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Managerial Economics


Demand Forecasting
Demand Forecasting
It means expectation about future course of the
market demand for a product based on statistical
data about past behavior and empirical
relationships of demand determinants
Types:
  Short term
  Long term
  Passive & Active   Forecasts
Short Term Forecasting
It normally relates to a period not exceeding a
year
Benefits of Short term forecasting
  Evolving a Sales Policy
  Determining Price Policy
  Fixation of Sales Target
Long Term Forecasting

It  refers to the forecasts prepared for long
period during which the firm’s scale of
operations or the production capacity may be
expanded or reduced
  Benefitsof Long term forecasting
   Business Planning
  Manpower Planning
  Long-Term Financial Planning
Factors involved in Demand Forecasting


Undertaken at three levels:
a.Macro-level

b.Industry level eg., trade associations

c.Firm level

Should the forecast be general or specific
(product-wise)?
Problems or methods of forecasting for “new” vis-
à-vis “well established” products.
Classification of products – producer goods,
consumer durables, consumer goods, services.
 Special factors peculiar to the product and the
market – risk and uncertainty.
1.
     Criteria of a good forecasting
  Accuracy – measured by (a) degree of deviations between forecasts
and actuals, and (b) the extent of success in forecasting directional
changes.         method
2.Simplicity and ease of comprehension.

3.Economy.

4.Availability.

5.Maintenance of timeliness.
Presentation of a forecast to the
              Management
1.Make the forecast as easy for the management
to understand as possible.
2.Avoid using vague generalities.

3.Always pin-point the major assumptions and

sources.
4.Give the possible margin of error.

5.Omit details about methodology and

calculations.
6.Make use of charts and graphs as much as

possible for easy comprehension.
Various macro parameters found useful for
               demand forecasting

1.National income and per capita income.
2.Savings.

3.Investment.

4.Population growth.

5.Government expenditure.

6.Taxation.

7.Credit policy.
Significance of Demand Forecasting

Production Planning
Sales Forecasting
Control of Business
Inventory Control
Growth and Long Term Investment Program
Economic Planning and Policy Making
Sources of Data

Primary: which are collected for first time for
purpose of analysis
Secondary : are those which are obtained from
someone’s else records
Consumer Survey Methods
Complete   enumeration Method: All potential users of
product are contacted and are asked about their future plan
of purchasing the product in question
Limitations
   Very expensive in case of widely dispersed market
   Consumers may not know their actual demand and may br
   unable to answer query
   Their plans may change with a change in factors not
   included in questionnaire
Contd…

Sample   Survey: Only a few potential
consumers and users selected from relevant
market are surveyed
Method is simpler, less costly and less time
consuming.
 Surveys are done to understand market
demand, tastes ad preferences, Consumer
expectations etc
Opinion Poll Method
Aim   at collecting opinions of those who are
supposed to possess the knowledge of the market
e.g sales representatives, sales executives,
consultants and professional marketing experts
This method includes
Expert opinion
Delphi method
Expert opinion
Under  this method each expert is asked independently to
provide a confidential estimate and results could be averaged.
Experts  may include executives directly involved in the market
such as suppliers, distributors or dealers or marketing consultants,
officers of trade association etc.
Advantage   is that there is no danger that group of experts
develop a group- think mentality. Moreover, forecasting is done
quickly and easily without need of elaborate need of statistics.
Delphi Method
This  method is an attempt to arrive at a consensus on
some issues by questioning a group of experts
repeatedly until the responses appear to converge along
a single line or the issues causing disagreement are
clearly defined.
Generally a panel consisting 9 to 12 experts
A coordinator is required for the process
Market Experimentation

