Finance: Investment, Bond Value, Stock Price, Portfolio Analysis
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This document provides information on finance topics such as investment, bond value, stock price, and portfolio analysis. It includes calculations and explanations for various financial concepts.
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Running head: FINANCE
Finance
Name of the Student:
Name of the University:
Authors Note:
Finance
Name of the Student:
Name of the University:
Authors Note:
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FINANCE
1
Table of Contents
Part 1:.........................................................................................................................................2
1. Indicating how much money will be accumulated from the investment:..............................2
2. Indicating the investment needed for supporting the payment in future:...............................3
3.a Calculating the marketing value of the bond:......................................................................3
3.b Calculating the marketing value of the bond if interest rate rises to 6%:............................4
3.c Mentioning why the bond value has changed with the change in the interest rate:.............4
4. Calculating the price of the stock in 3 years and 15 years:....................................................5
Part 2:.........................................................................................................................................6
1. Calculating the historical returns of the portfolios, while deriving the average return, and
standard deviation:.....................................................................................................................6
2. Explaining the expected return and risk of finance:...............................................................6
3. Discussing about diversification, while detecting it impact on risk and return:....................7
4. Indicating the method for measuring systematic risk component of an asset:.......................7
5. Explaining what is meant by risk aversion and detecting the different stages of investing
life cycle:....................................................................................................................................8
6. Recommending the best possible portfolio for each of the customer types:..........................8
References and Bibliography:..................................................................................................10
1
Table of Contents
Part 1:.........................................................................................................................................2
1. Indicating how much money will be accumulated from the investment:..............................2
2. Indicating the investment needed for supporting the payment in future:...............................3
3.a Calculating the marketing value of the bond:......................................................................3
3.b Calculating the marketing value of the bond if interest rate rises to 6%:............................4
3.c Mentioning why the bond value has changed with the change in the interest rate:.............4
4. Calculating the price of the stock in 3 years and 15 years:....................................................5
Part 2:.........................................................................................................................................6
1. Calculating the historical returns of the portfolios, while deriving the average return, and
standard deviation:.....................................................................................................................6
2. Explaining the expected return and risk of finance:...............................................................6
3. Discussing about diversification, while detecting it impact on risk and return:....................7
4. Indicating the method for measuring systematic risk component of an asset:.......................7
5. Explaining what is meant by risk aversion and detecting the different stages of investing
life cycle:....................................................................................................................................8
6. Recommending the best possible portfolio for each of the customer types:..........................8
References and Bibliography:..................................................................................................10
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Part 1:
1. Indicating how much money will be accumulated from the investment:
Particulars Value
Current savings (A) $ 15,000.00
Simple interest (B) 13%
Year (C) 3.00
Interest (D=A*B*C) $ 5,850.00
Amount at the end of 3 years (A+D) $ 20,850.00
Particulars Value
Amount at the end of 3 years $ 20,850.00
Compounded monthly 10.00%
R 0.83%
Year 12.00
T 144.00
Amount at the end of 15 years 20,850.00*(((1+(0.83%))^144))
Amount at the end of 15 years $ 68,881.08
Particulars Value
Amount at the end of 15
years $ 68,881.08
Compounded quarterly 9%
R 0.0225
Year 8
T 32
Amount at the end of 23
years 68,881.08*(((1+(0.0225))^32))
Amount at the end of 23
years $ 140,386.74
Particulars Value
Amount at the end of 23 years $ 140,386.74
Compounded daily 15%
R 0.000410959
Year 2
T 730
2
Part 1:
1. Indicating how much money will be accumulated from the investment:
Particulars Value
Current savings (A) $ 15,000.00
Simple interest (B) 13%
Year (C) 3.00
Interest (D=A*B*C) $ 5,850.00
Amount at the end of 3 years (A+D) $ 20,850.00
Particulars Value
Amount at the end of 3 years $ 20,850.00
Compounded monthly 10.00%
R 0.83%
Year 12.00
T 144.00
Amount at the end of 15 years 20,850.00*(((1+(0.83%))^144))
Amount at the end of 15 years $ 68,881.08
Particulars Value
Amount at the end of 15
years $ 68,881.08
Compounded quarterly 9%
R 0.0225
Year 8
T 32
Amount at the end of 23
years 68,881.08*(((1+(0.0225))^32))
Amount at the end of 23
years $ 140,386.74
Particulars Value
Amount at the end of 23 years $ 140,386.74
Compounded daily 15%
R 0.000410959
Year 2
T 730
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3
Amount at the end of 25 years 140,386.74*(((1+(0.0.000410959))^730))
Amount at the end of 25 years $ 189,490.60
Particulars Value
Bonus payment $ 320.00
Time 12
Interest 12%
Future value (A) $ 7,722.60
Amount at the end of 25 years (B) $ 189,490.60
Total Payment after 25 years (C=A+B) $ 197,213.20
Total money that will be accumulated after 25 years is at the levels of $197,213.20.
