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Demand Forecasting Techniques
Demand
Demand     – The demand for a commodity
refers to the commodity which an individual
consumer is willing to purchase per unit of time
at a particular price.

Demand    – the amount of goods consumers
desire to purchase at various alternative prices.

Demand    – reflects the degree of value
consumers place on items – price and
satisfaction gained from purchase (utility)
Demand Forecasting
     General considerations:
2.    Factors involved in demand forecasting
3.    Purposes of forecasting
4.    Determinants of demand
5.    Length of forecasts
6.    Forecasting demand for new products
7.    Criteria of a good forecasting method
8.    Presentation of a forecast to the management
9.    Role of macro-level forecasting in demand forecasts
10.   Recent trends in demand forecasting
11.   Control or management of demand
     Methods of demand forecasting
     Approach to forecasting
Demand Forecasting
 Accurate demand forecasting is essential for a firm to
 enable it to produce the required quantities at the right
 time and arrange well in advance for the various factors
 of production, viz., raw materials, equipment, machine
 accessories, labour, buildings, etc.
 In a developing economy like India, supple forecasting
 seems more important. However, the situation is
 changing rapidly.
 The National Council of Applied Economic Research.


 Factors involved in Demand Forecasting
1.   How far ahead?
a. Long term – eg., petroleum, paper, shipping. Tactical
     decisions. Within the limits of resources already available.
b. Short-term – eg., clothes. Strategic decisions. Extending or
     reducing the limits of resources.
Factors involved in Demand Forecasting

2. Undertaken at three levels:
b.    Macro-level
c.    Industry level eg., trade associations
d.    Firm level
3. Should the forecast be general or specific (product-wise)?
4. Problems or methods of forecasting for “new” vis-à-vis
      “well established” products.
5. Classification of products – producer goods, consumer
      durables, consumer goods, services.
6. Special factors peculiar to the product and the market –
      risk and uncertainty. (eg., ladies’ dresses)
Purposes of forecasting
    Purposes of short-term forecasting
b.   Appropriate production scheduling.
c.   Reducing costs of purchasing raw materials.
d.   Determining appropriate price policy
e.   Setting sales targets and establishing controls and incentives.
f.   Evolving a suitable advertising and promotional campaign.
g.   Forecasting short term financial requirements.
    Purposes of long-term forecasting
i.   Planning of a new unit or expansion of an existing unit.
j.   Planning long term financial requirements.
k.   Planning man-power requirements.
Length of forecasts
    Short-term forecasts – upto 12 months, eg., sales quotas,
     inventory control, production schedules, planning cash flows,
     budgeting.
    Medium-term – 1-2 years, eg., rate of maintenance, schedule of
     operations, budgetary control over expenses.
    Long-term – 3-10 years, eg., capital expenditures, personnel
     requirements, financial requirements, raw material
     requirements.
(Most uncertain in nature)

     Forecasting demand for new products – Joel Dean
7.   Project the demand for a new product as an outgrowth of an
     existing old product.
8.   Analyse the new product as a substitute for some existing
     product or service.
9.   Estimate the rate of growth and the ultimate level of demand
     for the new product on the basis of the pattern of growth of
     established products.
Presentation of a forecast to the
              Management
    In presenting a forecast to the management, a managerial
     economist should:
2.   Make the forecast as easy for the management to understand as
     possible.
3.   Avoid using vague generalities.
4.   Always pin-point the major assumptions and sources.
5.   Give the possible margin of error.
6.   Avoid making undue qualifications.
7.   Omit details about methodology and calculations.
8.   Make use of charts and graphs as much as possible for easy
     comprehension.
Recent trends in demand forecasting
1. More firms are giving importance to demand forecasting than a
    decade ago.
2. Since forecasting requires close cooperation and consultation with
    many specialists, a team spirit has developed.
3. Better kind of data and improved forecasting techniques have been
    developed.
4. There is a greater emphasis on sophisticated techniques such as
    using computers.
5. New products’ forecasting is still in infancy.
6. Forecasts are usually broken down in monthly forecasts.
7. In spite of the application of newer and modern techniques,
    demand forecasts are still not too accurate.
8. The usefulness of personal feel or subjective touch has been
    accepted.
9. Top-down approach is more popular then bottom-up approach.
Methods of demand forecasting
Though statistical techniques are essential in clarifying relationships
  and providing techniques of analysis, they are not substitutes for
  judgement. What is needed is some common sense mean between
  pure guessing and too much mathematics.

