samulta52 wrote: Fri Jan 10, 2025 11:39 am
IDpilot wrote: Fri Jan 10, 2025 10:57 am
Yes, it would. If you buy the 2034 it will mature in 2034 and then the proceeds would be exposed to inflation risk for three years. If you buy the 2040 you would have to sell them three years before they mature and what you could sell them for would depend on interest rates in 2037.
Sorry I should have clarified that earlier. Assume, no inflation risk for those 3 years and no loss when selling 2040 earlier. I am trying to understand why cost of 2040 is 40% or so higher than the 2034 TIP. What do I get for paying that extra cost upfront in 2025?
I think I see what is confusing you. We need to back up a bit and talk about how TIPS work and some basic definitions associated with bonds in general and TIPS specifically.
All bonds have a
face value which is also known as the bond's
par amount. This is the stated value of the bond at its initial issue. TIPS, and most treasuries are issued in face value increments of $100. It never changes.
Once a bond is issued it has a
price also known as the market price. This is the price of the bond per $100 of par amount. It may be greater or less than $100. A bonds price will vary over time primarily based on changes in interest rate. Bonds will have two prices, a bid price and an ask price. The bid price is what a buyer is willing to pay for a bond and an ask price is what a bond owner is willing to sell a bond for.
Here is a key point. When you buy or sell bonds your quantity of bonds bought or sold is incremented at face value. If you buy $100 of bond X which has an ask price of $50 per $100 of face value, you will get a bond with a face value of $100 and you will pay $50 for it. When that bond matures you will get $100. You don't get $200 of face value of bond X for $100.
Now we come to a TIPS specific term.
Inflation-adjusted principal which is often shortened to adjusted principal. This is the value of the security derived by multiplying the par amount by the
index ratio. As described earlier, the index ratio for a TIPS is the ratio of the CPI on the settlement date to the CPI on the issue date of the TIPS. (okay, not exactly but it ain't worth discussing the three-month lag rignt now)
Now here is a key point for TIPS. If inflation was to go to zero on the day you bought a TIPS and stayed there until your TIPS matured, you would be paid by the Treasury the inflation-adjusted principal amount and NOT the face value of the TIPS. (again, close enough for this discussion)
So, when you buy $100 of face value of a particular TIPS you will pay the asked price times the index ratio for every $100 in face value. You aren't going to get the extra adjusted principal for free!
Let's use these terms to explain your earlier quotes.
Your quote for the 2034 TIPS was for $10,000 of face value of that TIPS. The asked price was 95.554 per $100 of face value and the index ratio for January 13 is 1.02670. 10,000 * 95.554/100 * 1.02670 = $9,810.53. Add the accrued interest and you get your total cost of $9,899.39. You get
$10,267 in adjusted principal for this price.
For the 2040 TIPS the asked price was 95.718 per $100 of face value and the index ration for January 13 is 1.46016. Doing the same math as above, 10,000 * 95.718/100 * 1.46016 = 13,976.36 and add in the accrued interest and you get $14,103.68. But here you get
$14,601.60 in adjusted principal!
So, what is the difference? You are buying way more adjusted principal of the 2040 than you are of the 2034 because you are comparing buying of the same amount of face value.
If what you want to do is buy $10,000 worth of one of these TIPS in today's dollars you need to buy either $6,800 (10000/1.46016) in face value of the 2040 TIPS or $9,700 (10000/1.02670) in face value of the 2034 one. If you did this the 2040's would cost you $9503.92 of the 2034's would cost you $9516.21 (ignoring accrued interest in both cases).