The method of calculation of the units of chain linkage
Expression
|
|
Calculations of changeable units
|
|
|
Plan
|
Conditional1
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Conditional2
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Actual
|
Q=xu
|
Total changeQx-Qr
|
Xr * Yr
|
Xx * Yr
|
x
|
Yx*Xx
|
1
|
First Factor(x) effect
|
X
|
x
|
x
|
Xx * Yr - Xr* Yr
|
2
|
The effect of the second factor (y)
|
X
|
x
|
x
|
Yx xx - xx* Yr
|
Q=xuz
|
Total changeQx-Qr
|
Xr * Yr* Zr
|
Xx * Yr * Zr
|
* Yx xx * Zr
|
Xx*Yx* Zx
|
1
|
First Factor(x) Effect
|
X
|
x
|
x
|
Xx * Yr * Zr- Xr * Yr *Zr
|
2
|
The effect of the second factor (y)
|
X
|
x
|
x
|
Xx*Yx * Zr -Xx* Yr *Zr
|
3
|
The Third Factor (z)Effect
|
X
|
x
|
x
|
Xx*Yx* Zx-Xx*Yx* Zr
|
Q=x/y
|
Total change
Qx-Qr
|
Xr/Yr
|
Xx/Yr
|
x
|
Xx / Yx
|
1
|
First Factor(x) Effect
|
X
|
X
|
x
|
Xx/Yr-Xr/Yr
|
2
|
The Second Factor(u)effect
|
X
|
X
|
x
|
Xx/Yx–Xx/Yr
|
Q = z/x +u
|
Total changeQx-Qr
|
Zr / Xr+ Yr
|
Zx / Xr + Yr
|
Zx / Xx + Yr
|
Zx/ Xx+Yx
|
1
|
First Factor(x) Effect
|
X
|
X
|
x
|
Zx/ Xr+Yr - Zr /Xr+Yr
|
2
|
The effect of the second factor (y)
|
X
|
x
|
x
|
Zx/ Xx+Yr- Zx/ Xr+Yr
|
3
|
The Third Factor (z)Effect
|
X
|
x
|
x
|
Zx/ Xx+Yx- Zx/ Xx+Yr
|
This can be seen in the calculation of the factors affecting profitability and profitability of sales. Profitability is determined by the following link
Rc = Syaf/Sst
This is a gross profit of S -f sales
Sst-sale is pure revenue
Table 14
Calculation of factors affecting profitability and profitability of sales
Indicators__Expression__Last_year__Report_year'>Indicators
|
Expression
|
Last year
|
Report year
|
Change
|
Growth
|
Net Profit from Sales , mln UZS
|
Sst
|
100
|
125
|
+25
|
1.25
|
Costof products sold,million
|
Smt
|
80
|
90
|
+10
|
1.12
|
Gross profit for sale , UZS billion
|
Syaf
|
20
|
35
|
+15
|
1.75
|
Sales profitability ,%
|
Rc
|
0.20
|
0.28
|
+0.08
|
1.40
|
Units that affect the gross profit change
|
X
|
x
|
x
|
Change of pure income
|
X
|
125-100
|
+25
|
Change in cost of products sold
|
X
|
80-90
|
-15
|
Factors affecting profitability change
|
X
|
x
|
x
|
Change in ,%
|
OST
|
20 / 125-20 / 100 = 0.16-0.20
|
-0.04
|
Gross Profit Change in Sales,%
|
OSYAF
|
35 / 125-20 / 125 = 0.28-0.16
|
+0.12
|
Absolute difference method
An absolute difference method is applied where the number of factors affecting the final figure has two or more impact units. The difference in the content of the content that affects the outcome is determined by the fact that the remaining elements are multiplied by the actual, actual (in series) sequence.
An absolute difference method is a simple model of traditional methods and often applies to performance and performance indicators.
Its important feature is the strict definition of consistency and accuracy in calculating the effects of omissions. In the analytical sequence, firstly, qualitative indicators are grouped into knowledge, quantitative indicators on the next lines.
For example, we can calculate the factors that affect the product's production volumes by using absolute differences. Factors affecting the product size include: the change in the average annual value of the key assets, the effectiveness of the use of fixed assets (changes in key assets).
Table 15
Which affects the volume of work associated with the impact of factors analysis methods
№
|
Indicators
|
Last year
|
Report year
|
The difference is +, -
|
Growth,%
|
1
|
Volume of goods (works, services), mln UZS
|
Q0
|
Q1
|
Q
|
Q1/Q0*100-100
|
2
|
Average annual value of fixed assets, UZS mln
|
A0
|
A1
|
A
|
A1/Q0* 100-100
|
3
|
Return on fixed assets (fund reversal), UZS
|
F0
|
F1
|
F
|
(Q1/A1)/(Q0/A0) * 100-100
|
4
|
Factors Effect
|
x
|
x
|
x
|
x
|
4.1
|
Impact of change in average annual value of fixed assets, UZS mln
|
AxF0=
|
At
|
x
|
4.2
|
Effect of change in basic assets, mln.UZS
|
FxA1 =
|
Ft
|
x
|
In the absolute differentiation, the three interacting units are calculated using the following link:
When applying the effects of factors to three factors, the following connections are performed.
The method of applying the absolute difference method when the number of units affecting the result is three
t / r
|
Curriculum Indicators
|
Last year
|
Report year
|
The difference +, -
|
Growth,%
|
A
|
B
|
C
|
D
|
E(4-3)
|
H(4/3*100-100)
|
1
|
The result
( Q = X * Y * Z )
|
Q0
|
Q1
|
Q
|
Q1/Q0*100-100
|
2
|
First Impact Unit (X)
|
X0
|
X1
|
X
|
X1/X0 * 100-100
|
3
|
Second Impact Unit(Y)
|
Y0
|
Y1
|
Y
|
Y1/Y0 * 100-100
|
4
|
Third Impact Unit(Zr)
|
Z0
|
Z1
|
Z
|
Z1/Z0 * 100-100
|
5
|
Calculation of the effects of factors
|
X
|
X
|
x
|
5 .1
|
The first factor to calculate theeffectiveness of the calculation
|
X * Yr * Zr
|
Qx
|
x
|
5 .2
|
The first factor to calculate the effectiveness of the calculation
|
Y * Xx * Zr
|
Qy
|
x
|
5/3
|
The first factor to calculate the effectiveness of the calculation
|
Z * Yx * Xx
|
Qz
|
x
|
Relative difference method.
By using this method in the analysis, it is possible to calculate the effect of factors by the relative values, except absolute indicators, and to calculate the effects of factors on the results. This method also requires the calculation of an explicit sequence of changes in the result, with the effect of factors, based on absolute expressions, in percentages.
Table 17
Methods of calculation of factors affecting the resultant outcome
Indicators
|
Relative growth of factors , %
|
Difference from previous account,%
|
Factors Effect
|
Growth of Primary Impact Factor (A)
|
A%(A1/A0*100)
|
A% -100 = Qa
|
Qa * Qr
|
The second factor of action (B)
|
B% (B1/B0 * 100)
|
B% -A% = Qb
|
Qb * Qr
|
Increase of Third Impact Factor ( C )
|
C% (C1/C0*100)
|
C% -B% = Qc
|
Qc * Qr
|
Factor of fourth factor ( d )
|
D% (D1/ D0*100)
|
D% -C% = Qd
|
Qd * Qr
|
Changes in the result indicator
|
Qx-Qr=(Qa*Qr) + (Qb*Qr) + (Qc*Qr) + (Qd*Qr)
|
Economical mathematical methods and their essence.
Use of mathematical methods to effectively and efficiently analyze the effectiveness and effectiveness of analytical work, the depth of the analysis and the depth of the matter. Economic mathematical methods can also be used to create a computer algorithm for solving the problem.
Economic mathematical methods are highly effective because of time scales, speed, accuracy, programming, and results as defined in capacities.
Economic mathematical methods increase the economic analysis capabilities, allowing for a more accurate solution of issues of more complex and complex character.
Using mathematical methods in financial analysis requires a number of specific conditions to be considered in the business. The main ones are: full-fledged enterprise economics, information-based technology, economic mathematical models, improved information sources, employee qualifications, etc.
Mathematical methods can be composed of integral, logorphism, correlation, regression, mathematical programming, and theoretical types of games.
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