Maturity: The Date an Issuer's Obligation Comes to an End

Maturity is the date a bond's face amount falls due and the issuer's obligation ends. The term to maturity is the distance from today to that date, so it shortens every morning while the date on the document never shifts. The date settles when the money arrives. The date settles nothing whatever about how long a holder has to keep holding.

A promise that never ends cannot be counted. The list of it has no last line, so the promise cannot be listed. The sum of it has no last term, so the promise cannot be added up. Neither of two endless promises ever finishes, so neither can be set beside the other and pronounced worth more or less. Writing a final date into an obligation is what converts it from an arrangement into an object, and every single thing this material does afterwards, from adding up a schedule to comparing two of them, runs on that object. The date is not one detail among the terms; it is the term that makes the other terms operable.

What exactly is the maturity date?

The maturity date is the date on which the face amount of a bond falls due and the issuer has nothing left to do. Not the date the bond stops existing in some abstract way, and not the date anybody has to decide anything. The date is the last line of the obligation, and once the money on that line has been handed over the arrangement is finished.

Hold on to where the date lives. The date lives in the document, alongside the amount owed and the rate struck on it, and it was fixed on the day the document was written. Nothing that happens later reaches it. Rates can move for ten years and the date sits where it is. The bond can pass through four pairs of hands and the date sits where it is. Somebody can pay a great deal for it or very little, and the date sits exactly where it is. The maturity date is a term of the contract like any other: written once, unaltered by anything that comes afterwards, and reading the same way for every holder it ever passes to.

The household version comes before the finance one. A household takes a loan and agrees to clear it in sixty monthly instalments, with the last one falling in a particular month five years out. Suppose the lender then sells that loan on to somebody else halfway through, and that somebody sells it on again. Does the final instalment move? Of course not. The household agreed to a date and signed it. The people receiving the money have changed, twice, and the household was not consulted about either change and did not need to be. The obligation has one shape and the ownership of it has another, and confusing the two is the mistake this whole guide is arranged around.

One more thing before moving on, and its proper place is right next to the rate itself instead of tucked into a footnote. The compounding convention in this guide is annual, and it is annual everywhere in this material. One payment a year. One discounting step a year. The convention has to sit next to the 8.50 per cent. Applied twice a year, 8.50 per cent becomes different arithmetic landing on a different figure, not the same instrument valued a bit differently. A rate handed over without its convention is a figure nobody can reproduce. A figure nobody can reproduce is a figure nobody can check.

What is the difference between the original term and the term to maturity?

The original term and the term to maturity get used as if they were one idea, and they are not even the same kind of thing. One is a label. The other is a measurement, and it is a measurement that changes while it is being looked at.

The original term is how long the promise ran on the day it was written. Ten years, in the case of the bond this material keeps coming back to. The original term never changes. Being a fact about the writing of the document rather than about today, it sticks to the instrument for the rest of its life. People will still be calling it a ten year bond in year nine, and they are not being sloppy. Naming an instrument by its original term is a perfectly ordinary way to name a thing.

The term to maturity, sometimes called the residual maturity, is how much of that promise is left from today onward. The term to maturity starts at ten years, and then it starts shrinking, and it never stops shrinking until it hits nothing. Not once a year. Continuously, every day, including the days nobody is looking. A ten year bond is a ten year bond for exactly one day. From the second day onward it is a ten year bond with less than ten years left to run, and that is a different position holding a different remaining schedule.

Why insist on the distinction? Because the two answer different questions and people reach for whichever one they heard first. Asked what a bond is, the original term is the right answer: it names the instrument. Asked what a particular holding contains, the original term is useless. A ten year bond bought at issue and a ten year bond bought nine years in are two entirely different holdings that share nothing but a name. One has ten payments coming. The other has one. For what happens next, the only number that helps is the one measuring from today.

Here is the sharpest way to see it. Take two instruments that have exactly the same amount of time left and completely different original terms, and watch what agrees and what does not.

The two rows read across as follows. The count agrees: five dates ahead on each. The lengths of time agree: five years on each. And then everything else parts company. One of them has already paid out five coupons that are gone and are not coming back to anybody now holding it. The other has paid out nothing. The amounts differ too, Rs 85.00/- against Rs 91.00/-, a gap of Rs 6.00/- a date. Repeated across the five dates, that gap stacks up to Rs 30.00/-. The check multiplies back: Rs 6.00/- times five is Rs 30.00/-, and Rs 1,425.00/- plus Rs 30.00/- is Rs 1,455.00/-. The term to maturity gives the how long and not the how much, so it settles the calendar and nothing else. Why one document contracted for 9.10 per cent a year and the other for 8.50 per cent is covered separately and is not a maturity question at all.

