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Explain the differences between the arithmetic return and the geometric return. Include in your explanation what factor determines the difference between arithmetic returns and geometric (compounded) returns.
Faulkenberry (n.d.) states that geometric and arithmetic returns are applicable because they are returned. The geometric average describes what an individual would make on a return during a specific period. The arithmetic average tells the individual or company what the return could be. Using arithmetic is an educated guess, not to be taken to heart. But when returns are reported, arithmetic is used because this average is higher for the reports.
If you own a stock with volatile returns over a 2-year period, will the average return be higher or lower than the geometric return?
Volatility is not considered when averaging out using the arithmetic method. The geometric average return does consider volatility when averaging out returns over a
two-plus-year period. Faulkenberry (n.d.) does consider the volatility history of the stocks when considering geometric averages and allows the investors to adjust accordingly to said investment.
Why is it more convenient to display your investment returns in percentage rather than dollar terms? (75-150 words, or 1-2 paragraphs)
There are two reasons why displaying returns as percentages is more convenient. Lumen (n.d.) explains that percentage over a dollar because dollar value doesn't consider money's investment period or time value. And second, with rate, your initial investment is optional for the return. This makes the return summarization easier using percentages.
Would a common stock or a corporate bond demand a higher risk premium? Explain.
The common stock would require higher risk premiums over corporate bonds. Corporate stocks tend to be from well-established companies and have a lower risk of bottoming out and people losing money from investments. Common stocks tend to be riskier because they are less stable than established companies. According to Adkins (n.d.), investors who take on riskier ventures would require higher premiums.
Explain whether it is possible to earn excess returns without taking on additional risk. (75-150 words, or 1-2 paragraphs)
Chen (2019) says excess returns are defined as equity risk premiums. Excess returns are what investors earn for taking higher risks when investing in riskier investments. Increased risks seem to give excess returns. I believe that there is some chance of receiving excess returns without having excess returns, which requires time and the right circumstances.
References
Adkins, W. (n.d.).How to Determine Risk Premium on Bonds. Retrieved from Zacks: https://finance.zacks.com/determine-risk-premium-bonds-9253.html
Chen, J. (2019, July 28).Excess Returns. Retrieved from Investopedia: https://www.investopedia.com/terms/e/excessreturn.aspFaulkenberry, K. (n.d.).Geometric Average vs. Arithmetic Average: Which is Correct For Investment Returns? Recovered from Arbor Investment: http://www.arborinvestmentplanner.com/geometric-average-vs-arithmetic-average-
for-investment-returns/Lumen. (n.d.). Understanding Returns. Retrieved from Boundless Finance: https://courses.lumenlearning.com/boundless-finance/chapter/understanding-
returns/
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