Article Type : Research Article
Authors : Xu R, Hur B, Lim S, Reddy NS, Kim K, Kim J and Kim Y
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 29 the number of shares are 63
thousand with the intersection of 5 RMB which is turnover point. When the best
capital is 5RMB the best quantity will be 63 thousand shares with labor
increasing. Meantime the biggest total share will happen which attains from 500
to 4,000 thousand when the total cost is 100,000Yuan. The smallest shares cost
will be minimum in the condition of labor with high Pk. It is observed when
laobr is one the minimum TC is 5,000~15,000 according to Pk=800 and 280Yuan
respectively.
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 relationship 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 labor 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 evaluating 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 [4,5]. 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 [6,7]. In the study the detail research has
been completed with low investment of 1000 shares Now we discuss the detailed
search with high investment of 100,000 in this paper. We looked forwards to
finding more reasonable one by this study. Through parameters of shares and
cost the destination with low cost and the least cost will be hoped to find.
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 ?=106086; ?=1.25; ?=-0.2 respectively. The parameter Pl is labor price and Pk is capital price. They are from 200 to 300 and from 300 to 800 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) K=375; Pl & Pk=300&800
(a) L=29; Pl & Pk=300 &800
(a) K=375; Pl & Pk=200&800
(a) L=19.76; Pl & Pk=200&800
Figure 1: The relationship between cost and number of shares according to different conditions.
(a) K
(a) L
Figure 2: The relationship between maximum &marginal production and number of capital and labor.
(a) Pk=800~2800 Yuan
(a) Pk=750~1500 Yuan
Figure 3: The minimum cost with labor quantity and 100,000 pieces under different Pk.
It is found when the best labour is from 19 to 29 the number of shares are 250 thousand with the intersection of 1 RMB in Figure 1(a) with K=375 which is turnover point from Figure 1(a~d) according to the Pl and Pk from 200 to 800. When the best capital is 375RMB the turnover point is 63 thousand of the number of shares with the 5 RMB in Figure 1(a). So the balance value is 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 labor of 19 for example 29. The intersection with 1RMB is 250 and 300 thousand in the above two cases. It excesses big the 100,000 so the 1RMB is insufficient which needs to be promoted. The bigger one which accounts for the turn with more than 5RMB is available.
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 |
11 |
1.1 |
1.1 |
110,000 |
1.11 |
-0.10 |
99904 |
12 |
1.2 |
1.2 |
120,000 |
1.10 |
-0.09 |
99849 |
Average |
- |
- |
- |
1.24 |
-0.18 |
106086 |
It
is expected that the revenue has been increased so that the share decreases to
normal level. Meantime the labor is somewhat higher according to the
Cobb-Douglas function than capital. In Figure 1(a & b) the normal share
value exhibits the normal one will be formed in this study. The same value is
from 100 to 300 thousand with 5 RMB and 1RMB respectively at Pl =200 and
Pk=800. Therefore, because the intersection with 1RMB is higher than 100
thousand shares and promoting revenue is necessary for the sake of sale. To say
more if labor increases share will increase. The share will increase from 900
to 1,000 thousand when the labour is from 19 to 29. From Figure 2 the best
total shares will increase when the K &L increases from 16 to 60 and from
18 to 7.5 respectively in the total cost of 100,000 Yuan. It is under parameter
with Pl=1000~4030 and Pk=1670~6730. The average shares will increase too from
250 to 500 thousand too while capital increases. The best shares lie in
500~4,000 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 500 thousand to 4000 thousand shares when
capital ranges from 16 to 60. It expresses that increasing the price will cause
maximum shares increase. MPL maintains 250 thousand level meanwhile MPK stays
20 thousand (Figure 2,3).
In Figure 3 it is
expressed that the minimum cost will increase with the labor increasing.
Meantime it increases when the Pk increases from 800 Yuan to 2,800 Yuan. The
smallest shares will be in the condition of capital being 10,000Yuan with labor
of 1 and Pk being 800 Yuan besides labor with high Pk of 2800 which accounts
for higher Pl related to Pk. It reaches the maximum value with total cost TC of
10,000 Yuan at laobr of 1. If extending the curve it is observed when laobr is
one the minimum TC is 5,000 Yuan with Pk=800 Yuan. The one will be high with
the Pk which reaches maximum. Total cost has the trendency that approaches one.
It explains the availability has been formed in this study. The one with Pk=800
Yuan is the smallest total cost wherein Pk=2,800 Yuan is the highest cost with
15,000 Yuan on the contrary. The middle one is 10,000 Yuan with Pk=1800. the
effective turn is Pk with 800>1800>2800. Through comparing the two
figures in Figure 3(a & b) the Pk=800~2800 has low total cost than
Pk=750~1500. That may be caused by the parameter Pl and others.
It
is found when the best labour is 29 the number of shares are 63 thousand with
the intersection of 5 RMB which is turnover point. When the best capital is
5RMB the best quantity will be 63 thousand shares with labor increasing.
Meantime the biggest total share will happen which attains from 500 to 4,000
thousand when the total cost is 100,000Yuan. The smallest shares cost will be
minimum in the condition of labor with high Pk. It is observed when laobr is
one the minimum TC is 5,000~15,000 according to Pk=800 and 280Yuan
respectively.