1. Survey of buyers’ intentions: also known as Opinion surveys.
    Useful when customers are industrial producers. (However, a
    number of biases may creep up). Not very useful for household
    consumers.
Limitation: passive and “does not expose and measure the variables
    under management’s control”

2. Delphi method: it consists of an effort to arrive at a consensus in an
   uncertain area by questioning a group of experts repeatedly until
   the results appear to converge along a single line of the issues
   causing disagreement are clearly defined.
Developed by Rand Corporation of the U.S.A in 1940s by Olaf
   Helmer, Dalkey and Gordon. Useful in technological forecasting
   (non-economic variables).
Delphi method
Advantages
2.   Facilitates the maintenance of anonymity of the respondent’s
     identity throughout the course.
3.   Saves time and other resources in approaching a large number
     of experts for their views.
Limitations/presumptions:
5.   Panelists must be rich in their expertise, possess wide
     knowledge and experience of the subject and have an aptitude
     and earnest disposition towards the participants.
6.   Presupposes that its conductors are objective in their job,
     possess ample abilities to conceptualize the problems for
     discussion, generate considerable thinking, stimulate dialogue
     among panelists and make inferential analysis of the
     multitudinal views of the participants.
3. Expert opinion / “hunch” method
To ask “experts in the field” to provide estimates, eg., dealers,
     distributers ,suppliers industry analysts, specialist marketing
     consultants, etc.
Advantages:
3.   Very simple and quick method.
4.   No danger of a “group-think” mentality.

                 4. Collective opinion method
Also called “sales force polling”, salesmen are required to estimate
      expected sales in their respective territories and sections.
Advantages:
9.    Simple – no statistical techniques.
10.   Based on first hand knowledge.
11.   Quite useful in forecasting sales of new products.
Disadvantages:
13.   Almost completely subjective.
14.   Usefulness restricted to short-term forecasting.
15.   Salesmen may be unaware of broader economic changes.
5. Naïve models
Naïve forecasting models are based exclusively on historical
     observation of sales (or other variables such as earnings, cash
     flows, etc). They do not explain the underlying casual
     relationships which produces the variable being forecast.
Advantage: Inexpensive to develop, store data and operate.
Disadvantage: does not consider any possible causal relationships
     that underlie the forecasted variable.

3-naïve models
1. To use actual sales of the current period as the forecast for the next
      period; then, Yt+1 = Yt
2. If we consider trends, then, Yt+1 = Yt + (Yt – Yt-1)
3. If we want to incorporate the rate of change, rather than the
       absolute amount; then,
Yt+1 = Yt (Yt / Yt-1)
6. Smoothing techniques
Higher form of naïve models:
A. Moving average: are averages that are updated as new
       information is received. With the moving average a manager
       simply employs, the most recent observations, drops the oldest
       observation, in the earlier calculation and calculates an average
       which is used as the forecast for the next period.
Limitations:
      One has to retain a great deal of data.
      All data in the sample are weighed equally.
B. Exponential smoothing: uses weighted average of past data as the
       basis for a forecast.
Yt+1 = aYt + (1-a) Yt or Y new = a Y old + (1-a) Y’ old, where,
Y new = exponentially smoothed average to be used as the forecast
Y old = most recent actual data
Y’old = most recent smoothed forecast
a = smoothing constant
Smoothing constant (or weight) has a value between 0 and 1 inclusive.
Exponential smoothing
    .

