2 is 0.997.  This is closer to 1 than the previous value.  This means the estimation fits the actual line even better.            


Permanent Income / Life cycle Theories

Friedman’s Permanent Income Hypothesis (PIH) and Modigliani’s Life Cycle Hypothesis (LCH)

...read more.


         0.00746478           0.004738             1.58                    0.122                  0.0492

DLHDY                     0.787978             0.07590             10.4                    0.000                  0.6919

St-1                         0.121970             0.05434            2.24                    0.029                    0.0950

INF                      -0.000931982          0.0004286           -2.17                    0.035                   0.0897

sigma                       0.0138087          RSS                     0.00915268714image01.pngimage01.png

R^2                            0.754598          F(3,48) =             49.2 [0.000]**

log-likelihood                  150.984                   DW                            1.24

no. of observations       52                  no. of parameters       4

mean(DLCON)                   0.0288347           var(DLCON)               0.000717243

The predicted value does not always fit the actual data.  The R2 is 0.75; it is not very high compared to other consumption functions.  However, its DW value is 1.24, this is closer to 2.  This means that residuals are random distributed, which means it would not be easy to model.  


Consumption is the most important element over aggregate demand in the economy.  

The simple Keynesian theory suggested as income increases people only spend part of their increased income.  The permanent income hypothesis and the Life – Cycle hypothesis suggested that people base their spending on their future income.  However, Life – Cycle hypothesis stressed that the age of household also plays a part in determining their consumption.  

In this project I started by estimating the simple Keynesian consumption function using the data collected from 1948 to 2002.  Then I introduced a number of additional factors, which should influence consumption.  I used the log to minimise errors and lag structure to compare the difference between last years consumption to the current consumption.

There are also other important factors, which influence consumption, such as house prices and uncertainties.  If I were to do this project again I would include these factors in my estimated consumption function.  


  • William E.Griffiths, R, Carer Hill, George G. Judge, (1993) Learning and Practicing Econometrics, 1993 by John Wiley & Sons, Inc, page 261
  • Backhouse, R (1991) Applied UK Macroeconomics, Blackwell, page 23 –40
  • Alan Griffiths & StuartWall, Ninth edition 2001, Applied Economics, Prentice Hall, page 392 – 409.
  • http://www.statistics.gov.uk
  • http://www.census.gov.ph
  • http://www.nso.gov.mt
  • http://www.ons.gov.uk

...read more.

This student written piece of work is one of many that can be found in our AS and A Level Core & Pure Mathematics section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related AS and A Level Core & Pure Mathematics essays

  1. Marked by a teacher

    The Gradient Function

    5 star(s)

    0.353535 3 1.732051 0.2887 4 2 0.25 1/2*1-0.5 = 0.5 1/2*2-0.5 = 0.3535 1/2*3-0.5 = 0.0.2887 1/2*4-0.5 = 0.25 These are exactly the same as the gradient; therefore this proves that I was correct. I shall now try and do the same for when n = 1/4, to prove that

  2. Determine an appropriate parabolic model that fits the data I collected of whirlybird wing ...

    You should note the large difference when the length was 12cm. In the graph above it can be seen that this point does not fit in very well. X Y= -0.033(X-8.5)2+2.33 14 1.33175 12 1.92575 10 2.25575 8 2.32175 6 2.12375 4 1.66175 2 0.93575 Length (cm)

  1. The Gradient Fraction

    = 27.27 - 27 = 0.27 3.01 - 3 = 0.01 = 27 x=4: Gradient = 64.48 - 64 = 0.48 4.01 - 4 = 0.01 = 48 These results obtained are very accurate. They have no decimal places. x -4 -3 -2 -1 0 1 2 3 4 2x3

  2. Sequence & Series

    For the A.P. . Similarly, for the G.P. Substituting into, we obtain We ignore the value of p=10 and q=10, which are not valid as p and q must be distinct values. Putting p=-5 into the equation gives q=2.5. Thus, p=-5 and q=2.5. 16. In a G.P. the second term exceeds the first by 20 and the fourth term exceeds the second by 15.

  1. Investigation of the Phi Function

    iii ?(11) = 10, because again, 11 is a prime number and, so, cannot be co-prime with any of the numbers smaller than it. This ?(11) = 11-1 =10 iv ?(24) = 8. This is because the prime factors of 24 are 2 and 3, and there are 8 numbers i.e.

  2. Math Portfolio Type II - Applications of Sinusoidal Functions

    = a sin[b(n - c)] + d, that represents the time of sunrise as a function of day number, n, for Miami. State the values of a, b, c, and d to the nearest thousandth. Miami Location: 26?N 80?W Date Day Time of Sunrise January 1 1 7.12h February 1

  1. Estimate a consumption function for the UK economy explaining the economic theory and statistical ...

    These factors are obviously of importance in predicting consumption and so they need to be incorporated into our equation. There is one small change to the equation that needs to be made before investigating the other factors that affect consumption.

  2. The open box problem

    X X 12cm 12-2x X 12cm 12-2x Here I use the same equation as before except that I replace 6 with 12 so the equation would be V=x(12-2x)^2. So I will now draw tables and a graph to show the maximum volume and the value of x.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work