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Forecasting

Successful operations of the companyEffective planningAccurate forecasting

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Слайд 1 Forecasting

Forecasting

Слайд 2Successful operations of the company
Effective planning
Accurate forecasting

Successful operations of the companyEffective planningAccurate forecasting

Слайд 3Forecasting techniques:
Mechanical extrapolation


Barometric methods

Leading indicators

Compound indexes Diffuse indexes
Collection of opinions and reviews of goals
Econometric methods

The simplest model

Time series analysis

Forecasting techniques:Mechanical extrapolationBarometric methods        Leading indicators

Слайд 4Mechanical extrapolation
Forecasting techniques
Originally extrapolation methods are mechanical
and not closely linked

to economic theory

Mechanical extrapolationForecasting techniquesOriginally extrapolation methods are mechanicaland not closely linked to economic theory

Слайд 5However, they are widely used by professional economists who make

forecasting
Because of they are easy to apply and satisfy reasonably

the requirements of the management
However, they are widely used by professional economists who make forecastingBecause of they are easy to apply

Слайд 6However, they are widely used by professional economists who make

forecasting
Because of they are easy to apply and satisfy reasonably

the requirements of the management
However, they are widely used by professional economists who make forecastingBecause of they are easy to apply

Слайд 7Mechanical extrapolation
The simplest models:
All future values of the studied variable

in some way are a function of its present or

recent status

^

Forecasting techniques:

] Y – the experimental value of the analyzed variable
Y – the predicted value of the analyzed variable
t – index to distinguish periods

^

Mechanical extrapolationThe simplest models:All future values of the studied variable in some way are a function of

Слайд 8Mechanical extrapolation
Forecasting techniques:
The simplest models:
Unchanging model
The predicted value of

the variable for the next period will be equal to

its value in the present period

Y t+1 = Y t

^

Proportionaly - changing model

The value of a variable changes from current to next period will be proportional to the value of a variable changes from the previous period to the current period

Y t+1 = Y t + k ∆ Y t

^

Evaluation of k based on retrospective information.
K = 1 is a uniformly changing the model

Mechanical extrapolationForecasting techniques:The simplest models: Unchanging modelThe predicted value of the variable for the next period will

Слайд 9The vast majority of all economic, political and social decisions

are made based on considered the simplest models
For most short-term

predictions the simplest models are the most easy ways of forecasting, since they are easy to use and requires minimal information for calculating

Mechanical extrapolation

Forecasting techniques:

The simplest models:

The vast majority of all economic, political and social decisions are made based on considered the simplest

Слайд 10Time series analysis:
Time series consist of values corresponding to certain

points or periods
Ordered in time indicators: sales, production volume, prices….
Mechanical

extrapolation

Forecasting techniques:

Time series analysis:Time series consist of values corresponding to certain points or periodsOrdered in time indicators: sales,

Слайд 11Why fluctuation is typical for the time series?
Usually there are

four sources of variation in economic time series, :
Trend (T)
Seasonal

changes (S)
Cyclic changes (C)
Irregular forces (I)

Time series analysis:

Mechanical extrapolation

Forecasting techniques:

Why fluctuation is typical for the time series?Usually there are four sources of variation in economic time

Слайд 121) Trend (Т)
Is a long-term increase or decrease of series
Seasonal

changes (S)
Due to weather conditions and habits appear almost at

the same time of a year (for example, New Year, Easter and other holidays, during which various purchases are made)

Time series analysis:

Mechanical extrapolation

Forecasting techniques:

1) Trend (Т)Is a long-term increase or decrease of seriesSeasonal changes (S)Due to weather conditions and habits

Слайд 133) Cyclic changes (С)
Cover periods of several years, reflect the

level of economic boom or recession
Irregular forces (I)
Strikes, war. Inconsistent

in their effect on individual series, but, nevertheless, be taken into account

Time series analysis:

Mechanical extrapolation

Forecasting techniques:

3) Cyclic changes (С)Cover periods of several years, reflect the level of economic boom or recessionIrregular forces

Слайд 14Seasonal changes and the method of moving average
Moving average is

calculated by summing the values for each period for some

selected period of time and then dividing the resulting amount by the number of periods

Seasonal changes can be taken into account in the forecast using the seasonal index, which can be calculated by the method of moving average

Time series analysis:

Mechanical extrapolation

Forecasting techniques:

Seasonal changes and the method of moving averageMoving average is calculated by summing the values for each

Слайд 15Regroup presented data:
Time series analysis:
Mechanical extrapolation
Forecasting techniques:
Using the data presented

in the table, calculate the moving average and define seasonal

index

Volume of sales

quarter

total

Regroup presented data:Time series analysis:Mechanical extrapolationForecasting techniques:Using the data presented in the table, calculate the moving average

Слайд 16Step 1: Moving average over the four periods is calculated

using a consistent set of sales for the 4 quarters
Each

subsequent calculation does not include the first quarter and adds the next quarter

Step 2: Centralized moving average for each quarter is calculated as the average of each consecutive pair of 4-period moving averages

Step 3: Seasonal indexes are calculated by dividing the actual volume of sales for the corresponding quarter by centralized moving average for the same period

Step 4: arrange seasonal indexes quarterly

quarter

Year


Sales

4-period
moving
average

centralized
moving
average

Seasonal
index

Step 1: Moving average over the four periods is calculated using a consistent set of sales for

Слайд 17Step 5: Make normatization: the average value of the four

average seasonal indexes must be equal to 1
Average value is

1.01: adjust seasonal indices up or down, revealing trends and maintaining the average value of the four indexes equal to 1

0,99 1,38 0,98 0,65

Year

Average Seasonal index

total

Data to calculate Seasonal indexes

Step 5: Make normatization: the average value of the four average seasonal indexes must be equal to

Слайд 18Q1: 316 (для 1989) * 0,99 = 312,84 $
Q2: 322

(для 1989) * 1,38 = 444,36 $
Q3: 307 (для 1988)

* 0,98 = 300, 86 $
Q4: 311 (для 1988) * 0,65 = 202,15 $

Average Seasonal index
0,99 1,38 0,98 0,65

4-period
moving
average

centralized
moving
average

Seasonal
index


Sales

Step 6: preparation of the forecast for each quarter of the coming year: multiply the last centered moving average for the quarter by its seasonal index

quarter

Year

Q1: 316 (для 1989) * 0,99 = 312,84 $Q2: 322 (для 1989) * 1,38 = 444,36 $Q3:

Слайд 19Designing of trend
As a forecasting method assumes that started change

in the variable will continue in the future
The most widely

used method of trend detection is regression analysis, namely the method of least squares

The method consists of the selection of a regression line according to the observations so that the squares of their deviations from the regression line were minimal

Time series analysis:

Mechanical extrapolation

Forecasting techniques:

Designing of trendAs a forecasting method assumes that started change in the variable will continue in the

Слайд 20] Y – the observed value of the analyzed variable

Y – the predicted value of the analyzed variable
^
The sum

of the squared deviations between Y and Y is written as:

^

^

Regression line is presented by: Y = a + bt, where a and b - parameters of evaluation, t – number of period

^

Taking partial derivatives of D function relative to a and b and equate them with zero, we obtain:

To find the values of the parameters a and b, it is necessary to solve the system of equations

] Y – the observed value of the analyzed variable Y – the predicted value of the

Слайд 21Trend estimates are more reliable if they are based on

data released from seasonal effects
Seasonal effects are smoothed by a

moving average
Trend estimates are more reliable if they are based on data released from seasonal effectsSeasonal effects are

Слайд 22Y = 284,382 + 1,632 t
Year
centralized moving Average Y
Period
total

Y = 284,382 + 1,632 tYearcentralized moving Average YPeriodtotal

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