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Financial Institutions, Banking & Market Infrastructure
1The Financial System
The Financial SystemDirect Finance and IntermediationBank-Based and Market-BasedHow to Map Any…A Financial ClaimFinancial Health of an InstitutionSystemic Importance
2Banking
Net Interest Income and…Bank Margin and Deposit MixBank ResolutionBank RunsCommercial BanksCentral Bank and Commercial BankBank ReservesInterest IncomeIssuer and Acquirer BankAsset-Liability ManagementThe Bank Balance Sheet…Provision CoverageAsset QualityOpen Banking and Account Aggregators
3Deposits and Lending
Co-LendingRetail and Corporate Lending…On-Balance-Sheet Lending Against Co-Lending…Loan TypesDepositsSavings AccountsLoan to ValueLoan-to-Value CalculatorBank Funding and SpreadFixed and Floating-Rate Loans
4Institution Economics
What a Financial Institution…How to Build a…Where a Financial Institution…How Efficiency Ratios Read…What the Cost to…Cost to Income CalculatorCo-Lending EconomicsCapital Adequacy CalculatorReturn on Assets and…Disclosed, Derived or Concluded
5NBFCs and Digital Credit
Credit UnderwritingCredit Cost vs Provision CostAlternative Data in CreditTraditional vs Alternative Credit…Fintech LendersNBFC vs Fintech LenderCredit BureauxDigital LendingEmbedded FinanceLoan OriginationLoan Book EconomicsWarehouse LinesDigital Public InfrastructureFirst Loss Default GuaranteeBank vs NBFCDirect vs Intermediated Distribution
6Insurance
How Insurance Pools Risk…UnderwritingLoss Ratio, Expense Ratio…Insurance Ratio CalculatorLife and General InsuranceInsurance and AssuranceInsurance FloatHow an Insurer Earns,…ReinsuranceSolvency RatioPremium Growth
7Asset Managers
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8Brokerages and Exchanges
What a Broker Does…Broker and DealerFull-Service and Discount BrokersThe Order BookOrder FlowStock ExchangeTrading VenuesMargin FundingBrokerage EconomicsThe Bid-Ask Spread
9Market Plumbing
The Interbank MarketExchange, Clearing Corporation, DepositoryClearingNovationMarket MakersSecurities LendingThe Settlement CycleCorporate ActionsDelivery Versus PaymentHaircut and Margin
10Payments
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11System Liquidity
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12System Stability
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13Financial Inclusion
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Commercial Banks: What They Do That No One Else Does

A commercial bank does three things together that nothing else in finance is permitted to do together. It takes deposits repayable on demand at their face value, it lends that money out for longer than the deposits are committed for, and it settles payments so a balance can travel to somebody else. The deposit is the part that needs a licence.

Most people, asked what a bank does, name one of the three functions, usually lending. Lending is the visible function, and it is also the one with the least to do with why banks are treated as a category of their own, kept under a licence, and worried about by people who never worry about a shop or a factory. Plenty of institutions lend. A moneylender lends. A supplier who ships goods in March and asks for payment in June has lent. Almost nothing else takes a depositor's money this morning on a promise to hand the identical number back this afternoon, uses it in the meantime to fund something that will not come back for seven years, and lets that depositor pay an electricity bill out of the same balance while all of that is going on.

One sentence carries the whole argument. A bank is not a lender with a bigger sign outside. A bank is the one arrangement that funds long lending with money it has promised to repay on demand at face value, and settles other people's payments out of the same balances.

What are the three functions, and why do they have to travel together?

The set is the definition, and no single member of it is. Write all three out before opening any one. A commercial bank accepts deposits repayable on demand at par. The bank makes advances out of that money. And it settles payments between accounts. A balance sitting with the bank can be moved to somebody who holds a balance somewhere else.

Plenty of institutions do one of these, and some do two. Doing all three together is what the word bank means, and it is what requires a licence. A lender that raises its money from the market and hands it on does the second. An arrangement that only moves money between accounts does the third. Neither of them may do the first, and the first is what makes the other two behave the way they do inside a bank.

