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#8
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| Tad Borek <borekfm[at]pacbell.net> wrote: - quote - > tom wrote:
A couple of months ago, I wrote that I would be "shocked" by a drop in interest> > 1. I buy a 30-yr zero today at a certain price, that when calculated > > (say x%), give me some rate of return if I hold it to maturity. Based > > on my buying it today, I feel that x% is a good rate of return. > > > 2. Interest rates drop, making my x% look better today than > > yesterday, thus driving up the price of my 30-yr zero. > > > Is this right? > Yes but I have to editorialize a little...in #2 your scenario is > "interest rates drop" and I'd say "in a development that would stun bond > investors, the already pathetically low long-term interest rates drop to > even lower levels." rates. I no longer would be shocked. If the current soft spot in the economy gets softer, interest rates are likely to drop. -- Doug |
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#7
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| Thanks for the very informative answers, Tad and Rich. I was not aware of the concept of duration. I have googled some other pages on that and will take a closer look at the math behind it. This adds clarity to my original question regarding how the author made money in those particular years by buying 30-yr zeros. He was essentially betting on significant interest rate drops. -tom Tad Borek <borekfm[at]pacbell.net> wrote in message news:<chqWc.7187$QJ3.3328[at]newssvr21.news.prodigy.com> ... - quote - > tom wrote: > > 1. I buy a 30-yr zero today at a certain price, that when calculated > > (say x%), give me some rate of return if I hold it to maturity. Based > > on my buying it today, I feel that x% is a good rate of return. > > > 2. Interest rates drop, making my x% look better today than > > yesterday, thus driving up the price of my 30-yr zero. > > > Is this right? > Yes but I have to editorialize a little...in #2 your scenario is > "interest rates drop" and I'd say "in a development that would stun bond > investors, the already pathetically low long-term interest rates drop to > even lower levels." > Point being, given current long-term interest rates, I would emphasize > the risks of what happens when interest rates rise, not the benefits > when they drop. > I guess though if you're looking at a general strategy over time then > it's worth considering the "when rates drop" scenarios - yes, those are > the times STRIPs gain value. > > 1. What makes a 30-yr zero more attractive/sensitive than, say, a 10 > > or 20 yr zero? > > > 2. In general, why is a zero more attractive than any other bond that > > would behave similarly (interest rates drop, making prices rise)? You > > state above that a small change in interest rates causes a large > > change in zero prices (relative to other bond instruments, I'm > > assuming). Why is that? > Rich gave the precise answer & can do a better job of explaining it the > math side of it than I can. As he pointed out the difference is the > bond's "duration" which is a measure of how long-term a bond is, which > in turn is a measure of the bond's sensitivity to interest rate changes > (how much it'll rise/drop in value as rates change). > Descriptively...duration isn't the maturity of the bond ("20 years"), > but rather a time measure that weights all the payments you receive from > the bond - both the coupons along the way and the face value of the bond > that you receive at maturity. If you want to calculate duration > precisely, Rich gave a formula & you can google around and find duration > calculators. > Because a STRIP has no coupons (interest payments - they've been sold to > another investor) then the duration equals the term of the STRIP. But > for all other bonds your stream of payments looks different and so > duration is less than the term. Example, compare say a $10k bond paying > 5% coupons (pretend it's once per year) and its STRIP: > $500 $500 $500....<---30 yrs--> .....$500 $500 $500+$10,000 > vs. the STRIPped version of the bond: > ..................<---30 yrs--> ....................$10,000 > [If you're physics-ally inclined you might like the analogy of a 30-inch > beam with a weight on it at every inch, at each payment...coupons being > 500g & maturity being 10000g...the duration is the center of mass of > that beam.] > Now think of "interest rate risk" in the most practical sense which is > "how long might you have to sit on your hands while everyone else is > earning better interest rates?" The STRIP holder waits 30 years. The > normal bond holder at least gets those $500 coupons which could either > be spent or reinvested at the new, higher rates. And for the two-year > bond holder remember it looks like this: > $500 $500+$10k > which is less risky because you only need to sit on your hands for 2 > years, not 30 years, for your $10k. > A nice rule of thumb is that every 1% change in interest rates results > in a (1% X Duration) change in the value of the bond - roughly, it's not > precise. If rates go from 5% to 7%, a bond of duration 2 falls in value > by 2%x2=4%. A bond of duration 12 falls 2%x12=24%. A bond of duration 30 > falls 2%x30=60% (not exactly but you get the point). Now who says bonds > are conservative investments? > Of course this works both ways. If you bought STRIPs when Treasury bond > rates were at 14%+ you made a killing - you locked in that rate for 30 > years, in effect. If you'd opted for "less risk" and bought a two-year > bond at that time, then when it came time to reinvest your $10k two > years later, and two more, and two more, you ended up earning a much > lower interest rate. > Again though today I'd emphasize how low long-term rates are compared to > historical averages. Not much room to go down. > -Tad ======================================= MODERATOR'S COMMENT: Please trim the post to which you respond. |
