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Showing posts with label bond yields. Show all posts
Showing posts with label bond yields. Show all posts

Monday, November 14, 2011

How To Interpret Bond Yield Curves

Yield curves are the percent return on investment offered by financial instruments such as bonds. Bond yield curves are important indicators of economic activity, risk, monetary policy and market conditions. Consequently, bond yield curves are useful in financial analysis. For example,  bond rating and yield indicate the quality of the bonds, and the angle at which the yield curve slopes indicates how risky longer-term bond issues are perceived to be. Understanding what bond yield curves mean can help investors with assessing risk and in arriving at investment decisions such as which bonds, if any to invest in.

Duration

The length of time until a bond's face amount becomes due to the buyer is called the duration. Generally, with longer durations, the yield of a bond goes up because the opportunity cost and investment risk rises with time. It is for this reason that yield curves tend to curve upward, however the slope of these curves can either be low or high depending on the issuer's credit rating. For example, the U.S Treasury Bond yield curves below are from the Federal Deposit Insurance Corporation (FDIC) and show a higher yield for 30 year bonds than they do for 6 month bonds.  More up to date bond yield curves can be viewed at the U.S. Department of the Treasury.

U.S. Treasury Security Yield Curves
 Source: FDIC US-PD

Classification

The kind of bond also affects the bond yield curve. As evident in the above bond yield curve graphs, conventional bond yield curves are placed higher than the Treasury Inflation Protected Securities or TIPS. This is because investors are willing to pay in the form of lower yield for the inflation protection of security that is not offered by conventional bonds according to the Wall Street Journal. Moreover,  when the demand for TIPS is higher, then the yield will be lower. The reason the yield isn't higher regardless of demand is because the inflation protection is not incorporated into the yield, but rather the principal balance according to Treasury Direct.

Issuer

Bond yield curves also differ by bond issuer. For example, a country with a high credit rating is more likely to have lower bond yields, and a flatter bond yield curve due to the low-risk associated with those bonds. However, if an economy is performing badly, the affect on bond yields tends to be toward higher yields and more vertical curvature. This is evident in recent rises to Italian and Spanish bond yields after being downgraded by Standard and Poor's per Reuters. In other words, with lower-risk bond issues, price rises with demand, but the yield curve then moves down. 

Risk

Market risk also affects bond yields. To illustrate, consider an especially highly rated bond; these are thought to be a financial safe haven or low-risk investments for large institutional investors, sovereign wealth funds and individual investors seeking to lower investment risk via diversification into bonds. If other investments seem too volatile for investors, they may invest a larger amount into bonds because of their safety. The affect of this increased investing on the bond yield curve will be  a downward movement of the whole curve where the longer-term issues still curve up, but at lower yields due to increased demand.

Policy

Bond yield curves can also reflect monetary policy. A good example of this is the Federal Reserve Bank's bond buying programs. Quantitative easing as it is also known adds money to the financial system because the central bank purchases more bonds. This causes the Federal Reserve's assets to increase, and also puts downward pressure on the bond yield curve. Another example of this is the Federal Reserve Banks' 'Maturing Extension Program and Reinvestment Policy' or selling of short-term Treasury Securities and buying of long-term ones. This causes the yield curve to flatten at the back end and become more horizontal which subsequently demonstrates the influence of monetary policy on the bond yield curve.

Sunday, February 13, 2011

The Difference Between Duration and Maturity in Bond

Bonds are specific types of loans to Government(s) be they foreign, federal or municipal, or Corporations. The interest for these loans can either be fixed i.e. unchanging or floating (changing) and is paid on specific time intervals. Bonds can also be convertible to other financial instruments, have the face value paid along with interest or not, and are exchanged in secondary markets such as the Chicago Board of Trade. Two important features of bonds are their maturity dates and duration. This article will discuss the difference between bond maturity and duration.