The licence repays a closer look. A banking licence is not a licence to lend. Anybody with money is free to lend it. The licence is a licence to accept money from the public on a promise of one particular kind, and the conditions attached to it are the Reserve Bank of India's to set. Each of those conditions is named below, with the address of the body that sets it in place of a value.

Three functions, and who is allowed to perform each of them a filled mark means the institution does it, a hollow mark means it does not THE INSTITUTION Takes deposits repayable on demand at par Makes advances out of that money Settles payments between accounts A commercial bank A lender that takes no deposits An arrangement that only moves money A market where claims change hands One row carries all three marks, and only that row needs a licence to exist
Taking deposits repayable on demand at par, lending, and settling payments between accounts are performed together only by a commercial bank, and plenty of institutions perform one or two of the three without ever being one.
Try it out

An institution lends money to thousands of borrowers, is larger than several banks, settles no payments and takes no deposits. Is it a bank?

What do the words at par and on demand actually promise?

Two words, two separate promises, and it is worth pulling them apart because removing either one turns a deposit into something else entirely.

At par means a rupee put in is a rupee coming out. The number does not move. The number does not move for any of the usual reasons: a market fell, rates rose, the bank had a poor year, or somebody else wanted to sell the same thing on the same afternoon. A salary of Rs 60,000/- credited on the first is Rs 60,000/- on the first, and it is still Rs 60,000/- on the fourth, whatever happened anywhere that week. A traded claim has a price, and a price is the whole point of trading it. Every traded claim in finance breaks that promise as a matter of course.

On demand means today, without notice, without a market and without a buyer. That last part is the one people skip. When a holder sells a traded claim, somebody has to be on the other side of it: the money arrives because a buyer appeared and agreed a price. When a depositor withdraws, nobody appears. There is no counterparty, no price, no queue for a matching order. The bank simply pays, out of what it holds, at the number printed.

The two together make a promise with no equivalent anywhere else in finance: a fixed number, available immediately, with no market standing between the holder and it. The combination is why the balance is convenient, why the bank pays so little for it, and why the whole arrangement has to be licensed.

A claim always has two ends. Now write the same deposit down from both. Deposits at Suvarna Commercial Bank Limited, an invented bank, come to Rs 1,92,000 crore, four fifths of everything the institution holds. The deposit total sits on the bank's books as a liability. The identical Rs 1,92,000 crore sits on the depositors' side as an asset. The two added together come to Rs 0/-, and that is not a curiosity: it is the test of whether one claim is in view or two. Nothing was created by writing it down twice. One promise exists, and it has been recorded from each end.

One deposit, written down from both ends THE DEPOSITORS' SIDE Asset: balances held with the bank plus Rs 1,92,000 crore reachable today, at the number printed SUVARNA COMMERCIAL BANK'S SIDE Liability: deposits repayable on demand minus Rs 1,92,000 crore 80.0 per cent of Rs 2,40,000 crore of assets + The pair adds to Rs 0/-. One claim exists, recorded from each end. AT PAR the same number appears on both sides, and it does not move with anything ON DEMAND the claim may be called back today, with no notice, no market and no buyer
The deposit is a single claim written down twice, so the depositors' asset of Rs 1,92,000 crore and the bank's liability of the same amount add to Rs 0/-, and the two words attached to it carry two different promises.
Try it out

What does a deposit repayable at par promise that no traded claim promises?

What does a lender that takes no deposits do differently?

The clean way to price the deposit is to look at a lender that does not have one. Rukmini Finance Limited, an invented lender, is a finance companyA lender that raises its money in the market and takes no deposits. What such a lender is like as a business in its own right is worked through separately.. It lends. Rukmini Finance Limited is not permitted to accept a deposit, so not one rupee of what it lends arrives as one. The money is raised from other lenders instead: Rs 14,400 crore of borrowings sit behind Rs 18,000 crore of assets under management, with Rs 3,600 crore of net worth underneath. Borrowings and net worth together come to exactly the Rs 18,000 crore it holds. The two lines are the whole of its funding side.

