Savings Accounts: How the Rate, the Float and the Costs Work

A savings account pays interest on the balance held each day rather than the balance at the end. The bank adds up what sat there daily, applies its published rate and credits the interest on its stated cycle. From the other side of the same account those balances are among the cheapest money the bank holds, and the cheapness of that money is why the rate is low and the account costs its holder little to run.

A savings account rests on one substitution, and the substitution is worth putting plainly before anything else. Interest is a price for the use of money over time. So the quantity it has to be worked on is money multiplied by days, never money on its own. Every feature of a savings account that surprises people, and the whole of the account's value to the bank, falls out of that single change of quantity.

Here is the everyday version. A room let by the night is paid for by the nights it was occupied. A room that stood empty for twenty nights and full for ten has not earned what the reverse would have earned, however identical the two look on the last morning at the door. Nobody finds that surprising about a room. The statement prints the last morning and prints nothing at all about the twenty nights. So the same arithmetic applied to a bank balance surprises almost everybody.

The same month run through that arithmetic twice, with the credit landing early and then late, shows the whole of the effect. Turning the account over shows what the balances are to the bank, and seven requirements decide the rest.

What is a savings account, taken as a deposit type rather than as a product?

A savings account is a demand depositMoney placed with a bank that the holder can call back whenever they ask, with no notice period and no fixed end date attached to it. that pays interest. The definition is that short, and both halves of it are load bearing. The money is repayable whenever the holder asks for it, and while it sits there it is priced. Holding both properties at the same time is what makes the account unusual. The money can walk out at any moment and still earns something while it stays.

Almost every other place money can sit gives up one of the two. Cash in a drawer is available instantly and earns nothing. Money handed over until a named date earns more and cannot be had back before that date without unpicking the arrangement. The savings account is the awkward middle, and it is awkward for the bank rather than for the holder. Most people expect the awkwardness to run the other way.

The shape of that pairing is worth holding in mind. Everything that follows is a consequence of it. The rate is low because of it. The charges exist because of it. The pairing decides what the bank can safely do with the balances. None of what follows is a policy choice dressed up as arithmetic: the rate, the charges and the use the bank makes of the money are all downstream of holding those two properties together.

How is the interest actually worked out?

Most readers have this mechanism wrong, and having it wrong is completely reasonable. Nothing a holder is shown makes the right version visible. The bank does not look at the balance at the end of the period. The bank takes the balance held on each day, adds those daily balances together across the whole period, and works the interest on that total.

Put it the way that makes it click: what earns interest is not the money, it is the money multiplied by the number of days it was there. A rupee that sat for thirty days counts thirty times. A rupee that arrived on the thirtieth counts once. The two are the same rupee and are not the same quantity, and the account is measuring the quantity rather than the rupee.

Consider an ordinary salaried month. A balance of Rs 10,000/- runs into a thirty day month, and one credit of Rs 60,000/- arrives during it, taking the balance to Rs 70,000/-. The credit lands on day 5. The balance is then Rs 10,000/- for 4 days and Rs 70,000/- for 26 days. Four lots of Rs 10,000/- is Rs 40,000/-, twenty six lots of Rs 70,000/- is Rs 18,20,000/-, and the two add to a daily total of Rs 18,60,000/-. Divided by the 30 days, the average daily balance is Rs 62,000/-.

The picture does what the sentence cannot. The dashed line sits below the top of the block, and the distance between them is the whole of the misunderstanding. How the calculation must be done and how often the interest must actually be paid are both set by the Reserve Bank of India, at rbi.org.in. Both requirements move, and a rate or a cycle quoted from memory does not drift gently out of date. The quoted figure goes plainly wrong on the day the requirement changes.

A holder is actually handed something else. A statement prints the movements and prints a closing balance at the foot, in the largest type on the document. The statement does not print the sum of the daily balances. The sum exists, the interest was worked on it, and there is no line on the document where it can be read off.

Why does the shape of the month beat the closing figure?

Now run the same month again with one thing changed. Same opening balance of Rs 10,000/-, same single credit of Rs 60,000/-, same thirty days, and the credit arrives on day 25 instead of day 5. The balance is Rs 10,000/- for 24 days and Rs 70,000/- for 6 days. Twenty four lots of Rs 10,000/- is Rs 2,40,000/-, six lots of Rs 70,000/- is Rs 4,20,000/-, and the daily total is Rs 6,60,000/-. Divide by 30 and the average daily balance is Rs 22,000/-.

The closing balance is Rs 70,000/- in both months. Same money went in, the same money is sitting there on the last morning, and the base that interest is computed on differs by Rs 40,000/-. The Rs 40,000/- difference is not a rounding artefact or a special case. Counting days ordinarily produces it.

Where does the Rs 40,000/- go? Nothing mysterious swallows it. Moving the credit twenty days later means Rs 60,000/- was absent for twenty of the thirty days it would otherwise have been present for. Twenty days of Rs 60,000/- is Rs 12,00,000/- of daily total, and spread across the thirty days of the month that is exactly Rs 40,000/- of average daily balance. The entire difference between the two months is twenty days of one credit divided by the length of the month, and nothing else is involved at all.

There is a half of this that gets skipped, and it matters more than the arithmetic. The mechanism is counting days and knows nothing whatever about why a balance was low. A household whose salary arrives and is largely spent by the middle of the month has a lower daily total than one whose salary sits untouched, and that is a statement about days rather than about the household. Nothing in the calculation is a judgement, nothing in it is a reward for restraint, and reading it as either is reading a counter as an opinion.