2. Indicating the investment needed for supporting the payment in future:
Year No of week Payment PV of the Payment
1 52 2,00,000 $ 186,022.54
2 104
3 156 1,30,000 $ 104,604.43
4 208
5 260 96,000 $ 66,826.56
6 312
7 364
8 416 3,12,000 $ 174,758.87
9 468
10 520 12,50,000 $ 605,711.48
Total Investment needed $ 1,137,923.89
The current investment of $1,137,923.89 needs to be conducted for supporting the
future payments in building the project.
3.a Calculating the marketing value of the bond:
Particulars Value
FV $ 100,000
Coupon rate 8.25%
C 0.04125
3
Amount at the end of 25 years 140,386.74*(((1+(0.0.000410959))^730))
Amount at the end of 25 years $ 189,490.60
Particulars Value
Bonus payment $ 320.00
Time 12
Interest 12%
Future value (A) $ 7,722.60
Amount at the end of 25 years (B) $ 189,490.60
Total Payment after 25 years (C=A+B) $ 197,213.20
Total money that will be accumulated after 25 years is at the levels of $197,213.20.
2. Indicating the investment needed for supporting the payment in future:
Year No of week Payment PV of the Payment
1 52 2,00,000 $ 186,022.54
2 104
3 156 1,30,000 $ 104,604.43
4 208
5 260 96,000 $ 66,826.56
6 312
7 364
8 416 3,12,000 $ 174,758.87
9 468
10 520 12,50,000 $ 605,711.48
Total Investment needed $ 1,137,923.89
The current investment of $1,137,923.89 needs to be conducted for supporting the
future payments in building the project.
3.a Calculating the marketing value of the bond:
Particulars Value
FV $ 100,000
Coupon rate 8.25%
C 0.04125
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FINANCE
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Years 6.00
T 12.00
Yld 11.50%
R 0.0575
Market price
((100,000*0.4125) *
(((1-((1+0.0575)^-12))/0.0575))) + (100,000 /
(((1+0.0575)^12)))
Market price 86,188
3.b Calculating the marketing value of the bond if interest rate rises to 6%:
Particulars Value
FV $ 1,00,000
Coupon rate 8.25%
C 0.04125
Years 6.00
T 12.00
Yld 6.00%
R 0.03
Market price
((100,000*0.4125) *
(((1-((1+0.03)^-12))/0.03))) + (100,000 /
(((1+0.03)^12)))
Market price 111,198
3.c Mentioning why the bond value has changed with the change in the interest rate:
The calculations in the above tables directly represent the market value of the bond
under two different interest rates. The change in the overall interest rate has a relatively
altered the overall market price of the bond and increase the values from the levels of
$86,188 to $111,198. The change in the overall interest rates from the levels of 11.50 % to
6% as a relatively altered the value of the bond. The interest rates are relatively considered
the minimum interest rates that can be provided from restless treasury bonds. Therefore, the
alterations in the market interest rate for directly increase or decrease the overall demand for
the bones, which will affect their market price. The rising interest rates would eventually
4
Years 6.00
T 12.00
Yld 11.50%
R 0.0575
Market price
((100,000*0.4125) *
(((1-((1+0.0575)^-12))/0.0575))) + (100,000 /
(((1+0.0575)^12)))
Market price 86,188
3.b Calculating the marketing value of the bond if interest rate rises to 6%:
Particulars Value
FV $ 1,00,000
Coupon rate 8.25%
C 0.04125
Years 6.00
T 12.00
Yld 6.00%
R 0.03
Market price
((100,000*0.4125) *
(((1-((1+0.03)^-12))/0.03))) + (100,000 /
(((1+0.03)^12)))
Market price 111,198
3.c Mentioning why the bond value has changed with the change in the interest rate:
The calculations in the above tables directly represent the market value of the bond
under two different interest rates. The change in the overall interest rate has a relatively
altered the overall market price of the bond and increase the values from the levels of
$86,188 to $111,198. The change in the overall interest rates from the levels of 11.50 % to
6% as a relatively altered the value of the bond. The interest rates are relatively considered
the minimum interest rates that can be provided from restless treasury bonds. Therefore, the
alterations in the market interest rate for directly increase or decrease the overall demand for
the bones, which will affect their market price. The rising interest rates would eventually
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5
reduce the level of Bond price to the levels of $86,188, as the interest rates are higher than the
coupon payments. Therefore, rising interest rates would reduce the bond price as risk free
interest is more profitable than the corporate Bonds (Weber, Duffy & Schram, 2018). In the
similar instance, the decline in interest rates would eventually increase the attractiveness of
the corporate bonds as higher coupon payments are conducted in comparison to the risk free
interests.