Test   marketing
  A testarea is selected, which should be a representative of the whole
  market in which the new product is to be launched.
  A test area may include several cities having similar features i.e.
  population, income levels, cultural and social background, choice and
  preferences of consumers
  Market experiments are carried out by changing prices, advertisement
  expenditure and other controllable variables influencing demand
  Aftersuch changes are introduced in the market, consequent changes
  in demand over a period of time are recorded.
Contd…
Experiments    in laboratory or consumer clinic method
  Under   this method consumers are given some money to buy
  in a stipulated store goods with varying
  prices, packages, displays etc.
  They   are also requested to fill a questionnaire asking reasons
  for the choices they have made
  The experiment reveals the consumers responsiveness to the
  changes made in prices, packages and displays.
Limitations of market experiment
 methods
Very  expensive
Being costly, carried out on a scale too small to permit
generalization with a high degree of reliability
Based on short term and controlled conditions which
may not exist in an uncontrolled market
Tinkering with price increases may cause a permanent
loss of customers to competitive brands
Types of data used in Statistical
methods data refer to data collected over a
Time series
period of time recording historical changes in price ,
income and other relevant variables influencing
demand for a commodity
Cross   sectional analysis is undertaken to determine
the effects of changes like price, income etc on
demand for a commodity at a point in time
Types of Statistical Methods
Consumption  level Method
Time series Analysis (Trend Projection)
Smoothing Techniques
  Moving Averages
  Least Squares Method
  Exponential Smoothing   Technique
Econometric Method
Barometric Method
Consumption Level Method
Under  this method consumption level method may be
estimated on basis of co-efficient of Income elasticity
and price elasticity of Demand
D* = D(1+M*.e)
D* =Projected per capita demand
D= Actual Per capita Demand
M*= Percentage change in per capita income/price
E=elasticity of demand
Illustration

Suppose Income elasticity of demand for
chocolates is 3. In year 1995 per capita income is
$500 and per capita annual demand for
chocolates is 10 million in a city. It is expected
that in year 2000 per capita income will increase
by 20 % . Then projected per capita demand for
chocolates in 2000 will be?
Time Series Analysis

It attempts to forecast future values of time series by
examining past observations of data
The time series relating to sales represent the past pattern
of effective demand for a particular product. Such data can
be presented either in a tabular form or graphically for
further analysis.
The most popular method of analysis of the time series is
to project the trend of the time series.a trend line can be
fitted through a series either visually or by means of
statistical techniques.
The analyst chooses a plausible algebraic relation (linear,
quadratic, logarithmic, etc.) between sales and the
independent variable, time. The trend line is then projected
into the future by extrapolation.
Time Series Analysis
Popular because: simple, inexpensive, time series
data often exhibit a persistent growth trend.
Disadvantage: this technique yields acceptable
results so long as the time series shows a
persistent tendency to move in the same direction.
Whenever a turning point occurs, however, the
trend projection breaks down.
The real challenge of forecasting is in the
prediction of turning points rather than in the
projection of trends.
Time Series Analysis

Reasons for fluctuations in time series data
Secular Trend : value of a variable tends to increase or decrease
over a period of time
Cyclical Fluctuations are major expansions and contractions that
seem to recur every several years
Seasonal variation refers to regularly recurring fluctuation in
economic activity during each year
Irregular influences are variations in data series resulting from
wars, natural disasters or other unique events
Four sets of factors: secular trend (T), seasonal
variation (S), cyclical fluctuations (C ), irregular or
random forces (I).            O (observations) = TSCI
Trend Projection

Simplest form of time series analysis is projecting
trend based on assumption that factors
responsible for past trends in variable to be
projected will remain same in future.
Trends refer to long term persistent movement of
data in one direction-increase or decrease
Trend component of time series is the overall
direction of the movement of the variable over a
long period.
Reasons for studying Trends
Studying secular trends permits us to project past
patterns, or trends, into the future
In many situations studying the secular trend of a time
series allows us to eliminate the trend component from
the series.
Methods for trend Projections:
   Least squares method

