Risk Assessment of Shares and Portfolio Management

This article discusses the significance of standard deviation and correlation coefficient in detecting the level of risk present within a stock and how to calculate the expected return and standard deviation of a portfolio. It also includes solved assignments, essays, and dissertations on the subject.

Running head: BUS286
BUS286
Name of the Student:
Name of the University:
Authors Note:

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Table of Contents
Part 1:.........................................................................................................................................2
Question 1:.................................................................................................................................2
Question 2:.................................................................................................................................2
Part 2:.........................................................................................................................................3
1. Calculating the expected return and standard deviation of portfolio 3:.................................3
2. Calculating the expected return and standard deviation of portfolio 4:.................................3
3. Calculating the expected return and standard deviation of portfolio 5:.................................4
Reference and Bibliography:......................................................................................................5

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Part 1:
Question 1:
The risk of the shares is detected adequately with the help of standard deviation, as it
evaluates the level of volatility, which can be detected for an investment. The standard
deviation measures the variation in the mean returns of the stock, which can help in detecting
the volatility present within the share price movement. The generate assumption for the
shares is normal distribution curve, which plots the historical data in accordance with the
returns. In addition, the use of dispersion statistics directly helps in detecting the magnitude
of risk present within a stock. The dispersion statistics allows the comparison of the standard
deviation for multiple shares, which can help invests to gauge into the current risk attributes
of the stocks1. As depicted in the case study standard deviation is a statistical tool for
calculating the most likely range of returns of a stock.
Question 2:
The use of more than one share in a portfolio will directly affect the level of risk,
which can be affected from an investment. However, the use of correlation coefficient can
help investors to assess the risk of both shares. The correlation conditions of a stock
relevantly help in detecting the level of similarity between the returns of a stock. The
detection allows the investor to determine the level of risk that the portfolio holds with the
combination of two stocks. the formula for the standards deviation is depicted in the below
figure, which indicates that without the calculation of correlation the actual risk attributes of
the stock is not detected. The case study also indicates the significance of added risk, which
1 Gorodnichenko, Yuriy, and Michael Weber. "Are sticky prices costly? Evidence from the
stock market." American Economic Review 106, no. 1 (2016): 165-99.

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can be used for detecting the possible outcomes of an asset. Lastly, with the combination of
more than one security, investors can reduce the level of risk from investment and generate a
constant return.
Figure 1: Depicting the formula for Standard deviation of two stocks2
Part 2:
1. Calculating the expected return and standard deviation of portfolio 3:
Portfolio 3 Weight Expected return Standard deviation
A 5% 0.50% 0.01
B 75% 11.25% 0.26
C 20% 4.00% 0.09
Portfolio 15.75% 0.37
2. Calculating the expected return and standard deviation of portfolio 4:
Portfolio 4 Weight Expected return Standard deviation
A 33% 3.33% 0.07
2 Adam, Klaus, Albert Marcet, and Juan Pablo Nicolini. "Stock market volatility and
learning." The Journal of Finance 71, no. 1 (2016): 33-82.

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B 33% 5.00% 0.12
C 33% 6.67% 0.15
Portfolio 15.00% 0.34
3. Calculating the expected return and standard deviation of portfolio 5:
Portfolio 5 Weight Expected return Standard deviation
A 25% 2.50% 0.05
B 25% 3.75% 0.09
C 25% 5.00% 0.12
D 25% 9.90% -
Portfolio 21.15% 0.25

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Reference and Bibliography:
Adam, Klaus, Albert Marcet, and Juan Pablo Nicolini. "Stock market volatility and
learning." The Journal of Finance 71, no. 1 (2016): 33-82.
Giannetti, Mariassunta, and Tracy Yue Wang. "Corporate scandals and household stock
market participation." The Journal of Finance 71, no. 6 (2016): 2591-2636.
Gorodnichenko, Yuriy, and Michael Weber. "Are sticky prices costly? Evidence from the
stock market." American Economic Review 106, no. 1 (2016): 165-99.
Sornette, Didier. Why stock markets crash: critical events in complex financial systems.
Princeton University Press, 2017.