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#6
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| tom wrote: - quote - > 1. I buy a 30-yr zero today at a certain price, that when calculated
Yes but I have to editorialize a little...in #2 your scenario is> (say x%), give me some rate of return if I hold it to maturity. Based > on my buying it today, I feel that x% is a good rate of return. > 2. Interest rates drop, making my x% look better today than > yesterday, thus driving up the price of my 30-yr zero. > Is this right? "interest rates drop" and I'd say "in a development that would stun bond investors, the already pathetically low long-term interest rates drop to even lower levels." Point being, given current long-term interest rates, I would emphasize the risks of what happens when interest rates rise, not the benefits when they drop. I guess though if you're looking at a general strategy over time then it's worth considering the "when rates drop" scenarios - yes, those are the times STRIPs gain value. - quote - > 1. What makes a 30-yr zero more attractive/sensitive than, say, a 10
Rich gave the precise answer & can do a better job of explaining it the> or 20 yr zero? > 2. In general, why is a zero more attractive than any other bond that > would behave similarly (interest rates drop, making prices rise)? You > state above that a small change in interest rates causes a large > change in zero prices (relative to other bond instruments, I'm > assuming). Why is that? math side of it than I can. As he pointed out the difference is the bond's "duration" which is a measure of how long-term a bond is, which in turn is a measure of the bond's sensitivity to interest rate changes (how much it'll rise/drop in value as rates change). Descriptively...duration isn't the maturity of the bond ("20 years"), but rather a time measure that weights all the payments you receive from the bond - both the coupons along the way and the face value of the bond that you receive at maturity. If you want to calculate duration precisely, Rich gave a formula & you can google around and find duration calculators. Because a STRIP has no coupons (interest payments - they've been sold to another investor) then the duration equals the term of the STRIP. But for all other bonds your stream of payments looks different and so duration is less than the term. Example, compare say a $10k bond paying 5% coupons (pretend it's once per year) and its STRIP: $500 $500 $500....<---30 yrs--> .....$500 $500 $500+$10,000 vs. the STRIPped version of the bond: ...................<---30 yrs--> ....................$10,000 [If you're physics-ally inclined you might like the analogy of a 30-inch beam with a weight on it at every inch, at each payment...coupons being 500g & maturity being 10000g...the duration is the center of mass of that beam.] Now think of "interest rate risk" in the most practical sense which is "how long might you have to sit on your hands while everyone else is earning better interest rates?" The STRIP holder waits 30 years. The normal bond holder at least gets those $500 coupons which could either be spent or reinvested at the new, higher rates. And for the two-year bond holder remember it looks like this: $500 $500+$10k which is less risky because you only need to sit on your hands for 2 years, not 30 years, for your $10k. A nice rule of thumb is that every 1% change in interest rates results in a (1% X Duration) change in the value of the bond - roughly, it's not precise. If rates go from 5% to 7%, a bond of duration 2 falls in value by 2%x2=4%. A bond of duration 12 falls 2%x12=24%. A bond of duration 30 falls 2%x30=60% (not exactly but you get the point). Now who says bonds are conservative investments? Of course this works both ways. If you bought STRIPs when Treasury bond rates were at 14%+ you made a killing - you locked in that rate for 30 years, in effect. If you'd opted for "less risk" and bought a two-year bond at that time, then when it came time to reinvest your $10k two years later, and two more, and two more, you ended up earning a much lower interest rate. Again though today I'd emphasize how low long-term rates are compared to historical averages. Not much room to go down. -Tad |
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#5
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| tomster71[at]mailcity.com (tom) writes: - quote - > 1. I buy a 30-yr zero today at a certain price, that when calculated
Yes.> (say x%), give me some rate of return if I hold it to maturity. Based > on my buying it today, I feel that x% is a good rate of return. > 2. Interest rates drop, making my x% look better today than > yesterday, thus driving up the price of my 30-yr zero. > Is this right? - quote - > If so, I have two follow-up questions:
It's longer-term.> 1. What makes a 30-yr zero more attractive/sensitive than, say, a 10 > or 20 yr zero? - quote - > 2. In general, why is a zero more attractive than any other bond that
