As of July 22, 2025, the yield for a ten-year U.S. government bond was 4.38 percent, while the yield for a two-year bond was 3.88 percent. This represents an inverted yield curve, whereby bonds of longer maturities provide a lower yield, reflecting investors' expectations for a decline in long-term interest rates. Hence, making long-term debt holders open to more risk under the uncertainty around the condition of financial markets in the future. That markets are uncertain can be seen by considering both the short-term fluctuations, and the long-term downward trend, of the yields of U.S. government bonds from 2006 to 2021, before the treasury yield curve increased again significantly in the following years. What are government bonds? Government bonds, otherwise called ‘sovereign’ or ‘treasury’ bonds, are financial instruments used by governments to raise money for government spending. Investors give the government a certain amount of money (the ‘face value’), to be repaid at a specified time in the future (the ‘maturity date’). In addition, the government makes regular periodic interest payments (called ‘coupon payments’). Once initially issued, government bonds are tradable on financial markets, meaning their value can fluctuate over time (even though the underlying face value and coupon payments remain the same). Investors are attracted to government bonds as, provided the country in question has a stable economy and political system, they are a very safe investment. Accordingly, in periods of economic turmoil, investors may be willing to accept a negative overall return in order to have a safe haven for their money. For example, once the market value is compared to the total received from remaining interest payments and the face value, investors have been willing to accept a negative return on two-year German government bonds between 2014 and 2021. Conversely, if the underlying economy and political structures are weak, investors demand a higher return to compensate for the higher risk they take on. Consequently, the return on bonds in emerging markets like Brazil are consistently higher than that of the United States (and other developed economies). Inverted yield curves When investors are worried about the financial future, it can lead to what is called an ‘inverted yield curve’. An inverted yield curve is where investors pay more for short term bonds than long term, indicating they do not have confidence in long-term financial conditions. Historically, the yield curve has historically inverted before each of the last five U.S. recessions. The last U.S. yield curve inversion occurred at several brief points in 2019 – a trend which continued until the Federal Reserve cut interest rates several times over that year. However, the ultimate trigger for the next recession was the unpredicted, exogenous shock of the global coronavirus (COVID-19) pandemic, showing how such informal indicators may be grounded just as much in coincidence as causation.

The 2020 recession did not follow the trend of previous recessions in the United States because only six months elapsed between the yield curve inversion and the 2020 recession. Over the last five decades, 12 months, on average, has elapsed between the initial yield curve inversion and the beginning of a recession in the United States. For instance, the yield curve inverted initially in January 2006, which was 22 months before the start of the 2008 recession. A yield curve inversion refers to the event where short-term Treasury bonds, such as one or three month bonds, have higher yields than longer term bonds, such as three or five year bonds. This is unusual, because long-term investments typically have higher yields than short-term ones in order to reward investors for taking on the extra risk of longer term investments. Monthly updates on the Treasury yield curve can be seen here.

This data set contains the U.S. Treasury yield curve rates on a daily basis for a variety of maturities ranging from 1-month bills to 30-year bonds. Panel-formatted, it can be used for analyses of term structures of interest rates, forecasting of monetary policy, and time-series analysis of sovereign risk-free standards. It is especially appropriate for empirical applications of finance including bond pricing, cost of borrowing by municipalities, and macro-financial risk measurement.

At the end of 2024, the yield for a 30-year U.S. Treasury bond was **** percent, slightly higher than the yields for bonds with short-term maturities. Bonds of longer maturities generally have higher yields as a reward for the uncertainty about the condition of financial markets in the future.

Build and customize zero coupon curves using a multi-curve framework and estimate forward rates for a wide range of indices using our pricing analytics APIs.

As of December 2024, all United Kingdom government debt securities were returning positive yields, regardless of maturity. This places the yield of both UK short term bonds and long term bonds above that of major countries like Germany, France and Japan, but lower than the United States. What are government bonds? Government bonds are debt instruments where a certain amount of money is given to the issuer, in exchange for regular payments of interest over a fixed period. At the end of this period the issuer then returns the amount in full. Bonds differ from a regular loan through how they can be traded on financial markets once issued. This ability to trade bonds makes it more complex to measure the return investors receive from bonds, as the price they buy a bond for on the market may differ from the price the same bond was initially issued at. The yield is therefore calculated as what investors can expect to receive based on current market prices paid for the bond, not the value it was issued at. In total, UK government debt amounted to over 2.4 trillion British pounds in 2023 – with the majority being comprised of different types of UK government bonds. Why are inverted yield curves important? UK government bond yields over recent years have taken on a typical shape, with short term bonds having a lower yield than bonds with a maturity of 10 to 20 years. The higher yield of longer-term bonds compensates investors for the higher level of uncertainty in the future. However, if investors are sufficiently worried about both a short term economic decline, and low long term growth, they may prefer to purchase short term bonds in order to secure assets with regular interest payments in the here and now (as opposed to shares, which can lose a lot of value in a short time). This can lead to an inverted yield curve, where shorter term debt has a higher yield. Inverted yield curves are generally seen as a reliable indicator of a recession, with inverted yields occurring before most recent U.S. recessions. The major exception to this is the recession from the coronavirus pandemic – but even then, U.S. yield curves came perilously close to being inverted in mid-2019.

