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Debt Capital Markets · CoreTrack
1Fixed Income, Credit & Rates
iBond Fundamentals
The BondBond Price and YieldPrincipalRedemptionFace Value, Par and PrincipalThe CouponThe IndentureThe IssuerMaturityFixed Income and Debt Securities
iiBond Pricing and Yield
What a Bond Yield…The Policy Rate and a Bond YieldCurrent Yield and Yield to MaturityYield to Maturity and Yield to CallThe Coupon and the YieldReinvestment RiskCarrySpread Return and Price Return
iiiInterest Rate Risk
Duration and ConvexityDuration and Convexity Calculator,…Key-Rate Duration vs Modified DurationThe Basis PointAccrued InterestRecovery RateSpot Rate and Forward RatePrepayment Risk and Extension RiskA Rate View and a Credit ViewInterest-Rate Risk and Reinvestment RiskHow to Analyse a…How to Review Prepayment…How to Analyse a…
ivRates Markets
The Term Structure of Interest RatesThe Yield CurveThe Forward RateThe Term PremiumParallel Shift vs Steepening…
vCurve and Carry Strategies
Curve StrategySteepener, Flattener and ButterflyHow to Read a…How to analyse a Yield-Curve ScenarioThe Butterfly TradeCarry and Roll-Down
viSovereign Bonds
Sovereign BondsPar Bond and Premium BondGovernment SecuritiesHow to Compare Government…Inflation-Linked BondsBond Total ReturnBond LadderHow to Read a Bond Term SheetHow to Map the…How to Analyse a…Treasury BillsTreasury Bill vs Sovereign BondThe Benchmark YieldThe Policy Rate and the Bond Market
viiCredit Risk
Credit RiskCredit Risk and Interest Rate RiskG-Spread, Z-Spread and Option-Adjusted…Credit SpreadTerm Premium and Credit SpreadHow to Build an…Rating ActionsDefault Rate, Loss Given…Expected Credit LossWhat a Credit Rating…A Rating Watchlist EntryThe Fallen AngelThe Credit CurveInvestment Grade and High YieldCollateral vs Guarantee
viiiCredit Analysis
Credit AnalysisCollateral, Guarantee and Credit…How to analyse a…Seniority and SubordinationCovenantsLeverage RatiosGross Leverage and Net Leverage
ixCredit Events and Recovery
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xSecuritisation
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xiFixed Income Portfolios
Ladder, Barbell and BulletFixed Income Portfolio MeasuresBarbell vs BulletHow to Map the…Tracking Error in Fixed Income
xiiFixed Income Research
Fixed Income ResearchFixed-Charge CoverageHow to assess Fixed-Income…How to Write a…The Four Assumptions That…A Liquidity Assumption and…The Spread ThesisStating Limitations in Fixed…

Redemption: How a Bond Is Repaid, and in What Form

Redemption is the event in which a bond issuer repays what is owed and the claim is extinguished. The document fixes what is repaid, on which date and at what amount. Repayment may arrive in one payment at the end, in instalments across the life, or earlier than the final date where the document hands somebody the right to end it early.

A promise with no ending written into it is a promise nobody can plan around, so every obligation carries the terms of its own close. Redemption is those terms in motion: the day the issuer hands back what was owed and the schedule stops running. The document said as much from the first morning. Everything a holder would have been entitled to after that day was never theirs. The ending and its terms are the whole idea. Everything below gives it a shape.

Made up

What to settle before reading a single figure

Who borrows the Rs 1,000/- in this guide? Nobody. A name filled in for the sake of tidiness would look exactly as solid as the parts that were genuinely recorded. The record behind this material leaves the borrower blank on the ten year 8.50 per cent bond, and blank is how it stays here. Palash Cements Limited, appearing later, is a name written for teaching. Palash Cements has been graded by nobody and is graded by nobody here.

Two further warnings on the same footing. The ten year bond carries no early redemption term at all, so every ending before its tenth date is a constructed illustration and is labelled one wherever it appears. The instalment version of it was built forwards from the only two terms that are recorded: Rs 1,000/- owed, and 8.50 per cent a year struck on it. Every rupee amount below was computed rather than observed, and no line in this guide states what a holder would actually collect.

What is redemption on a bond?

Start with the word itself. Most readers have met it somewhere unpleasant. Redemption on a bond is the issuer paying back what it borrowed and the claim ending. Nothing has gone wrong. Nothing is being rescued or salvaged. Redemption is the promise being kept, not the promise breaking down. It is the ordinary, expected, written-down close of the arrangement, and it was scheduled before the first rupee ever moved.

Here is the familiar version. A neighbour lends Rs 40,000/- for a year and the two of them write the terms on a sheet of paper: what will be paid, when it will be paid, and the day the sheet stops mattering. On that last day the money is counted out, the neighbour hands the sheet back, and one of them tears it in half. The tearing of the sheet is redemption. Redemption is the least dramatic moment in the whole arrangement and the moment everything was built towards.

Two things end at once, and they are worth separating because readers merge them. The first is the payment: money leaves the issuer and arrives with whoever is holding the instrument on the day. The second is the claim: after that payment the holder has no further right to anything from the issuer, and the issuer has no further duty to anybody. A bond that has been redeemed is not a bond that has stopped trading or a bond nobody wants. A redeemed bond no longer exists. The set of dated duties it consisted of has been fully discharged.

The reason this needs saying at all is a language accident. Elsewhere the same word describes recovering something that was in trouble, and readers who have only met it in that setting carry the alarm across. The instinct is worth watching for. Where a sentence saying an issuer redeemed a bond prompts a first question of what went wrong, that instinct is the word misleading the reader, and the rest of this guide is easier once it is switched off.

What exactly is repaid, and at what amount?

The straightforward part first. The issuer returns whatever sum it undertook to return. On the instruments here that sum is Rs 1,000/-, the face amount of the ten year 8.50 per cent bond. Any interest falling due on the same day travels alongside it, but the interest is not the repayment; it is the last of the interest. Add the two into one figure and the reader can no longer tell what the ending returned from what the schedule paid. The two belong in separate columns.

Now the part that catches people. The amount repaid and the face amount are two different quantities that usually happen to be equal, and a document is entirely free to set them apart. What a document names is a redemption amount: the sum it says falls due when the obligation ends. Very often that sum is written as the face amount and the two collapse into one number, and one number on the paper becomes one idea in the reader's head. But a document may set the redemption amount above the face amount, and where it does, the difference has a name. The difference is a premium, and a premium is paid for the ending itself rather than for the use of the money.

The habit that keeps a reader out of trouble here is a small one. A premium is always expressed against a base, and until the base is named there is no number. A document says a bond redeems at a premium of two per cent. Two per cent of what? Of the face amount, almost always. On a Rs 1,000/- instrument that makes the redemption amount Rs 1,020/-. But two per cent of the price a buyer paid, or of the amount still outstanding after instalments, would be a different sum, and the sentence on its own does not say which. The base has to be asked for in the same breath as the rate. Asking for the base is the same discipline that asks what period a rate covers, and it fails in the same way when it is skipped.

No premium figure exists for the ten year 8.50 per cent bond. The record behind this material holds none. The premium is therefore taught as a shape and left without a rupee amount. How a premium paid at redemption is treated once it reaches a holder is a separate question, named further down and covered separately.

Try it out

A document says a bond is redeemed at a premium. What is still needed before that sentence yields an amount?

What forms can the repayment take?

Bonds do not all repay the same way, and the differences are not decoration. Four arrangements cover almost everything an analyst meets. The set has a join in it that a list hides, so learn the four together rather than as four separate facts.

The first three change when the money moves. The fourth changes whether the later dates happen at all. That single division is the thing to hold on to. Read the four again with it in mind and they stop being a list and start being a structure.

The four repayment arrangements, split by what each one changes Three move the money along the calendar. One removes part of the calendar. CHANGES WHEN THE MONEY MOVES One payment at the end The whole Rs 1,000/- lands on the tenth date, so that date carries Rs 1,085.00/-. Instalments across the life Rs 100.00/- of principal on each of ten dates, so the tenth date carries only Rs 108.50/-. Money set aside over the life The issuer accumulates the repayment early. The holder's dates do not move by one day. CHANGES WHETHER IT MOVES An ending before the final date Somebody holds the right to close the obligation early. If it is used, the dates after that ending never arrive. Nothing is rescheduled. They are simply not there. The join in this set is not how many payments there are. It is whether the later dates survive at all.
One payment at the end, instalments across the life and money set aside over the life all decide when money moves, while a right to end the obligation early decides whether the remaining dates arrive at all.

One payment at the end

The whole amount owed lands on the final date and nothing is paid down before it. On the ten year 8.50 per cent bond that means the amount outstanding sits at Rs 1,000/- for the entire life, ten interest payments of Rs 85.00/- come and go without touching it, and then Rs 1,000/- is repaid on the tenth date. The tenth date therefore carries Rs 1,085.00/-, the last interest and the whole repayment together. One payment at the end is the shape most bonds have, and everything else below is measured against it.

Instalments across the life

Here the amount owed is retired in slices, so it steps lower each year instead of sitting still. Suppose the same Rs 1,000/- were repaid in ten equal slices of Rs 100.00/-, one on each date. The amount still owed starts at Rs 1,000/-, drops to Rs 900.00/- after the first date, and reaches Rs 100.00/- before the last one. Two consequences follow and both surprise readers.

The first is that the final date is now tiny. The last slice of Rs 100.00/- and the last interest of Rs 8.50/- come to Rs 108.50/-, against Rs 1,085.00/- on the one payment shape. On an instalment bond the final date is the smallest payment of the life, not the largest. For a reader who has only ever seen the one payment shape, that reversal is genuinely disorienting the first time.

The second is that the interest total collapses, and it collapses for a reason worth spelling out. Interest is struck on what is outstanding, and on the instalment version the outstanding amounts across the ten dates are Rs 1,000/-, Rs 900.00/-, Rs 800.00/- and so on down to Rs 100.00/-. The ten balances add to Rs 5,500.00/-. On the one payment version the same ten balances are Rs 1,000/- ten times over, or Rs 10,000.00/-. Striking 8.50 per cent once on each of those totals gives Rs 467.50/- against Rs 850.00/-, a difference of Rs 382.50/-. The second route is worth seeing for one reason. The rate is identical on both sides and cancels out of the comparison entirely, so the whole of the Rs 382.50/- is a difference in what the rate was struck on, and none of it is a difference in the rate. Arithmetic forces that, and no coincidence is on offer to admire.

No instalment version of this instrument is recorded anywhere, so the instalment figures were put together here rather than looked up. Two things fed the construction and nothing else did: Rs 1,000/- of principal to be handed back, and 8.50 per cent a year applied to whatever was still outstanding. The amounts were computed row by row first and then checked the second way, and the two routes land on Rs 467.50/- together. Add the Rs 467.50/- of interest to the Rs 1,000/- of principal and this version hands the holder Rs 1,467.50/- across its life, against Rs 1,850.00/- on the one payment shape.

Money set aside over the life

The third arrangement is the one readers most often misplace, so read the next sentence slowly. An issuer may be required, or may choose, to put money aside each year towards the eventual repayment. Setting money aside changes how the issuer gets ready for the repayment and changes nothing whatsoever about the holder's dates. The holder still receives interest on the same days and still receives the repayment on the same day. The issuer has been accumulating the money instead of expecting to find it on the morning.

The everyday version is a household putting Rs 3,000/- a month into a separate tin because a wedding contribution of Rs 36,000/- falls due next December. The date of the contribution has not moved. December is still December. All that has changed is that the household is no longer going to be scrambling on the first of the month. An authority sets what must be disclosed about such an arrangement and how the money must be held, and those rows are named below rather than described.

An ending before the final date

The fourth is different in kind, not in degree. Here the document gives somebody the right to bring the whole obligation to a close before the final date, and if that right is used, the remaining dates do not arrive at all. The first three arrangements rearrange a fixed set of payments along the calendar. A right to end early deletes part of the calendar. Deleting dates is why the fourth arrangement sits on its own side of the structure, and why the next section is about nothing else.

Try it out

An issuer sets money aside each year towards repaying a bond. Has the repayment date changed for the holder?

Try it out

A Rs 1,000/- bond repays in ten equal instalments of Rs 100.00/-. What falls due on its final date?

Try it out

A document gives one side the right to end a bond early. Who does that right work for?

Risk Management Program Bootcamp — Fin Maverick

Who can bring the obligation to an end early?

A document can hand that right to the issuer, or to the holder, or to neither. The three possibilities end there and no others exist. The mechanics are simple. The part a reader has to carry away is what each arrangement means for the person standing on the other side.

Where the issuer holds the right, the holder's schedule can be stopped on a day the holder did not pick. Where the holder holds the right, the issuer can be made to hand the money back before it had planned to. Where neither holds it, the schedule is simply the schedule and neither side can shorten it. A right to end early is held by one side, exercised when it suits that side, and therefore used at close to the worst available moment for the other. That is not cynicism about anybody's motives. A right is exactly that: a choice one side makes at the moment it suits them, and the person who did not get the choice absorbs whatever falls out of it.

The same thing happens in a familiar setting. An owner rents out a room and the agreement lets the owner end the arrangement with a month of warning. The clause gets used on the day the owner has somewhere better to put the room, and that day is precisely the one the tenant would rather it were left alone. Turn the clause around so the tenant can leave on a month of warning and the timing flips with it. The tenant goes on finding somewhere better, and that is the day the owner would rather they stayed. Neither party is behaving badly. The clause simply sits with one of them.

The same right, read from each side of the arrangement A right belongs to one side. Which side it is decides who absorbs the timing. THE RIGHT IS THE ISSUER'S WHO CHOOSES The borrower. WHAT THE OTHER SIDE FACES The schedule can be stopped on a day the holder did not choose. WHEN IT GETS USED When ending early suits the borrower, which is when it suits the lender least. THE RIGHT IS THE HOLDER'S WHO CHOOSES The lender. WHAT THE OTHER SIDE FACES The borrower can be made to repay before it had planned to. WHEN IT GETS USED When ending early suits the lender, which is when it suits the borrower least. Where a document gives the right to neither side, the schedule is the schedule and nobody can shorten it.
A right held by the issuer means a holder's schedule can be stopped at a moment the holder did not choose, and a right held by the holder means the issuer can be required to repay before it had planned to.

Why would an issuer want the right at all? Because it may want to refinanceTo repay one borrowing by taking out another. Whether that is worth doing, and what makes it attractive at one moment and not another, is worked through separately. later, and a document that lets it close this obligation is a document that lets it replace this obligation. Why would a holder want it? Because a right to demand the money back early is a way out that does not depend on finding a buyer. Neither of those is given a price here. Pricing machinery covered separately settles what a right to end early is worth, and what its presence does to what anybody would pay for the bond. What is shown here is the effect on the schedule, which is a different question, and the one a definition has to settle before anything else.

A form is otherwise being taught in the abstract, so the terms the instrument used here actually carries are worth stating plainly. The ten year 8.50 per cent bond has no early redemption term of any kind. Its document, as recorded, gives the right to neither side. So everything below that shows an ending before the tenth date is a constructed illustration of what such a term would do, built to make the shape visible, and it is not a term of that bond. The label gets forgotten between one screen and the next, so it appears again beside the worked runs and beside the control.

One more distinction while the ground is clear. A holder who wants out of a bond has two quite different routes. One is a right to require repayment, and it only exists where the document created it. The other is selling the instrument to somebody else in the secondary marketWhere an existing instrument changes hands between one holder and the next. The borrower is not involved, and its obligation stands whoever holds the instrument., which needs no permission from the document and no cooperation from the issuer at all. Selling is not redemption. Selling substitutes one holder for another and leaves every future date exactly where it was; redemption removes the dates. Readers merge these two constantly, and the test that separates them is simple: after the event, does the issuer still owe those payments to somebody? If yes, it was a sale. If no, it was a redemption.

What happens to the rest of the schedule when a bond is redeemed?

Everything dated after the redemption stops. Not reduced, not rescheduled, not paid at a discount. The dates that were to come after the ending simply do not occur, and the document is being followed exactly when they fail to occur. Readers underweight this part of redemption. Nothing about the event announces itself as a change.

Every one of those payments was conditional on the bond still being outstanding, so the payments that stop were never a loss, and they are absolutely a change in what the holder receives. Both halves of that sentence are true and readers usually want only one of them. Hold both. Nothing was taken from anybody: a holder who reads their document carefully knew from the first day that those payments existed only while the obligation did. And a holder who had built anything on those dates now has a hole exactly where they were.

Look at the two pictures below before reading on. The upper one is the ten year 8.50 per cent bond as written: nine small payments of Rs 85.00/- and then a tenth date carrying Rs 1,085.00/-, the last interest and the whole Rs 1,000/- repayment together. The lower one is what a constructed ending after the first date would leave: one date carrying Rs 1,085.00/-, and then nothing. Notice that the lower picture is not the upper one shrunk; it is the upper one cut, with the tall bar dragged left rather than made shorter. That difference is the whole of this section, and it is why a drawing earns its place here where a sentence would slide past.

An ending cuts the timeline. It does not shrink it. AS WRITTEN: ten dates, Rs 1,850.00/- in all Rs 85.00/- Rs 1,085.00/- the last interest, Rs 85.00/- the repayment, Rs 1,000/- 1 2 3 4 5 6 7 8 9 10 AFTER A CONSTRUCTED ENDING ON THE FIRST DATE: Rs 1,085.00/- in all Rs 1,085.00/- every date after this one is written but never arrives 1 2 3 4 5 6 7 8 9 10 Solid bars are payments received. Dashed outlines are the dates an ending after the first one removes: nine of Rs 85.00/-, which is Rs 765.00/-, and the repayment itself, which has moved onto the first date.
An ending after the first date leaves the holder of the ten year 8.50 per cent bond with Rs 1,085.00/- and no further dates, against Rs 1,850.00/- across ten dates if the schedule runs to the end.

There is a second thing the picture shows that the sentence does not. The repayment is present in both outcomes. The repayment has not shrunk, it has not been forfeited and it has not been paid in part; it has moved. Only the number of interest payments collected before it arrived varies between one ending and another. The repayment is the constant across every possible ending, and the interest is the whole of the variable. Hold that and the arithmetic in the next section becomes almost obvious.

The constant repayment has a consequence people find counterintuitive. The earlier the ending, the larger a share of the holder's total the repayment turns out to be. End the ten year 8.50 per cent bond after one date and the Rs 1,000/- is 92.17 per cent of the Rs 1,085.00/- collected. Let it run to the tenth date and the same Rs 1,000/- is 54.05 per cent of Rs 1,850.00/-. The repayment did not grow or shrink between those two readings. Everything around it did.

Try it out

A holder says an early redemption cost them nine years of interest. Is that the right way to describe it?

Mutual Funds Bootcamp — Fin Maverick

How is redemption different from an issuer failing to pay?

Both end a schedule, and that is the entire extent of the resemblance. Everything else about them runs in opposite directions, and the confusion between them is the single most expensive misreading of the word in this guide.

Redemption is the document being followed. A failure to pay is the document being broken. One line each, and there is not much more to add, but there is a great deal to see. In a redemption the issuer does what it undertook to do, the money arrives, and the claim closes because it has been satisfied. In a failure to pay the issuer does not do what it undertook to do, the money does not arrive, and the claim stays wide open precisely because it has not been satisfied. A holder who has been redeemed has nothing left to ask for. A holder who has not been paid has everything left to ask for.

The difference shows up in two positions on the same calendar date. Two bonds both stop paying in their fourth year. On the first, the issuer redeemed it: the holder received the repayment in full along with the interest due that day, and there is nothing further owing in either direction. On the second, the issuer could not pay: the holder received nothing that day and is now holding a claim rather than a settlement. Recovery in that second case, through whom and on what footing against everybody else with a claim, is a large subject in its own right and is covered separately. The distinction is drawn here for one narrow purpose: so that the word redemption is never read as an alarm.

Two schedules that stop in the fourth year, for opposite reasons Both stop. Only one of them is the document being followed. REDEEMED IN YEAR FOUR repayment made here WHAT HAPPENED The document was followed. WHAT ARRIVES ON THAT DATE The repayment in full, plus the interest due that day. THE CLAIM IS DISCHARGED COULD NOT PAY IN YEAR FOUR nothing arrives here WHAT HAPPENED The document was broken. WHAT ARRIVES ON THAT DATE Nothing. What may be recovered is a separate question entirely. THE CLAIM IS STILL OPEN Redemption is not a warning sign. It describes an arrangement completing on its own terms. The two panels above share exactly one feature: a schedule stopped. Nothing else about them matches.
Redemption is the document being followed and a failure to pay is the document being broken, so two schedules that both stop in the fourth year leave their holders in entirely different positions.

In the moment neither event carries a label, so a practical marker helps here. After the event, the question is whether the issuer still owes those payments to anybody at all. If the duty has gone because it was met, that was a redemption. If the duty has gone nowhere and is sitting unmet, that was a failure to pay. The money not arriving is common to both descriptions; the standing of the duty afterwards is what tells them apart.

One mechanical wrinkle is worth knowing. Where an ending falls on a date that is not one of the scheduled interest dates, there is accrued interestInterest that has built up since the last payment date and has not been handed over yet. Turning it into an exact figure needs a counting rule that is set elsewhere and is not reproduced here. sitting between the last payment and the ending, and somebody has to compute it. Every ending in this guide falls exactly on a scheduled date, so no such amount arises in any figure here, and the counting rule that would produce one is set by an authority rather than by the document.

Try it out

Two bonds stop paying in year four. On one the issuer redeemed it; on the other the issuer could not pay. Same outcome for the holder?

Debt Capital Markets Bootcamp — Fin Maverick

What do the two runs on the ten year 8.50 per cent bond actually pay?

Take the instrument as written first. Rs 1,000/- of face amount. Ten annual dates. A rate of 8.50 per cent written into the contract and struck each year on that Rs 1,000/- and on nothing else. Compounding annual, the convention every rate here runs on. Each of the ten dates carries Rs 85.00/- of interest. The tenth date carries the last Rs 85.00/- and the Rs 1,000/- repayment together, so Rs 1,085.00/- moves on one day, and across the whole life the holder has received Rs 1,850.00/-.

Now the second run, and the label matters. The ten year bond has no early redemption term, so what follows is a constructed illustration of what such a term would do and not a term of the instrument. Suppose a document otherwise like this one let the issuer close the obligation after the first date, at the face amount and with no premium. The holder collects Rs 85.00/- of interest and the Rs 1,000/- repayment, or Rs 1,085.00/- in total, and the schedule stops there.

Set the two side by side and something small and useful falls out. The figure Rs 1,085.00/- appears in both runs, once as the tenth date of a ten year promise and once as everything a holder ever received, and only the redemption terms decide between the two. That is not a coincidence: it is forced by the arithmetic, because both amounts are one interest payment plus the repayment, and the only difference is what surrounds them. The gap between the two outcomes is Rs 765.00/-, or nine interest payments of Rs 85.00/- dated after the ending.

The ten year 8.50 per cent bondAs written, ten datesEnding after date one
Interest collectedRs 850.00/-Rs 85.00/-
Repayment collectedRs 1,000/-Rs 1,000/-
Everything the holder collectsRs 1,850.00/-Rs 1,085.00/-
Interest dated after the endingRs 0.00/-Rs 765.00/-
Share of the total that is the repayment54.05 per cent92.17 per cent
Share of the total that is interest45.95 per cent7.83 per cent

The two share rows are printed to two places for a reason, so they repay careful reading. On the ten date run the two shares are 54.05 and 45.95, and they close on 100.00 exactly. Rounded to one place instead they are 54.1 and 45.9, adding to 100.0 by luck rather than by arithmetic, and the luck runs out on other numbers. Where a set of shares has to close on a hundred, the second place is carried and both sides of the split are stated rather than one side and a subtraction.

From one ending to the other: what the nine absent dates are worth The repayment sits inside both totals. Only the count of interest payments moves. Rs 1,085.00/- plus Rs 765.00/- Rs 1,850.00/- ends after the first date constructed illustration nine interest payments of Rs 85.00/-, one per slice runs to the tenth date the schedule as written Both totals contain the same Rs 1,000/- repayment. The nine slices between them are the whole difference.
Rs 1,085.00/- is the tenth date of the ten year 8.50 per cent bond and would also be everything received if the obligation ended after the first date, and the Rs 765.00/- between those two outcomes is interest that was dated after the ending.

The finding fits in one sentence, and it is the sentence this guide exists to hand over. An early ending does not take anything away from a holder; it stops the dates arriving, and whether that matters depends entirely on whether the holder had counted on them. Two holders can meet the identical event and be affected completely differently, and nothing in the bond explains the difference. The difference is in what each of them had planned.

Both runs above are settings of one small expression, and writing it down makes every other setting available without another table.

Everything a holder collects, for any ending
$$ T(k) = C \times k + F $$
T(k)everything collected if the obligation ends on date k, in rupees
Cthe interest payment on one date, which is Rs 85.00/- here, being 8.50 per cent of the face amount
kthe date the obligation ends on, counted in whole years from the first date
Fthe face amount repaid at the ending, Rs 1,000/- here, with no premium assumed
What it says in wordsWhat a holder collects is however many interest payments arrived before the ending, plus the repayment, which is present whenever the ending happens. Set k to ten and it gives Rs 1,850.00/-; set k to one and it gives Rs 1,085.00/-, which are the two runs above.

The mirror of that expression is the part a holder feels rather than banks, and it deserves its own line because it is what the drawing above shows.

Interest dated after the ending
$$ R(k) = C \times (n - k) $$
R(k)interest carrying dates later than the ending, so it is written into the schedule and never arrives
nthe number of dates the schedule was written for, which is ten here
C, kas above, the interest on one date and the date the obligation ends on
What it says in wordsThe interest that never arrives is one payment for every date between the ending and the end of the written schedule. At an ending after the first date that is nine payments, or Rs 765.00/-; at an ending on the tenth date it is nothing at all, because there were no dates left.

One more setting produces a tidy result, so try it before moving on. An ending after the fifth date collects five interest payments of Rs 85.00/-, or Rs 425.00/-, plus the Rs 1,000/- repayment, giving Rs 1,425.00/-. The interest dated after that ending is also Rs 425.00/-. An ending exactly halfway through a ten date schedule splits the interest exactly in half. An evenly spaced schedule with an equal payment on every date forces that split rather than offering a property worth admiring. A neat number deserves that question: whether it had to come out that way, and it is interesting only if the answer is no.

How much of the total is the repayment itself
$$ S(k) = \frac{F}{C \times k + F} $$
S(k)the repayment as a share of everything collected, on an ending at date k
Fthe face amount repaid, Rs 1,000/- here
C, kthe interest on one date, and the date the obligation ends on
What it says in wordsThe earlier the ending, the more of what a holder collected is the repayment, because there is less interest around it. At an ending after the first date the repayment is 92.17 per cent of the Rs 1,085.00/- collected; after the fifth it is 70.18 per cent of Rs 1,425.00/-; on the tenth date it is 54.05 per cent of Rs 1,850.00/-.

Does a second instrument change the shape of any of this?

A single instrument can make an accident look like a rule, so the shape is worth checking against something with different terms. Palash Cements Limited is the second borrower these materials use, and its bond runs for five dates at a contracted coupon rate of 9.10 per cent a year, worked here on a face amount of Rs 1,000/- to match the way it is handled elsewhere. The rate matters: it is higher than the 8.50 per cent on the ten year bond, not lower.

What each promise is made ofTen dates at 8.50 per centFive dates at 9.10 per cent
Interest on one dateRs 85.00/-Rs 91.00/-
Number of dates105
Interest across the lifeRs 850.00/-Rs 455.00/-
Repayment at the endingRs 1,000/-Rs 1,000/-
The whole promiseRs 1,850.00/-Rs 1,455.00/-
The final date on its ownRs 1,085.00/-Rs 1,091.00/-
Share of the promise that is the repayment54.05 per cent68.73 per cent
Share of the promise that is interest45.95 per cent31.27 per cent

The direction surprises almost everybody, and a tidy column lets a reader skim straight past it. Stop on the bottom row and read it against the top one. The bond with the higher contracted rate puts the smaller share of its promise into interest: 31.27 per cent on the five dates at 9.10 per cent, against 45.95 per cent on the ten dates at 8.50 per cent. The rate lost to the number of dates. Ten payments of a slightly smaller amount beat five payments of a slightly larger one, and it is not close.

Which shows what redemption is doing on a short bond. On the Palash Cements bond, 68.73 per cent of everything promised is the single repayment at the end, so nearly seven rupees in every ten arrive on one day. The shorter the schedule, the more the whole arrangement rests on the redemption date, and the less the interest dates matter to the total. A reader comparing two bonds by their coupon rates alone has looked at the part that varies least.

Try it out

Suppose the ending moves from the first date to the second. What does the holder collect in total then?

Play with it

Move the ending date and watch the schedule get cut rather than shrunk

One control, the date the obligation ends on, from the first annual date to the tenth. Nothing else moves. Rs 1,000/- is what gets handed back, wherever the ending falls. The interest is struck at 8.50 per cent a year on an annual convention. The ending is assumed to occur at the face amount, with nothing added on top. The control opens on the tenth date, the schedule as written.

date 1ends on date 10date 10
The ten year 8.50 per cent bond, ended on the selected date Solid bars are collected. Dashed outlines are dates written into the schedule that never arrive. 1 2 3 4 5 6 7 8 9 10
Everything collected
Rs 1,850.00/-
Interest collected
Rs 850.00/-
Interest dated after the ending
Rs 0.00/-
The repayment as a share of the total
54.05 per cent
Educational illustration. The ten year 8.50 per cent bond was written for teaching, and its 8.50 per cent is an assumed rate rather than a level any market set. The record behind this guide gives that bond no early redemption term, so every setting other than date 10 is a constructed illustration of what such a term would do. Redemption is assumed to occur at the face amount with no premium, because a premium is a second variable and this control has one. What an early ending would do to what anybody would pay for the bond is covered separately. Compounding is annual throughout, and every amount is held in whole paise.

Two things are worth watching as the control moves. The first is that the tall bar slides sideways instead of getting shorter: the repayment is the same Rs 1,000/- wherever the ending lands, and only its position on the calendar changes. The second is that the total moves in equal jumps rather than smoothly. Only a whole interest payment of Rs 85.00/- is ever added or removed. There is no setting that yields two thirds of a payment, and that is a property of the schedule rather than of the drawing.

Everything collected, against the date the obligation ends Ten outcomes, nine equal steps, and each step is exactly one interest payment. one step, Rs 85.00/- Rs 1,085.00/- Rs 1,850.00/- 1 2 3 4 5 6 7 8 9 10 The line starts from Rs 1,000/-, not zero: the repayment is in every one of the ten outcomes. Only the number of interest payments changes, and each step up is exactly one of them, Rs 85.00/-.
Moving the ending from the first date to the tenth raises everything collected from Rs 1,085.00/- to Rs 1,850.00/- in nine equal steps of Rs 85.00/-, which is what it means to say the dates are the instrument.

Who actually reads a redemption clause first, and why

Three groups read it before anything else, and it is instructive that none of them is reading it for excitement.

A treasury team at a company holding bonds against a known future outgoing reads it because the whole point of the holding is that a specific amount is available on a specific date. If the document lets the issuer end the arrangement early, the date the treasury is relying on is not a date; it is a maximum. The team will note the earliest possible ending beside the maturity date, and the earlier of the two goes into the plan.

A household reads it for exactly the same reason at a smaller scale. Somebody has bought a bond so that a specific sum is there when a child finishes school in nine years. The relevant question is not what the bond pays. The question is whether anybody other than them can decide the arrangement is over before then, and where the answer is yes, the household has a second thing to plan: what happens to a lump of principal that arrives in year three of a nine year plan.

A lender doing the reverse reads it as an issuer would. On the borrowing side, a right to end early is a right to refinance if circumstances change, and the absence of one means being committed to this arrangement for its full length whatever happens. Which of the two a borrower wants is a real decision with real consequences, and it is settled at the point the document is drafted rather than afterwards.

The operational reading is duller and matters more often than any of them. Somebody has to know who to pay, and on a bond that is decided by the record of holders rather than by anybody's memory. The registrarThe party that keeps the list of who is holding the instrument. The list, on the relevant day, decides whose bank account the money lands in, whoever bought or sold in the weeks before. holds that record, and the money at redemption goes to whoever is on it on the day that counts, regardless of who held the bond last month. The registrar's record is the dullest fact about a redemption and the one that decides where Rs 1,000/- actually goes.

The plan built on the maturity date, when the document contains an earlier one

Somebody buys a ten year bond to meet a need they can already name in ten years. The buyer checks the maturity date, sees it lands where they wanted, and treats the ten interest payments and the Rs 1,000/- repayment as settled. The redemption terms go unread, and if those terms give the issuer a right to end the obligation early, the issuer may use it. On the constructed illustration worked through above, an ending after the first date hands back Rs 1,085.00/- and removes Rs 765.00/- of dated interest from the plan.

The mistake is not made by careless readers. Readers who checked the maturity date carefully make it. The maturity date is the thing everybody knows to look for, and checking it is exactly how a bond document gets read when there is not much time. Nothing goes wrong at the moment the plan breaks, either. The money arrives, in full, on time by the document's own reckoning, and the account balance goes up. The absence of any error message is what makes the mistake expensive.

The cost is not the Rs 765.00/-, always conditional and never anybody's to lose. The cost is that the holder now has a lump of principal in their hands years before they had any use for it, and has to reinvestTo put money that has come back into something else that earns. Earnings on money put back to work depend on rates on the day it arrives, and those rates are a separate subject. it at whatever is available on that day rather than at the arrangement they had already locked in. The plan has not lost money. The plan has lost its certainty, and certainty was the thing the plan was for.

The redemption terms decide whether the maturity date is the date that matters, so the fix is one sentence long: read the redemption terms first.

SUMMARY OF TERMS The section that decides whether the other sections matter MATURITY DATE the tenth annual date read INTEREST Rs 85.00/- on each of ten dates read REDEMPTION TERMS never opened the maturity date only counts if this box is empty WHAT IT COSTS Rs 1,085.00/- comes back on a date the holder did not choose. Rs 765.00/- of dated interest is simply absent from the plan. The money is not the cost. The cost is a lump of principal arriving years early, to be put somewhere at whatever rates exist that day rather than the one already locked in. NOTHING WENT WRONG AT ANY POINT The clause that decides whether a maturity date matters is the clause most likely to go unread.
A holder who read the maturity date and not the redemption terms receives the repayment on a date they did not choose, with the remaining interest payments simply absent and nothing at all having gone wrong.
Portfolio Management Bootcamp — Fin Maverick Reading a Term Sheet Structurally — free micro-course from Fin Maverick

Who sets the rules around repaying a bond and paying the money out?

Five questions have come up so far, each of them answered by an authority rather than here. An issuer's duties before ending a bond early, and the warning a holder is entitled to first. The route redemption money travels down on its way to the person holding the bond. The disclosure required on money set aside over the life towards the repayment. How an amount paid above the face amount at the ending is treated once it reaches somebody. And how long it takes for a bond bought today to change hands and be paid for.

All five have real answers, kept and revised by authorities. Five requirements named, with each answer left where the authority that maintains and revises it keeps it. A period, a route or a treatment recalled from memory does not merely grow old. The day somebody revises it, the recalled version goes false, silently, with nothing to show that it has. A reader leaning on a printed period would never find out. A reader sent to the address would.

Five rows named here and answered elsewhere The label is printed. The contents live with whoever maintains and revises them. THE QUESTION WHOSE ANSWER IT IS, NOT WRITTEN HERE What an issuer must do before ending a bond early, and the warning a holder is entitled to first SEBI, sebi.gov.in The route redemption money travels down on its way to the person holding the bond The Reserve Bank of India, rbi.org.in What has to be disclosed about money set aside over the life towards the repayment SEBI, sebi.gov.in How an amount paid above the face amount at the ending is treated once it reaches a holder SEBI, sebi.gov.in, and for tax the tax authority, incometaxindia.gov.in How long it takes a bond bought today to change hands and be paid for The Reserve Bank of India, rbi.org.in, and SEBI, sebi.gov.in Type a period or a route into one of these cells from recollection and it does not simply grow old. It goes false the morning somebody revises it, and no mark appears anywhere to say so.
The rows covering what an issuer must do before ending a bond early, what warning a holder gets, how the money is paid out, what must be disclosed about money set aside for the repayment and how a premium is treated are drawn empty with the Securities and Exchange Board of India (SEBI) at sebi.gov.in and the Reserve Bank of India at rbi.org.in printed inside them.

One consequence is worth stating, and it changes how the mechanism above should be read. The mechanism above, all of it, is written without leaning on any rule set at all. The only exception is the compounding convention, annual here and said out loud on purpose. Nobody can rebuild an interest figure without first knowing how often the rate is applied. Everything else about redemption, what it is, what it returns, what forms it takes and what an early ending removes, is true of a bond obligation anywhere, and only the five rows below change when the market does.

India

Where is each of the five answers actually kept?

With an authority, in every case. Each of the five rows below carries a label rather than an answer, and the current text at the address beside a row is what governs.

The questionWhose answer it is
What an issuer must do before ending a bond early, and the noticeA formal warning one side must give the other before doing something the document permits. The length of that warning is maintained by an authority elsewhere. a holder is entitled to firstSEBI, sebi.gov.in
The route redemption money travels down on its way to the person holding the bondThe Reserve Bank of India, rbi.org.in
What has to be disclosed about money set aside over the life towards the repayment, including anything the trust deedThe document setting out the rights the lenders hold as a group and who enforces them on their behalf. What it must contain is prescribed by an authority and is not copied out here. must carrySEBI, sebi.gov.in
How an amount paid above the face amount at the ending is treated once it reaches a holderSEBI, sebi.gov.in, and the tax authority, incometaxindia.gov.in
How long it takes for a bond bought today to change hands and be paid forThe Reserve Bank of India, rbi.org.in, and SEBI, sebi.gov.in

The mechanism itself does not depend on the rules of any one market, so a second market adds extra rows to this list rather than changing anything above it.

Try it out

Why is the warning a holder must be given before an early redemption not stated in this guide?

This guide has been about the repayment event: what comes back, at what amount, in which form, and what an ending before the final date removes. The final date itself, what fixing a date does to a promise and how a term to maturity is measured and shrinks, is covered separately. The amount borrowed, the amount still owed and the base a contracted rate is struck on are also covered separately and were used here rather than rebuilt. What a right to end early is worth, and what its presence does to what anybody would pay, both need pricing machinery covered separately, which is why the effect on the schedule is shown here and the effect on a price is not. What happens after an issuer fails to pay, and what a holder can recover, is covered separately too. And the five requirements listed just above belong to the authorities that revise them.
Reading a Term Sheet Structurally teaches you to read the clauses that decide who gets what, and in what order.

References

SourceRows it decidesWhere
SEBIEnding a bond early; the warning a holder gets; disclosure of money set aside; treatment of an amount above the face amount; the time a purchase takes to completesebi.gov.in
The Reserve Bank of IndiaThe route redemption money travels; the time a purchase takes to completerbi.org.in
The tax authorityTreatment of an amount above the face amount, and of anything else receivedincometaxindia.gov.in

The ten year 8.50 per cent bond and Palash Cements Limited are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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