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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
SecuritisationOriginator, Servicer and Trustee…How to map a…Mortgage-Backed SecuritiesThe TrancheAsset-Backed SecuritiesAsset-Backed Security vs Mortgage-Backed SecurityCredit EnhancementPrepaymentThe Cash Flow WaterfallExtension RiskWeighted Average Life
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…

The Cash Flow Waterfall: The Order Money Is Paid Out

A waterfall is a written queue. Money arriving from a pool over one period is paid down that queue a step at a time, and each step has to be completed before anything reaches the step under it. Absorption of losses runs on a separate list altogether. When the money runs out, everything below that point is written down at nothing.

Why does money arriving from a pool need an order written for it at all?

Picture the plainest version of the problem. A structure has bought a set of receivables. Over a period, borrowers pay what they owe, and a quantity of money lands in one account. Several parties have a claim on that money. Somebody has to be paid first.

If nobody writes the order down before the money arrives, somebody decides it on the day, and whoever decides gets to choose who suffers. A written order exists for exactly that reason. The order is written into the transaction documentsThe signed papers that bring a structure into existence and set out who is paid what, and in what sequence. An actual queue is read out of these, never out of a summary. before a rupee has been collected. A short period is then settled by a document written months earlier rather than by a judgement made under pressure.

The pieces at Sarvani Receivables Trust and the order in which a pool shortfall is absorbed are both settled already. The second order is not yet in hand, and it is a genuinely separate thing. Sizes say how much of the structure each holder put in. The loss order says who is reached first when receivables go bad. Neither one says what happens to the ordinary money that arrives in an ordinary period. The ordinary money is a third question, with its own answer written somewhere else in the same set of papers.

Here is the sentence to hold on to before the arithmetic starts. The order is the protection, not the total. A holder standing high in the queue is not protected because a large amount of money arrived. A holder high in the queue is protected because the document says their step is completed before the next one begins, and that promise does its work most on exactly the periods when the money is thin.

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What does the queue at Sarvani Receivables Trust actually say?

Sarvani Receivables Trust, a structure built for teaching, holds a pool of Rs 1,200 crore of receivables. Three pieces fund it, and their sizes are set out in the table so the arithmetic has somewhere to stand.

Which pieceWhat it put inWhere a pool shortfall reaches it
The senior pieceRs 960 crorelast of the three
The mezzanine pieceRs 180 croresecond of the three
The equity pieceRs 60 crorefirst of the three
The pool they fundRs 1,200 crore 

Absorption climbs. The path begins at the equity piece. The mezzanine piece lies next along its path. The senior piece is the last thing it can reach, and the two pieces underneath add to Rs 240 crore. Set against a pool of Rs 1,200 crore, Rs 240 crore reads as a fifth, or 20.0 per cent. The absorption order is covered separately; what follows contrasts against it.

Now the second order. Over one period, Sarvani Receivables Trust pays what it has collected down five steps, and those five scheduled amounts add to Rs 106 crore. The figure sets out what each step is due. Read the figure. The sentence under it, about where the queue came from, matters more than the amounts do.

THE DECLARED QUEUE, one period, in the order it is paid down Every amount below is scheduled. None of it is what any structure actually collected. 1. Running costs scheduled Rs 10 crore 2. Senior piece, due scheduled Rs 44 crore 3. Mezzanine, due scheduled Rs 18 crore 4. Senior, principal scheduled Rs 28 crore 5. Equity piece, due scheduled Rs 6 crore The five steps add to Rs 106 crore scheduled for the period. The bars are drawn to one scale. Steps 2 and 4 both belong to the senior piece, which is why it appears twice in this list. Declared here. This platform holds no waterfall by period for any structure.
Five steps, scheduled at Rs 10 crore, Rs 44 crore, Rs 18 crore, Rs 28 crore and Rs 6 crore, adding to Rs 106 crore for the period, with the senior piece occupying two of the five positions.

The source of these amounts matters. The five amounts are declared, not collected. The pool, the three sizes and the direction absorption runs in are fixed quantities. No record exists of what a structure collected in any period, or of what it had scheduled against that period. So the five amounts above are a declaration, the two collections worked below are declarations, and every position on the control further down is a declaration too. Declarations of this kind are chosen to make an order visible. A declaration is not evidence about anything.

The first step is not a piece. Nobody bought it, nobody put money in against it, and it carries no place at all in the loss order. The first step is what the servicer and the trustee are owed for doing the period's work, and it stands ahead of every holder in the structure. Why that position makes sense comes below; for now, the cash queue contains an entry that the loss order has no name for.

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What is the one rule that turns a list into a waterfall?

A list of five claims is not yet a waterfall. A rule about completion makes it one: a step is paid in full before the step beneath it receives anything at all. No proportional sharing at any point. No settling everybody partly. No discretion on the day.

The word is doing real work. Water poured into a stack of bowls does not distribute itself fairly. The top bowl fills completely, and only then does anything spill into the second. With a small amount poured in, the top bowl is brim full while the bottom one is bone dry. The result looks unfair until one remembers that everybody agreed the arrangement before the pouring started, and the bottom bowl was cheaper to stand in for exactly that reason.

Two consequences fall straight out of the completion rule. The first is that a shortage never spreads. A shortage concentrates. The whole of it lands on whichever step the money stopped at and on everything below. The second is that the exact place where a period ran out can always be named. A waterfall converts a vague statement about there not being enough money into a precise statement about one position in a list.

Try it out

A period's collection arrives at Rs 100 crore against Rs 106 crore scheduled across the five steps. What does the senior piece receive at the second step?

Why does a step that belongs to nobody stand ahead of every piece?

The first step is Rs 10 crore of costs, and a reader meeting it usually wants to argue with it. Why should the people running the structure be paid before the people who funded it? The arrangement looks like the wrong priority written down as a rule.

The priority is right, and the reason is worth stating plainly. Somebody has to collect from every obligorThe borrower on the other end of one receivable in the pool, whose payments the structure is waiting for. Who was lent to, and on what terms, is settled in the lending material rather than here. in the pool, chase what has not arrived, keep the records, hold the money apart from everybody else's and hand it out on the right day. If that work stops, there is no collection at all in the next period, and a queue with nothing flowing down it protects nobody. The costs of running the structure sit at the top because every step below them depends on the work they pay for.

A building with a lift makes the point. The residents on the top floor have paid the most and would be first in most queues. The lift is what makes the top floor reachable at all, so the electricity bill for it gets paid before any of them are served. The bill is small. The bill is also the only item whose non-payment stops everything else.

There is a second reason, and it is about incentives rather than mechanics. Placing the running costs at the top means the servicer and the trustee are paid the same amount whether the period was good or thin. The servicer and the trustee therefore have no interest in the outcome for any particular holder, and indifference is exactly what is wanted from somebody whose job is to apply a written order rather than to take a view on it. Whether a real structure has to be arranged that way, the servicer’s own list of obligations, and where money already collected goes if that role changes hands, are all set by the Reserve Bank of India at rbi.org.in, where the current wording is maintained.

Try it out

Absorption of a pool shortfall begins at the equity piece and climbs towards the senior piece. Predict what stands at the very top of the cash queue.

Are the cash queue and the loss order two readings of one list?

The two orders are not two readings of one list. Careful readers most often go wrong here, and the mistake is a reasonable one. A list of three pieces already carries an order. A second order turns up. The natural move is to assume the new one must be the old one turned round.

The loss order turned round gives: senior piece, then mezzanine piece, then equity piece. Set against the actual queue, the direction is right. The contents are wrong in two separate ways.

TWO ORDERS, WRITTEN SEPARATELY, RUNNING IN OPPOSITE DIRECTIONS CASH DESCENDS THROUGH FIVE STEPS A SHORTFALL CLIMBS THROUGH THREE 1 Costs of running the structure 2 Senior piece, amount due 3 Mezzanine piece, amount due 4 Senior piece, principal 5 Equity piece, amount due Last: the senior piece Second: the mezzanine piece First: the equity piece The left list has five entries and the right list has three. They are not the same list reversed. Step 1 on the left belongs to no piece, so the right list has no name for it anywhere. The senior piece takes two of the five positions on the left and one of the three on the right. Both orders are as this material declares them. Neither was observed in any structure.
A collection starts at the costs of running the structure and works downwards, while a shortfall in the pool starts at the equity piece and works upwards, so the two orders reach the same three pieces in opposite sequences and over different numbers of steps.

The first difference is the one already noted: the cash queue begins with an entry that is not a piece. The loss order has three names in it and cannot accommodate a fourth party who absorbs nothing and is paid first.

The second difference is sharper, and it is the fact a three-name diagram is incapable of holding: the senior piece stands in the cash queue twice, at the second step and again at the fourth. Rs 44 crore reaches it at the second step as the amount due. Rs 28 crore reaches it at the fourth as principal returned, and that repayment reduces the amount still owed. Add those and Rs 72 crore of the Rs 106 crore scheduled for the period is going to one piece across two separate positions.

ONE PIECE, TWO POSITIONS IN ONE LIST AND ONE POSITION IN THE OTHER THE CASH QUEUE, FIVE POSITIONS 1 costs Rs 10 crore 2 senior Rs 44 crore 3 mezzanine Rs 18 crore 4 senior Rs 28 crore 5 equity Rs 6 crore THE LOSS ORDER, THREE POSITIONS the equity piece absorbs first the mezzanine piece absorbs second the senior piece absorbs last Both dashed leaders end at one box, because two payment positions map onto a single place to absorb. Rs 44 crore and Rs 28 crore reach the same piece, which takes Rs 72 crore of the Rs 106 crore in all.
The senior piece occupies the second and fourth positions of the five in the cash queue while holding a single position in the loss order, so a reader deriving one list from the other loses a step.

Why would a document ever pay one piece at two separate places? Because the two payments are different kinds of thing. One is what is due for the period. The other is a return of what was originally put in, and it shrinks the amount still owed. A holder receiving both wants them recorded separately, and a document that merges them into a single line has thrown away the distinction between being paid for waiting and being repaid.

The general lesson sits here. A queue for money and an order for losses are separate documents about separate events, so neither can be reconstructed from the other, and the number of entries in one need not match the number in the other. A reader who works out the cash queue by reversing the loss order gets the direction right and the contents wrong. A near miss of that kind is the most expensive sort: it survives a sanity check.

Try it out

Count the positions. How many times does the senior piece stand in the cash queue, and how many times in the loss order?

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Where exactly does a short collection stop?

Now the arithmetic, and it is arithmetic that fits on the back of a receipt. A collection of Rs 100 crore is declared for the period, against Rs 106 crore scheduled. The period is Rs 6 crore short, and the whole question is what that Rs 6 crore does.

Work down. Rs 10 crore of costs leaves Rs 90 crore. Rs 44 crore to the senior piece leaves Rs 46 crore. Rs 18 crore to the mezzanine piece leaves Rs 28 crore. The fourth step wants Rs 28 crore of principal for the senior piece and there is exactly Rs 28 crore there, so it is completed and nothing at all remains. The fifth step is reached with an empty account, and the equity piece is written down at Rs 0/- for the period.

A DECLARED COLLECTION OF Rs 100 CRORE, WALKED DOWN THE QUEUE Rs 100 crore Rs 90 crore Rs 46 crore Rs 28 crore Rs 0 crore Rs 0 crore it arrives after step 1 after step 2 after step 3 after step 4 after step 5 collection paid Rs 10 crore paid Rs 44 crore paid Rs 18 crore paid Rs 28 crore paid Rs 0/- Each bar is what is LEFT after the step named beneath it has been paid, not what that step got. The last two bars are drawn at nothing inside their tracks, which is what an emptied queue looks like. A DECLARED collection. This material records no collection for any period for any structure.
The balance falls from Rs 100 crore to Rs 90 crore, Rs 46 crore, Rs 28 crore and then to nothing, so the money runs out at the exact moment the fourth step is completed and the fifth step receives Rs 0/-.

Read the last two bars carefully. The lesson sits in them. The queue did not thin out gradually. The money ran at full strength through four steps and then stopped dead. A shortage of Rs 6 crore in a Rs 106 crore period did not cost five parties a little each; it cost one party everything it was scheduled to receive and cost the other four nothing whatsoever.

A coincidence sits in the middle of that walk. After the third step, the balance left reads Rs 28 crore, and Rs 28 crore is also what the fourth step is scheduled to receive. The balance and the schedule are two different quantities that happen to print the same digits. One is a running balance and one is a promise. The collision is not a defect in the example. A running balance is built by subtracting the scheduled amounts, so it passes through them as a matter of arithmetic. The collision is the reason every figure above says whether it is scheduled, paid or left.

Try it out

Same Rs 100 crore collection. What does the equity piece receive for the period, and how much of the pool has been lost?

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At what collection does each step fill?

The walk above answers one collection. The amount needed to complete any step is simply the sum of that step and everything above it, so pushing a little further makes the queue answer all of them at once.

Adding along the queue gives five landmarks. The first step is complete once Rs 10 crore has arrived. The second is complete at Rs 54 crore. The third at Rs 72 crore. The fourth at Rs 100 crore. The worked run above therefore landed exactly on a boundary. The fifth and last is complete at Rs 106 crore, and every rupee beyond that is over.

Something quietly elegant falls out of those five numbers. The stretch of collection over which any step is only partly filled is exactly as wide as that step is scheduled to receive. The second step is partly filled anywhere between Rs 10 crore and Rs 54 crore, a stretch of Rs 44 crore, and Rs 44 crore is what the second step is scheduled to get. The last step is partly filled only between Rs 100 crore and Rs 106 crore, a stretch of Rs 6 crore wide. The match holds for every step in every queue of this kind, and it can be checked above on five rows.

WHERE EACH STEP IS COMPLETED, READ ALONG A COLLECTION RULER Rs 54 crore Rs 100 crore Rs 10 crore Rs 72 crore Rs 106 crore step 1 filling step 3 filling step 5 filling step 2 filling step 4 filling left over The six DECLARED collections offered by the control further down, in Rs crore: 80 90 100 110 120 130 Each band is as wide as the step it fills: Rs 10, 44, 18, 28 and 6 crore, left to right. No position on the control lands inside the fifth band, because that band is only Rs 6 crore wide.
Reading along the ruler, one step is completed at each marked landmark, and the band across which any single step stands only partly filled measures exactly what that step is scheduled to receive.

The last band is worth staring at. The band runs from Rs 100 crore to Rs 106 crore and is Rs 6 crore wide, the narrowest window in the queue by a distance. The calculator below moves in Rs 10 crore steps, so it skips straight over that band and never once shows the equity piece being partly paid. The miss is not a gap in the control. The arithmetic of the queue is showing through: the last step is the smallest, so the window in which it is partly filled is the narrowest, and a coarse instrument will always miss the narrowest window first.

Try it out

A period collects Rs 60 crore. Without working every subtraction, which step is the money sitting in when it runs out?

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What does the same queue do with a longer collection?

Change one thing and nothing else. The five scheduled amounts stay where they are. The order stays where it is. The pool is the same pool. Only the collection moves, and this time it is declared at Rs 130 crore.

Rs 10 crore of costs leaves Rs 120 crore. Rs 44 crore to the senior piece leaves Rs 76 crore. Rs 18 crore to the mezzanine piece leaves Rs 58 crore. Rs 28 crore of principal to the senior piece leaves Rs 30 crore. The equity piece takes its Rs 6 crore, and Rs 24 crore is still sitting there. Now the interesting part: every scheduled step has been completed and there is still money in the account.

A DECLARED COLLECTION OF Rs 130 CRORE, THE SAME FIVE STEPS Rs 130 crore Rs 120 crore Rs 76 crore Rs 58 crore Rs 30 crore Rs 24 crore it arrives after step 1 after step 2 after step 3 after step 4 after step 5 collection paid Rs 10 crore paid Rs 44 crore paid Rs 18 crore paid Rs 28 crore paid Rs 6 crore The last bar is what is LEFT once every scheduled step has been completed, not a sixth payment. Both this collection and the shorter one are DECLARED and observed nowhere.
Rs 130 crore fills all five steps and leaves Rs 24 crore standing in the account, which is a subtraction at the end of a period rather than a promise made at the start of one.

The Rs 24 crore left standing is the residual: it is what a period leaves once every scheduled step has been completed, and by declaration it goes to the equity piece. Notice how it was produced. Nobody promised it. Nobody calculated it in advance. The residual is a leftover, arrived at by subtraction, and it exists only because the collection happened to exceed what the period had scheduled.

The sequence has been walking towards this spot. Credit enhancement, covered separately, names excess spreadThe cushion that exists when a pool brings in more over a period than the structure has promised to pay out of it. It is treated as a form of protection under credit enhancement; what appears here is only the place in the queue where such a surplus would surface. as a form of protection without working it through. Where a surplus shows itself is here: the bottom of the queue, after every scheduled step. And the limit has to be stated in the same breath. One declared period is not a spread. A spread is a pattern across many periods, and one declared period cannot show a pattern. The Rs 24 crore illustrates where a surplus lands; it is never evidence that one does.

Try it out

A collection of Rs 130 crore arrives against Rs 106 crore scheduled. Work the queue down and name the residual.

Rebalancing: When, Why and What It Costs teaches you to choose a rebalancing rule and say what it buys and what it costs.

What is the equity piece, once both runs are read together?

Put the two runs side by side and the character of the last piece in the queue writes itself. On the Rs 100 crore collection the equity piece received Rs 0/-. On the Rs 130 crore collection it took its scheduled Rs 6 crore, then the residual behind that, for Rs 30 crore over the period.

Now cross that with the other order. In the loss order the equity piece is reached first. In the cash queue it stands last. The same piece is at the front of one queue and at the back of the other. The whole of its character sits in that one fact: it feels a shortage in the pool before anybody else and it feels a surplus after everybody else.

ONE PIECE STANDING AT BOTH ENDS OF TWO DIFFERENT QUEUES a period’s collection comes down and reaches it last of all THE EQUITY PIECE Rs 60 crore put in a shortfall in the pool comes up and reaches it first of all on the Rs 100 crore run Rs 0/- on the Rs 130 crore run Rs 30 crore Rs 30 crore is the Rs 6 crore scheduled at the fifth step plus the Rs 24 crore residual behind it. Neither run is described here as usual, likely or expected. No odds attach to either.
The equity piece received Rs 0/- on the Rs 100 crore collection and Rs 30 crore on the Rs 130 crore collection, and it stands first in the absorption order while standing last in the payment order.

Which of those two runs is the ordinary one cannot be settled here. Deciding that would need a record of what pools of this kind collect period after period, and no such record sits behind these notes. Both runs are drawn, both are labelled as declared, and which of them turns up more often stays open.

Is receiving nothing the same as absorbing a loss?

The distinction between the two is the one a reader is most likely to walk past.

On the Rs 100 crore collection the equity piece received Rs 0/-. Read that sentence and check what it actually says. The sentence says the period arrived Rs 6 crore short of what the queue had scheduled, and the money stopped before the last step. The sentence does not say that a single receivable in the pool was written offGiven up on in a structure’s own records, so the amount stops being counted as money still expected. It is a decision recorded about a receivable rather than a shortage of cash in one period.. Nothing at all ran up the loss order. The pool is exactly as large as it was.

Being paid nothing in a period is a cash event; absorbing a loss is a pool event; and the two arrive by different mechanisms even though they can look identical from where the holder sits. A holder who checks the account on the distribution day sees the same thing in both cases. The distinction therefore has to be made in the document rather than in the bank statement.

The fate of that Rs 6 crore is a genuinely open question. The shortfall might be caught up out of a later collection. The shortfall might simply never arrive. Only the documents of an actual structure settle which of the two happens, and a single declared period holds no second period to settle it against. Separately, the line at which a note is called defaulted for reporting, and whose call that is, belongs to the Securities and Exchange Board of India (SEBI) at sebi.gov.in. The Board revises that line, and no copy of it is written out above.

A receivable that has fallen into arrearsPayments that were due on a date and have not turned up. A receivable in arrears has fallen behind its dates; it has not necessarily stopped for good. is a third thing again, sitting between the two. A receivable in arrears has not been given up on, and it is not paying. The treatment that applies to it is set by the Reserve Bank of India at rbi.org.in.

Try it out

A holder of the equity piece received nothing at all this period. Which pair of situations both produce that sentence?

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The same rule, running in a household on the first of the month

A salary of Rs 60,000/- lands on the first. Taped inside a cupboard door there is a list nobody in the house argues about: rent Rs 22,000/-, the school fee Rs 12,000/-, the loan instalment Rs 15,000/-, the month’s groceries Rs 9,000/-, and whatever survives all four goes into a box on the shelf. The four written items add to Rs 58,000/-, so in an ordinary month Rs 2,000/- reaches the box.

Now a month arrives where only Rs 50,000/- comes in. Nobody in that house pays five sixths of the rent and five sixths of the school fee. The rent is paid in full. The fee is paid in full. The instalment is paid in full. Rs 1,000/- is left when the groceries are reached, Rs 8,000/- less than the list asked for, and the box on the shelf gets nothing at all.

A MONTH OF Rs 50,000/- AGAINST A LIST ASKING Rs 58,000/- Light outline is what the list asks for. Solid fill is what was actually handed over. rent scheduled Rs 22,000/- paid Rs 22,000/- the school fee scheduled Rs 12,000/- paid Rs 12,000/- the loan instalment scheduled Rs 15,000/- paid Rs 15,000/- the groceries scheduled Rs 9,000/- paid Rs 1,000/- the box on the shelf whatever survives paid Rs 0/- Three items are paid in full and the fourth takes the whole of the Rs 8,000/- shortage. In an ordinary Rs 60,000/- month the box receives Rs 2,000/-, which is the household residual. An invented household, written to carry the rule without any of the vocabulary.
Rent, fee and instalment are paid in full while the groceries take the entire Rs 8,000/- shortage and the box on the shelf receives nothing, which is the completion rule working without a single technical term.

Nobody in that house thinks the box is being punished. The box is standing last, and standing last is what makes it the place where a thin month is felt. The equity piece stands in exactly the same position, and it is not being penalised for anything either. The equity piece agreed to stand at the end of the list, and the end of the list is where a short period lands.

The error that gets made, and what it costs

Here is the reading almost everybody produces on first contact, and it is worth taking seriously because it is not a careless one. The collection is Rs 100 crore against Rs 106 crore scheduled. The instinct says: everybody is a claimant, the money is short by Rs 6 crore, so everybody gets a bit less than they were promised.

There are two natural ways to do that, and the second is subtler than the first. Taking Rs 1.20 crore off each of the five steps shares the shortage equally. Scaling every step by Rs 100 crore over Rs 106 crore shares it in proportion. Both readings are internally consistent. Both produce five wrong numbers that add to exactly the right total. The error therefore survives the one check a careful reader thinks to run.

ONE Rs 100 CRORE COLLECTION, CARVED UP THREE WAYS 1 costs 2 senior 3 mezzanine 4 senior 5 equity AS WRITTEN in the queue Rs 100 crore MISREAD ONE equal shares Rs 100 crore MISREAD TWO in proportion Rs 100 crore the fifth band is missing here, and only here All three bars are exactly the same length, because all three hand out the same Rs 100 crore. Only the top bar completes each step before starting the next, and it is the one the papers say. The two lower bars are drawn so the mistake can be seen, not because anybody pays that way.
All three readings distribute the same Rs 100 crore and all three add to the same total, so a check on the total cannot separate the reading that is correct from the two that are not.
StepAs writtenMisread one, equal sharesMisread two, in proportion
1. Running costsRs 10 croreRs 8.80 croreRs 9.43 crore
2. Senior piece, dueRs 44 croreRs 42.80 croreRs 41.51 crore
3. Mezzanine, dueRs 18 croreRs 16.80 croreRs 16.98 crore
4. Senior, principalRs 28 croreRs 26.80 croreRs 26.42 crore
5. Equity piece, dueRs 0/-Rs 4.80 croreRs 5.66 crore
Handed out in allRs 100 croreRs 100.00 croreRs 100.00 crore

Who makes it: a reader who has taken in that the money is short and has not yet taken in that the order is what decides who feels it. Dividing a shortage among all claimants is the instinct anybody brings from every other place money gets shared out, and it is exactly the instinct a written queue exists to overrule.

What it costs: under the equal-share reading the senior piece appears to collect Rs 69.60 crore across its two steps instead of Rs 72 crore, so Rs 2.40 crore of a shortage seems to land on it. Under the proportional reading it appears to collect Rs 67.93 crore, so the apparent hit grows to Rs 4.07 crore. In the queue as written it gives up nothing at all. In the other direction the equity piece looks protected, collecting Rs 4.80 crore or Rs 5.66 crore when the document gives it Rs 0/-. A reader has quietly swapped a queue for a division, and the two have opposite answers on the only question that matters.

The repair, in one line: complete each step in full going down the list until the money is gone, then write Rs 0/- against everything after that.

A salary lands and a list decides the order. See what the waterfall settles.

How does somebody actually read this queue on a working day?

Somebody thinking about standing in the mezzanine position does not start by asking what the position might be worth. Such a holder starts by asking what is in front and what is behind. A queue answers that directly and answers almost nothing else directly.

In front of the mezzanine step sit two entries: Rs 10 crore of costs and Rs 44 crore due to the senior piece, adding to Rs 54 crore. So a collection has to reach Rs 54 crore before the mezzanine step sees a single rupee, and it has to reach Rs 72 crore before that step is completed. Behind it sit Rs 28 crore of senior principal and Rs 6 crore due to the equity piece, adding to Rs 34 crore. The Rs 34 crore is the cushion of scheduled payments standing between this holder and the very bottom of the queue.

The three figures are what the queue gives up, and they are all it gives up. The reading names a position in a list and what has to arrive before that step is reached. The queue does not say whether Rs 72 crore usually arrives. The queue cannot say how often a period falls short, or by how much when it does, and it certainly does not say whether standing there is a sensible thing to do. A person who reads Rs 54 crore and concludes that the position is safe has read the arithmetic correctly and then added a claim the arithmetic does not contain.

The same reading works from the other side. A servicer preparing for a distribution dateThe day in a period on which a structure hands money out to those standing in its queue, as against the days on which it is collecting money in. does not decide anything; they apply the list. The trustee’s job is to check that the list was applied as written rather than as convenient. And a holder wanting to know what was actually done in a period is relying on a disclosureSomething a structure is required to tell the people holding its notes. What must be told, and how often, is decided by an authority rather than by whoever built the structure. rather than on arithmetic. The collection is a fact about the world, and nobody can derive it.

Play with it

Pour a collection into the queue and watch where it stops

One control, and one only: the money the structure receives for the period. The five scheduled amounts do not move. The order does not move. The pool behind it is untouched. All that changes is how far down the list the money reaches.

SARVANI RECEIVABLES TRUST, INVENTED. ONE DECLARED PERIOD. Educational illustration. Every collection on this control is declared. THE STEP AND WHAT IS SCHEDULED HOW FULL IT IS PAID, THEN LEFT 1 costs of running it scheduled Rs 10 crore paid Rs 10 crore left Rs 90 crore 2 senior piece, amount due scheduled Rs 44 crore paid Rs 44 crore left Rs 46 crore 3 mezzanine piece, amount due scheduled Rs 18 crore paid Rs 18 crore left Rs 28 crore 4 senior piece, principal scheduled Rs 28 crore paid Rs 28 crore left Rs 0 crore 5 equity piece, amount due scheduled Rs 6 crore paid Rs 0/- left Rs 0 crore The five landmarks below never move. Only the marker above them does. landmarks, Rs crore 10 72 106 54 100
Rs 80 croreRs 100 crore collectedRs 130 crore
Where it runs out
step 5 of 5
To the equity piece
Rs 0/-
Left over at the end
Rs 0/-
A DECLARED collection of Rs 100 crore empties at the very moment the fourth step is filled, so the fifth step is reached with nothing behind it. The equity piece is written down at Rs 0/- for the period.
The default position is the first worked run above, and it reproduces it exactly: Rs 10 crore, Rs 44 crore, Rs 18 crore and Rs 28 crore paid in full, Rs 0/- to the equity piece, and Rs 90 crore, Rs 46 crore, Rs 28 crore, Rs 0 crore and Rs 0 crore left after each step in turn. The queue asks for Rs 106 crore in all, and that period arrives Rs 6 crore short. A running balance passes through the same amounts as the scheduled steps, so every figure above says whether it is scheduled, paid or left: at Rs 90 crore collected, Rs 18 crore is left after the third step and Rs 18 crore is also what the third step was scheduled to receive. The queue, the five amounts and all six collections are declared: no waterfall by period for any structure stands behind them. No rate is stated on any tranche, so no figure above is a return on anything. One period is shown, and the control says nothing about how often a collection of any size arrives, nor whether a step reached short is caught up later.