Smoothing Techniques
Moving Average
Exponential smoothing
Moving average Method
This method assumes that demand in future year
equals the average of demand in past years
Under this method 3 yearly,4 or 5 yearly etc
moving average is calculated by moving total of
values in group of years(3,4,5)is calculated, each
time by ignoring first entry and incorporating last
one
For Three period Moving average the forecasted
value of time series for next period is average
value of previous three periods in time series
Moving average Method
In order to decide which of these moving averages
forecasts is better closer to actual data root-
mean-square-error (RMSE) is calculated for each
forecast and using moving average that results in
smaller RMSE
The greater the number of periods used in moving
average the greater is the smoothing effect
because each new observation receives less
weight. Useful when time series data is more
erratic.
Three-quarter Moving Average forecasts
Five Quarter Moving Average forecasts
Three & Five year Moving Average
Comparison
RMSE= {(A-F)2   / n}1/2

RMSE = 78.3534/9 = 2.95
RMSE = 62.48/7 = 2.99

Thus Three Year Moving Average is marginally better than
corresponding Five year
Exponential Smoothing
A serous criticism of using moving averages in forecasting is that they give
equal weight to all observations in computing the average even though
more recent observations are more important
It uses a weighted average of past data as basis for a forecast by giving
heaviest weight to more recent information and smaller weights to
observations in more distant past on assumption that future is more
dependent on recent past than on distant past

The value of time series at period t (At) is assigned a weight (w) between 0
and 1 both inclusive, and forecast for period t (Ft) is assigned 1-w . The
basic Equation :
         Ft+1 = wAt + (1-w)Ft

       Where Ft+1 = forecast for next period
       At = Actual value of time t (most recent actual data)
       Ft = forecast for present period
       w = weight ie smoothing constant
Contd..
Rules of Thumb:
When magnitude of random variations is large, w is
taken as lower value so as to even out the effects of
random variation quickly
When magnitude of random variations is moderate, a
large value is assigned to w
It has been found appropriate to have w between 0.1
and 0.2 in many systems
To identify best forecast amongst many arrived from
different values of W,RMSE is used and forecast
having least RMSE is considered as best
Illustration : Exponential Smoothing
Contd..
Forecast sales of time period 8,9and 10
Take a smoothing constant w= 0.2
Econometric Methods
Combine statistical tools with economic theories to estimate economic
variables and to forecast intended economic variables
An econometric model may be a single equation regression model
Types of Econometric Method
Regression Method
Regression Method
It attempts to find out relationship between dependent and independent
variables
It is a statistical technique for obtaining the line that best fits data points
It is obtained by minimizing sum of squared vertical deviations of each point
from regression line and method used is called Ordinary Least Squares method
(OLS)
Contd…
Linear Equation
Y= a +bX Where X and Y are averages
Objective of regression analysis is to estimate
linear relationship ie a and b
a = Y-bX
b = N∑XY – (∑X) (∑Y)
               N ∑X2 - (∑X)2
Estimating Linear equation
b = 10(10254) – (144)(656)
                      10(2448) – (144)2
b = 2.15
a = Y – bX where Y & X are averages
Y = 34.54 + 2.15X
It means that an increase of Rs 1 million in ad expenditure will bring an
increase of 2.15 thousand units in sales ie 2,15000 units
When a time series data reveals rising
trend for e.g. in sales then equation is:
S= a +bT where a and b are estimated
using following two equations
∑S= na + b∑T
Estimating Linear Trend-Least Squares
∑ST = a ∑T + b ∑T2
Method
Illustration: Suppose that a local bread manufacturer company wants to assess
demand for its product for years 2002,2003 and 2004. for this purpose it uses
time series data of its sales over past 10 years.
Estimation of Trend Equation
Contd….
164 = 10a + 55b
1024 = 55a + 385b
S = 8.26 + 1.48T
For 2002, S2 = 8.26 + 1.48(11) = 24,540 tonnes
Problems: Demand Forecasting
1. Using method of least
squares, fit straight line
trend and estimate the
annual sales of 1997.
Contd..
 2. Suppose number of
refrigerators sold in past 7
years in a city is given in
table. Forecast demand for
refrigerator for year 2002
and 2003 by calculating 3-
yearly moving average
Contd..
   3. Estimate demand
for sugar in 2003-04 if
population in 2003-04
is projected to be 70
million by using
method of least
squares to estimate
regression equation of
form: Y= a+ bX
Data on Consumption
of Sugar:
Thank You

