Article Type : Research Article
Authors : Xu R
Keywords : Modelling; High investment; Shares; Stock market; Economics
The
relationship between investment and shares is established to find the intrinsic
nature. It is found when the best labour is 7.5 the number of shares is 440
thousand with the intersection of 1 RMB which is turnover point. When the best
capital is 1RMB the cost will be 7.5 RMB and the turnover point is 310 thousand
of the number of shares with the 5 RMB. It is found the 50,000Yuan are the
smallest average cost intersecting with 1RMB at any capital with ? of 107638 in
investment. Meantime 50,000 shares and 300,000 shares are turnover point with
1Yuan and 5 Yuan revenue according to best capital. The biggest total share
will happen which attains more than 300,000 shares at Pk=1670 ~6730 and
Pl=1000~4030/unit ie. Low Pl firstly and it will increase with low Pk secondly.
So, we firstly choose low Pl and then low Pk. The smallest shares cost will be
minimum in the condition of labour with high Pk. It is observed when labour is
one the minimum TC is 10,000~20,000 with Pk=3500. The one will be high with
Pk=2000 which reaches more than 500,000.
The
investment and shares is a behaviour with investing much money and requiring
revenue from investment and shares in stock market. This process includes buy
and sale shares in order to form the profile of shares, so it is a process
which completes these two functions in whole process. The profit is calculated
through revenue and shares which is an important factor in this process. In
this paper the revenue has been computed and drawn from their relation with
cost. The revenue? and AC, AVC &AFC which is shares is investigated for
searching their change in these processes. For the better benefit it must be
studied further it can gain the profit use. Since the stability is key as for
this procedure. How we can define stable and low-cost parameter is significant
matter. For the inference the different drawing between profit? cost and
quantity is made to analyze the change and low cost situation in this study.
The constant labour L & capital K is defined to fit to cost value for this
process [1-3]. The least total cost has an important role with the quantity
& labor. Because the least one is evaluate the cost per labor under the
best labor and capital on economics. If the cost is big, it will increase cost
burden. Only if the least cost can decrease the cost price and the reasonable
choose may be used in determining the total cost. Because of its availability
it may be chosen for other factor such as the random price promotion. In this
paper the revenue is adopted from higher value to check the piece and the cost value.
So as to higher revenue the low cost value and low pieces is necessary. For the
sake of the least total cost the best labor and capital has been established
firstly and then determined the least total cost equation with quantity and
labor [4,5].
The
Investment and shares have been established according to modelling with
economic equations that has a certain role in stock market. So, Cobb-Douglas
function is used to complete the modelling. The detail establishment and
modelling is as related literature.
The
Cobb-Douglas function is
Here Production quantity Q; ? is technique coefficient; ? is producing labour; ? is capital elasticity. K is capital; L is labour; AFC is average fixed cost; AVC is average variable cost; AR is the average revenue; TR is total revenue. The calculated constant is ?=107638; ?=1.25; ?=-0.26 respectively. The parameter Pl is labor price and Pk is capital price. They are from 2000 to 3000 and from 5000 to 3000 Yuan respectively. Turnover is in terms of 5Yuan per share and Q is piece of shares. Table 1 shows the parameter of constant value with labor and capital & quantity. It is chosen that 10groups value to acquire average ones. The detail narration is expressed as below (Table 1) (Figure 1).
(a) L=7.5; Pl&Pk=3000 & 5000.
(b) K=60; Pl&Pk=3000&5000
(c) L=20.7; Pl&Pk=3000 & 3000.
(d) K=100; Pl&Pk=3000 & 3000.
e) L=14; Pl&Pk=2000 & 3000.
(f) K=100; Pl&Pk=2000 and 3000.
Figure 1: The relationship between cost and number of shares according to different conditions.
(a) L
(b) K
Figure 2:
The relationship between maximum &marginal production and number of capital
and labor.
Figure 3: The relationship between maximum production and price of labor &capital.
Figure 4: The minimum cost with labor quantity and 100000 pieces under different Pk.
Table 1: The conditions of original parameters and coefficient.