Advantages:
Exponential smoothing is a forecasting method easy to use and
    efficiently handled by computers. Although a type of moving
    average technique, it requires very little record keeping of past
    data. This method has been successfully applied by banks,
    manufacturing companies, wholesalers and other organizations.
    The following rules of thumb may be given :
2.   When the magnitude of the random variations is
     large, give a lower value to “a” so as to average out
     the effects of the random variation quickly.
3.   When the magnitude of the random variation is
     moderate, a large value can be assigned to the
     smoothing constant “a”.
4.   It has been found appropriate to have “a” between
     0.1 and 0.2 in many systems
7. Analysis of time series and trend
                projections
 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.
 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.
Analysis of time series and trend
                projections
    Four sets of factors: secular trend (T), seasonal variation (S),
     cyclical fluctuations (C ), irregular or random forces (I).
O (observations) = TSCI
Assumptions:
4.   The analysis of movements would be in the order of trend,
     seasonal variations and cyclical changes.
5.   Effects of each component are independent of each other.
8. Use of economic indicators
The use of this approach bases demand forecasting on certain
     economic indicators, eg.,
2.   Construction contracts sanctioned for the demand of building
     materials, say, cement;
3.   Personal income for the demand of consumer goods;
4.   Agricultural income for the demand of agricultural inputs,
     implements, fertilizers, etc,; and
5.   Automobile registration for the demand of car accessories,
     petrol, etc.
Steps for economic indicators:
7.   See whether a relationship exists between the demand for the
     product and certain economic indicators.
8.   Establish the relationship through the method of least squares
     and derive the regression equation. (Y= a + bx)
9.   Once regression equation is derived, the value of Y (demand)
     can be estimated for any given value of x.
10.  Past relationships may not recur. Hence, need for value
     judgement.
Use of economic indicators
    Limitations:
2.   Finding an appropriate economic indicator may be difficult.
3.   For new products – no past data exists.
4.   Works best when the relationship of demand with a particular
     indicator is characterized by a time lag. Eg., construction
     contracts will result in a demand for building materials but with
     a certain amount of time lag.
9. Controlled experiments
    Under this method, an effort is made to vary separately certain
     determinants of demand which can be manipulated, e.g., price,
     advertising, etc., and conduct the experiments assuming that the
     other factors remain constant.
    Example – Parker Pen Co.
    Still relatively new and untried:
4.   Experiments are expensive as well as time consuming.
5.   Risky – may lead to unfavourable reaction on dealers,
     consumers, competitors, etc.
6.   Great difficulty in planning the study.difficult to satisfy the
     condition of homogeneity of markets.
10. Judgemental approach
    Required when:
2.   Analysis of time series and trend projections is not feasible
     because of wide fluctuations in sales or because of anticipated
     changes in trends; and
3.   Use of regression method is not possible because of lack of
     historical data or because of management’s inability to predict
     or even identify causal factors.
Even statistical methods require supplementation of judgement:
5.   Even the most sophisticated statistical methods cannot
     incorporate all the potential factors, e.g., a major technological
     breakthrough in product or process design.
6.   For industrial products – if the management anticipates loss or
     addition of few large buyers, it could be taken into account only
     through judgement approach.
7.   Statistical forecasts are more reliable for larger levels of
     aggregations.
Approach to forecasting
1. Identify and clearly state the objectives of forecasting.
2. Select appropriate method of forecasting.
3. Identify the variables.
4. Gather relevant data.
5. Determine the most probable relationship.
6. For forecasting the company’s share in the demand, two different
      assumptions may be made:
(g)   Ratio of company sales to the total industry sales will continue
      as in the past.
(h)   On the basis of an analysis of likely competition and industry
      trends, the company may assume a market share different from
      that of the past. (alternative / rolling forecasts)
7. Forecasts may be made either in terms of units or sales in rupees.
8. May be made in terms of product groups and then broken for
      individual products.
9. May be made on annual basis and then divided month-wise, etc.
Demand forecasting 12

