Analyzing Treasury Bond Volatility
Analyzing Historical Volatility in the IEF ETF: A Comparative Study Across Three Decades

The volatility of financial assets is a critical metric for investors, reflecting the risk associated with price fluctuations. The IEF ETF, representing 7-10 year U.S. Treasury bonds, serves as a benchmark for the bond market’s stability. This analysis aims to compare the historical daily volatility of the IEF ETF over three distinct periods: 2000-2009, 2010-2019, and 2020-2021. The
first period captures the lead-up to and aftermath of the dot-com bubble and the early 2000s recession, the second period represents a decade of economic recovery following the 2008 financial crisis, and the third period encompasses the COVID 19 pandemic’s onset and continuation, likely introducing higher market uncertainty and volatility. Additionally, this analysis examines the volatility over multiple 4-year periods to observe potential patterns related to the U.S. presidential election cycle, which can also impact market stability and investor behavior.
Data Collection and Methodology
To conduct this analysis, we collected daily closing prices for the IEF ETF from Yahoo Finance, covering January 1, 2000, to December 31, 2021. Daily returns were calculated as the percentage change in price from one day to the next. Volatility for each period was measured by computing the standard deviation of these daily returns, providing a quantitative measure of the ETF’s daily price fluctuations.
Context and Hypotheses
Given the timeframes in question, the period from 2000 to 2009 captures the lead-up to and aftermath of the dot-com bubble, the early 2000s recession, and the onset of the financial crisis in 2008.
This decade was characterized by significant market turbulence and volatility. The period from 2010 to 2019 encapsulates a long economic recovery following the 2008 financial crisis, marked by relatively low volatility, especially in safe assets like U.S. Treasury bonds. Finally, the years 2020 to 2021 include the onset and continuation of the COVID-19 pandemic, which likely introduced higher volatility due to market uncertainty and economic disruptions.
Expectations: It is expected that the IEF ETF experienced greater volatility during 2020-2021 compared to 2010-2019. The pandemic caused significant market swings and changes in interest rates as central banks around the world responded to the economic fallout. Conversely, the previous decade, from 2010 to 2019, likely saw more stable conditions for bonds, with steady interest rate policies and economic growth, until changes started appearing around 2018 when the Federal Reserve began adjusting rates more frequently.
Further Analysis and Considerations:
Changes in U.S. Federal Reserve policy, particularly regarding interest rates, heavily influence bond markets. Analyzing these changes can provide additional context to the observed volatility. Additionally, considering GDP growth rates, inflation, and other macroeconomic indicators during these periods could provide more depth to understanding why volatility patterns emerged as they did. The influence of presidential election cycles and corresponding fiscal and monetary policies on market volatility is also significant. Analyzing how these political factors impact market behavior can offer insights into the relationship between policy changes and financial asset volatility.
Analysis
The analysis began with the extraction of daily closing prices for IEF from Yahoo Finance, covering the period from 2000 to 2021. Next, daily returns became calculated using the formula:
Pricetoday − Priceyesterday
Daily Return = ( ) × 100
Priceyesterday
This formula captures the percentage change in price from one day to the next. After computing the daily returns, the standard deviation of these returns was calculated for the periods 2000-2009, 2010-2019. And 2020-2021 to measure the volatility of the ETF. Finally, the standard deviations were compared to evaluate the differences in volatility between the three periods, providing insights into how market conditions and events such as the dot-com bubble, the 2008 financial crisis, and the COVID-19 pandemic influenced bond market stability.
Results?
The analysis revealed that the standard deviation of daily returns for the period 2000-2009 was 0.457284%, for 2010-2019 was 0.375357%, and for 2020-2021 was 0.397230%. This indicates that the IEF ETF experienced greater volatility during the early 2000s and the COVID-19 pandemic years compared to the period of economic recovery in the 2010s. The early 2000s saw significant market turbulence due to the dot-com bubble and the financial crisis, while the COVID-19 pandemic caused significant market swings and changes in interest rates as central banks worldwide responded to the economic fallout. Conversely, the period 2010-2019 exhibited lower volatility, reflecting more stable economic conditions and steady interest rate policies post the 2008 financial crisis.
In addition to the decade-long analysis, an examination of volatility over multiple 4-year periods was conducted to identify potential patterns related to the U.S. presidential election cycle and key policymakers. For the period 2000-2004, the volatility was 0.487137%, during which Alan Greenspan served as Fed Chair and Lawrence Summers and Paul O’Neill were Secretaries of the Treasury. This period included the aftermath of the dot-com bubble burst and the 9/11 attacks, leading to aggressive rate cuts and tax cuts under President George W. Bush. The period 2004-2008 had a volatility of 0.345030%, with Alan Greenspan and Ben Bernanke as Fed Chairs and John Snow and Henry Paulson as Secretaries of the Treasury. This timeframe saw the growth of the housing bubble and the 2008 financial crisis, with low interest rates and fiscal policies aimed at managing economic imbalances.