What can one period not settle?

What the queue delivers is a smaller thing than it feels like, and knowing its edges is most of the value.

The order is in hand, and exactly where a collection of any size stops in it can be stated. That is a real capability, and it is the whole of what a written queue delivers. What a queue settles is where the money stops; how often it stops early, and how far short it falls when it does, are questions a queue cannot reach.

Answering those would take a run of periods with a collection recorded against each, and then some honest arithmetic on the run. What sits here is one declared period, worked twice at two declared collections, with six more offered on a control. Six declarations are not a sample of anything. Six illustrations chosen to make an order visible say what the order is, and say nothing about how often a pool behaves one way or another.

So there is no frequency attached to any step of this queue. No holder is told their position is a comfortable one. Sizes and an order are fixed and nothing else: no distribution of losses, no assumption about how the receivables in the pool move together, no schedule of periods. The absence has consequences that can be checked line by line. No step in the queue above carries odds. No grade is attached to the senior, mezzanine or equity position. The word safe attaches to nobody in the list. An empty space where a probability would sit is worth more to a reader than a confident figure with no measurement underneath it.

Try it out

Two periods of this queue have been worked and a control has moved across six more. What can be said about how often the equity piece receives nothing?

India

What is settled elsewhere, and who keeps the wording

Seven things named here are settled by an authority rather than by the arithmetic above. Each is revised on a timetable these notes cannot follow, so a copy made here would quietly go out of date without ever looking wrong.

SEBI, at sebi.gov.in, keeps the wording on four of them. Which parts of a payment order have to reach a note holder, and by when, is one. How far a trustee’s obligations run once it is acting for those holders is a second. A third covers the reporting a pool attracts once it has been issued: which figures, over whose signature, at what interval. The fourth arises when a pool starts behaving unlike the description it was sold on, and requires the departure to be told.

The Reserve Bank of India, at rbi.org.in, keeps two more. One is the servicer’s own list of obligations, together with the fate of money already collected should that role change hands part way through. The other is how a receivable in the pool gets treated after its payments dry up.

The seventh is a definition rather than a duty, and it belongs to SEBI as well: the line at which a note is called defaulted for reporting, and whose call that is. The definition matters more than the other six. A block above turns on the difference between a step reached short and a receivable given up on, and only somebody else’s definition settles which name applies.

Each is best read at its own address. None of the arithmetic above rests on any of the seven.

The order in which a pool shortfall is absorbed is covered separately, under tranching. Who the servicer and the trustee are, and what each does, is covered separately as well. The forms of credit enhancement are covered separately, as is what happens when the pool repays faster or slower than expected. No rate appears on any piece anywhere here, so nothing above can be turned into a price for standing anywhere in the queue. One declared period is worked, and no claim is made about a run of them.

References

The seven items named above carry somebody else’s wording. Four keepers hold it, and the last row is the route to a named academic idea. The address itself is more reliable than any paraphrase of it.

Kept byThe kind of document it publishesAddress
Securities and Exchange Board of IndiaRegulations and circulars binding a securitisation note, the people acting for its holders, and the reporting that follows an issuesebi.gov.in
Reserve Bank of IndiaDirections binding the transfer of a set of loan exposures and the running of a pool afterwardsrbi.org.in
Institute of Chartered Accountants of IndiaAccounting standards deciding whether a transfer takes the receivables off the originator’s own booksicai.org
Insolvency and Bankruptcy Board of IndiaThe process that would decide how the receivables rank if the originator itself failedibbi.gov.in
Research repositoryWhere a named academic work is looked up before its name is usedideas.repec.org

Sarvani Receivables Trust and the household on the first of the month are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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