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Demand forecasting 12

  • 2. Demand Demand – The demand for a commodity refers to the commodity which an individual consumer is willing to purchase per unit of time at a particular price. Demand – the amount of goods consumers desire to purchase at various alternative prices. Demand – reflects the degree of value consumers place on items – price and satisfaction gained from purchase (utility)
  • 3. Demand Forecasting  General considerations: 2. Factors involved in demand forecasting 3. Purposes of forecasting 4. Determinants of demand 5. Length of forecasts 6. Forecasting demand for new products 7. Criteria of a good forecasting method 8. Presentation of a forecast to the management 9. Role of macro-level forecasting in demand forecasts 10. Recent trends in demand forecasting 11. Control or management of demand  Methods of demand forecasting  Approach to forecasting
  • 4. Demand Forecasting Accurate demand forecasting is essential for a firm to enable it to produce the required quantities at the right time and arrange well in advance for the various factors of production, viz., raw materials, equipment, machine accessories, labour, buildings, etc. In a developing economy like India, supple forecasting seems more important. However, the situation is changing rapidly. The National Council of Applied Economic Research. Factors involved in Demand Forecasting 1. How far ahead? a. Long term – eg., petroleum, paper, shipping. Tactical decisions. Within the limits of resources already available. b. Short-term – eg., clothes. Strategic decisions. Extending or reducing the limits of resources.
  • 5. Factors involved in Demand Forecasting 2. Undertaken at three levels: b. Macro-level c. Industry level eg., trade associations d. Firm level 3. Should the forecast be general or specific (product-wise)? 4. Problems or methods of forecasting for “new” vis-à-vis “well established” products. 5. Classification of products – producer goods, consumer durables, consumer goods, services. 6. Special factors peculiar to the product and the market – risk and uncertainty. (eg., ladies’ dresses)
  • 6. Purposes of forecasting  Purposes of short-term forecasting b. Appropriate production scheduling. c. Reducing costs of purchasing raw materials. d. Determining appropriate price policy e. Setting sales targets and establishing controls and incentives. f. Evolving a suitable advertising and promotional campaign. g. Forecasting short term financial requirements.  Purposes of long-term forecasting i. Planning of a new unit or expansion of an existing unit. j. Planning long term financial requirements. k. Planning man-power requirements.
  • 7. Length of forecasts  Short-term forecasts – upto 12 months, eg., sales quotas, inventory control, production schedules, planning cash flows, budgeting.  Medium-term – 1-2 years, eg., rate of maintenance, schedule of operations, budgetary control over expenses.  Long-term – 3-10 years, eg., capital expenditures, personnel requirements, financial requirements, raw material requirements. (Most uncertain in nature) Forecasting demand for new products – Joel Dean 7. Project the demand for a new product as an outgrowth of an existing old product. 8. Analyse the new product as a substitute for some existing product or service. 9. Estimate the rate of growth and the ultimate level of demand for the new product on the basis of the pattern of growth of established products.
  • 8. Presentation of a forecast to the Management  In presenting a forecast to the management, a managerial economist should: 2. Make the forecast as easy for the management to understand as possible. 3. Avoid using vague generalities. 4. Always pin-point the major assumptions and sources. 5. Give the possible margin of error. 6. Avoid making undue qualifications. 7. Omit details about methodology and calculations. 8. Make use of charts and graphs as much as possible for easy comprehension.
  • 9. Recent trends in demand forecasting 1. More firms are giving importance to demand forecasting than a decade ago. 2. Since forecasting requires close cooperation and consultation with many specialists, a team spirit has developed. 3. Better kind of data and improved forecasting techniques have been developed. 4. There is a greater emphasis on sophisticated techniques such as using computers. 5. New products’ forecasting is still in infancy. 6. Forecasts are usually broken down in monthly forecasts. 7. In spite of the application of newer and modern techniques, demand forecasts are still not too accurate. 8. The usefulness of personal feel or subjective touch has been accepted. 9. Top-down approach is more popular then bottom-up approach.
  • 10. Methods of demand forecasting Though statistical techniques are essential in clarifying relationships and providing techniques of analysis, they are not substitutes for judgement. What is needed is some common sense mean between pure guessing and too much mathematics. 1. Survey of buyers’ intentions: also known as Opinion surveys. Useful when customers are industrial producers. (However, a number of biases may creep up). Not very useful for household consumers. Limitation: passive and “does not expose and measure the variables under management’s control” 2. Delphi method: it consists of an effort to arrive at a consensus in an uncertain area by questioning a group of experts repeatedly until the results appear to converge along a single line of the issues causing disagreement are clearly defined. Developed by Rand Corporation of the U.S.A in 1940s by Olaf Helmer, Dalkey and Gordon. Useful in technological forecasting (non-economic variables).
  • 11. Delphi method Advantages 2. Facilitates the maintenance of anonymity of the respondent’s identity throughout the course. 3. Saves time and other resources in approaching a large number of experts for their views. Limitations/presumptions: 5. Panelists must be rich in their expertise, possess wide knowledge and experience of the subject and have an aptitude and earnest disposition towards the participants. 6. Presupposes that its conductors are objective in their job, possess ample abilities to conceptualize the problems for discussion, generate considerable thinking, stimulate dialogue among panelists and make inferential analysis of the multitudinal views of the participants.