Bond maturity

Bond maturity is fairly simple to understand in comparison to duration. Since bonds are like loans, at some point the principle of the loan has to be paid back. For example, if a bond had a 30 year life in which "coupons" i.e. the interest rate on the face value of the loan were paid, the face value of that bond could either be paid along with the coupons or bought back early as in the case with "call bonds". However, other bonds do not pay back the face value until the end of the established term of the loan. This end of bond life is known as "maturity" and is the point by which the face value of the bond must be paid back.


Bond duration

Duration is an important financial equation that measures risk of return due to fluctuations in market interest rates. For example, since bonds are loans made from companies or governments to individuals or other companies or governments and new bonds are issued frequently, the benefits of older bonds may rise or decline in relation to new bonds. In other words, if interest rates rise on new bonds, the old bonds won't be as valuable in secondary exchanges because the new bonds are a better deal. The risk of this happening is termed interest rate risk and is measurable by the duration equation.

Duration is a very useful equation to investors because of its ability to quantify interest rate risk. This quantification assists in the investment decision making process and does so by expressing the relation between interest, time, and price variables of the bond. The result becomes an "interest rate sensitivity" i.e. risk level. Logically speaking, duration is a time value that either equals, is lower or greater than the original interest payments. In other words, when interest rates fluctuate old bond prices change, causing the duration value to also change. Since duration is a weighted average function of time, the greater the difference between original duration and new duration, the more risk is present in the bond.

Bond duration equation

The duration equation is a sophisticated combination of variables that each have a unique meaning unto themselves. However, one might consider the most important aspect of the duration equation to be the outcome rather than how it is calculated as it is the outcome that helps indicate investment risk. Nevertheless, understanding the logic and the relationships between the bond variables can help clarify the dynamics and depth of understanding between the variables. This can in turn, give one a greater appreciation for the nature of the bond market, and investments within it. A few key variables in bond duration are the following:

Important variables:

• Present value of payments: Value of interest payments in proportion to face value, bond price in secondary markets. Also known as discount rate.
• Bond price: Current bond price for used bonds
• Interest rate: i.e. coupon rate
• Face value of bond: The future value at maturity
• Future value of bond: The future value if other than face value
• Time i.e. number of interest remaining in the life of the bond

Duration can be calculated by adding the sum of the present value of coupons by the weight of that coupon in proportion to total payments including face value. There are a lot of concepts built into that last sentence. Of particular relevance is weighted average which is present value of coupon rates i.e. (adjusted interest payments based on current bond prices) divided by the latest bond pricing.

Essentially, in this case, weighted average is a concept within a concept that contains another concept i.e. present value which is calculated by inputting remaining payments, new interest rate, payment amounts and future value i.e. final bond payment into a financial calculator, spreadsheet application or by hand. The result becomes a time value that is either lower, higher or the same as the original bond duration i..e time between payments and term of the bond. If the duration is lower the risk is also thought lower and if the duration is higher than original bond duration, the risk is thought higher.

Summary

Calculating duration is a way to double check accuracy in bond pricing as well as determines price risk. For the most part, adjustments in bond prices are efficiently adjusted for in the secondary bond markets through market efficiency. However, some bonds may be at greater risk to opportunity cost i.e. the risk of obtaining higher yields from alternative investments. This being the case the duration equation is a necessary tool to bond traders and investors.

Since the duration equation can be complicated and conceptually advanced, it can be a good idea to break it down in terms of its sub-components and relationships. This can help make the final equation make more sense. Following this underlying understanding, the duration equation can be simplified and expedited through the use of financial calculators and spreadsheets.

Sources:

1. Bodie, Kane and Marcus. 'Investments 5th ed.' Boston. McGraw-Hill Irwin, 2002. p.485-492
2. Brigham and Erhardt 'Financial Management: Theory and Practice 10th ed' Mason, Ohio SouthWestern, 2002 p.352-357
3. http://en.wikipedia.org/wiki/Bond_duration
4. http://www.investopedia.com/university/advancedbond/advancedbond5.asp