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Demand forecasting

  • 2. Demand Forecasting It means expectation about future course of the market demand for a product based on statistical data about past behavior and empirical relationships of demand determinants Types: Short term Long term Passive & Active Forecasts
  • 3. Short Term Forecasting It normally relates to a period not exceeding a year Benefits of Short term forecasting Evolving a Sales Policy Determining Price Policy Fixation of Sales Target
  • 4. Long Term Forecasting It refers to the forecasts prepared for long period during which the firm’s scale of operations or the production capacity may be expanded or reduced Benefitsof Long term forecasting  Business Planning Manpower Planning Long-Term Financial Planning
  • 5. Factors involved in Demand Forecasting Undertaken at three levels: a.Macro-level b.Industry level eg., trade associations c.Firm level Should the forecast be general or specific (product-wise)? Problems or methods of forecasting for “new” vis- à-vis “well established” products. Classification of products – producer goods, consumer durables, consumer goods, services. Special factors peculiar to the product and the market – risk and uncertainty.
  • 6. 1. Criteria of a good forecasting Accuracy – measured by (a) degree of deviations between forecasts and actuals, and (b) the extent of success in forecasting directional changes. method 2.Simplicity and ease of comprehension. 3.Economy. 4.Availability. 5.Maintenance of timeliness.
  • 7. Presentation of a forecast to the Management 1.Make the forecast as easy for the management to understand as possible. 2.Avoid using vague generalities. 3.Always pin-point the major assumptions and sources. 4.Give the possible margin of error. 5.Omit details about methodology and calculations. 6.Make use of charts and graphs as much as possible for easy comprehension.
  • 8. Various macro parameters found useful for demand forecasting 1.National income and per capita income. 2.Savings. 3.Investment. 4.Population growth. 5.Government expenditure. 6.Taxation. 7.Credit policy.
  • 9. Significance of Demand Forecasting Production Planning Sales Forecasting Control of Business Inventory Control Growth and Long Term Investment Program Economic Planning and Policy Making
  • 10. Sources of Data Primary: which are collected for first time for purpose of analysis Secondary : are those which are obtained from someone’s else records
  • 11.
  • 12.
  • 13. Consumer Survey Methods Complete enumeration Method: All potential users of product are contacted and are asked about their future plan of purchasing the product in question Limitations Very expensive in case of widely dispersed market Consumers may not know their actual demand and may br unable to answer query Their plans may change with a change in factors not included in questionnaire
  • 14. Contd… Sample Survey: Only a few potential consumers and users selected from relevant market are surveyed Method is simpler, less costly and less time consuming.  Surveys are done to understand market demand, tastes ad preferences, Consumer expectations etc
  • 15. Opinion Poll Method Aim at collecting opinions of those who are supposed to possess the knowledge of the market e.g sales representatives, sales executives, consultants and professional marketing experts This method includes Expert opinion Delphi method
  • 16. Expert opinion Under this method each expert is asked independently to provide a confidential estimate and results could be averaged. Experts may include executives directly involved in the market such as suppliers, distributors or dealers or marketing consultants, officers of trade association etc. Advantage is that there is no danger that group of experts develop a group- think mentality. Moreover, forecasting is done quickly and easily without need of elaborate need of statistics.
  • 17. Delphi Method This method is an attempt to arrive at a consensus on some issues by questioning a group of experts repeatedly until the responses appear to converge along a single line or the issues causing disagreement are clearly defined. Generally a panel consisting 9 to 12 experts A coordinator is required for the process
  • 18. Market Experimentation Test marketing A testarea is selected, which should be a representative of the whole market in which the new product is to be launched. A test area may include several cities having similar features i.e. population, income levels, cultural and social background, choice and preferences of consumers Market experiments are carried out by changing prices, advertisement expenditure and other controllable variables influencing demand Aftersuch changes are introduced in the market, consequent changes in demand over a period of time are recorded.