4. Calculating the price of the stock in 3 years and 15 years:
Year Dividend
Discounting
rate Dis-dividends
1 2.18 0.88 1.91
2 2.38 0.77 1.83
3 2.59 0.67 1.75
3 2.59 51.80
Price in 3
years 57.29
Year Dividend Discounting rate Dis-dividends
1 2.18 0.88 1.91
2 2.38 0.77 1.83
3 2.59 0.67 1.75
4 2.82 0.59 1.67
5 3.08 0.52 1.60
6 3.35 0.46 1.53
7 3.66 0.40 1.46
8 3.99 0.35 1.40
9 4.34 0.31 1.34
10 4.73 0.27 1.28
11 5.16 0.24 1.22
12 5.63 0.21 1.17
13 6.13 0.18 1.12
14 6.68 0.16 1.07
15 7.28 0.14 1.02
15 7.28 145.70
Price in 15
years 167.05
5
reduce the level of Bond price to the levels of $86,188, as the interest rates are higher than the
coupon payments. Therefore, rising interest rates would reduce the bond price as risk free
interest is more profitable than the corporate Bonds (Weber, Duffy & Schram, 2018). In the
similar instance, the decline in interest rates would eventually increase the attractiveness of
the corporate bonds as higher coupon payments are conducted in comparison to the risk free
interests.
4. Calculating the price of the stock in 3 years and 15 years:
Year Dividend
Discounting
rate Dis-dividends
1 2.18 0.88 1.91
2 2.38 0.77 1.83
3 2.59 0.67 1.75
3 2.59 51.80
Price in 3
years 57.29
Year Dividend Discounting rate Dis-dividends
1 2.18 0.88 1.91
2 2.38 0.77 1.83
3 2.59 0.67 1.75
4 2.82 0.59 1.67
5 3.08 0.52 1.60
6 3.35 0.46 1.53
7 3.66 0.40 1.46
8 3.99 0.35 1.40
9 4.34 0.31 1.34
10 4.73 0.27 1.28
11 5.16 0.24 1.22
12 5.63 0.21 1.17
13 6.13 0.18 1.12
14 6.68 0.16 1.07
15 7.28 0.14 1.02
15 7.28 145.70
Price in 15
years 167.05
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Part 2:
1. Calculating the historical returns of the portfolios, while deriving the average return,
and standard deviation:
Year Shares Property Bonds Cash
Portfolio
Alpha
Portfolio
Beta
Portfolio
Gamma
2003 15.90% 8.80% 3.00% 4.90% 13.38% 8.03% 5.11%
2004 27.60% 32.00% 7.00% 5.60% 26.28% 18.18% 11.30%
2005 21.10% 12.50% 5.80% 5.70% 17.84% 11.73% 7.09%
2006 25.00% 34.00% 3.10% 6.00% 24.90% 15.85% 10.73%
2007 18.00% -8.40% 3.50% 6.70% 11.59% 5.47% 2.72%
2008 -40.40% -54.00% 14.90% 7.60% -38.32% -15.47% -2.53%
2009 39.60% 7.90% 1.70% 3.50% 29.65% 14.31% 3.84%
2010 3.30% -0.40% 6.00% 4.70% 2.70% 3.91% 4.07%
2011 -11.40% -1.50% 11.40% 5.00% -7.78% 1.98% 5.62%
2012 18.80% 33.00% 7.70% 4.00% 20.16% 16.09% 10.91%
2013 19.70% 7.10% 2.00% 2.90% 15.50% 8.33% 3.47%
2014 5.00% 27.00% 9.80% 2.70% 9.17% 11.80% 9.69%
2015 3.80% 14.30% 2.60% 2.30% 5.75% 5.30% 4.79%
2016 11.60% 13.20% 2.90% 2.10% 10.97% 7.57% 4.56%
2017 12.50% 5.70% 3.70% 1.70% 10.06% 6.74% 3.10%
E(R) 11.34% 8.75% 5.67% 4.36% 10.12% 7.99% 5.63%
Risk 18.69% 21.71% 3.87% 1.79% 16.49% 8.10% 3.77%
2. Explaining the expected return and risk of finance:
Expected return of a stock or portfolio is calculated by analyzing its historical average
returns, which helps in deriving their future returns. In the similar instance, the overall risk of
the stock of portfolio is relatively calculated with the help of standard deviation formula,
which utilizes their historical returns. This analysis of the expected return and risk attributes
of the stock would eventually allow the investors to determine the level of investment that
needs to be conducted. From the evaluation of the calculated expected return and risk, the