Because zeros (by definition) do not throw off interest. A 30-yr zero> would behave similarly (interest rates drop, making prices rise)? You > state above that a small change in interest rates causes a large > change in zero prices (relative to other bond instruments, I'm > assuming). Why is that? has a duration (not to be confused with maturity) of 30 years. But a 30-yr bond that actually pays interest will only have a duration of 15-20 years (or even less, if it has a high coupon). If you want to look at it mathematically, if a zero has N years to go until it matures, then its current price is given by: P = F/(1 + y)^N where P = current price F = face value y = yield to maturity N = number of years to maturity If you plug some numbers into the equation (or take partial derivatives of P with respect to y and with respect to N), you'll see that the bigger N is, the more P will swing with changes in y. -- Rich Carreiro rlcarr[at]animato.arlington.ma.us |
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#4
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| - quote - > STRIPS represent a very aggressive bet on long-term interest rates. You
Thanks for the reply again, Tad.> buy them if you think rates are dropping, because they'll go up a lot in > value. You avoid them if you think rates are rising, because small > changes in long-term interest rates produce large changes in the value > of a STRIP. Maybe that's what you want to do, but be aware of how > they're valued. > Let me know if you want the long answer. > -Tad Let me see if I can guess how this works. 1. I buy a 30-yr zero today at a certain price, that when calculated (say x%), give me some rate of return if I hold it to maturity. Based on my buying it today, I feel that x% is a good rate of return. 2. Interest rates drop, making my x% look better today than yesterday, thus driving up the price of my 30-yr zero. Is this right? If so, I have two follow-up questions: 1. What makes a 30-yr zero more attractive/sensitive than, say, a 10 or 20 yr zero? 2. In general, why is a zero more attractive than any other bond that would behave similarly (interest rates drop, making prices rise)? You state above that a small change in interest rates causes a large change in zero prices (relative to other bond instruments, I'm assuming). Why is that? Thanks again. -tom |
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#3
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| Tom wrote: - quote - > 2. Regarding your question on long-term zeros when rates are low...
Tom-> looking at his back-tested restuls (to 1972), the 30 yr zeros did > amazingly well in 1982, 1985, and 1995 (156% ,107%,and 85%) as well as > doing pretty well in other years. For the 1982 and 1985 results, I'm > not sure if macro-economically speaking, this is somehow related to > recession-ish stuff? He doesn't give much analysis regarding why > stuff did well. The quick answer: go here after reading the next paragraph, it's a graph of historical rates on 30-year bonds... http://research.stlouisfed.org/fred2...GS30YR/115/Max Every time the blue line went up, STRIPS dropped a lot in value. Every time the blue line went down, STRIPS gained a lot in value. The higher up the line was, the more of a chance you had to make a killing in STRIPS. So you can see that the early 1980s was a unique time because the blue line went as high as it's ever been. And the dates you mention are times that the line went down very quickly (in part because it had a long way to drop). STRIPS represent a very aggressive bet on long-term interest rates. You buy them if you think rates are dropping, because they'll go up a lot in value. You avoid them if you think rates are rising, because small changes in long-term interest rates produce large changes in the value of a STRIP. Maybe that's what you want to do, but be aware of how they're valued. Let me know if you want the long answer. - quote - > under the Barrons
Some mortgage rates (ARMs, adjustable rate mortgages) are based on> Market Lab - Economic Indicators section, there is a subsection > entitled "Adjustable Mortgage Base Rates" and there is a list that > includes a few t-bills and t-notes with some "rate" listed. Under, > there is some small type saying, "fed annualized yields adjusted for > constant maturity" Any idea what this refers to? interest rates reported by the Federal Reserve Bank. The things you mention are some of the things that mortgage rates are pegged to. These are set by market demand and reflect "today's" interest rates. The One-year Constant Maturity Treasury rate is the current yield for a Treasury bond that matures in one year. The Five-year is that day's rate for a five-year bond. When you graph all of these rates you end up with a chart called the "yield curve". If you google all these terms or look around on the Federal Reserve sites you'll find a lot of info describing exactly what they all mean and how they're calculated and reported. Though if you do all that you can't go calling yourself a newbie anymore! -Tad |
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#2
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| Ron Peterson <ron[at]shell.core.com> wrote in message news:<10h0mt6n4avrsb8[at]corp.supernews.com> ... - quote - > Tom <trtsao[at]gmail.com> wrote:
Thanks, guys for the responses. I'll check out the references you> > 1. Does anybody know where I can find historical US T-Bond and T-Bill > > price and rate data? Let's say, going back 20 or 30 years? > Look at web site: http://www.forecasts.org/data/index.htm list. Tad - quick followup to some of your points: 1. I believe that the author actually does manage money. Doing a quick google search brings up a claim that he manages $200M. 2. Regarding your question on long-term zeros when rates are low... looking at his back-tested restuls (to 1972), the 30 yr zeros did amazingly well in 1982, 1985, and 1995 (156% ,107%,and 85%) as well as doing pretty well in other years. For the 1982 and 1985 results, I'm not sure if macro-economically speaking, this is somehow related to recession-ish stuff? He doesn't give much analysis regarding why stuff did well. 3. Thanks for the comments on yield to maturity, coupon yield, etc. Looking at Barrons MW section, under "Bonds", there is a long list of all sorts of notes and bonds with different maturity dates. I believe that the yield there is yield to maturity. Now, under the Barrons Market Lab - Economic Indicators section, there is a subsection entitled "Adjustable Mortgage Base Rates" and there is a list that includes a few t-bills and t-notes with some "rate" listed. Under, there is some small type saying, "fed annualized yields adjusted for constant maturity" Any idea what this refers to? Thanks again for the responses. -tom |
