2 Introduction The stock markets across the globe offers an endless opportunities and risk for various investors (Asker, Farre-Mensa & Ljungqvist, 2015). Aggressive investors of for diversification to maximize their returns. Stock diversification reduces risk by allocating of assets among various industries, financial instruments, and other categories (Gepp et al., 2018). As a result, investors choose to come up with a stock portfolio. A stock portfolio contains a collection of stocks which an investor accumulates hoping of making a profit. Investors become more resilient by putting together a portfolio that is diverse, spanning the various sectors listed within the Bourse. Having a diversified portfolio is very advantageous for an investor since he or she can take advantage of capital appreciation, dividends, liquidity and diversity of a portfolio (Lean & Wong, 2015). It should be noted that diversification does not guarantee profit taking only since the risk still exists though minimized. The following study looks at CBA, QAN and ANZ stocks and how portfolios based on CBA and QAN, and CBA and ANZ and compare. Comparing and contrasting the Return and Risk of Portfolio 1 with Portfolio 2. From the excel calculations carried out, it was observed that the return and risk of portfolio 1 is 17.04% and 8.45% respectively. On the other hand, the return and risk of portfolio 2 is 9.67% and 10.81% respectively. Based on the return and the risk, the most efficient portfolio was determined. A portfolio is considered as efficient or optimal if it offers the best expected return on a specific level of risk or offers the minimum risk for a specified return that is expected (Guerard, Markowitz & Xu, 2015). Portfolio 1 has the highest return compared to portfolio 2. However, portfolio 2 can be seen to have the highest risk compared to portfolio 1. Thus, it can be deduced that portfolio 1 is more efficient compared to portfolio 2.
3 However, the choice of which portfolio to choose depends on the nature of the investor (Brugiere, 2020). In this scenario, both a risk averse investor and a risk taker investor would opt for Portfolio 2 since it has the highest returns and the lowest risk. Assets (CBA, QAN, Portfolio 2 and MVP 2) that has the highest and lowest coefficient of variations The coefficient of variation evaluates the volatility of a stock (Bekaert & Hoerova, 2014). The coefficient of variation is the ratio of the standard deviation to the mean which is vital in the comparison between the degree of variation between data series. From the information obtained on the Excel calculation, it is evident that QAN has the lowest coefficient of variations while MVP 2 has the highest coefficient of variation. The coefficient of variation simply imply that MVP 2 has the highest volatility between the four combinations while QAN has the lowest volatility. The coefficient of variation is useful when employing the risk/reward ratio in selecting an investment (Abella et al., 2017). Thus, a risk averse investor would go for QAN while a risk- taking investor will go for MVP 2. Levels of Coefficients and significance (p-values) of the Intercept and Beta (X Variable 1) It was seen that the regression model for CBA was statistically significant (p < 0.05) while the regression model for QAN is not statistically significant (p > 0.05). Hence, the beta estimate is 0.86 and statistically significant (p < 0.05) while the abnormal return is 0.01 for CBA (but not statistically significant since p > 0.05). Regression results consistency with the CAPM predictions
4 The capital asset pricing model (CAPM) is used in portraying the price of the financial market securities and determining the returns that are expected of an investment capital (Kuehn, Simutin & Wang, 2017). CAPM offers a methodology which quantifies risk and translates the risk into estimates of the return on equity that is expected. Hence, it describes the relationship between the expected returns and the systematic risk for assets particularly stocks. CAPM entails risks and returns on financial securities and can be used to precisely define them if arbitrarily (Dawson, 2015). It is evident that the beta for CBA is consistent with the CAPM predictions since relationship between the past returns and beta is linear (Campbell et al., 2018). The beta of an investment evaluates the amount of risk within an investment adds to a portfolio which looks similarly to the market. The beta of CBA is 0.86 which implies that CBA reduces the risk of a portfolio since it is less than 1. On the other hand, the beta for QAN is not consistent with the CAPM predictions since the relationship between the past returns and the beta are not linear (p > 0.05). Hence, the CAPM has been able to evaluate that CBA is a fairly valued since its risk and the time value of money are comparable to its expected return (Elbannan, 2015). The CAPM model can therefore be used in helping investors in assessing and managing their risk.
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