Modified Problem Assignment 3 (1)
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Nov 24, 2024
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Introduction:
Investing in mutual funds is a strategy widely used by individuals seeking to grow their wealth
over time. Funds come in various forms, from conservative bond funds to aggressive
international equity funds. Constructing a well-balanced portfolio is crucial to achieving financial
goals while managing risk. In this analysis, we consider three distinct portfolios composed of a
bond fund (ZCS.TO), a Canadian equity fund (VCN.TO), and an international fund (XWD.TO).
Each portfolio has a different risk and return profile, designed to cater to investors with varying
levels of risk tolerance.
Selected Funds:
Bond Fund: BMO Short Corporate Bond ETF (Ticker: ZCS.TO).
Canadian Equity Fund: Vanguard FTSE Canada All Cap Index ETF (Ticker: VCN.TO).
iShares MSCI World Index ETF (XWD.TO)
Here are the calculated metrics for the three funds based on the provided data:
1. Average Monthly Returns:
ZCS.TO (BMO Short Corporate Bond ETF): 0.16%
VCN.TO (Vanguard FTSE Canada All Cap Index ETF): 0.64%
XWD.TO (iShares MSCI World Index ETF): 0.90%
2. Standard Deviation:
ZCS.TO: 0.74%
VCN.TO: 3.90%
XWD.TO: 3.55%
3. Correlation Coefficients:
ZCS.TO and VCN.TO: 0.53 (moderate positive correlation)
ZCS.TO and XWD.TO: 0.56 (moderate positive correlation)
VCN.TO and XWD.TO: 0.75 (strong positive correlation)
To construct three portfolios from the mutual funds (ZCS.TO, VCN.TO, XWD.TO) and analyze
them, we can use different weight combinations for each fund in each portfolio. Let's define the
portfolios as follows:
Portfolio A:
Conservative: Higher allocation to the bond fund (ZCS.TO).
Example Allocation: 70% ZCS.TO, 15% VCN.TO, 15% XWD.TO
Portfolio B:
Balanced: Equal allocation to each fund.
Example Allocation: 33.3% ZCS.TO, 33.3% VCN.TO, 33.3% XWD.TO
Portfolio C:
Aggressive: Higher allocation to equity funds (VCN.TO and XWD.TO).
Example Allocation: 20% ZCS.TO, 40% VCN.TO, 40% XWD.TO
The strengths and weaknesses of the portfolios can be commented on as follows:
Portfolio A (Conservative):
Strengths: Lower standard deviation indicates lower risk. Good for risk-averse investors or those
nearing retirement.
Weaknesses: Lower expected return may not outpace inflation or lead to significant growth over
time.
Portfolio B (Balanced):
Strengths: A balance between risk and return. Suitable for investors with a moderate risk
appetite.
Weaknesses: May not provide as high returns as a more aggressive portfolio or as much safety
as a conservative portfolio.
Portfolio C (Aggressive):
Strengths: Higher expected return, which is ideal for long-term growth and investors with a
higher risk tolerance.
Weaknesses: Higher standard deviation, indicating higher risk and potential for greater
short-term volatility.
Personal preference would depend on the individual's investment goals, risk tolerance, and time
horizon. For long-term growth, one might prefer Portfolio C, while for preserving capital, Portfolio
A might be more suitable. Portfolio B offers a middle ground that might appeal to someone
seeking both modest growth and some level of risk management.
Based on the information provided earlier, here are the expected rates of return and standard
deviations calculated for each portfolio:
Portfolio A (Conservative):
Expected Rate of Return: 0.343%
Standard Deviation: 1.41%
Portfolio B (Balanced):
Expected Rate of Return: 0.567%
Standard Deviation: 2.47%
Portfolio C (Aggressive):
Expected Rate of Return: 0.649%
Standard Deviation: 2.87%
Conclusion:
After examining the three diversified portfolios—Conservative (Portfolio A), Balanced (Portfolio
B), and Aggressive (Portfolio C) I've assessed the potential risks and returns associated with
each. Portfolio A is tailored for those seeking stability, Portfolio B for individuals looking for a
moderate approach, and Portfolio C for investors chasing higher returns at the cost of higher
risk. The choice of portfolio should align with an investor's financial objectives, time horizon, and
risk appetite. An informed investor will weigh these factors before committing capital, ensuring
that their investment choice is a step toward achieving their long-term financial aspirations.
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