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#1
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| Tom <trtsao[at]gmail.com> wrote: - quote - > 1. Does anybody know where I can find historical US T-Bond and T-Bill
Look at web site: http://www.forecasts.org/data/index.htm> price and rate data? Let's say, going back 20 or 30 years? -- Ron |
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| Tom wrote: - quote - > I just read the book "Beating the Dow with Bonds" by Michael
The title makes me gag but a simpler point is that if you just split> O'Higgins, and his thesis (mechanically choosing between stocks, 30-yr > Zeros, and 1-yr T-bills for asset allocation once/yr) is quite > interesting to me. your money into 1/3s and invest in cash, bonds, stocks you don't do so bad. I wouldn't count on beating the Dow, but your money will grow. If he's got some scheme for shifting from one to the other "mechanically" I'd suggest moving on to another book. Those strategies are a dime a dozen. If his worked he would implement it with huge amounts of money (or leverage - borrowed money) instead of selling a book about it and scoring a lousy $30k advance. You mentioned zeros - I hope he explains the risks associated with buying long-term zeros when interest rates are low? - quote - > 1. Does anybody know where I can find historical US T-Bond and T-Bill
One source - at a library look for a book called "Stocks Bonds Bills &> price and rate data? Let's say, going back 20 or 30 years? Inflation" by Ibbotson. You can also order it but it's expensive. I think if you dig around on the US Treasury site you'll find some info as well. - quote - > 2. One of the calculations involves looking at today's 10-yr US
Without seeing exactly what quotes you're talking about...keep in mind> T-bond Yield to Maturity. If I look at the July 30 Issue of Barrons, > I can see that an Aug 14 bond has an ask yield of 3.75%, but if I look > at the Aug 1 LA Times business section, under key rates and yields, it > lists a 10-yr treasury security as having a rate of 4.47%. Can > somebody explain the difference? that for every bond there's a coupon rate and a yield (to maturity) and those are different things. A bond might pay a coupon of 4%, eg $40 per $1000 face value. But if it sells for $1,122 or $985 on the market the yield will be different than 4%, even though the coupon is still $40. The 1122 bond will be redeemed at 1000 (at maturity) and that needs to be factored into things. Try Yahoo for current, basic, bond-yield info. Or the daily Wall St Journal. - quote - > 3. Another calculation O'Higgins does is to compare the gold price
IMO gold prices are an indication of> today vs a year ago. Can somebody postulate as to the importance of > this? I'm guessing that gold price is an indicator of inflation... > which then gives an indication of whether a short term t-bill or a > long term t-bond will be better over the next year? a) jewelry demand in India (largest single use of gold last I checked) b) number of gold-related info-mercials on late night TV c) latest "Franklin Mint" offering in Parade magazine d) whether gold is the commodity-of-the-week in Chicago e) whether the stock market went down and people have forgetten a) though d) As an inflation indicator it's terrible. From a point in 1979 to another in 1999 - 20 years - gold's price change was exactly 0%. Over the same period inflation was about 240%. And that was before the price spike, it got worse...from 1981 to 2001 gold actually dropped about 50% in value while consumer prices increased a similar 200%+. The basic problem is that gold doesn't have a role in any significant economic activity. So its price is based on nonsense...speculation, really. -Tad |
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#-1
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| Hello All - I just read the book "Beating the Dow with Bonds" by Michael O'Higgins, and his thesis (mechanically choosing between stocks, 30-yr Zeros, and 1-yr T-bills for asset allocation once/yr) is quite interesting to me. But I had some questions I hope somebody can answer. 1. Does anybody know where I can find historical US T-Bond and T-Bill price and rate data? Let's say, going back 20 or 30 years? 2. One of the calculations involves looking at today's 10-yr US T-bond Yield to Maturity. If I look at the July 30 Issue of Barrons, I can see that an Aug 14 bond has an ask yield of 3.75%, but if I look at the Aug 1 LA Times business section, under key rates and yields, it lists a 10-yr treasury security as having a rate of 4.47%. Can somebody explain the difference? 3. Another calculation O'Higgins does is to compare the gold price today vs a year ago. Can somebody postulate as to the importance of this? I'm guessing that gold price is an indicator of inflation... which then gives an indication of whether a short term t-bill or a long term t-bond will be better over the next year? TIA. -tom |
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| bonds, newbie, questions |
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