Parameters No. |
l |
K |
Q |
? |
? |
? |
1 |
0.1 |
0.1 |
10?000 |
- |
- |
- |
2 |
0.2 |
0.2 |
20?000 |
- |
- |
- |
3 |
0.3 |
0.3 |
30?000 |
1.69 |
-0.41 |
141391 |
4 |
0.4 |
0.4 |
40?000 |
1.41 |
-0.29 |
111396 |
5 |
0.5 |
0.5 |
50?000 |
1.29 |
-0.22 |
104575 |
6 |
0.6 |
0.6 |
60?000 |
1.22 |
-0.18 |
102107 |
7 |
0.7 |
0.7 |
70?000 |
1.18 |
-0.15 |
101010 |
8 |
0.8 |
0.8 |
80?000 |
1.15 |
-0.13 |
100461 |
9 |
0.9 |
0.9 |
90?000 |
1.13 |
-0.12 |
100166 |
10 |
1 |
1 |
100?000 |
1.12 |
-0.11 |
100000 |
Average |
- |
- |
- |
1.27 |
-0.26 |
107638 |
It
is found when the best labour is 7.5 and 20.7 & 14 the number of shares is
440 thousand with the intersection of 1 RMB which is turnover point from Figure
1(a~f) according to the Pl and Pk from 2000 to 5000. When the best capital is
1RMB the cost will be 310 thousand RMB and the turnover point is 440 thousand
of the number of shares with the 5 RMB in Figure 1(a). So, the balance value is
1~5RMB which could be satisfactory with both situations because the average
revenue 1RMB can’t be intersected with average cost line in the case of the one
higher than 7.5 thousand for example 20.7 & 14. The intersection with 1RMB
is 1050 and 740 thousand in the above two cases. The bigger one accounts for
the trun with 7.5 and 14 &20.7. it is expected that the revenue has been
increased so that the share decreases to normal level. Meantime the labour is
evidently higher according to the Cobb-Douglas function than capital. In Figure
1(b, d &f) the normal share value exhibits the normal one will be formed in
this study. The same value is from 60 to 300 thousand with 5 RMB and 1RMB
respectively whatever capital variation is here at different Pl and Pk.
Therefore, 1RMB is higher than 100 thousand shares and promoting is necessary
(Figure 2).
From
Figure 2 the best total shares will increase when the K &L increases from
40 to 180 and from 5 to 22 respectively. It is under parameter with
Pl=1000~4030 and Pk=1670~6730. The average shares will increase too from 450 to
1,000 thousand too while capital increases. The best shares lie in 22,000
thousand Yuan. It explains that the increasing capital will increase the
revenue. When the price of labor and capital increase the maximum number of
shares will increase. It ranges from 300 to 22,000 shares. It expresses that
increasing the price will cause maximum shares increase. MPL maintains 200
thousand level meanwhile MPK stays 15~31.3 thousand (Figure 3).
In Figure 3 the TP and Pl&Pk relationship has been exhibited. The TP will decrease with the Pl and Pk increases. Meantime the high quantity is Tp-Pl with the same production one. It explains that Pk is more effective parameter than Pl. The quantity of Pl is bigger than Pk. So Pl>Pk is the effective turn. Tp decreases from 22,000 to 2,500 while Pl and Pk increase from 1,800 to 6800 and 1,000 to 4,000 respectively (Figure 4).
In Figure 4 it is expressed that the minimum cost will increase with the labor increasing. Meantime it increases when the Pk increases from 2000 Yuan to 8000 Yuan. In short, the AC will intersect with AR ie shares so it is benefit to us if the turnover point is small. The smallest shares will be in the condition of capital being 100Yuan with labour of 0.001 and Pk being 35000 Yuan besides labour with high Pk of 2000 which accounts for higher Pl related to Pk. It reaches the maximum value with minimum cost TC of 10,000 with laobr of 0.02. If extension the curve it is observed when labour is one the minimum TC is 10,000~20,000 with Pk=3500. The one will be high with Pk=2000 which reaches more than 500,000.
·
The biggest total cost
has been established to compare the labor, capital, and piece. It is found the
50,000Yuan are the smallest average cost intersecting with 1RMB at any capital
with ?=107638 in investment. Meantime 50,000 shares and 300,000 shares are turnover
point with 1Yuan and 5 Yuan revenue according to best capital.
·
The biggest total share
will happen which attains more than 300,000 shares at Pk=1670 ~6730 and
Pl=1000~4030/unit ie. Low Pl firstly and it will increase with low Pk secondly.
So, we firstly choose low Pl and then low Pk. The smallest shares cost will be
minimum in the condition of labor with high Pk.