cash is considered to the least risky investment, while investments in property are considered
to be the riskiest investment (Gottschlich & Hinz, 2014). Furthermore, the analysis of the
6
Part 2:
1. Calculating the historical returns of the portfolios, while deriving the average return,
and standard deviation:
Year Shares Property Bonds Cash
Portfolio
Alpha
Portfolio
Beta
Portfolio
Gamma
2003 15.90% 8.80% 3.00% 4.90% 13.38% 8.03% 5.11%
2004 27.60% 32.00% 7.00% 5.60% 26.28% 18.18% 11.30%
2005 21.10% 12.50% 5.80% 5.70% 17.84% 11.73% 7.09%
2006 25.00% 34.00% 3.10% 6.00% 24.90% 15.85% 10.73%
2007 18.00% -8.40% 3.50% 6.70% 11.59% 5.47% 2.72%
2008 -40.40% -54.00% 14.90% 7.60% -38.32% -15.47% -2.53%
2009 39.60% 7.90% 1.70% 3.50% 29.65% 14.31% 3.84%
2010 3.30% -0.40% 6.00% 4.70% 2.70% 3.91% 4.07%
2011 -11.40% -1.50% 11.40% 5.00% -7.78% 1.98% 5.62%
2012 18.80% 33.00% 7.70% 4.00% 20.16% 16.09% 10.91%
2013 19.70% 7.10% 2.00% 2.90% 15.50% 8.33% 3.47%
2014 5.00% 27.00% 9.80% 2.70% 9.17% 11.80% 9.69%
2015 3.80% 14.30% 2.60% 2.30% 5.75% 5.30% 4.79%
2016 11.60% 13.20% 2.90% 2.10% 10.97% 7.57% 4.56%
2017 12.50% 5.70% 3.70% 1.70% 10.06% 6.74% 3.10%
E(R) 11.34% 8.75% 5.67% 4.36% 10.12% 7.99% 5.63%
Risk 18.69% 21.71% 3.87% 1.79% 16.49% 8.10% 3.77%
2. Explaining the expected return and risk of finance:
Expected return of a stock or portfolio is calculated by analyzing its historical average
returns, which helps in deriving their future returns. In the similar instance, the overall risk of
the stock of portfolio is relatively calculated with the help of standard deviation formula,
which utilizes their historical returns. This analysis of the expected return and risk attributes
of the stock would eventually allow the investors to determine the level of investment that
needs to be conducted. From the evaluation of the calculated expected return and risk, the
cash is considered to the least risky investment, while investments in property are considered
to be the riskiest investment (Gottschlich & Hinz, 2014). Furthermore, the analysis of the
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calculations directly indicates that from the created portfolios portfolio Gamma is considered
to have the lowest risk involved in investment, while portfolio Alpha has the highest risk
from investment.
3. Discussing about diversification, while detecting it impact on risk and return:
Diversification is an adequate measure that is used by investors for reducing the level
of risk involved in investment while incorporating a higher level of risky assets in the
portfolio. The diversification method is relatively allowed investors to accommodate high-
risk investments and Risk free assets reduce the level of portfolio risk and generate adequate
returns for investment. Impact of the diversification strategy can be seen in the above-
calculated portfolio Alpha, portfolio beta, and portfolio Gamma. The diversification
relatively uses the overall portfolio weight to determine the level of investments that need to
be conducted in a particular stock. Moreover, the correlation of the different stocks is used in
creating the diversified portfolio, which helps in minimizing the risk involved in investment.