  • 19. Contd… Experiments in laboratory or consumer clinic method Under this method consumers are given some money to buy in a stipulated store goods with varying prices, packages, displays etc. They are also requested to fill a questionnaire asking reasons for the choices they have made The experiment reveals the consumers responsiveness to the changes made in prices, packages and displays.
  • 20. Limitations of market experiment methods Very expensive Being costly, carried out on a scale too small to permit generalization with a high degree of reliability Based on short term and controlled conditions which may not exist in an uncontrolled market Tinkering with price increases may cause a permanent loss of customers to competitive brands
  • 21. Types of data used in Statistical methods data refer to data collected over a Time series period of time recording historical changes in price , income and other relevant variables influencing demand for a commodity Cross sectional analysis is undertaken to determine the effects of changes like price, income etc on demand for a commodity at a point in time
  • 22. Types of Statistical Methods Consumption level Method Time series Analysis (Trend Projection) Smoothing Techniques Moving Averages Least Squares Method Exponential Smoothing Technique Econometric Method Barometric Method
  • 23. Consumption Level Method Under this method consumption level method may be estimated on basis of co-efficient of Income elasticity and price elasticity of Demand D* = D(1+M*.e) D* =Projected per capita demand D= Actual Per capita Demand M*= Percentage change in per capita income/price E=elasticity of demand
  • 24. Illustration Suppose Income elasticity of demand for chocolates is 3. In year 1995 per capita income is $500 and per capita annual demand for chocolates is 10 million in a city. It is expected that in year 2000 per capita income will increase by 20 % . Then projected per capita demand for chocolates in 2000 will be?
  • 25. Time Series Analysis It attempts to forecast future values of time series by examining past observations of data The time series relating to sales represent the past pattern of effective demand for a particular product. Such data can be presented either in a tabular form or graphically for further analysis. The most popular method of analysis of the time series is to project the trend of the time series.a trend line can be fitted through a series either visually or by means of statistical techniques. The analyst chooses a plausible algebraic relation (linear, quadratic, logarithmic, etc.) between sales and the independent variable, time. The trend line is then projected into the future by extrapolation.
  • 26. Time Series Analysis Popular because: simple, inexpensive, time series data often exhibit a persistent growth trend. Disadvantage: this technique yields acceptable results so long as the time series shows a persistent tendency to move in the same direction. Whenever a turning point occurs, however, the trend projection breaks down. The real challenge of forecasting is in the prediction of turning points rather than in the projection of trends.
  • 27. Time Series Analysis Reasons for fluctuations in time series data Secular Trend : value of a variable tends to increase or decrease over a period of time Cyclical Fluctuations are major expansions and contractions that seem to recur every several years Seasonal variation refers to regularly recurring fluctuation in economic activity during each year Irregular influences are variations in data series resulting from wars, natural disasters or other unique events Four sets of factors: secular trend (T), seasonal variation (S), cyclical fluctuations (C ), irregular or random forces (I). O (observations) = TSCI
  • 28. Trend Projection Simplest form of time series analysis is projecting trend based on assumption that factors responsible for past trends in variable to be projected will remain same in future. Trends refer to long term persistent movement of data in one direction-increase or decrease Trend component of time series is the overall direction of the movement of the variable over a long period.
  • 29. Reasons for studying Trends Studying secular trends permits us to project past patterns, or trends, into the future In many situations studying the secular trend of a time series allows us to eliminate the trend component from the series. Methods for trend Projections: Least squares method Smoothing Techniques Moving Average Exponential smoothing