From 2008-2012, volatility increased to 0.556183% under Fed Chair Ben Bernanke and Secretaries of the Treasury Henry Paulson and Timothy Geithner.
This period was marked by the Great Recession, with the Fed implementing quantitative easing and significant fiscal stimulus through programs like TARP and ARRA. In 2012-2016, volatility decreased to 0.368408%, with Ben Bernanke and Janet Yellen as Fed Chairs and Timothy Geithner and Jack Lew as Secretaries of the Treasury. The economy continued its recovery, with low interest rates and fiscal policies focusing on deficit reduction and managing the debt ceiling.
The period 2016-2020 had the lowest volatility at 0.302378%, during which Janet Yellen and Jerome Powell served as Fed Chairs and Jack Lew and Steven Mnuchin as Secretaries of the Treasury. This period included significant tax reforms under the Tax Cuts and Jobs Act of 2017. And gradual interest rate increases to normalize monetary policy. Alongside market uncertainty from U.S.-China trade tensions. Finally, the period 2020-2024 showed a volatility of 0.397230%, with Jerome Powell as Fed Chair and Steven Mnuchin and Janet Yellen as Secretaries of the Treasury. The COVID-19 pandemic led to unprecedented economic disruptions, with near-zero interest rates, resumed quantitative easing, and massive fiscal stimulus through packages like the CARES Act.
Discussion
The results from this analysis raise important questions about the connections between volatility, returns, and macroeconomic conditions. One of the key questions is how investors can interpret these volatility patterns in relation to expected returns. Historically, higher volatility often correlates with higher risk, which could lead to higher expected returns.
However, this relationship can be complex and influenced by multiple factors, including investor sentiment, risk aversion, and broader economic conditions.
Connecting these volatility measures to returns requires a thorough understanding of risk premiums and the economic environment during each period. For instance, during periods of high volatility such as 2008-2012, the elevated risk was accompanied by significant uncertainty, which could have justified higher risk premiums and potentially higher returns for investors willing to bear the risk. In contrast, periods of lower volatility like 2016-2020 might reflect investor confidence and stability, potentially leading to lower risk premiums and more modest returns.
Additionally, the role of fiscal and monetary policies cannot be overlooked.
The impact of quantitative easing, interest rate changes, and fiscal stimulus on market volatility and returns is profound. During the Great Recession and the COVID-19 pandemic, aggressive monetary easing and substantial fiscal stimulus were implemented to stabilize the economy, which influenced both volatility and returns.
Investors must also consider the geopolitical context and its effects on market behavior. Events such as the 9/11 attacks, the financial crisis, and trade tensions between major economies create environments of uncertainty that can amplify volatility and affect returns.
Another important aspect to consider is how these volatility patterns in the IEF ETF connect to the broader market.
The bond market, represented by the IEF ETF, often reacts to macroeconomic changes and policy decisions that also influence the equity markets. For example, during periods of economic uncertainty or recession, investors typically flock to safer assets like Treasury bonds, which can lead to lower yields and higher bond prices, thereby reducing volatility. Conversely, in periods of economic growth and higher interest rates, the bond market may experience increased volatility as yields rise and prices fall.
Understanding these connections can help investors anticipate broader market movements and make more informed asset allocation decisions. For instance, if the analysis suggests increasing volatility in the bond market due to anticipated rate hikes by the Federal Reserve, investors might consider adjusting their portfolios to hedge against potential losses in bond holdings while capitalizing on opportunities in other asset classes.
Conclusion
This study highlights the impact of macroeconomic events on the volatility of financial assets. The increased volatility in 2020-2021 underscores the market’s reaction to the unprecedented uncertainty brought about by the COVID-19 pandemic.
In contrast, the relatively low volatility during 2010-2019 aligns with a decade of economic recovery and stability. Furthermore, the 4-year period analysis suggests that market volatility can also become influenced by the U.S. presidential election cycle. In addition, the actions of key policymakers, with noticeable fluctuations aligning with different election terms and changes in Fed Chairs and Secretaries of the Treasury. Understanding these volatility patterns helps investors make informed decisions, considering the broader economic context, political cycles, and fiscal and monetary policies influencing market behavior.
Data Availability
Data for this analysis was available from January 01, 2000, to May, 2024. The analysis over 4-year periods revealed significant variations in volatility, reflecting the changing economic conditions, market responses, and potential impacts of the U.S. presidential election cycle and the tenure of key policymakers over time.

Written by UCLA Master of Financial Engineering‘s Charlie Yan
Citations
Yahoo Finance Historical Data for IEF ETF. Retrieved from Yahoo Finance.
Fama, E. F., & French, K. R. (1992). The Cross-Section of Expected Stock Returns. The Journal of Finance, 47(2), 427- 465.
Federal Reserve Board. Monetary Policy and Economic Outlook. Retrieved from Federal Reserve. Economic Impact of COVID-19. (2020). World Economic Forum. Retrieved from World Economic Forum.
Written by Charlie Yan