The correlation Coefficient relatively allows the investors to detect the level of impact market
returns have on the particular stock. Utilizing the correlation Coefficient values while
deriving the portfolio allows investors to minimize the negative impacts from market risk and
maximize the level of income that can be generated from an investment. From the evaluation
of the portfolios it can be understood that portfolio, has the least risk involved in investment
while having the highest returns (Yu & Huiping, 2018).
4. Indicating the method for measuring systematic risk component of an asset:
Systematic risk is relatively considered as the overall market risk or undiversifiable
risk, which negatively affects the overall return capability of a particular stock. The
systematic risk is relatively calculated from the day to day fluctuations a stock's share price,
which is relatively influenced by the overall market actions. Asset B is considered the riskiest
7
calculations directly indicates that from the created portfolios portfolio Gamma is considered
to have the lowest risk involved in investment, while portfolio Alpha has the highest risk
from investment.
3. Discussing about diversification, while detecting it impact on risk and return:
Diversification is an adequate measure that is used by investors for reducing the level
of risk involved in investment while incorporating a higher level of risky assets in the
portfolio. The diversification method is relatively allowed investors to accommodate high-
risk investments and Risk free assets reduce the level of portfolio risk and generate adequate
returns for investment. Impact of the diversification strategy can be seen in the above-
calculated portfolio Alpha, portfolio beta, and portfolio Gamma. The diversification
relatively uses the overall portfolio weight to determine the level of investments that need to
be conducted in a particular stock. Moreover, the correlation of the different stocks is used in
creating the diversified portfolio, which helps in minimizing the risk involved in investment.
The correlation Coefficient relatively allows the investors to detect the level of impact market
returns have on the particular stock. Utilizing the correlation Coefficient values while
deriving the portfolio allows investors to minimize the negative impacts from market risk and
maximize the level of income that can be generated from an investment. From the evaluation
of the portfolios it can be understood that portfolio, has the least risk involved in investment
while having the highest returns (Yu & Huiping, 2018).
4. Indicating the method for measuring systematic risk component of an asset:
Systematic risk is relatively considered as the overall market risk or undiversifiable
risk, which negatively affects the overall return capability of a particular stock. The
systematic risk is relatively calculated from the day to day fluctuations a stock's share price,
which is relatively influenced by the overall market actions. Asset B is considered the riskiest
FINANCE
8
is asset, as its overall beta is relatively at the levels of 2, where the increment or decline in the
overall market return by 10% will directly affect share price value of Asset B. On the other
hand, the reduced beta value of Asset A will not negatively affect its overall share value, as
its beta is valued at 0.5. The measure of systematic risk can be conducted with the help of
different calculations, which allows investors to determine the negative impact capital market
can have on the share price of the stock (Tokuoka, 2017).
5. Explaining what is meant by risk aversion and detecting the different stages of
investing life cycle:
Risk aversion is human behavior is conducted by the investors for reducing the level
of risk involved in investment. Investors relatively utilize different methods and strategies to
minimize the level of uncertainty that could be predicted from a particular investment. This
overall protection from adverse price action is a relatively known as risk aversion, which is
conducted by investors to secure their overall invested capital. Risk aversion is relatively
conducted with the help of adequate measures the portfolio was created for minimizing the
impact of capital market and maintains adequate returns from investment. However, the risk
aversion does not reduce or minimize the risk of investment to zero, as there is relevant risk
involved in investment. From the evaluation could be understood that is a part of the
investing life cycle, as it allows investors to evaluate the different stages of investment and
motivate them to diversify their exposure in accordance with the risk level (Wang et al.,
2014).
6. Recommending the best possible portfolio for each of the customer types:
The Portfolio Alpha is selected for Stephanie, Portfolio Beta is selected for Harold
and Meredith, while Portfolio Gamma is selected for Akhter. The selection process of the
portfolio for the customers is based on the investment scope and risk criteria. Stephanie being
8
is asset, as its overall beta is relatively at the levels of 2, where the increment or decline in the
overall market return by 10% will directly affect share price value of Asset B. On the other
hand, the reduced beta value of Asset A will not negatively affect its overall share value, as
its beta is valued at 0.5. The measure of systematic risk can be conducted with the help of
different calculations, which allows investors to determine the negative impact capital market
can have on the share price of the stock (Tokuoka, 2017).
5. Explaining what is meant by risk aversion and detecting the different stages of
investing life cycle:
Risk aversion is human behavior is conducted by the investors for reducing the level
of risk involved in investment. Investors relatively utilize different methods and strategies to
minimize the level of uncertainty that could be predicted from a particular investment. This
overall protection from adverse price action is a relatively known as risk aversion, which is
conducted by investors to secure their overall invested capital. Risk aversion is relatively
conducted with the help of adequate measures the portfolio was created for minimizing the
impact of capital market and maintains adequate returns from investment. However, the risk
aversion does not reduce or minimize the risk of investment to zero, as there is relevant risk
involved in investment. From the evaluation could be understood that is a part of the
investing life cycle, as it allows investors to evaluate the different stages of investment and
motivate them to diversify their exposure in accordance with the risk level (Wang et al.,
2014).
6. Recommending the best possible portfolio for each of the customer types:
The Portfolio Alpha is selected for Stephanie, Portfolio Beta is selected for Harold
and Meredith, while Portfolio Gamma is selected for Akhter. The selection process of the
portfolio for the customers is based on the investment scope and risk criteria. Stephanie being
FINANCE
9
young with a long and successful career will eventually have high-risk capability, where his
aims would be to generate higher income and growth from investment, which is why
Portfolio Alpha is best, suited for his investment criteria. In addition, the middle-aged couple
would like to have secure investment with high growth prospects, which is why Portfolio
Beta is best, suited for them. Lastly, Akhter will be retired in 18 months where his investment
aim is to secure the capital and generate adequate constant returns to support his retirement,
which is why Portfolio Gamma is selected for him.
9
young with a long and successful career will eventually have high-risk capability, where his
aims would be to generate higher income and growth from investment, which is why
Portfolio Alpha is best, suited for his investment criteria. In addition, the middle-aged couple
would like to have secure investment with high growth prospects, which is why Portfolio
Beta is best, suited for them. Lastly, Akhter will be retired in 18 months where his investment
aim is to secure the capital and generate adequate constant returns to support his retirement,
which is why Portfolio Gamma is selected for him.
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References and Bibliography:
Gottschlich, J., & Hinz, O. (2014). A decision support system for stock investment
recommendations using collective wisdom. Decision support systems, 59, 52-62.
Hu, Y., Feng, B., Zhang, X., Ngai, E. W. T., & Liu, M. (2015). Stock trading rule discovery
with an evolutionary trend following model. Expert Systems with Applications, 42(1),
212-222.
Sumaji, Y. M. P., Hsu, W. H. L., & Salim, U. (2017). Analysıs of Market Rısk in Stock
Investment Usıng Value at Rısk Method (Study on Manufacturıng Companıes in Lq-
45 Lısted on Indonesıa Stock Exchange). Asia-Pacific Management and Business
Application, 6(1), 1-14.
Tokuoka, K. (2017). Is stock investment contagious among siblings?. Empirical
Economics, 52(4), 1505-1528.
Wang, H., Zhang, J., Wang, L., & Liu, S. (2014). Emotion and investment returns: Situation
and personality as moderators in a stock market. Social Behavior and Personality: an
international journal, 42(4), 561-569.
Weber, M., Duffy, J., & Schram, A. (2018). An experimental study of bond market
pricing. The Journal of Finance, 73(4), 1857-1892.
Yang, Y., & Wang, Q. (2018). Insurance Inclusion, Time Preference And Stock Investment
Of The Chinese Households. The Singapore Economic Review, 63(01), 27-44.
Yu, J. I. A. N. G., & Huiping, J. I. (2018). Are securities companies' stock investment ratings
helpful? Evidence from A-share market. China Economic Studies, 4, 010.
10
References and Bibliography:
Gottschlich, J., & Hinz, O. (2014). A decision support system for stock investment
recommendations using collective wisdom. Decision support systems, 59, 52-62.
Hu, Y., Feng, B., Zhang, X., Ngai, E. W. T., & Liu, M. (2015). Stock trading rule discovery
with an evolutionary trend following model. Expert Systems with Applications, 42(1),
212-222.
Sumaji, Y. M. P., Hsu, W. H. L., & Salim, U. (2017). Analysıs of Market Rısk in Stock
Investment Usıng Value at Rısk Method (Study on Manufacturıng Companıes in Lq-
45 Lısted on Indonesıa Stock Exchange). Asia-Pacific Management and Business
Application, 6(1), 1-14.
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