  • 12. 3. Expert opinion / “hunch” method To ask “experts in the field” to provide estimates, eg., dealers, distributers ,suppliers industry analysts, specialist marketing consultants, etc. Advantages: 3. Very simple and quick method. 4. No danger of a “group-think” mentality. 4. Collective opinion method Also called “sales force polling”, salesmen are required to estimate expected sales in their respective territories and sections. Advantages: 9. Simple – no statistical techniques. 10. Based on first hand knowledge. 11. Quite useful in forecasting sales of new products. Disadvantages: 13. Almost completely subjective. 14. Usefulness restricted to short-term forecasting. 15. Salesmen may be unaware of broader economic changes.
  • 13. 5. Naïve models Naïve forecasting models are based exclusively on historical observation of sales (or other variables such as earnings, cash flows, etc). They do not explain the underlying casual relationships which produces the variable being forecast. Advantage: Inexpensive to develop, store data and operate. Disadvantage: does not consider any possible causal relationships that underlie the forecasted variable. 3-naïve models 1. To use actual sales of the current period as the forecast for the next period; then, Yt+1 = Yt 2. If we consider trends, then, Yt+1 = Yt + (Yt – Yt-1) 3. If we want to incorporate the rate of change, rather than the absolute amount; then, Yt+1 = Yt (Yt / Yt-1)
  • 14. 6. Smoothing techniques Higher form of naïve models: A. Moving average: are averages that are updated as new information is received. With the moving average a manager simply employs, the most recent observations, drops the oldest observation, in the earlier calculation and calculates an average which is used as the forecast for the next period. Limitations:  One has to retain a great deal of data.  All data in the sample are weighed equally. B. Exponential smoothing: uses weighted average of past data as the basis for a forecast. Yt+1 = aYt + (1-a) Yt or Y new = a Y old + (1-a) Y’ old, where, Y new = exponentially smoothed average to be used as the forecast Y old = most recent actual data Y’old = most recent smoothed forecast a = smoothing constant Smoothing constant (or weight) has a value between 0 and 1 inclusive.
  • 15. Exponential smoothing  . Advantages: Exponential smoothing is a forecasting method easy to use and efficiently handled by computers. Although a type of moving average technique, it requires very little record keeping of past data. This method has been successfully applied by banks, manufacturing companies, wholesalers and other organizations.
  • 16. The following rules of thumb may be given : 2. When the magnitude of the random variations is large, give a lower value to “a” so as to average out the effects of the random variation quickly. 3. When the magnitude of the random variation is moderate, a large value can be assigned to the smoothing constant “a”. 4. It has been found appropriate to have “a” between 0.1 and 0.2 in many systems
  • 17. 7. Analysis of time series and trend projections  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.  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.
  • 18. Analysis of time series and trend projections  Four sets of factors: secular trend (T), seasonal variation (S), cyclical fluctuations (C ), irregular or random forces (I). O (observations) = TSCI Assumptions: 4. The analysis of movements would be in the order of trend, seasonal variations and cyclical changes. 5. Effects of each component are independent of each other.
  • 19. 8. Use of economic indicators The use of this approach bases demand forecasting on certain economic indicators, eg., 2. Construction contracts sanctioned for the demand of building materials, say, cement; 3. Personal income for the demand of consumer goods; 4. Agricultural income for the demand of agricultural inputs, implements, fertilizers, etc,; and 5. Automobile registration for the demand of car accessories, petrol, etc. Steps for economic indicators: 7. See whether a relationship exists between the demand for the product and certain economic indicators. 8. Establish the relationship through the method of least squares and derive the regression equation. (Y= a + bx) 9. Once regression equation is derived, the value of Y (demand) can be estimated for any given value of x. 10. Past relationships may not recur. Hence, need for value judgement.
  • 20. Use of economic indicators  Limitations: 2. Finding an appropriate economic indicator may be difficult. 3. For new products – no past data exists. 4. Works best when the relationship of demand with a particular indicator is characterized by a time lag. Eg., construction contracts will result in a demand for building materials but with a certain amount of time lag.
  • 21. 9. Controlled experiments  Under this method, an effort is made to vary separately certain determinants of demand which can be manipulated, e.g., price, advertising, etc., and conduct the experiments assuming that the other factors remain constant.  Example – Parker Pen Co.  Still relatively new and untried: 4. Experiments are expensive as well as time consuming. 5. Risky – may lead to unfavourable reaction on dealers, consumers, competitors, etc. 6. Great difficulty in planning the study.difficult to satisfy the condition of homogeneity of markets.
  • 22. 10. Judgemental approach  Required when: 2. Analysis of time series and trend projections is not feasible because of wide fluctuations in sales or because of anticipated changes in trends; and 3. Use of regression method is not possible because of lack of historical data or because of management’s inability to predict or even identify causal factors. Even statistical methods require supplementation of judgement: 5. Even the most sophisticated statistical methods cannot incorporate all the potential factors, e.g., a major technological breakthrough in product or process design. 6. For industrial products – if the management anticipates loss or addition of few large buyers, it could be taken into account only through judgement approach. 7. Statistical forecasts are more reliable for larger levels of aggregations.
  • 23. Approach to forecasting 1. Identify and clearly state the objectives of forecasting. 2. Select appropriate method of forecasting. 3. Identify the variables. 4. Gather relevant data. 5. Determine the most probable relationship. 6. For forecasting the company’s share in the demand, two different assumptions may be made: (g) Ratio of company sales to the total industry sales will continue as in the past. (h) On the basis of an analysis of likely competition and industry trends, the company may assume a market share different from that of the past. (alternative / rolling forecasts) 7. Forecasts may be made either in terms of units or sales in rupees. 8. May be made in terms of product groups and then broken for individual products. 9. May be made on annual basis and then divided month-wise, etc.