What are those balances worth to the bank?

Turn the account over. The same balance that is a claim to the holder is fundingMoney a bank has taken in and can put to work, as against the money it has lent out. It sits on the liabilities side of the bank's own balance sheet. to the bank: money it has taken in and can lend. Gathered in small amounts from very many holders, it is among the cheapest money a bank raises anywhere. An account has two sides and both are arithmetic.

The property that makes these balances valuable is not the one people expect. Each balance is small, so size is not the property. The money is the opposite of committed, so commitment is not the property either. Any single balance can leave at any moment, and yet the total across very many holders is far steadier than any one of them, and it is the steadiness of the total that the bank is actually funding with.

The shape is familiar from elsewhere. Ten shops sharing one delivery driver do not all call at once, so none of them needs a driver on standby. A wedding caterer cooking for four hundred does not cook four hundred separate decisions; some guests skip the sweet and some take two, and the total is predictable in a way no single plate is. The bank is doing the same counting, on accounts instead of plates.

A figure can be put against it. Suvarna Commercial Bank Limited, an invented bank, holds current and savings balances of Rs 80,640 crore against deposits of Rs 1,92,000 crore, or 42.0 per cent. The remaining Rs 1,11,360 crore sits in other kinds of deposit. The current and savings balances are the pool described above, and they are the cheapest money on that side of the balance sheet.

The reported line combines current accountsAccounts held mainly for making and receiving payments rather than for holding money; the comparison with savings accounts is covered separately. with savings accounts, and this record does not break the pair apart. So the savings balances alone are no more than Rs 80,640 crore. The number is a ceiling rather than a measurement, and nothing finer than that is available. The same absence bites again on the cost side: this record reports one interest expended figure for the whole of the bank and does not attribute any part of it to one kind of deposit, so no cost of savings balances can be worked out here and none is offered. Naming an absence is the honest move. Filling it manufactures a figure with the surface of a disclosure and none of its backing.

What does running the account cost, and who pays for what?

Two costs sit on the bank's side of a savings account and they are different in kind. The first is the interest it pays, a price for the use of the money that rises directly with the balance. The second is the cost of running the accountWhat the record keeping, the statements, the branch or application, and the people who answer a query cost a bank, whatever balance the account happens to hold.: keeping the record, producing the statements, maintaining the counter or the application, and paying the people who answer when something goes wrong.

The running cost exists whether or not the balance is large, and it is the arithmetic behind every charge attached to an account anywhere. An account holding a small balance and an account holding a large one need the same record, generate roughly the same statements and take about the same effort to support. The interest bill on the two is wildly different. The running cost on the two is nearly identical.

Requirement rather than arithmetic settles what follows from that flat line. Whether a bank may require a minimum balance at all, whether it may charge for a shortfall, what it must disclose to a holder about any charge, and the terms of the basic accountAn account a bank is required to offer on terms the regulator sets rather than terms the bank chooses, so that the ordinary charges on an account cannot become a barrier to having one. a bank must offer: all four of those sit with the Reserve Bank of India, at rbi.org.in. Every one of those requirements moves, and a value copied from memory becomes incorrect on the day the requirement changes rather than merely dated.

Why is the rate on a savings account low?

The point is arithmetic rather than a complaint. Money that can be taken back at any moment is priced below money with a date attached. The trade is the one set out under deposits, seen from the holder's side of the counter instead of the bank's, and the lower rate is the price of the property that makes the account useful in the first place.

The holder is being paid for the use of the money and is paying, in a lower rate, for the right to take it back without notice. Both halves of that sentence are real. The right to withdraw at any moment has value, that value is not free, and the way it is charged for is a rate lower than a term depositA deposit with an end date written into it. The money is committed until that date arrives, which is exactly the freedom a savings account keeps hold of. would pay on the same money.

No general answer says whether that trade is worth making. Whether immediate access is worth a lower rate depends on the purpose of the money, when it might be needed, what else is available and what happens if it is not there on the day it is wanted. Every one of those is a fact about a particular holder, and an answer given without them would be an answer with the decisive facts missing.

What happens when either side does not perform?

Both sides of this account can fail to do what the arrangement expects, and both lists are ordinary. From the holder's side: a payment fails on the day it was due, a balance falls below whatever the account requires, an account goes unoperated for a long stretch, or an account is frozen on an instruction that came from neither the holder nor the bank. From the bank's side: interest credited late, interest credited on the wrong base, a charge applied that was never disclosed, or a statement that does not agree with what the account actually did.

Both lists have exactly the same shape: a stated route, and a grievance path standing behind it. There is a first place to raise the matter and there is somewhere to go when the first place does not resolve it, and how the calculation must be done, what may be charged, what must be disclosed and where the grievance routeThe stated path a holder follows when a matter is not resolved at the first place they raised it, including who has to be told and in what order. runs are all the Reserve Bank of India's to set, at rbi.org.in.

None of these situations is a verdict about anybody, and not one of the routes is obvious. A frozen account is not a finding about the holder. A late credit is not a finding about the bank. The route exists and is written down somewhere, and nothing about holding the account shows where. The places where those answers live are named below.

Who sets the rate, the charges and the calculation?

Seven requirements decide how a savings account actually behaves. Each one is named below, together with the authority that sets it. Every one of these moves, and a row filled from memory hands a reader something that looks finished on exactly the day it stops being true. Each row below is a blank to be filled in from the authority named beside it, and a blank keeps working after a requirement has moved.