The two are not the same arrangement bought at two different prices. The deposit and the market borrowing are different arrangements, and three things separate them.

The first is how the money leaves. A deposit base runs away in a queue: everybody may ask on the same morning, and nobody has to give notice. Market borrowing does not do that. Market borrowing sits until its date and then simply fails to be renewed. The failure is slower, more visible, and lands on a calendar somebody can read in advance. Both are dangerous, in different shapes.

The second is who sets the price. A household accepts a low rate on a balance because the balance is convenient, reachable and usable. A market lender to a finance company gets no convenience out of the arrangement, and accepts nothing of the kind. The market lender is getting a rate, and sets that rate against what else it could do with the money. So one lender's funding cost is decided by what a household will accept for convenience and the other's is decided by whoever is lending to it that quarter.

The third is the one nobody expects, and it is the sharpest. Nobody pays anybody with a liability of a finance company. A lender's borrowing cannot be handed to a shopkeeper. But a balance at Suvarna Commercial Bank can be handed to somebody else, and when it is, the bank moves it and the shopkeeper accepts it as money. The ability to hand a balance on is why one of these two settles payments and the other settles nothing, and why the third function could never have belonged to a finance company.

Only one of these two liabilities can be used to pay somebody A BALANCE AT SUVARNA COMMERCIAL BANK LIMITED The depositor holds the balance The bank moves the balance A third party's account accepted as money the balance itself travelled, and nothing was sold to make that happen A CLAIM ON RUKMINI FINANCE LIMITED A market lender holds the claim The finance company owes it back on a date handed on to a third party the only way out is the date nobody settles a bill with it, so this institution settles nothing for anybody
A balance at Suvarna Commercial Bank Limited can be used to pay somebody else while a claim on Rukmini Finance Limited cannot, and that single difference is why one of the two settles payments and the other does not.
Try it out

Suvarna Commercial Bank Limited and Rukmini Finance Limited both fund about 80 per cent of what they hold with borrowed money. What is the sharpest difference between the two funding arrangements?

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What does the deposit actually buy, in rupees?

Now put a number on it, and be careful about the base. The base is exactly where a comparison goes wrong.

Suvarna Commercial Bank Limited paid interest expended of Rs 11,160 crore in the stated year. Divide the entire bill by the deposit base of Rs 1,92,000 crore and the answer is 5.8125 per cent across the year, printed at two places as 5.81 per cent. 5.8125 per cent is an upper limit on what deposits cost, and calling it the cost would be wrong. Sitting above the deposit base and the net worth is a further Rs 24,000 crore the bank owes, on terms this record never states. Some slice of the interest bill was paid to whoever holds it. Loading all of it onto the deposit base can only make the deposit look dearer than it is, never cheaper. The answer is therefore an upper bound, and the bound is useful anyway.

Rukmini Finance Limited has no deposits to strike a rate on. The lender reports a cost of borrowingsWhat a market funded lender pays for a year on the money it has borrowed, struck on the borrowed amount rather than on everything it holds. of 8.50 per cent a year on its borrowings of Rs 14,400 crore. Interest for the year comes to Rs 1,224 crore.

Set the two down with both bases named. At most 5.8125 per cent on the deposit base against 8.50 per cent on the borrowed base. The gap is at least 2.6875 percentage points, printed as 2.69. One side of the gap is a ceiling, so the gap is a floor rather than a point estimate. The true gap can only be wider. The gap is what the deposit buys, and it buys it not because the bank negotiated well but because a household will accept a low rate on money it can reach this afternoon and pay a bill with.

The everyday version is a street vendor and a wholesale supplier. The customer is buying a snack rather than lending, so the vendor takes cash across the counter all day at no cost at all. Sixty days' credit is a loan and both sides know it, so the supplier who ships stock on those terms charges for the sixty days one way or another. Convenience on one side is a discount on the other. Convenience bought at a discount is the whole mechanism, and the bank runs it at Rs 1,92,000 crore.

What the deposit is worth, on a scale of rates for the year 5.8125 ceiling on deposits 8.50 on borrowings the true cost of deposits sits somewhere in this band 0.00 2.00 4.00 6.00 8.00 10.00 per cent for the year 2.6875 points a floor, because the left marker is a ceiling
Charging the full Rs 11,160 crore interest bill to a Rs 1,92,000 crore deposit base caps the deposit at 5.8125 per cent for the year, against 8.50 per cent a year that Rukmini Finance Limited pays to borrow, which puts the value of the deposit at 2.6875 percentage points or more and never less.
Try it out

Interest expended is Rs 11,160 crore and deposits are Rs 1,92,000 crore. What is the cost of deposits for the year?

Try it out

Cheap funding sounds like a pure advantage. Before reading on, what does the deposit bring with it that market borrowing does not?

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What does the deposit cost, once everything is counted?

A comparison that stops at the funding gap has told half the story, and the flattering half. The deposit is not free money with a discount attached. The deposit brings three things with it that a market funded lender never carries, and all three are the reason the licence exists.

The first is that not all of it may be lent. A part of a deposit base has to be kept rather than deployed, and a set of liquidity conditions attaches to the rest. Which part, and which conditions, are the Reserve Bank of India's to set, and they move.

The second is the cover that sits beneath a depositor if the institution fails. The cover exists precisely because the promise is at par and on demand and made to the public. The cover, what it applies to and what it does not, belongs to the Deposit Insurance and Credit Guarantee Corporation.

The third needs no regulator at all: the deposit can leave tomorrow. Market funding contracted to a date cannot. Leaving is not a rule imposed on the bank but the promise the bank made in order to get the money cheaply in the first place, and it is inseparable from the discount.

Wherever a requirement decides an answer, the row is drawn and named, and then left empty with the address of the party that sets it printed inside. A requirement typed out from memory does the reader harm rather than good. Set down in print it is indistinguishable from a figure somebody verified, it goes stale without any outward sign, and whoever believes it ends up worse placed than whoever received an empty box and a place to look. Hence the form.

The form that stands in place of an answer WHAT THE DEPOSIT BRINGS WITH IT value to be filled from the source named 1. Who may accept a deposit repayable on demand at par, and on what conditions Reserve Bank of India rbi.org.in 2. The cover that sits beneath a depositor if the institution fails Deposit Insurance and Credit Guarantee Corporation, dicgc.org.in 3. What part of a deposit base may not be lent, and the liquidity kept against it Reserve Bank of India rbi.org.in 4. The capital the institution must clear, and the buffers stacked above it Reserve Bank of India, rbi.org.in idea traced abroad to bis.org, position still set here Four rows, four addresses, and each value to be filled from the source named
The licence to take a deposit, the cover beneath a depositor, the part of the deposit base that may not be lent and the capital the institution must hold are all set outside the bank, so each row carries the address of the body that decides it in place of a figure that would age silently.
India

Which conditions are set outside the bank, and who decides each one

What is decidedWho decides itThe value
Who may accept a deposit repayable on demand at par, and under what conditionsReserve Bank of India, rbi.org.in
The cover a depositor has if the institution fails, and what it does not reachDeposit Insurance and Credit Guarantee Corporation, dicgc.org.in
What part of a deposit base may not be lent, and the liquidity kept against the restReserve Bank of India, rbi.org.in
The capital an institution must clear, and the buffers stacked above itReserve Bank of India, rbi.org.in, with the international origin of the idea at the Bank for International Settlements, bis.org

Four rows, and the mechanism above them never depended on any of the four. A second country changes only the four rows, never the mechanism.

Retail Bank vs Corporate Bank: what does each side actually run?

Start with what is missing from the record. The honest version of this part starts there. Suvarna Commercial Bank Limited reports one year of consolidated figures and no split of its advances or its deposits by customer type. There is no retail column and no corporate column anywhere in it. So the two sides below are described by their shape, with no rupee figure attached to either. A split that was made up would read exactly like a counted one.

The retail side

Deposit relationships in enormous numbers, each of them modest, and advancesThe bank's word for money it has handed over and expects back. Judging a borrower, and pricing what they are charged, are worked through separately. in the same shape. Standardised products. A product designed once and sold a million times is the only way the arithmetic works at that unit size. And a cost of distribution and servicing that scales with the number of customers rather than with the number of rupees. Opening an account, answering a query and chasing a missed instalment cost about the same whether the amount is Rs 5,000/- or Rs 5,00,000/-.

The economics are one fact seen twice: the funding is cheapest on this side and the operating cost is highest on this side. They are the same fact because they have the same cause. A small depositor is buying convenience rather than a rate, and that is what makes the money cheap. The same small depositor generates a full account's worth of servicing on a small balance, and that is what makes the cost high. The first cannot be taken without the second.

The corporate side

Few large deposit relationships and few large advances. Terms negotiated one at a time rather than printed on a form. A single relationship is worth the negotiation. And a cost of coverage that scales with the number of relationships rather than with the number of rupees. One team covering one large customer costs roughly what it costs regardless of how many rupees that customer moves.

The mirror holds exactly: the funding is dearer here because a large depositor negotiates, and the operating cost per rupee is lower here because one relationship carries a great many rupees. A treasurer with a large balance knows what it is worth, compares it against what else could be done with it, and asks for a rate. A household with a salary account does not, and is not being foolish: the household is buying something the treasurer is not buying.

The same three functions, at two different unit sizes tile size shows the size of one relationship, not an amount, because this record carries no split THE RETAIL SIDE many relationships, each one small, terms printed on a form THE CORPORATE SIDE few relationships, each one large, terms negotiated one at a time funding cost per rupee: cheapest here dearer here, because a large depositor negotiates operating cost per rupee: highest here lowest here, because one relationship carries many rupees The two arrows point opposite ways, and neither arrangement is the better one
The retail side holds the cheapest funding together with the highest operating cost per rupee while the corporate side holds dearer funding and a lower operating cost per rupee, and both are the same three functions performed at different unit sizes.
Try it out

A retail operation reports a higher operating cost per rupee than a corporate one. Is it worse run?

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Are they different businesses, or the same business at different sizes?

Most treatments duck this, so here it is plainly. Retail and corporate are the same three functions performed at different unit sizes, and the difference shows up in the cost lines rather than in the functions themselves. A retail deposit and a corporate deposit are both money repayable on demand at par. A retail advance and a corporate advance are both money lent and expected back. A retail payment and a corporate payment both move a balance from one account to another.

The point matters more than it looks. A reader who expects two different mechanisms will go looking for the second one and will not find it. There is no separate machinery on the corporate side. The size of one relationship changes, and everything else follows from that: the cost of acquiring it, the cost of servicing it, the rate that has to be paid for it and the rate that can be charged on it. Change the unit size and every cost line moves. Nothing else does.

An everyday version, and it is exact rather than loose. A tea stall and a canteen supplying one office building both buy, prepare and sell. Neither is doing something the other is not. The stall serves four hundred customers at Rs 15/- and the canteen serves one contract at a time. The stall's cost of serving a customer is enormous relative to the sale and its cash comes in with no negotiation at all. The canteen negotiates every term and serves far fewer relationships for the same money. Same three activities. Completely different cost sheets.

Try it out

Do a retail bank and a corporate bank perform different functions?

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What do the two lenders look like side by side, in rupees?

The two arrangements separate on the funding side, so work both funding sides first.

Take the bank first. Rs 2,40,000 crore of assets are funded three ways. Deposits account for Rs 1,92,000 crore, four fifths of the whole. Net worthThe shareholders' share of a balance sheet: whatever remains once every claim against the institution has been met. accounts for Rs 24,000 crore. With both subtracted from the asset total, Rs 24,000 crore is still unaccounted for, so the bank owes that much to somebody on terms this record never states. The Rs 24,000 crore owed elsewhere is arrived at rather than reported, and it stands as an absence rather than as something plausible.

Rukmini Finance Limited holds assets under management of Rs 18,000 crore. Against them sit borrowings of Rs 14,400 crore, again 80.0 per cent of the total, and net worth of Rs 3,600 crore. The two add to Rs 18,000 crore with nothing left over.

So both institutions are funded four fifths by somebody else's money, and that shared number is exactly why the comparison is worth making. The share is identical. The arrangement behind the share is not, and no ratio on the funding side will ever show it.

Two funding sides, both four fifths borrowed, and not the same arrangement SUVARNA COMMERCIAL BANK LIMITED 80.0% Deposits, repayable on demand at par Rs 1,92,000 crore 10.0% Other liabilities, Rs 24,000 crore 10.0% Net worth, Rs 24,000 crore total assets Rs 2,40,000 crore 100% 0% RUKMINI FINANCE LIMITED 80.0% Borrowings, on a date Rs 14,400 crore 20.0% Net worth, Rs 3,600 crore assets under management Rs 18,000 crore This record does not say what the bank's other liabilities are.
Suvarna Commercial Bank Limited funds 80.0 per cent of its Rs 2,40,000 crore with deposits while Rukmini Finance Limited funds the same 80.0 per cent of its Rs 18,000 crore with market borrowings, and the identical share hides two arrangements that behave nothing alike.

The next question is what each lender does with the gap it has bought, with every base named along the way.

Rukmini Finance Limited lends at a yield on advances of 14.50 per cent a year. On Rs 18,000 crore that is Rs 2,610 crore of interest earned. The company pays 8.50 per cent a year on Rs 14,400 crore of borrowings, or Rs 1,224 crore. Its net interest incomeInterest earned for a period less interest paid over the same period. How the line is built and what it is properly divided by are worked through separately. is therefore Rs 1,386 crore, or exactly 7.70 per cent of its assets under management.

Note that this is wider than the 6.00 percentage point spreadThe gap between the rate a lender earns and the rate it pays, with the base each of the two rates is struck on named alongside. between the two rates, and the reason is a base difference rather than anything clever. The lender earns on Rs 18,000 crore and pays on only Rs 14,400 crore, so the Rs 3,600 crore funded by its own net worth earns without paying. At 8.50 per cent that is Rs 306 crore, exactly the difference between the Rs 1,386 crore it reports and the Rs 1,080 crore that 6.00 per cent of Rs 18,000 crore would give. How that arithmetic generalises is worked through separately.

For the bank, interest earned came to Rs 18,600 crore for the year and interest expended to Rs 11,160 crore, leaving net interest income of Rs 7,440 crore. Advances of Rs 1,44,000 crore added to investments of Rs 60,000 crore give earning assetsThe slice of a lender's holdings that actually earns interest. The measures struck on that base are worked through separately. of Rs 2,04,000 crore, and the Rs 7,440 crore against that base reads 3.65 per cent across the year. Name the base on every outing. The very same Rs 7,440 crore measured against the full Rs 2,40,000 crore of assets comes out at 3.10 per cent instead. Nothing the bank did moved between those two readings. Only the number underneath the line moved.

Here is the finding, and it is not the one most readers expect: the lender without deposits runs the far wider margin and is not the more profitable business per rupee of equity. Hold that thought for two paragraphs.

A margin twice as wide, and the same answer at the end of the year Rukmini Finance Limited, net interest income as a share of assets under management 7.70% Rs 1,386 crore Suvarna Commercial Bank Limited, net interest income as a share of earning assets 3.65% Rs 7,440 crore 0.00 2.00 4.00 6.00 8.00 per cent for the year, each on its own named base Both institutions finish the same year on 9.38 per cent of net worth
Rukmini Finance Limited runs net interest income of 7.70 per cent of its assets under management against 3.65 per cent on earning assets at Suvarna Commercial Bank Limited, and the two still end the same stated year on the same return on net worth.
Try it out

One lender earns 0.94 per cent on its assets and another earns 1.88 per cent on its assets. Which one earns more on equity?

Building a Comparable Companies Table teaches you to build a peer set you can defend and a multiple that means something.

Why can the same return on equity mean two different businesses?

Two lenders can land on the same return on equity and still be nothing alike.

Suvarna Commercial Bank Limited earned profit after tax of Rs 2,250 crore in the stated year. Over total assets of Rs 2,40,000 crore that is a return on assetsProfit after tax for the year divided by the assets held, so it says how much is earned per rupee of holdings. of 0.9375 per cent, printed as 0.94 per cent. Over net worth of Rs 24,000 crore the same Rs 2,250 crore is a return on equity of 9.375 per cent, printed as 9.38 per cent. Take that 0.9375 per cent, apply leverageAssets held for each rupee of net worth. Here it is Rs 2,40,000 crore divided by Rs 24,000 crore. of 10.0 times, and the equity figure follows.

Rukmini Finance Limited earned profit after tax of Rs 337.50 crore. Over assets under management of Rs 18,000 crore that is 1.875 per cent, printed as 1.88 per cent. Over net worth of Rs 3,600 crore it is 9.375 per cent, printed as 9.38 per cent. Same second figure. The first is twice the bank's and the leverage is half.

The two equity figures match for a reason, and an identical number left unexplained looks like somebody copied a row wrong. One institution earns half as much on each rupee it holds and carries twice as many rupees per rupee of net worth, and the two effects cancel to the last decimal. Rank the pair on the equity figure by itself and they are indistinguishable. Almost nothing about how they operate is alike.

One arithmetic warning, and it catches careful people. Multiplying the printed limbs gives the wrong answer. 0.94 multiplied by 10.0 is 9.40, and 1.88 multiplied by 5.0 is 9.40, and neither of those is 9.38. Nothing is wrong with the figures. Rounding a limb to two places before multiplying it by ten moves the product by more than the rounding itself. The exact limbs are 0.9375 and 1.8750, and the decomposition has to be done on those and printed alongside the reported ones.

Two routes to one number, and the equality is designed rather than coincidental SUVARNA COMMERCIAL BANK LIMITED 0.9375% on total assets x 10.0 times assets per rupee of net worth RUKMINI FINANCE LIMITED 1.8750% on assets under management x 5.0 times assets per rupee of net worth 9.375% on net worth, for the stated year printed at two places as 9.38 DO NOT MULTIPLY THE ROUNDED LIMBS 0.94 multiplied by 10.0 gives 9.40, and 1.88 multiplied by 5.0 gives 9.40. Neither is the reported answer of 9.38, because rounding a limb before multiplying it moves the product further than the rounding moved the limb.
One route runs 0.9375 per cent on assets through 10.0 times leverage and the other runs 1.8750 per cent through 5.0 times, and both arrive at 9.375 per cent of net worth for the stated year, whereas rounding each limb first and then multiplying delivers 9.40 on both routes and matches neither reported figure.

What was never there to work with?

Everything above sits inside a single period for two made up institutions, and the honest close to a worked instance is the list of things that were absent from it. Somebody who wants to push this arithmetic one step further needs to know which step is the last one.

What a reader reaches for nextWhether anything here supplies it
A second period, or any shorter stretch inside this oneAbsent. One period, and it does not repeat.
The advance book opened up by customer type or by industryAbsent, and a made up split would be indistinguishable from a counted one.
When each side of either balance sheet falls dueAbsent on both institutions.
Loans reworked, loans given up on, or any single borrowerAbsent, and no borrower is described anywhere.
How many offices or how many people do the workAbsent, so neither institution's staffing can be described.
What makes up the Rs 36,000 crore of bank assets that are neither advances nor investmentsThe total subtracts out. What sits inside it does not.
Interest expended attributed between the deposit base and everything else the bank owesAbsent, which is the whole reason the deposit figure above had to be a ceiling.

Two things hold together here, and both belong in the account rather than only the flattering one: the arithmetic closes to the rupee, and it reaches almost nowhere. Precision and reach are separate properties, and a worked instance earns trust by admitting the second while demonstrating the first. Nothing above turns into a rate for a different stretch of time. Nothing above is evidence about what any way of running a lender delivers. Two made up institutions cannot be typical of anything, so nothing above is typical.

What does anybody actually do with this?

Three habits fall out of this guide, and not one of them requires remembering a definition.

A credit analyst starts with the funding side, not the asset side. Given any lender, the first question is where the money came from and on what notice it may leave. The answer decides which shocks matter. Money repayable today with no notice and money contracted to a date fifteen months out behave nothing alike under the same bad news, and no ratio struck on the asset side will say which of the two is in hand.

An investor never reads a return on equity without splitting it. One figure, two ingredients. A lender that doubles the second and halves the first reports an unchanged number while becoming a completely different proposition. Ask for the return per rupee of assets and the assets per rupee of net worth before forming any view at all.

Anybody with a balance somewhere should know which door it sits behind. The moment an account behaves unexpectedly, the productive question is not what went wrong but who wrote the rule the institution was working to. The answer settles both where to take the matter and what the institution was obliged to do in the first place. Licensing and reserve conditions trace back to the Reserve Bank of India. A depositor's cover traces to the Deposit Insurance and Credit Guarantee Corporation. Knowing which is which turns a fortnight of wandering into an afternoon.

Two lenders on the same equity return, ranked as though they were the same thing

A reader meets Suvarna Commercial Bank Limited and Rukmini Finance Limited, finds both on 9.38 per cent of net worth for the stated year, and concludes they are equivalent businesses. The two are not remotely the same thing.

One earns 0.9375 per cent on every rupee of assets and holds 10.0 times its net worth in assets. The other earns 1.8750 per cent and holds 5.0 times. One funds itself with money repayable to households on demand at par and settles their payments out of the same balances. The other funds itself on dates in the market and settles nothing for anybody.

The specific cost of the error is not that the ranking is wrong today. The cost is that the reader has ranked on a figure carrying two ingredients and has seen neither, so a change in either one is invisible to them. A lender that doubles its leverage and halves its return per rupee of assets reports an unchanged number. Nothing in the figure moved. Everything behind it did.

Who walks into it: very nearly everyone. The equity figure is the one that gets quoted in public. Its two ingredients are almost never set down next to it. The price of walking into it: a comparison blind to the largest structural difference between the two institutions being compared.

The fix is one line. Never read a return on equity without its two limbs, the return on assets and the leverage, sitting in the same place.

Try it out

A lender doubles its leverage and halves its return per rupee of assets over the same year. What happens to its return on equity?

Where a commercial bank's definition stops

A commercial bank is defined by the three functions performed together, and the definition stops there. The deposit and lending products themselves are opened up separately. Judging a borrower, and deciding what to charge one, are covered separately. A lender that takes no deposits, as a business in its own right, is covered separately, and Rukmini Finance Limited appears here only as a contrast. The measures that generalise across every institution type rather than belonging to a bank, including how a margin is properly struck and what an interest income line is built from, are covered separately. The central bank set against a commercial bank is covered separately. Payments as a system are covered separately. Who may take a deposit repayable on demand, what cover sits beneath a depositor, what part of a deposit base may not be lent and what capital an institution must hold are all decided by the Reserve Bank of India, with cover at the Deposit Insurance and Credit Guarantee Corporation, and those names and addresses stand here in place of any figure.

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Where each blank row gets filled in

What it decidesWho decides itWhere to read it
Who may accept a deposit repayable on demand at par, and under what conditionsReserve Bank of Indiarbi.org.in check on the day it is needed
The cover that sits beneath a bank depositor, and what it does not reachDeposit Insurance and Credit Guarantee Corporationdicgc.org.in check on the day it is needed
What part of a deposit base may not be lent, and what liquidity is kept against the restReserve Bank of Indiarbi.org.in check on the day it is needed
The capital an institution must clear, and the buffers stacked above itReserve Bank of Indiarbi.org.in check on the day it is needed
Where the international version of a capital or liquidity idea came from, with the position here still set at homeBank for International Settlementsbis.org check on the day it is needed
Where a published banking series is looked up rather than rememberedReserve Bank of India databasedbie.rbi.org.in check on the day it is needed

Suvarna Commercial Bank Limited and Rukmini Finance Limited are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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