Economic analysis in the input-output model (direct consumption coefficient, etc)

1. Matrix of direct consumption coefficient and Direct Consumption Coefficient
(1) Definitions and relationships between direct consumption, indirect consumption, and full consumption
1. Directly consume p87
2. Indirect consumption p89
3. Full consumption = direct consumption + all indirect consumption p89
4. Relationship between the three elements
Take steel produced by steel as an example.
 

 
 
(2) economic significance of direct consumption coefficient p87
The direct consumption coefficient is recorded as (I, j =, 3... N) it refers to the value of goods or services directly consumed by the total output of the product (or industry) Department of the J product (or industry) in the production and operation process.
(3) calculation formula and example of direct consumption coefficient p87
The value of goods or services directly consumed by the I product department in the production and operation of this product (or industry) department is removed using the total input of the J product (or industry) department, which is expressed in the formula:
(I, j = 1, 2, 3... N)
Take table 3-2 of p82 as an example. (Please calculate)
(4) Direct Consumption Coefficient Matrix p87
The direct consumption coefficient of each product (or industry) department is expressed in the form of a table, that is, a table of direct consumption coefficient or a matrix of direct consumption coefficient, which is usually represented by the letter. Calculation formula:
 
(5) several conclusions (which can be summarized by students)
1,
2. The number is the square of the product department.
3. reflect the degree of direct connection between production technologies of various product departments
4. As a media variable between intermediate products and total products
5. As the basic data for calculating the total consumption coefficient
Ii. Matrix of full consumption coefficient and full Consumption Coefficient
(1) Economic Significance of the complete consumption coefficient and its relationship with the direct consumption coefficient p89
Total consumption coefficient, which is recorded as (I, j = 1, 2, 3... N) refers to the sum of direct and indirect consumption (total consumption) of goods or services in the I product department when the product department of the J product department provides the final use of a unit.
Relative to the total product, the direct consumption coefficient indicates the quantitative relationship between the intermediate product and the total product. The full consumption coefficient indicates the quantitative relationship between the intermediate product and the final product.
(2) P89-90 of formula for calculating total consumption coefficient and Matrix
The full consumption coefficient of each product department is presented in the form of a table, that is, a full consumption coefficient table or a matrix of full consumption coefficients, which is usually represented by the letter B.
1. Derivation of the formula p89
(I, j = 1, 2 ,..., N)
 
At the same time, the two ends of the equation Add a matrix I, and then multiply the left by (I-A) at the same time:
(I-A) (I + B) = (I-A )()
=
=
When M tends to be infinite, the right side of the equation is the matrix of units:
 
 
2. Derivation of Formulas
 
 
 

The two ends of the equation are multiplied right at the same time:
 
 
(3) Calculation Method of matrix with full Consumption Coefficient
1. Elementary Line Transformation
2. Method for Finding the inverse matrix
3. calculation steps of using EXCEL Software
Step 1: Start Excel and enter matrix;
Step 2: Calculate the (I-A) according to the Excel calculation function );
Step 3: Click the Excel help menu and select "Micrsoft Excel help (h) F1"
Step 4: Enter Lotus, click search, click Help by converting to lotus1-2-3, and then click Details"
Step 5: Select "data" for the displayed dialog box, and then select "matrix". If the inverse is obtained, select "reverse". If the matrix is multiplied, select "Multiply. In the future, enter the required data as required. Finally, you can output the result.
Iii. Matrix of full demand coefficient and full demand coefficient
(1) total demand coefficient P90
The full demand coefficient reflects the total products required by the final product of the production unit, expressed in. This coefficient not only contains the economic content of the full consumption coefficient, but also reflects the final products produced by each department. The number is:
At that time
At that time
(2) Full demand coefficient matrix
The full requirements coefficient of each product department is presented in the form of a table, that is, a full coefficient table or a full coefficient matrix is required, usually represented by a letter T. The formula is as follows:
 
Iv. Intermediate Consumption Coefficient and added value coefficient
(1) intermediate consumption coefficient p94 (Qian Shu)
The intermediate consumption coefficient is the ratio of the intermediate consumption of each department to the total output of the Department. It is also equal to the sum of columns in the directly consumed coefficient matrix. The formula is as follows:
 
(2) added value coefficient p94 (Qian Shu)
The value-added coefficient is the ratio of the value-added of each department to the total output of the Department. It is equal to the sum of the depreciation coefficient, labor compensation coefficient, and net income coefficient. The formula is as follows:
 
,,
V. Distribution Coefficient (intermediate usage and final usage)
Intermediate usage =
Final usage =
Vi. input-output model
(1) Product Model (horizontal model) P90-91

 
(2) Value Model (column model) P91-92