  • 30. Moving average Method This method assumes that demand in future year equals the average of demand in past years Under this method 3 yearly,4 or 5 yearly etc moving average is calculated by moving total of values in group of years(3,4,5)is calculated, each time by ignoring first entry and incorporating last one For Three period Moving average the forecasted value of time series for next period is average value of previous three periods in time series
  • 31. Moving average Method In order to decide which of these moving averages forecasts is better closer to actual data root- mean-square-error (RMSE) is calculated for each forecast and using moving average that results in smaller RMSE The greater the number of periods used in moving average the greater is the smoothing effect because each new observation receives less weight. Useful when time series data is more erratic.
  • 33. Five Quarter Moving Average forecasts
  • 34. Three & Five year Moving Average Comparison RMSE= {(A-F)2 / n}1/2 RMSE = 78.3534/9 = 2.95 RMSE = 62.48/7 = 2.99 Thus Three Year Moving Average is marginally better than corresponding Five year
  • 35. Exponential Smoothing A serous criticism of using moving averages in forecasting is that they give equal weight to all observations in computing the average even though more recent observations are more important It uses a weighted average of past data as basis for a forecast by giving heaviest weight to more recent information and smaller weights to observations in more distant past on assumption that future is more dependent on recent past than on distant past The value of time series at period t (At) is assigned a weight (w) between 0 and 1 both inclusive, and forecast for period t (Ft) is assigned 1-w . The basic Equation : Ft+1 = wAt + (1-w)Ft Where Ft+1 = forecast for next period At = Actual value of time t (most recent actual data) Ft = forecast for present period w = weight ie smoothing constant
  • 36. Contd.. Rules of Thumb: When magnitude of random variations is large, w is taken as lower value so as to even out the effects of random variation quickly When magnitude of random variations is moderate, a large value is assigned to w It has been found appropriate to have w between 0.1 and 0.2 in many systems To identify best forecast amongst many arrived from different values of W,RMSE is used and forecast having least RMSE is considered as best
  • 38. Contd.. Forecast sales of time period 8,9and 10 Take a smoothing constant w= 0.2
  • 39. Econometric Methods Combine statistical tools with economic theories to estimate economic variables and to forecast intended economic variables An econometric model may be a single equation regression model Types of Econometric Method Regression Method
  • 40. Regression Method It attempts to find out relationship between dependent and independent variables It is a statistical technique for obtaining the line that best fits data points It is obtained by minimizing sum of squared vertical deviations of each point from regression line and method used is called Ordinary Least Squares method (OLS)
  • 41. Contd… Linear Equation Y= a +bX Where X and Y are averages Objective of regression analysis is to estimate linear relationship ie a and b a = Y-bX b = N∑XY – (∑X) (∑Y) N ∑X2 - (∑X)2
  • 42.
  • 43. Estimating Linear equation b = 10(10254) – (144)(656) 10(2448) – (144)2 b = 2.15 a = Y – bX where Y & X are averages Y = 34.54 + 2.15X It means that an increase of Rs 1 million in ad expenditure will bring an increase of 2.15 thousand units in sales ie 2,15000 units
  • 44. When a time series data reveals rising trend for e.g. in sales then equation is: S= a +bT where a and b are estimated using following two equations ∑S= na + b∑T Estimating Linear Trend-Least Squares ∑ST = a ∑T + b ∑T2 Method
  • 45. Illustration: Suppose that a local bread manufacturer company wants to assess demand for its product for years 2002,2003 and 2004. for this purpose it uses time series data of its sales over past 10 years.
  • 47. Contd…. 164 = 10a + 55b 1024 = 55a + 385b S = 8.26 + 1.48T For 2002, S2 = 8.26 + 1.48(11) = 24,540 tonnes
  • 48. Problems: Demand Forecasting 1. Using method of least squares, fit straight line trend and estimate the annual sales of 1997.
  • 49. Contd.. 2. Suppose number of refrigerators sold in past 7 years in a city is given in table. Forecast demand for refrigerator for year 2002 and 2003 by calculating 3- yearly moving average
  • 50. Contd.. 3. Estimate demand for sugar in 2003-04 if population in 2003-04 is projected to be 70 million by using method of least squares to estimate regression equation of form: Y= a+ bX Data on Consumption of Sugar: