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Funds, AMCs & Collective Investments
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SIP, STP and SWP: What Each Instruction Actually Does

Each of the three is a standing order to the register, not a new kind of transaction. One buys units on a schedule, one moves money between two schemes on a schedule, one cancels units and pays out on a schedule. The three share one property: the rupee amount is set and the unit count is whatever the division returns.

Three sets of initials do an enormous amount of work in this subject, and they hide how little actually separates them. A systematic instructionA single registration that tells the record keeper to carry out the same transaction again and again on a stated schedule. is one transaction, written down once, and then carried out again on a schedule until somebody stops it. The transaction being carried out is one already settled earlier in this sequence: a subscription, a switch or a redemption. No repeating instruction introduces a new species of transaction, because a schedule fastened to an old transaction is still the old transaction.

One scheme carries the arithmetic from here to the last line. Girnar Asset Management Limited runs the Girnar Large Cap Equity Fund, an open ended equity scheme holding net assets of Rs 4,200 crore against 120.00 crore units in issue. Divide the first figure by the second and a single unit comes to Rs 35.00 exactly. That is the only value per unit fixed anywhere for the scheme. Kalyani Bhagat manages the portfolio and Sohail Merchant heads operations. The custodian, the auditor, the distributor, the registrar and transfer agent and the trustee company are named by the work each does rather than by a name of their own.

One fact has to be settled before a single division is worked, and every division below leans on it. The Girnar Large Cap Equity Fund has that one struck value per unit and no series at all: there is no second day behind it, no third, no month by month history. So every other value per unit below, Rs 32.00 and Rs 38.00 and later Rs 25.00 and Rs 45.00, is an assumed valueA figure used only so a division can be watched happening. An assumed value is fixed by no record and describes nothing that occurred.. Nobody knows what value per unit a future occasion will meet, and an assumed figure does not become a prediction by being written down.

Three things were settled earlier in this sequence and none of them is rebuilt here. How money becomes units was settled at the start of this sequence. What travels between an order and an allotment, and which struck value an application is considered against, was settled under pricing. The switch, with its two legs and the load falling on the leg being left, was settled immediately before this one. All three are taken as given, and one job is left: to stand three repeating instructions next to each other and ask what each one is telling the record keeper to do.

What is a systematic instruction, and what is it not?

A systematic instruction is one transaction, repeated, and that really is the whole of the definition. The instruction is a repeating order sitting with the registrar and transfer agent, and it reads roughly like this: on this schedule, for this amount, in this scheme, do this transaction, until the holder says otherwise. On any single occasion the registrar does precisely what it would do with a one off order of the same kind. The schedule is the only thing the instruction adds, and a schedule is not a transaction.

A household tells the vegetable seller at the end of the lane: every Sunday, a hundred rupees of tomatoes, whatever tomatoes happen to cost that week. The household has not bought a new product and has not entered a scheme of any kind. The household has bought tomatoes, fifty two times, in the ordinary way. Some Sundays it walks home with a heavier bag and some Sundays with a lighter one, and the hundred rupees never moves. The bag getting heavier and lighter is the whole of the arithmetic that comes later.

So what is a systematic instruction not? A systematic instruction is not a scheme, and it is not a product. The scheme sees only the transactions the instruction produces and cannot tell them apart from any other transaction of the same shape, so there is no line on the Girnar Large Cap Equity Fund's books where an instruction sits. The instruction does not change what the scheme holds. Nor is it a separate registration with any authority. And it is emphatically not a fourth kind of transaction standing beside a subscription, a switch and a redemption. Count the new transaction types that all three instructions introduce between them and the count is exactly zero.

The three transactions a repeating instruction can carry, and the fourth that does not exist. Each filled box is a transaction already settled earlier in this sequence and used here rather than rebuilt. A subscription Money arrives, units are created, the folio grows. One scheme touched. A switch Units cancelled in one, created in another. Two schemes touched. A redemption Units cancelled, money leaves for the holder. One scheme touched. THE FOURTH BOX IS EMPTY BECAUSE THE COUNT IS ZERO, NOT BECAUSE IT IS UNKNOWN OR WITHHELD. A systematic instruction adds no new kind of transaction. It repeats one of the three drawn above, on a schedule, under one registration. WHICH SCHEDULES ARE PERMITTED, AND THE SMALLEST AMOUNT ONE OCCASION MAY CARRY, ARE SEBI MATTERS. Permitted schedules and minimum amounts are revised from time to time, and a reference that prints one does not merely go stale, it goes wrong. Read the current position at sebi.gov.in on the day the answer matters.
All three repeating instructions sit on transactions settled earlier, and the count of new transaction types they introduce between them is exactly zero, which is why the fourth outline is drawn empty.

What does one instalment of a systematic investment plan actually do?

A systematic investment planA set rupee amount put into one scheme again and again on a stated schedule, each occasion being an ordinary purchase of units. is a fixed rupee amount subscribed to one scheme on a schedule, and every occasion is a full subscription in its own right. Each instalment carries an application of its own. Money for it arrives at the scheme separately. Each instalment attaches to a value per unit on its own footing, under precisely the attachment rule settled under pricing and set by the Securities and Exchange Board of India (SEBI). An instruction registered once does not produce one large transaction; it produces a queue of ordinary ones, each of which is treated exactly as though nobody had ever registered anything.

One registration and many transactions are easy to run together, so the difference is worth slowing down on. The registration is a single event. The transactions are not. Twelve occasions are twelve separate subscriptions that happen to share a registration, and if the registrar and transfer agent had to narrate them it would have twelve stories to tell rather than one. Girnar Asset Management Limited does not hold a pooled instalment account somewhere; there is no waiting room. Each occasion lands, divides and is written into the folio, and then the next one starts from scratch.

How that registration is created, what authority it carries over a bank account, what the record keeper does on an occasion that does not go through, and how the whole arrangement is paused or brought to an end are covered separately in this sequence. The three instructions differ in what they tell the record keeper to do, not in how the telling is arranged.

Take one occasion and work it. An instalmentOne occasion of a repeating instruction, divided and recorded entirely on its own without reference to any occasion before or after it. of Rs 10,000/- meets the Girnar Large Cap Equity Fund at a value per unit of Rs 35.00. Divide: 10,000 over 35.00 comes to 285.714285 with the digits repeating without ever ending, and the record carries three decimals, so 285.714 units are written in. The division is the whole event. The holder decided the rupees and arithmetic decided the units, and that ordering is the property this entire guide is built on.

One registration on the left. Separate transactions on the right, each priced on its own. Read this left to right as order of events only. The horizontal gaps are set unevenly and mean nothing. Registered once A single event. Everything to the right of it happens separately and is divided entirely on its own. Occasion one A separate application. A separate arrival of money. A separate attachment. Occasion two A separate application. A separate arrival of money. A separate attachment. Occasion three A separate application. A separate arrival of money. A separate attachment. ORDER ONLY, NOT DURATION. THE GAPS BETWEEN THESE THREE MARKS ARE UNEVEN ON PURPOSE. No length of time may be read off this drawing. How often occasions may fall, and whether any particular schedule is offered at all, is a SEBI matter. THE REGISTRATION HAPPENS ONCE. THE TRANSACTIONS DO NOT. Setting the registration up, authorising it, pausing it and ending it are walked in a separate piece in this sequence and are described separately. What is drawn here is only the shape: one registration on the left, many separate transactions on the right.
A repeating instruction is registered on a single occasion while the transactions it produces stay separate, each divided on its own, which is why the marks are spaced unevenly and carry no duration.
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How is a systematic transfer plan different from one switch?

Only by the schedule, and that is the honest answer. A systematic transfer planA set rupee amount taken out of one scheme and put into another, again and again on a stated schedule. is a fixed rupee amount moved out of one scheme and into another on a schedule, and each occasion is the switch that was worked out end to end earlier in this sequence. Two legs. Units cancelled in the scheme being left, units created in the scheme being entered, both under one instruction. Any load that falls on the leg being left, falls. The arithmetic of a transfer instruction is exactly the arithmetic of the switch, and the switch is covered separately.

The schedule adds one thing, and it is worth naming precisely. Run in the Girnar range, an instruction might move a fixed amount out of the Girnar Large Cap Equity Fund and into the Girnar Broad Market Index Fund on each occasion, or the other way round. Girnar Asset Management is not doing anything new on any single occasion; it is doing the switch it would have done anyway, on a repeat. The one structural fact that separates this instruction from the other two is that it reaches two schemes at once.

Everything else about the transfer instruction follows from reaching two schemes. Because two schemes are touched, two sets of conditions can be in play on the same occasion: the conditions attaching to the leg being left and the conditions attaching to the leg being entered. Because a leg is being left, a load can fall on it. Neither of the other two instructions can produce a load on the way in. Among the three, only the transfer instruction can have two separate sets of conditions bearing on one occasion, and only it has a leg for a load to land on.

One more consequence belongs here, and readers rarely have it pointed out to them. The leg being left is a redemption. Units are genuinely cancelled, and the fact that the money never reaches a bank account does not change what happened to those units. Whatever follows from a cancellation in tax terms therefore follows here too, on every occasion, and it is settled in tax law rather than by SEBI. Rates, thresholds and holding periods all move. Read the current position at incometaxindia.gov.in, and read the transaction conditions themselves at sebi.gov.in.

One question separates the transfer instruction from the other two. How many schemes does this instruction reach? Everything structural about the three follows from the answer. ONE TWO Reaches one scheme The systematic investment plan and the systematic withdrawal plan each touch a single scheme, so each occasion carries one leg and one set of conditions to attach on. The investment plan has no leg being left, so nothing can fall on one. Reaches two schemes Only the systematic transfer plan reaches two. Every occasion carries two legs, so two separate sets of conditions can bear on it at once, and any load tied to the leg being left lands there, occasion by occasion. BOTH BRANCHES ARE FOLLOWED TO AN OUTCOME. NO INSTRUCTION SITS OUTSIDE THIS FORK. Which conditions attach on either branch, and what any of them requires, is set by SEBI and read at sebi.gov.in. The leg being left is a cancellation of units, so what follows from it in tax terms is settled in tax law and read at incometaxindia.gov.in. Neither is stated here.
Counting the schemes an instruction reaches separates the transfer instruction from the other two, and every structural difference between them falls out of that one count.
Try it out

On a single occasion, which of the three repeating instructions can have two separate sets of conditions bearing on it?

A systematic withdrawal plan pays out rupees, but out of what?

From units being cancelled, and from nowhere else at all. A systematic withdrawal planA set rupee amount taken out of one scheme on a stated schedule, raised each time by cancelling enough units to cover it. is a fixed rupee amount taken out of one scheme on a schedule, and on each occasion the registrar and transfer agent works out how many units it takes to raise that amount at that occasion's value per unit, cancels exactly that many, and sends the money out. The rupees a holder receives are the proceeds of their own holding being reduced, not a payment out of anything the Girnar Large Cap Equity Fund earned.

The idea that a payout is a holding being reduced is the one holders most need and least often get, so here it is from ordinary life. A household with a store room of grain that takes out one sack every month is not being paid anything by anybody. The store room is smaller in December than it was in January, and if the household describes those sacks as income at the dinner table, nothing about the store room changes to match. A withdrawal instruction is that store room. A withdrawal instruction is a repeated sale of a holding, dressed in the regularity of a salary, and the regularity is the only thing about it that resembles one.

Work it on the holding created at the start of this sequence. The holding is 2,857.143 units of the Girnar Large Cap Equity Fund, from Rs 1,00,000/- divided by Rs 35.00. A fixed withdrawal of Rs 20,000/- meeting a value per unit of Rs 35.00 needs 20,000 over 35.00. The division comes to 571.428571 with the digits repeating, and the record carries three decimals, so 571.429 units are cancelled. Take that from 2,857.143 and 2,285.714 units remain. Girnar Asset Management pays out Rs 20,000/-, and the holding is smaller by exactly the units it took to raise it.

One small thing in that division gets quietly rounded away in most accounts. Name it rather than smooth it over. Cancelling 571.429 units rather than 571.428571 cancels three ten thousandths of a unit more than the arithmetic strictly asks for, and at Rs 35.00 a unit that excess is worth exactly one and a half paise. The excess is a rounding residue. It went against the holder on this occasion, and it will not always go the same way. An account that reports only the clean figures leaves the untidy ones out of sight.

And because units are genuinely cancelled here too, the same note as on the transfer instruction applies. A withdrawal instruction produces a redemption on every occasion. Tax law settles what follows from a cancellation, and tax law moves. Rates, thresholds and holding periods are at incometaxindia.gov.in, and the transaction conditions themselves at sebi.gov.in.

Try it out

A holder runs a systematic withdrawal plan on the Girnar Large Cap Equity Fund and Rs 20,000/- reaches the bank account. Where did those rupees come from?

What is the one thing all three instructions share?

Every one of them pins down the rupees and leaves the unit count to a division. Fixing the rupees and leaving the units to a division is the one property that generates every difference below. The holder names an amount of money. The value per unit on the occasion is named by the scheme's own books. The unit count is then not named by anybody: it is whatever the division returns, carried to the decimals the record keeps. In all three instructions the money is the instruction and the units are the consequence, and once that is seen, none of the differences between them is surprising any more.

Running the consequences out gives the rest. Because the rupees are fixed, an instalment meeting a lower value per unit buys more units, without anybody deciding that it should. Because the rupees are fixed, a withdrawal meeting a lower value per unit cancels more units, again without anybody deciding it. And because the rupees are the instruction, none of the three can be restated in units without turning into a different instruction altogether: an order to buy 300 units a month is a real thing somebody could give, but it is not a systematic investment plan, and it behaves in the opposite direction.

Here is the same idea from the household end of the lane. The Sunday tomato arrangement fixes the hundred rupees, so the bag is heavier in the week tomatoes are cheap. An arrangement that fixed the weight instead, two kilos every Sunday whatever they cost, would empty a different amount from the purse each week. Both are perfectly sensible ways to shop. The two arrangements are not the same instruction, and they cannot produce the same numbers. Fixing the money and fixing the quantity are two different orders, and almost every confusion that follows comes from treating one as though it were the other.

One division sits under all three instructions. Everything else is a consequence of it. RUPEES FIXED BY THE HOLDER, DIVIDED BY THE VALUE PER UNIT ON THAT OCCASION, GIVES UNITS. The left side of that division is chosen and never moves. The right side is not chosen by anybody. The answer is therefore not chosen either, and that is the whole of the property this guide keeps coming back to. The buying side Where the value per unit is lower a fixed instalment ends with MORE units, and with fewer where it is higher. Nobody chose that. The division did it. The cancelling side Where a lower value per unit applies, a fixed withdrawal gives up MORE units. One division, opposite sign, and this is the less comfortable half of it. The describing side Restate any of the three in units rather than rupees and it becomes a different instruction that behaves in the opposite direction. ONE PROPERTY, THREE CONSEQUENCES, AND NOTHING ELSE HERE IS INDEPENDENT OF IT. The band at the top of this drawing carries more than any of the three boxes underneath it.
Pinning the rupees down and leaving the unit count to a division is the single property that produces the buying side, the cancelling side and the describing limit all at once.

With all three now defined on their own terms, they can be set beside each other honestly. The grid below leaves cells empty where there is nothing it is entitled to put in them. Two of its rows are drawn as dashed outlines rather than filled, and the reason differs between them. One is a matter SEBI settles. The other is a figure no record of the scheme carries at all.

Three instructions side by side, with the cells that cannot honestly be filled left visibly empty. A grid with every cell filled would be tidier and would be making things up in at least two places. Systematic investment plan Systematic transfer plan Systematic withdrawal plan Which way the money travels In. Money arrives and units are created. Across. Cancelled in one, created in the other. Out. Units cancelled, money leaves. Schemes reached on one occasion One Two One Legs carried on one occasion One Two One What is fixed and what floats IDENTICAL ACROSS ALL THREE COLUMNS. The rupee amount is set by the holder. The unit count is whatever the division on that occasion returns. Smallest amount an occasion may carry, schedules offered PUBLISHED BY SEBI Read it at sebi.gov.in. Left blank here on purpose, because a printed condition of this kind goes wrong rather than stale. How many occasions have run on this scheme NO ENTRY IN THIS RECORD This platform holds no count of instructions, occasions or flows for either invented scheme. See the footnote below. Footnote to the lower dashed row: a plausible looking number written into that cell would be an invented figure rather than a found one, and it would read exactly like the ones above it that were actually computed. That is the reason the cell is drawn empty instead.
Set side by side, the three instructions differ only in direction and in how many schemes each reaches, and two rows of the grid are left visibly empty rather than filled with figures no record of the scheme carries.
Try it out

In a systematic instruction of any of the three kinds, which number does the holder set, and which one is left to fall out of a division?

Try it out

An instalment of Rs 10,000/- runs three times and meets values per unit of Rs 35.00, then an assumed Rs 32.00, then an assumed Rs 38.00. Averaged across all three occasions, will the rupees paid for one unit land above Rs 35.00, below it, or exactly on it?

What does a fixed rupee purchase do to the average cost per unit?

The average cost per unit lands below the plain average of the values it met, always, unless every value was identical. The result is not an opinion and not a finding about the Girnar Large Cap Equity Fund. It is what division does. Here it is worked in full, and before the first figure appears the fixed point goes down again: the Girnar Large Cap Equity Fund has one struck value per unit, Rs 35.00, and no series behind it. Rs 32.00 and Rs 38.00 below are assumed, put there only so three divisions can be watched instead of one.

OccasionValue per unit metThe divisionUnits recorded
OneRs 35.00, from the record10,000 over 35.00 is 285.714285 repeating285.714
TwoRs 32.00, assumed10,000 over 32.00 is 312.5 exactly312.500
ThreeRs 38.00, assumed10,000 over 38.00 is 263.157894 repeating263.158
TotalRs 30,000/- put inThe three unit counts added861.372

Now the figure the whole guide turns on. The average cost per unitEvery rupee put in, divided by every unit received. Not an average of prices, and not a figure any single occasion produced. is total rupees over total units: Rs 30,000/- divided by 861.372 units, which is Rs 34.8281578, and to four decimals Rs 34.8282. Set that beside the plain average of the three values met, the arithmetic meanAdd the values and divide by how many there are. The mean treats each value as counting equally, whatever quantity was bought at it.: 35.00 plus 32.00 plus 38.00 is 105.00, and 105.00 over 3 is Rs 35.00 exactly. The average cost came out Rs 0.1718 below the plain average, or 0.49 per cent of Rs 35.00. No market did that. Arithmetic did.

Why does it happen? The middle row of the table holds the answer. The occasion that met the lowest value bought the most units, 312.500 of them, so it carries the most weight when total rupees are divided by total units. The occasion that met the highest value bought the fewest, 263.158, so it carries the least. A plain average would have counted all three values equally; the division counts them in proportion to the units each one produced. The weighted result has a name. It is the harmonic meanThe average that results when a fixed quantity is divided by each of several values and the results are added. The harmonic mean sits at or below the plain average, never above it. of the values met.

Say the general form out loud. The general form is what stops this being mistaken for a fact about schemes. Divide a fixed amount by each of several values, add up the answers, then divide the fixed total by that sum, and what comes out is the harmonic mean of those values. The same holds for a fixed hundred rupees of tomatoes every Sunday, for a fixed two hundred rupees of fuel every Thursday, and for any fixed sum of money spent repeatedly on a thing that carries a price and can be split. There is nothing about a scheme, a unit or a market in that sentence, and there does not need to be.

The cheapest occasion bought the most units, so it pulls the average cost below the plain average. Left panel origin at zero units, 0.60 px per unit. Right panel origin at Rs 34.70, NOT zero, 500 px per rupee. UNITS BOUGHT BY THREE FIXED INSTALMENTS OF Rs 10,000/- Baseline below is zero units, so bar heights are directly comparable. Rs 35.00 Rs 32.00 Rs 38.00 285.714 units bought value from record 312.500 units bought value assumed 263.158 units bought value assumed Total 861.372 units for Rs 30,000/- put in. The tallest bar is the occasion that met the lowest value, and that is the whole mechanism. TWO AVERAGES ON ONE SCALE Scale runs Rs 34.70 at the foot to Rs 35.10 at the top. 34.70 34.80 34.90 35.00 35.08 Rs 35.00 plain average Rs 34.8282 average cost 30,000 over 861.372 Rs 0.1718 The Rs 0.1718 gap is drawn 86 px tall only because the origin here is Rs 34.70 rather than zero. Zero based it is 3 px.
Three fixed instalments buy the most units where the value per unit is lowest, which drags the average cost per unit down to Rs 34.8282 while the unweighted average of those very same figures stays at Rs 35.00.

Do the three roundings cancel out, or do they pile up?

The roundings pile up, and they do not have to be large to be worth naming. Each occasion of a systematic instruction is a separate transaction, so each one is divided and rounded entirely on its own. Three occasions produce three separate rounding decisions rather than one at the end. Two of the three divisions above did not come out clean, and the record carries three decimals, so something had to be given up or taken on each time.

OccasionExact quotientRecordedResidue in unitsWhich way it went
One285.714285 repeating285.7140.000285714 shortRounded down, against the holder
Two312.5 exactly312.5000.000000000Nothing to round, exactly zero
Three263.157894 repeating263.1580.000105263 overRounded up, in the holder's favour
NetExact total 861.3721805861.3720.000180451 shortThe three did not cancel

Read the last row rather than the tidy 861.372 above it. Three separate roundings netted to roughly two ten thousandths of a unit fewer than exact division asks for. At Rs 35.00 a unit that is worth a little over half a paisa. The size is not the point; the failure to cancel is. Run an instruction for years rather than three occasions and the residues keep accumulating in whichever direction each division happens to fall. No rule is being broken. A record with three decimal places has to do something with a division that has no end, and rounding is what it does.

The middle row deserves a moment on its own. Rs 10,000/- divided by Rs 32.00 is 312.5 and stops, so the residue on that occasion is not small, not rounded and not approximately anything. The residue is exactly zero. A residue of exactly zero is a genuinely different kind of entry from the two either side of it, and the drawing below leaves it unshaded for that reason.

Three occasions, three separate roundings, and one of them is exactly nothing. Origin is the zero line at the centre. Scale is 220,000 px per unit of residue, chosen so a ten thousandth of a unit is visible at all. 0 0.000285714 SHORT Occasion one, at Rs 35.00. Rounded down, against the holder. EXACTLY ZERO Occasion two, at an assumed Rs 32.00. The outline is empty because the residue IS zero, not because it is unknown or withheld. 0.000105263 OVER Occasion three, at an assumed Rs 38.00. Rounded up. NET 0.000180451 OF A UNIT SHORT. RESIDUES ACCUMULATE. NOTHING MAKES THEM CANCEL.
Each occasion rounds on its own, so the three residues net to a shortfall rather than cancelling, and the middle outline is drawn empty because that residue is exactly zero.

One check on this arithmetic looks reassuring and is worth nothing. Multiplying 861.372 units by Rs 34.8282 gives back roughly Rs 30,000/-, and it feels like confirmation. It is not. Rs 34.8282 was defined as Rs 30,000/- divided by 861.372, so multiplying it back can only return the number it started from, whatever mistakes were made earlier. A check that cannot fail is not a check, and the only useful thing it proves is that multiplication reverses division.

A second route never touches the recorded unit counts at all, so it can genuinely fail. Work the harmonic mean straight from the three values. Put 1 over 35, 1 over 32 and 1 over 38 on a common denominator of 21,280. The numerators become 608, 665 and 560, adding to 1,833 over 21,280. Three divided by that fraction is 3 times 21,280 over 1,833, or 63,840 over 1,833. The quotient is Rs 34.8281505. Round to four decimals and it is Rs 34.8282, the same figure the units route produced. The two agree to four decimals and part company after that, and the reason is exactly the residues in the table above: one route rounded three times on the way and the other never rounded at all.

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Is that lower average an advantage, or only what division does?

Answer it by asking a question almost nobody asks: who, exactly, paid Rs 35.00? Not the holder in the table above, who paid Rs 34.8282. Not the scheme. Not any market on any occasion. Rs 35.00 is not a value that was struck three times; it is the plain average of three values that were struck once each. Before a comparison can mean anything, the figure on the other side of it has to belong to somebody, and until this paragraph the Rs 35.00 belonged to nobody at all.

The figure does belong to somebody, though, and once that is seen the whole comparison changes shape. Rs 35.00 is the sum a fixed unit order would have handed over. Suppose instead of fixing the rupees a holder had fixed the units, ordering 285.714 units on each of the three occasions. The fixed unit order costs 285.714 times Rs 35.00, plus 285.714 times an assumed Rs 32.00, plus 285.714 times an assumed Rs 38.00. Added up, it is 285.714 times 105.00, or Rs 29,999.97 in total, for 857.142 units. Dividing: Rs 29,999.97 over 857.142 units is Rs 35.00 exactly, to the paisa.

So here is the honest statement of the comparison, with both sides named. On one side, a fixed rupee instruction: Rs 30,000/- put in, 861.372 units received, average cost Rs 34.8282. On the other, a fixed unit instruction: Rs 29,999.97 put in, 857.142 units received, average cost Rs 35.00 exactly. The two put in essentially the same money, three paise apart, and one ended with 4.230 more units. Those extra units are 4.230 over 857.142, or 0.49 per cent more. The same 0.49 per cent showed up as a lower cost per unit, arrived at from the other end. Two instructions were compared with each other, and neither of them was compared with a market, an outcome or with doing nothing at all.

One result, counted twice: 0.49 per cent off the cost, and 0.49 per cent onto the units. Both differences are invisible at true scale, so both are drawn twice: once honestly and once magnified, with the origin and the factor declared each time. UNITS RECEIVED, TRUE SCALE. ORIGIN AT ZERO UNITS, 0.40 PX PER UNIT. Fixed rupee instruction 861.372 Fixed unit instruction 857.142 Those two bar ends are 1.7 px apart at this width. That is the honest picture, and it is why the panel below exists. THE SAME TWO NUMBERS, MAGNIFIED EXACTLY 100 TIMES. ORIGIN AT 856.000 UNITS, NOT ZERO, 40 PX PER UNIT. 857.142 861.372 Magnified scale 856 858 860 862 864 866 868 4.230 units apart, drawn 169.2 px wide here AVERAGE COST PER UNIT, TRUE SCALE. ORIGIN AT Rs 0.00, 10 PX PER RUPEE. Fixed unit instruction Rs 35.00 Fixed rupee instruction Rs 34.8282 Also 1.7 px apart at this width, which is the same invisible difference as the units panel above it. THE SAME TWO NUMBERS, MAGNIFIED EXACTLY 100 TIMES. ORIGIN AT Rs 34.75, NOT ZERO, 1,000 PX PER RUPEE. Rs 34.8282 Rs 35.00 Magnified scale 34.75 34.85 34.95 35.05 35.15 Rs 0.1718 apart, drawn 171.8 px wide here
The units gained and the cost saved are one result seen from two ends, both of them 0.49 per cent and both of them invisible until the drawing declares a non zero origin and magnifies.

Now the limit. The fixed rupee instruction has not been shown to produce a better result, a safer one, or a cleverer one. What has been shown is narrower: dividing a fixed amount by several values and adding the answers gives the harmonic mean of those values, and the harmonic mean sits below their plain average. The property belongs to division. It held before anybody thought of a scheme, and it holds for anything else bought with a fixed amount of money on a repeating schedule. Whether a holder is better off is a question about what values the occasions actually met and over what stretch, and neither of those is available here, because only one struck value per unit exists for the Girnar Large Cap Equity Fund here, with no series standing behind it.

Change the assumed values and the size of the gap changes with them. Bring them closer together and it shrinks towards nothing; push them apart and it grows. The harmonic mean is never above the plain average, so the direction never flips. The size of the gap is entirely a function of the assumed values, which makes the mechanism fixed and the magnitude a fact about nothing.

The three lines a reader is usually shown, and the label that is usually missing. Nothing in the card on the left is wrong. What is missing is whose figure the second line is. WHAT USUALLY GETS SHOWN Average cost per unit Rs 34.8282 Plain average of the values met Rs 35.00 Difference 0.49 per cent NOT COMPUTABLE Whether this holder ended better off needs two inputs: the values the occasions actually met, and the stretch over which they fell. This record holds one struck value per unit and no series, so neither input exists. The panel stays empty. THAT SECOND LINE BELONGS TO A DIFFERENT INSTRUCTION. Rs 35.00 is the sum a fixed unit order would have handed over across those three values. It was never offered to anybody as a price, and the card above does not say so, which is how a reader ends up thinking a comparison with a market has been shown to them. THE FIX IS ONE SENTENCE LONG. Give the average cost. Say whose figure the number next to it is. Then let the sentence end, because the next one is where the trouble starts.
The usual three line summary is arithmetically correct and still misleads, because it never says that the comparison figure is what a different instruction would have paid.
Try it out

Rs 34.8282 is the average cost, with Rs 35.00 as the plain average sitting next to it. Which of these actually paid Rs 35.00?

Play with it

Widen the spread and watch the two averages come apart

One control, one consequence. The three assumed values are Rs 35.00, Rs 35.00 less the spread, and Rs 35.00 plus the spread. Three instalments of Rs 10,000/- each are divided by them. The plain average of the three values is Rs 35.00 whatever the spread, and it will refuse to move. The average cost per unit will not.

SPREAD Rs 0.00SPREAD Rs 3.00Rs 10.00
UNITS BOUGHT. ORIGIN AT ZERO UNITS, 0.42 PX PER UNIT. THE TWO AVERAGES ON ONE SCALE. ORIGIN AT Rs 33.00, NOT ZERO. 100 PX PER RUPEE. Rs 35.00 Rs 32.00 Rs 38.00 285.714 units 312.500 units 263.158 units 33.00 33.50 34.00 34.50 35.00 Rs 35.00 plain average, fixed Rs 34.8282 average cost
TOTAL UNITS FOR Rs 30,000/-
861.372
AVERAGE COST PER UNIT
Rs 34.8282
PLAIN AVERAGE OF THE VALUES
Rs 35.00
With the spread at Rs 3.00 the three assumed values are Rs 35.00, Rs 32.00 and Rs 38.00. Three instalments of Rs 10,000/- buy 285.714, 312.500 and 263.158 units, which is 861.372 units for Rs 30,000/-. The average cost per unit is Rs 34.8282 and the plain average of the three values is Rs 35.00.
Educational illustration. What moves on this screen is a division, and it makes no statement of any kind about what follows. Only Rs 35.00 is the struck value per unit on record for the Girnar Large Cap Equity Fund; each of the other values is assumed and was chosen to keep the arithmetic visible. The division models no market, no stretch of time and nothing ahead. The red marker is the figure a fixed unit order would have paid, and it was never quoted to anybody as a price. Money is held in whole paise throughout and each unit count is rounded half up to three decimals, exactly as the tables further up do it.
Try it out

Drag the spread all the way down to Rs 0.00, so all three assumed values become Rs 35.00. What happens to the two markers on the right hand scale?

Try it out

Predict this one before reading on. Where the value per unit is lower, a fixed instalment ends up with more units. So at a lower value per unit, what does a fixed withdrawal end up doing?

Comparing Funds Without Being Fooled teaches you to compare on the right basis and to know what a returns table hides.

What does the same division do on the withdrawal side?

Exactly the same thing, with the sign turned round, and this is the half of the mechanism that usually gets left out. Take the holding of 2,857.143 units in the Girnar Large Cap Equity Fund again. A fixed Rs 20,000/- taken out at a value per unit of Rs 35.00 cancels 571.429 units. The same fixed Rs 20,000/- taken out at an assumed Rs 32.00 cancels 20,000 over 32.00, or 625.000 units exactly. Cancelling at the lower value gives up 53.571 more units, for the same money in hand. Wherever the value per unit is lower, the fixed amount that ends up with the most units is also the fixed amount that gives up the most units, and a single division is doing both jobs.

Push it one step further and the mirror is complete. Across those two occasions the holder took out Rs 40,000/- and gave up 1,196.429 units. The average value per unit actually realised is 40,000 over 1,196.429, or Rs 33.4328. The plain average of the two values met is 35.00 plus 32.00 over 2, or Rs 33.50 exactly. The realised average sits Rs 0.0672 below the plain average, or 0.20 per cent of Rs 33.50. It is below for precisely the reason it was below on the purchase side: more units left on the occasion that met the lower value, so that occasion carried the greater weight.

Read the mirror the other way round. On this side, below is not the flattering direction. On the buying side, landing under the plain average meant more units for the money. On the selling side, landing under the plain average means more units surrendered for the money. An account that shows the purchase side of this arithmetic and stops teaches half a mechanism and leaves the comfortable half standing alone, and the two halves are the same division. Neither half is a fault in the instruction and neither is a feature of it. Both are what happens when the rupees are fixed.

The same fixed amount cancels more units at the lower value, exactly as it buys more. Longer here is worse, not better. This is the same drawing as the buying side, read from the other end. UNITS CANCELLED TO RAISE Rs 20,000/-. ORIGIN AT ZERO UNITS, 0.70 PX PER UNIT. At Rs 35.00, from the record 571.429 units At an assumed Rs 32.00 625.000 units The bracket above marks 53.571 more units cancelled at the lower value, drawn 37.5 px wide at this scale. The holder received the same Rs 20,000/-. THE BUYING SIDE AND THE CANCELLING SIDE ARE ONE DIVISION, NOT TWO IDEAS. Where the value per unit is lower, a fixed Rs 10,000/- ends with more units and a fixed Rs 20,000/- gives up more units. THE AVERAGE VALUE REALISED ACROSS THE TWO OCCASIONS IS Rs 33.4328, NOT THE PLAIN Rs 33.50. That is 0.20 per cent below the plain average, and on this side of the mirror below is the uncomfortable direction rather than the flattering one.
Raising a fixed Rs 20,000/- cancels 53.571 more units at the lower value, which is the buying side of the same division read from the other end.

What does none of the three instructions do?

Start with the biggest one. None of the three changes what the Girnar Large Cap Equity Fund holds. Kalyani Bhagat runs the portfolio, and no instruction sitting with the registrar and transfer agent reaches into that work or asks anything of it. What arrives is money and what leaves is money, and neither carries a note about how the order that produced it was arranged. A scheme with a thousand repeating instructions running against it and a scheme with none look identical from the inside.

None of the three moves the value per unit for anybody, either. The value per unit is struck out of the scheme's own books, net assets divided by units in issue. A subscription brings in money and creates units in the same proportion, so the division comes out where it would have anyway. A holder who does not run any repeating instruction is not affected in either direction by a holder who does. An instruction is a statement about one holder's timing and one holder's amount, and it has no reach at all beyond the folio it belongs to.

The smaller limits matter too, and they are the ones oversold in ordinary conversation. None of the three is a product; there is nothing to hold, nothing with its own value per unit, nothing that appears as a line in any scheme. None of them is separately registered with any authority as a thing in itself, though the conditions under which any of them may be offered at all are certainly SEBI's. None of them promises an outcome, protects against anything, or makes any statement about what is coming. Each of the three is an order about when and how much, resting on transactions that were fully worked out earlier in this sequence.

Who reaches for this arithmetic on a working day, and why?

Three people, and none of them is doing it out of curiosity. Sohail Merchant, who heads operations at Girnar Asset Management Limited, reads a repeating instruction as a queue of ordinary transactions rather than as one arrangement. Only that reading lets a question about one occasion be answered by looking at that occasion. When a holder asks why one occasion produced a different unit count from the one before it, the answer is a division, and the division is right there.

Somebody in a service role fielding calls uses it differently. The commonest call on this subject is a holder saying the average cost on a statement does not match the value per unit published today, and the useful reply is not reassurance, it is naming what each figure is: one is every rupee put in divided by every unit received across all the occasions so far, the other is what one unit is worth at this moment. The two figures answer different questions and were never supposed to match.

Somebody advising a household reaches for it in the most careful way of the three. The question worth asking is not whether the average cost looks flattering; it is what the two figures beside each other are averages of, and whether the second one belongs to any instruction the household is actually choosing between. Whether a holder ended better off needs the values the occasions met and the stretch they fell over. Neither of those exists in this record, and arithmetic alone cannot settle it.

The other end of the transfer and the withdrawal comes up constantly for all three of them. Each of those instructions cancels units on every occasion, and a cancellation of units has consequences in tax law that are settled by tax law alone. The current position on rates, thresholds and holding periods is at incometaxindia.gov.in.

The mistake a lower average cost invites

A holder is told that running a fixed amount on a schedule gets a better average price, and they hear it as a statement about outcomes rather than a statement about division. Sometimes the person explaining goes a step further and calls that lower average cost a way of making the whole thing safer. Nobody in that exchange has said anything false. The arithmetic genuinely is what it is, and it is nearly always handed over stripped of the single thing that would let anybody read it, namely whose figure it is being measured against.

The cost is quiet. The holder quietly drops the two questions that settle how this ends, namely which values the occasions met and how long they went on for, and walks off with an identity about division lodged in the mind as a belief about what is coming. An identity is true in every possible future, and for that reason it says nothing about any particular one.

There is a second cost and it is easier to miss. The plain average sitting next to the average cost was never a figure offered by any market to anybody. The plain average is the figure a fixed unit order would have paid across those same values. The comparison is therefore a contest between two ways of giving an order, not a measurement of an order against any result. A reader never told this leaves convinced that something better than sitting still has been demonstrated, when what was actually put in front of them was a margin over a different order nobody had proposed.

The fix is one sentence and it is portable. Give the average cost, then say whose figure the number next to it is, and let the sentence end. Anything added after that is a claim about what is coming.

India

Who sets the conditions left blank here?

SEBI does. SEBI settles whether a repeating instruction may be registered at all, the smallest amount one occasion may carry, which schedules a scheme may offer, how each occasion attaches to a value per unit, and every condition around starting, changing and ending such an instruction. Conditions of that kind are revised, and a printed statement of one does not merely go out of date, it goes wrong on the day of the revision.

The current position is at sebi.gov.in and is worth reading on the day the answer matters. Industry level description of how these instructions are presented to holders sits with the Association of Mutual Funds in India (AMFI) at amfiindia.com. AMFI describes practice rather than making any rule. Where units are held in a dematerialised account rather than on a folio record, the depositories are Central Depository Services (India) Limited at cdslindia.com and National Securities Depository Limited at nsdl.co.in, named here for that fact alone.

One more authority belongs in this block. A transfer instruction and a withdrawal instruction each cancel units on every occasion, and what follows from a cancellation is settled in tax law rather than in securities regulation. No rate, no threshold and no holding period is stated anywhere above. Read incometaxindia.gov.in for that, on the day it matters.

Try it out

Last one, and it is a recall question. Name something that none of the three instructions does.

The life of a repeating instruction, from the moment it is registered to the moment it stops, is covered separately, including how one is authorised, what happens on an occasion that does not go through, and how it is paused or ended. The switch as one transaction was settled immediately before this in the sequence and is used here rather than rebuilt, as were how money becomes units at the start of the sequence and what travels between an order and an allotment under pricing. How a load can reduce what a redemption actually pays out comes last in this sequence and is named above rather than worked. Every minimum amount, permitted schedule and registration condition belongs to SEBI at sebi.gov.in. What either scheme holds is covered separately, as is how a portfolio is put together. Whether any holder should give any of these three instructions belongs to wealth and advice; the three are set beside each other here without any of them being put in front of another.
Breaking Into Quants Bootcamp — Fin Maverick

References

Authority namedWhat it settles, and what is therefore left blank herePublished at
Securities and Exchange Board of IndiaWhether a repeating instruction may be registered at all, the smallest amount one occasion may carry, which repeating schedules a scheme may offer, how each occasion attaches to a value per unit, and every condition attached to starting, changing or ending such an instruction. Named here for the existence of those conditions only. No amount, schedule, interval, clock reading or attachment condition is copied out or paraphrased anywhere abovesebi.gov.in
Association of Mutual Funds in IndiaIndustry level description of how repeating instructions are described to holders and how transaction records are presented across the industry. Named for where that description sits, never treated as the maker of any condition, and no aggregate, count or rate from it is reproduced aboveamfiindia.com
National Securities Depository LimitedNamed once, for the case where units sit in a dematerialised account rather than in a folio held on the registrar record. No process, charge or timeline from it is stated abovensdl.co.in
Central Depository Services (India) LimitedNamed once, for the same reason as the entry above it. No process, charge or timeline from it is stated abovecdslindia.com
Income Tax Department of IndiaNamed because a transfer instruction and a withdrawal instruction each cancel units at one end, and what follows from a cancellation in tax terms is settled in tax law rather than here. No rate, no threshold and no holding period appears aboveincometaxindia.gov.in

Girnar Asset Management Limited, the Girnar Large Cap Equity Fund, the Girnar Broad Market Index Fund, Kalyani Bhagat and Sohail Merchant are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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