The dataset contains the Python code used to replicate the theoretical results in the main body of the text and the appendix of the paper "Capital Structure and the Yield Curve", published in the Review of Corporate Finance Studies.

Indicative rate at which the state can borrow money

The yield on France 10Y Bond Yield rose to 3.36% on July 30, 2025, marking a 0.01 percentage point increase from the previous session. Over the past month, the yield has edged up by 0.11 points and is 0.35 points higher than a year ago, according to over-the-counter interbank yield quotes for this government bond maturity. France 10-Year Government Bond Yield - values, historical data, forecasts and news - updated on July of 2025.

This dataset contains high-frequency sovereign bond prices and yields across multiple maturities and countries, including Australia (AU) and the United States (US). The data spans several time points and includes detailed pricing for 1-month to 30-year government securities. This dataset enables macro-financial analysis of yield curve dynamics, monetary policy impacts, sovereign risk pricing, and cross-country bond market behavior. Originally used to contextualize U.S. municipal borrowing costs relative to national benchmarks, this data supports robust time-series econometric modeling.

This analysis presents a rigorous exploration of financial data, incorporating a diverse range of statistical features. By providing a robust foundation, it facilitates advanced research and innovative modeling techniques within the field of finance.

Ct UK High Income Trust (CHI+CHIB) Navigating the Yield Curve

Financial data:

• Historical daily stock prices (open, high, low, close, volume)

• Fundamental data (e.g., market capitalization, price to earnings P/E ratio, dividend yield, earnings per share EPS, price to earnings growth, debt-to-equity ratio, price-to-book ratio, current ratio, free cash flow, projected earnings growth, return on equity, dividend payout ratio, price to sales ratio, credit rating)

• Technical indicators (e.g., moving averages, RSI, MACD, average directional index, aroon oscillator, stochastic oscillator, on-balance volume, accumulation/distribution A/D line, parabolic SAR indicator, bollinger bands indicators, fibonacci, williams percent range, commodity channel index)

Machine learning features:

• Feature engineering based on financial data and technical indicators

• Sentiment analysis data from social media and news articles

• Macroeconomic data (e.g., GDP, unemployment rate, interest rates, consumer spending, building permits, consumer confidence, inflation, producer price index, money supply, home sales, retail sales, bond yields)

Potential Applications:

• Stock price prediction

• Portfolio optimization

• Algorithmic trading

• Market sentiment analysis

• Risk management

Use Cases:

• Researchers investigating the effectiveness of machine learning in stock market prediction

• Analysts developing quantitative trading Buy/Sell strategies

• Individuals interested in building their own stock market prediction models

• Students learning about machine learning and financial applications

Additional Notes:

• The dataset may include different levels of granularity (e.g., daily, hourly)

• Data cleaning and preprocessing are essential before model training

• Regular updates are recommended to maintain the accuracy and relevance of the data

The yield on Germany 10Y Bond Yield eased to 2.68% on July 31, 2025, marking a 0.03 percentage point decrease from the previous session. Over the past month, the yield has edged up by 0.11 points and is 0.43 points higher than a year ago, according to over-the-counter interbank yield quotes for this government bond maturity. Germany 10-Year Bond Yield - values, historical data, forecasts and news - updated on July of 2025.

The spread between 10–year and two–year U.S. Treasury bond yields reached a positive value of 0.49 percent in June 2025. The 10–year minus two–year Treasury bond spread is generally considered to be an advance warning of severe weakness in the stock market. Negative spreads occurred prior to the recession of the early 1990s, the tech-bubble crash in 2000–2001, and the financial crisis of 2007–2008.

This analysis presents a rigorous exploration of financial data, incorporating a diverse range of statistical features. By providing a robust foundation, it facilitates advanced research and innovative modeling techniques within the field of finance.