What does fixing a final date actually buy?

Here is the part that is easy to skate past. The point sounds like philosophy and is in fact the load-bearing wall under everything else. Putting a last date on an obligation makes the obligation finite. Finite simply means the obligation has an end. And a finite obligation can be operated on in four ways that an endless one cannot.

A finite obligation can be listed. Ten dates, ten amounts, and a last line the list actually reaches. The sum has a final term and terminates on a number, so the obligation can be added up. The list can be worked through, every amount brought back to today and the work stopped when the list stops, so the obligation can be discounted. And two finite lists both total something, so one can be set beside the other with something honest said about which of the two is preferable.

None of those four is available for a commitment with no ending written into it. There is no last line to reach, so there is nothing to total, so there is nothing to compare. The dates are what convert a promise into an object arithmetic can be done on, and every later idea in this material, from a total to a discounted value to a comparison of two instruments, is an operation on that object rather than on the promise.

The household picture again, in one line. A neighbour who says they will pay the money back at some point has made a promise. A neighbour who says they will pay Rs 2,000/- on the first of each month for six months has made an object. The second can be written down on paper and counted. The first admits of nothing at all except waiting and remembering. Between those two neighbours the difference is not sincerity; it is a last date.

What does the countdown actually look like on one instrument?

Everything so far has been said in words. Now watch it happen to a real schedule. On a real schedule the idea stops being tidy and starts being interesting.

The instrument is the one this material keeps returning to. Rs 1,000/- of face amount. Ten annual dates, one payment a year, compounding once a year. And 8.50 per cent a year as the contracted coupon rate, applied to that Rs 1,000/-, landing Rs 85.00/- on each of the ten dates. On the tenth date the last coupon and the face amount fall due together, and the date carries Rs 1,085.00/-. Add the ten dates up and the document has promised Rs 1,850.00/- in total: Rs 850.00/- of interest across the ten dates and Rs 1,000/- of face amount at the end. Run the check the other way: Rs 850.00/- plus Rs 1,000/- is Rs 1,850.00/-, and the table below starts there.

Now let the calendar move and change nothing else. No term of the document is touched. Nobody renegotiates anything. All that happens is that dates arrive, payments go out, and what is left gets shorter.

Take three settings off that table and say each one out loud. At issue: ten dates ahead, Rs 1,850.00/- still to come. Five years in: the maturity date has not moved by a single day, the term to maturity is five years, five dates lie ahead, and what is still to come is four payments of Rs 85.00/- plus the final Rs 1,085.00/-, for a total of Rs 1,425.00/-. Eight years in: two dates ahead, Rs 85.00/- and then Rs 1,085.00/-, for a total of Rs 1,170.00/-.

Stop on the third one. The third setting is where the finding is. Of the Rs 1,170.00/- still to come, Rs 1,000/- is the face amount. The face amount is 85.4701 per cent of everything left. A bond that began life as a stream of interest payments with a repayment tacked on the end has become a repayment with a little interest in front of it, and not one word of the document changed to bring that about. Only the date did.

The last column, read downward, shows it happening. The face amount's share of what is left climbs at every single step, from 54.0541 per cent at issue to 92.1659 per cent with one date left. The share has to climb, and the reason is worth spelling out because the climb is no coincidence: the numerator never moves. Rs 1,000/- is owed at the end whether the vantage point is year one or year nine. Coupons keep falling off the front of the list, so the denominator shrinks. A fixed number over a falling number rises. The arithmetic is that simple.

The shape of that fall is the second finding, and it surprises people who have only ever heard that a bond gets shorter. A bond does get shorter. A bond does not get shorter evenly. Across the first nine years the promise gives up Rs 765.00/- in nine identical bites of Rs 85.00/- each. Then, in the tenth year alone, it gives up Rs 1,085.00/-. The last single year of this bond takes away Rs 320.00/- more than the previous nine years put together.

There is a cleaner way to state the same fact, and the cleaner way converts a shape into one arithmetic line. Half of everything the document promised at issue is Rs 925.00/-. The tenth date on its own carries Rs 1,085.00/-, or Rs 160.00/- more than that half. One date out of ten carries more than half of all the money the document ever promised: 58.6486 per cent of it, against 41.3514 per cent spread over the other nine dates combined. Those two shares add to 100.0000 with nothing left over. A set of shares usually leaves a residual, and this one does not.

And it is not a quirk of these particular figures. The heavy last date is forced. Both the final coupon and the repayment land on one date, as was settled earlier in this material, and on any ordinary bond the repayment dwarfs a single year of interest. Put those two facts together and the last date of a bullet bond is always going to be the heavy one. Name it as forced arithmetic rather than as a property somebody discovered. A reader who takes it for a discovery will go looking for it in instruments that repay in slices, where it is simply not there. The amortising variant, for one, spreads the repayment across the life on purpose, and it does not have a single heavy date at all.

Does maturity mean the holder's money is locked up until then?

No. And this is the sentence the whole guide exists to deliver, so it is worth stating in a way that cannot be misread: what matures is the issuer's obligation, not the holder's money.

Read as a statement about the borrower, the maturity date falls into place. The borrower has agreed to pay Rs 85.00/- on nine dates and Rs 1,085.00/- on the tenth, and after the tenth the borrower is done. The borrower's side is what the date ends. The date says nothing at all about the holder. The document is not an agreement about how long anybody must sit still. Nothing in it obliges a holder to hold anything for any length of time.

The claim can be handed on. Transferability was settled at the very start of this material, and it is the reason a bond is a security rather than a private arrangement: a transferPassing a claim on to somebody else so that every payment from then on goes to them instead. The instrument moves; nothing written in the document moves with it. takes the whole remaining schedule and gives it to whoever takes the claim on. The new holder collects from that point and the old one does not. And critically, the borrower's position does not change at all. Nobody has to ask the borrower's permission.

So there are two questions here and they get answered by two different documents. Can a holder leave? Leaving is answered by whether somebody will take the claim, and that is a question about the liquidityHow easily a holding can be turned back into cash at short notice. It is a property of the market for a thing rather than of the thing itself. of the instrument rather than about the terms of the document. And what does a holder get on leaving? Nobody at all answers the second question, and it is the subject of the next block. Being able to go and knowing what going will fetch are separate matters with separate answers, and the second one is where people come unstuck.

What has the issuer promised about a sale before the end?

Nothing. Not a rupee, not a range, not a floor. The document promises Rs 1,000/- of face amount on the final date, and about every other date in the ten years it is completely silent.

The face amount does its damage here. Being the number printed most prominently, it is very easy to read as the value of the bond. The face amount is no such thing. The face amount is what falls due on one specified day. On every other day of the ten years it is a fact about the future and nothing more, and what somebody will hand over today for a claim on that future is a different question entirely, answered by whoever is willing to be the counterpartyWhoever takes the other side of a deal. On a sale before the final date, it is the person who has to want the claim enough to actually pay for it. on the day the question is asked.

The same demonstration has been run earlier in this material, on the identical promise, with no term of the document altered. The same schedule has been shown quoted at 87.97 and at 114.38, where a quote reads against 100.00 for a bond changing hands at its face amount. Neither of those two readings is 100.00, and the promise underneath them was the same promise both times. One of them is below the face amount and one is above it, and the document that produced both did not change a word between them.

At eight years the band carries the whole argument in one picture: the dark part is the face amount and has not budged a millimetre across the entire sweep, and the pale part is the interest and has shrivelled to a sliver beside it. The bond has not become a smaller version of itself; it has become a different shape. Then push the control the last notch to ten. The band does not shrink further. The band vanishes, in one movement, from a bar still longer than the halfway marker to nothing at all. The cliff is exactly what the staircase drawing showed, and it is the reason the last year is not like the nine before it.

When is the final date not the date that matters?

Everything so far has assumed the document has one ending. Many documents do not. Where a term gives somebody the right to bring the obligation to an end before the final date, the arithmetic above still runs, but it stops being the only arithmetic that runs, and the date at the bottom of the schedule quietly changes its meaning.

The final date stops being the date. The final date becomes the latest date. A final date with an earlier ending sitting behind it is a ceiling on how long the bond can last, not a statement of how long it will last, and those are two very different things to plan around. The forms an early ending can take, and what has to happen before one, were set out earlier in this material and are used here rather than rebuilt. Only the consequence matters for a maturity date: the moment such a term exists, the last line of the schedule is a maximum.

Which gives a reading order, and it is worth making a habit of it. The terms come first, and in particular whether any of them lets somebody end the arrangement early. Only then does the final date get read for what it is telling. Done in the other order, readers form a picture of a ten year holding, discover the call dateA date written into some documents on which a borrower is permitted to end the arrangement early. Whether one exists at all, and on what conditions, is a matter of what that particular document says. afterwards, and have to throw the picture away.

What is genuinely indexed to maturity, and what is only a naming habit?

Two very different kinds of statement travel together in ordinary conversation, and mixing them up leads people to treat a filing convention as a property of an instrument.

Three things are genuinely fixed to the date, in the sense that they can be read straight off the schedule and nobody's opinion enters into it. How many payments are left. How much money is still to come. And every calculation built on top of those two, of which this material has a great many. Change the date and all three change immediately and mechanically. All three are facts about the instrument.

One thing is not fixed to the date at all, and it looks as though it is. Where anybody draws the line between a short instrument and a long one. The line is a convention, and the moment somebody asks whose convention it is, the answer turns out to be somebody's, with somebody else holding a different one. A maturity bucketA band that somebody sorts instruments into by how much time they have left, such as under a year, or over ten. The bands are a filing habit, and whoever is doing the filing picks them. is a filing decision, not a measurement.

The first three rows can be verified by anybody with the document and a pen; the fourth cannot be verified at all, and the fifth can only be looked up. The whole distinction sits there, and it survives every change of jurisdiction. The distinction is about what kind of claim is being made rather than about which market it is being made in.

The everyday version is a street market. Two vendors both sell what they call a large bag of rice. One means five kilograms and the other means ten. Nothing dishonest is happening: the word large is a naming habit and each of them has their own. But the weight on the scale is not a naming habit, and anybody who wants to know what is being carried home weighs it rather than reading the word on the label. Payments left and money left are the scale. Short and long are the word on the label.

How does anybody actually use the date?

Four different readers pick up the same maturity date and take four different things from it. Seeing the four laid out shows how much work one line of a document does.

A household matching money to a plan reads it as a delivery date. If the fees are due in five years and the bond repays in five years, the two line up, and the household never has to ask what the claim would fetch on a random day. The real service the date performs for somebody who intends to hold is exactly that: it converts an uncertain sale into a certain arrival. Note what it does not do. The date does not promise the money will be worth what they hoped by then, and it does not promise the issuer will pay. Both are covered separately. The tax authority at incometaxindia.gov.in keeps what becomes of the money afterwards, including any capital gainThe difference between what somebody paid for a holding and what they eventually got for it. How that difference is treated once it exists belongs to the tax authority. arising on a sale.

A lender, or anybody on the issuing side, reads it as a deadline for finding the money again. Rs 1,000/- falls due on one day, and the borrower has to have it. The shape of the countdown therefore matters to an issuer as much as to a holder, and the tenth date carrying 58.6486 per cent of everything is a fact with consequences on both sides of the contract. The nine years before it are comfortable. The tenth is not, and it arrives on a date everybody has known about since the first day.

An analyst reads it as the length of the exposure. Not the length of the commitment, already established as optional, but the length of the promise being relied on. How far into the future somebody has to be right about the borrower, and about everything else, is set by that date. Everything that follows from that, and every measure of it, is covered separately.

A regulated buyer reads it as an input to a rule somebody else wrote. How much time is left decides which bucket a holding falls into, and the bucket can decide whether the holding is permitted at all. The bodies that set those buckets are named in the last block below.

Four readers, one line in one document, four completely different uses. The date is not information about a bond in general; it is information about what each of those four is trying to do. And every one of the four is reading the same fact correctly.

Who decides the rules that sit around a maturity?

Everything above this line came out of one document and a little arithmetic. Nothing above it needed a rule, an authority or a jurisdiction: a promise with a final date behaves the way it behaves in any market on earth, and the countdown just described does not change if the bond is carried somewhere else. The mechanism does not change across a border; the rule set wrapped around it does, and a rule set is a different kind of statement with a different shelf life.

Four such items arise here, and each is maintained by a body with the power to change it whenever it decides to. Each of the four is therefore named below against the body that keeps it.

Every row carries a destination. A reader comes away knowing exactly what is still needed and exactly where it lives, and that is a more useful thing to be handed than a sentence somebody typed from memory two years ago. A named gap is a finding; a filled gap with no source behind it is a liability dressed up as a service.