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Mind your Business - 1 May 2006Bonds, Yields, Par Value, Coupons and Other Jargon!
TheoryA bond is a means by which one individual is able to lend money to a business, government or other agency. There are a number of key features about a bond and some terminology that we need to understand. Investors may be looking to use their money for two main reasons. One might be to engage is a speculative risk to gain some financial benefit. This simply means you buy the bond at one price and hope to sell it for a higher price. The second reason might be to gain a regular income. A bond has an interest rate attached to it and throughout the life of the bond you will be paid that interest. For example, if a £100 bond has a 10% interest rate attached, you will be paid £10 a year in interest for the life of that bond. The bond therefore has a potential stream of income or income stream that is attached to it. That might not sound like much but we are using simple figures here for illustration. The organisation issuing the bond will do so with the intention of raising funds. The Financial Times (FT) publishes a list of bond issues (http://news.ft.com/markets/bonds/international) . A glance at this highlights the main features of a bond. For example, on Thursday April 20th 2006, the European Investment Bank (EIB) issued $1 billion worth of bonds with a coupon of 5.25% and a maturity date of May 2013. Anyone buying these bonds therefore would be accepting that they are lending the EIB money at an interest rate of 5.25% and will be paid back their original investment in May 2013.
Bonds are but one way of investing your hard-earned money. In most cases, however, a professional investor will do this on your behalf through pension finds and insurance companies - part of the so-called 'institutional investors' who deal in billions every day. Copyright: Marcel Moura, from stock.xchng. Let us assume that you decide to buy a bond with a face value of $50,000 from this issue. There are certain things we need to be aware of:
Investment and Opportunity CostWe always have to remember that any investment is a decision by an individual to apportion funds between competing uses. If I happen to be fortunate enough to have $50,000 available I can do lots of things with it; buy a car, a boat, spend it on clothes, put it into a bank, buy some shares, and so on. So there are a variety of competing demands for my money. As with any economic decision, there can be some assumption that my decision to use my funds will be a rational one. I will be looking to get the best return on my spending so spending my money on a bond has to give a greater return than all the other competing uses for my money.
Buying bonds might be just one of many different ways to invest money - each investment has an opportunity cost associated with it. Copyright: T. Al Nakib, from stock.xchng. Factoring in the effects of changes in interest rates, inflation and what I think might happen to the economy is therefore an important aspect of the decision making process. If I intend to keep the bond until maturity I am giving up potential consumption represented by $50,000 for the next seven years - I want to be adequately compensated for that sacrifice. You might argue that I am being paid an interest rate for this sacrifice and that is indeed true. However, I am also going to have to be mindful that this income stream will stay the same for the next 7 years but $2,625 today is worth more than $2,625 in 2012 because inflation will have eroded its value. In other words, $2,625 will not buy as many goods or services in 2012 as it will do in 2006!
Yield = Coupon Rate / Market Price It is important to remember that the yield and the interest rate are not the same thing. Changes to the market price of the bond will affect the yield and this in turn will be affected by what is happening to interest rates in general. Prices and Interest RatesIn the 'news' section, we heard how interest rates are rising. What then happens to the bond market as a result of this? Assume that I bought my bond for $50,000 in 2002 with a coupon rate of 3%. Any new bond issues have to tempt investors to part with their money - remember all the different ways I could spend my $50,000? Therefore any bond issue in 2006 has to reflect the interest rates in existence at this time. Let us say that a new bond issue (same nominal value, same maturity date) is made in May 2006. The coupon rate must be competitive with other possible investments and so is issued at 5.0%. Anyone looking to buy a bond at this time has two choices. They could either buy mine (assuming I wanted to sell it) or buy one of the new issues. Which would you choose? Clearly the bond offering 5% represents a better investment than one offering 3%. Does that mean that you would not entertain buying my bond from me? Not necessarily. What I would have to do is to accept a lower price if I wanted to sell my bond. In this case the price would be bid down to a point where the yield from the two would be the same. In this case the yield would be at the higher rate of 5%. The buyer would be prepared to pay less than $50,000 to buy my bond from me. This reflects the fact that the coupon on my bond (3%) is less than they could have got from buying a new issue bond. We can calculate this using the formula above. As an investor I am looking for a yield at least the same as that I can get on a new bond issue (5%). The coupon (income) from a $50,000 bond at 3% is $1,500. Substituting the figures into the formula we get the following: 5% = 1,500/Bond Price Bond Price = $30,000 If interest rates were to fall then the reverse situation would occur. Now my bond with a 3% coupon might be more attractive than a new issue that might be being offered at only (let's say) 2.5%. I could expect the price of my bond to now rise. What we have therefore is an inverse relationship between bond prices and interest rates; when interest rates rise, bond prices will fall; when interest rates fall bond prices rise. If interest rates rise then the price of a bond is falling. What happens to the yield as a result? The yield will rise. Look back at the formula; if the denominator is a lower value and remembering that the coupon rate (the numerator) does not change then the yield must rise.
Bond prices and interest rates have an inverse relationship - when interest rates rise, bond prices will fall and vice versa. Copyright: T. Al Nakib, from stock.xchng. What we are seeing on international markets, therefore, is precisely what the theory suggests is happening. As interest rates start to rise and if the expectation is that they will continue to rise, bonds become less attractive and their price falls. As their price falls the yield rises. Given that some bonds might have many years to run before it reaches maturity, any investor will be considering income streams over a period of time. We have seen with our example of the $50,000 bond with a coupon of 5.25% has a yearly income stream is $2,625. That sum of money can be reinvested and so can these income streams generated each year until maturity. If you bought the bond at a lower price than the face value then there is also the fact that you will have that sum to consider when the bond matures. In addition to this, investors will also have to take account of what is called the term structure of interest rates. This means that there is not one interest rate in the economy but many different ones relating to different types of investment. An investment that expected someone to lock up his or her money for 30 years would tend to have a higher interest rate attached to it than one where your money could be withdrawn instantly. To help in the decision of whether to buy short term or long term bonds, investors will use what is called a yield curve to help in that decision. The yield curve is a graph which has the yield or interest rate on the vertical axis and the time on the horizontal axis. The longer the period of time the loan is tied up for the higher the yield expected. A yield curve can be used to show a range of competing bonds therefore to help make the decision. You can get some idea of this by looking at some market data - look at CNN's Bond Center or bondtalk.com and you get some indication of yield curves. Remember, though, that these will almost constantly change as bond prices change in the market. A good example of this can be gained by looking at this animation of the yield curve. (http://www.smartmoney.com/onebond/index.cfm?story=yieldcurve)
A typical 'normal' yield curve. The Effect of InflationThe other major factor affecting bond prices is inflation. Take my $50,000 bond at 5%. If inflation was 2.0% when I bought it then I have a positive real income; I have to remember that inflation reduces the value of my income streams over time. However, if inflation rises to (say) 2.5% then my real income from the bond will fall. Because of the effect of inflation the price of a bond will vary inversely with inflation for the same reason that interest rates have an inverse relationship with bond prices. QuestionLook at the following two articles:
Mark Scheme
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