Angel Oak Income Term Trust (AOF) - Navigating the Yield Curve

Financial data:

• Historical daily stock prices (open, high, low, close, volume)

• Fundamental data (e.g., market capitalization, price to earnings P/E ratio, dividend yield, earnings per share EPS, price to earnings growth, debt-to-equity ratio, price-to-book ratio, current ratio, free cash flow, projected earnings growth, return on equity, dividend payout ratio, price to sales ratio, credit rating)

• Technical indicators (e.g., moving averages, RSI, MACD, average directional index, aroon oscillator, stochastic oscillator, on-balance volume, accumulation/distribution A/D line, parabolic SAR indicator, bollinger bands indicators, fibonacci, williams percent range, commodity channel index)

Machine learning features:

• Feature engineering based on financial data and technical indicators

• Sentiment analysis data from social media and news articles

• Macroeconomic data (e.g., GDP, unemployment rate, interest rates, consumer spending, building permits, consumer confidence, inflation, producer price index, money supply, home sales, retail sales, bond yields)

Potential Applications:

• Stock price prediction

• Portfolio optimization

• Algorithmic trading

• Market sentiment analysis

• Risk management

Use Cases:

• Researchers investigating the effectiveness of machine learning in stock market prediction

• Analysts developing quantitative trading Buy/Sell strategies

• Individuals interested in building their own stock market prediction models

• Students learning about machine learning and financial applications

Additional Notes:

• The dataset may include different levels of granularity (e.g., daily, hourly)

• Data cleaning and preprocessing are essential before model training

• Regular updates are recommended to maintain the accuracy and relevance of the data

In June 2025, the yield on a 10-year U.S. Treasury note was **** percent, forecasted to decrease to reach **** percent by February 2026. Treasury securities are debt instruments used by the government to finance the national debt. Who owns treasury notes? Because the U.S. treasury notes are generally assumed to be a risk-free investment, they are often used by large financial institutions as collateral. Because of this, billions of dollars in treasury securities are traded daily. Other countries also hold U.S. treasury securities, as do U.S. households. Investors and institutions accept the relatively low interest rate because the U.S. Treasury guarantees the investment. Looking into the future Because these notes are so commonly traded, their interest rate also serves as a signal about the market’s expectations of future growth. When markets expect the economy to grow, forecasts for treasury notes will reflect that in a higher interest rate. In fact, one harbinger of recession is an inverted yield curve, when the return on 3-month treasury bills is higher than the ten-year rate. While this does not always lead to a recession, it certainly signals pessimism from financial markets.

View data of the effective yield of an index of non-investment grade publically issued corporate debt in the U.S.

Yield Curve Calibration and Libor Benchmark Rate Reform

As of July 18, 2025, the major economy with the highest yield on 10-year government bonds was Turkey, with a yield of ** percent. This is due to the risks investors take when investing in Turkey, notably due to high inflation rates potentially eradicating any profits made when using a foreign currency to investing in securities denominated in Turkish lira. Of the major developed economies, United Kingdom had one the highest yield on 10-year government bonds at this time with **** percent, while Switzerland had the lowest at **** percent. How does inflation influence the yields of government bonds? Inflation reduces purchasing power over time. Due to this, investors seek higher returns to offset the anticipated decrease in purchasing power resulting from rapid price rises. In countries with high inflation, government bond yields often incorporate investor expectations and risk premiums, resulting in comparatively higher rates offered by these bonds. Why are government bond rates significant? Government bond rates are an important indicator of financial markets, serving as a benchmark for borrowing costs, interest rates, and investor sentiment. They affect the cost of government borrowing, influence the price of various financial instruments, and serve as a reflection of expectations regarding inflation and economic growth. For instance, in financial analysis and investing, people often use the 10-year U.S. government bond rates as a proxy for the longer-term risk-free rate.

The Brazilian regulation for applying the Liability Adequacy Test (LAT) to technical provisions in insurance companies requires that the current estimate is discounted by a term structure of interest rates (hereafter TSIR). This article aims to analyze the LAT results, derived from the use of various models to build the TSIR: the cubic spline interpolation technique, Svensson's model (adopted by the regulator) and Vasicek's model. In order to achieve the objective proposed, the exchange rates of BM&FBOVESPA trading days were used to model the ETTJ and, consequently, to discount the cash flow of the insurance company. The results indicate that: (i) LAT is sensitive to the choice of the model used to build the TSIR; (ii) this sensitivity increases with cash flow longevity; (iii) the adoption of an ultimate forward rate (UFR) for the Brazilian insurance market should be evaluated by the regulator, in order to stabilize the trajectory of the yield curve at longer maturities. The technical provision is among the main solvency items of insurance companies and the LAT result is a significant indicator of the quality of this provision, as this evaluates its sufficiency or insufficiency. Thus, this article bridges a gap in the Brazilian actuarial literature, introducing the main methodologies available for modeling the yield curve and a practical application to analyze the impact of its choice on LAT.

The authors analyse 149 newly compiled monthly time series on financial market stress conditions in the euro area. With the aid of a factor model they find different sources of financial stress that are important for selecting and preparing the appropriate policy response. The existence of a “Periphery Banking Crisis” factor, a “Stress” factor and a “Yield Curve” factor seems to explain the bulk of volatility in recent euro area financial sector data. Moreover, by a real-time forecasting exercise, the authors show that including additional factors—that reflect financial sector conditions—improves forecasts of economic activity at short horizons.