Editor's Notes

  1. BIT method is the direct method of estimating demand in short run . Process involves direct asking the customer that what they are going to buy for the forth coming time ..the time is usually one year. This is useful when bulk of sales is made to industrial producers. EXAMPLE 1 E conomic times very often publishes survey of “Private Sector Investment Intention” 2 The Centre of monitoring Indian Economy (EMIE) makes an annual survey of INDUSTRIAL INVESTMENT INTENTION OF the Industry DELPHY METHOD is a systematic, interactive forecasting method Based on the principle that forecasts from a structured group of experts are more accurate than those from unstructured groups or individuals The experts answer questionnaires in two or more rounds After each round, a facilitator provides an anonymous summary of the experts’ forecasts from the previous round as well as the reasons they provided for their judgments. Thus, experts are encouraged to revise their earlier answers in light of the replies of other members of their panel. It is believed that during this process the range of the answers will decrease and the group will converge towards the "correct" answer. Finally,
  2. DELPHY METHOD is a systematic, interactive forecasting method Based on the principle that forecasts from a structured group of experts are more accurate than those from unstructured groups or individuals The experts answer questionnaires in two or more rounds After each round, a facilitator provides an anonymous summary of the experts’ forecasts from the previous round as well as the reasons they provided for their judgments. Thus, experts are encouraged to revise their earlier answers in light of the replies of other members of their panel. It is believed that during this process the range of the answers will decrease and the group will converge towards the "correct" answer. Finally,
  3. Expert opinion method ; each expert is asked independently , and this is its advantage advantage of this approach Is that there is no danger that the group of experts develop a group think mentality where independent judgment is impaired by their desire to seen as loyal to conforming members of the group
  4. A model that assumes things will behave as they have in the past.
  5. Smoothing data removes random variation and shows trends and cyclic components All data are weighted equally ………if recent data is more valid why not to give preference to that ,… Mean is not good for estimation income and mean graph are different.
  6. Popular technique for short run forecasting It uses a weighted average of past data as the basic for the forecast It gives weight to more recent past than observation in the more distant past as future is more dependent on the recent past The method is effective when there are randomness and more fluctuation in the data.
  7. Trend projection method is a classical method of business forecasting. This method is essentially concerned with the study of movement of variable through time. The use of this method requires a long and reliable time series data. The trend projection method is used under the assumption that the factors responsible for the past trends in variables to be projected (e.g. sales and demand) will continue to play their part in future in the same manner and to the same extend as they did in the past in determining the magnitude and direction of the variable.
  8. Year income index sales of raco