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The article "Rethink Diversification to Raise Retums, Cut Risk" (San Luis Obispo Tribune, January 21, 2006 ) included the following paragraph: In their research, Mulvey and Reilly compared the results of two hypothetical portfolios and used actual data from 1994 to 2004 to see what returns they would achieve. The first portfolio invested in Treasury bonds, domestic stocks, international stocks, and cash. Its 10 -year average annual return was \(9.85 \%\) and its volatilitymeasured as the standard deviation of annual returns-was \(9.26 \%\). When Mulvey and Reilly shifted some assets in the portfolio to include funds that invest in real estate, commodities, and options, the 10 -year return rose to \(10.55 \%\) while the standard deviation fell to \(7.97 \%\). In short, the more diversified portfolio had a slightly better return and much less risk. Explain why the standard deviation is a reasonable measure of volatility and why it is reasonable to interpret a smaller standard deviation as meaning less risk.

Step by step solution

01

Understanding Standard Deviation

Standard deviation is a statistical measure that quantifies the dispersion or variability of a set of numbers. If the numbers are close to their mean (average), the standard deviation is small, while if the numbers are spread out over a wider range, standard deviation is large.

02

Linking Standard Deviation to Volatility

Volatility is a statistical measure of the dispersion of returns for a given security or market index, which can be measured using standard deviation. In finance, volatility can be visualized as the degree and frequency with which a stock's price increases or decreases for a set of returns. A stock or portfolio with a high standard deviation experiences higher volatility, and a stock or portfolio with a lower standard deviation experiences lower volatility.

03

Interpreting Smaller Standard Deviation as Less Risk

A portfolio's standard deviation quantifies its volatility, which in turn gives investors a sense of its risk. A lower standard deviation means returns will be less volatile which is interpreted as lesser risk. This is because the returns are more predictable, which is often seen as a less risky investment. Conversely, a high standard deviation indicates a high degree of risk because returns can be less predictable.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Volatility

Volatility in the financial world refers to the degree of variation of a trading price series over time. It essentially measures how drastically securities prices move, providing insight into the level of risk and uncertainty associated with an asset. Volatility is a critical factor because it also affects the potential returns on an investment.

To visualize volatility, think of it as the wiggle room in how much a price can shift up or down. This movement is usually charted as a bell curve in statistical terms, where low volatility results in a narrow curve, and high volatility creates a wider curve. A wider curve means a bigger range of potential price swings, translating into greater uncertainty.

• A high standard deviation implies high volatility, meaning significant ups and downs over time.
• A low standard deviation means the price moves in a more steady, predictable fashion.

For investors, understanding volatility is crucial, as it helps in making informed decisions about which investments might suit their risk preferences.

Portfolio Diversification

Portfolio diversification is a key strategy used by investors to manage risk. By spreading investments across a wide variety of financial assets, such as stocks, bonds, real estate, and commodities, an investor can protect against significant losses.

The basic idea behind diversification is that not all asset classes will move in the same direction at the same time. For example, when stocks may be underperforming, other assets like bonds might perform better. This offsetting effect can stabilize the overall portfolio return and reduce overall volatility.

• Diversified portfolios tend to have lower risk due to varying performance across asset classes.
• This strategy assumes that different sectors, companies, or asset classes will not all respond the same way to changing market conditions.

Ultimately, incorporating a range of investments helps smooth out returns and makes a portfolio less susceptible to market swings, which is why a well-diversified portfolio can achieve better risk-adjusted returns like in the exercise example.

Risk Management

Risk management in investing is the process of identifying, assessing, and prioritizing risks, followed by coordinated efforts to minimize the impact of these risks. It involves a series of steps to ensure that various risk factors are properly managed to avoid substantial losses.

Investors use several techniques for effective risk management, including diversification, asset allocation, and portfolio rebalancing. The act of allocating resources across different investment types helps in creating a balance, mitigating the impact of volatility.

• Risk management aims to protect the investment from unexpected events that could harm financial health.
• It includes keeping a check on the timing of investments and adjusting allocations based on market conditions.

Good risk management practices enable investors to anticipate potential losses and take steps to protect their portfolio's value, ensuring that their investment goals are met with minimal negative impact from market downturns.