How a Repo Rate Change Reaches Borrowers and Investors

A policy rate change reaches an investor through a price and a borrower through a contract, and those two routes run on different clocks. A price moves the moment expectations move, and expectations can move before the decision is taken. A contract cannot move until its own reset date arrives, and that date was set by the paperwork rather than by the authority.

A rate decision and who takes it, what the policy rate corridorThe set of standing facilities a central bank keeps open, whose rates pen the overnight rate between a floor and a ceiling. Covered on its own, and only used here. does to the overnight rate, why a cut takes time to arrive at all, and how much of it arrives, are each covered separately. One such decision now leaves the building along two separate paths, and each path ends on somebody who did not attend the meeting.

The arrival is the part that goes missing: the date, the doorstep, the rupee amount. Somebody who has understood transmission perfectly and still cannot say when a household's own monthly payment changes has not finished, and stopping at the overnight rate is exactly where an account of transmission most often fails.

The Republic of Sankhya, an invented country built for teaching, holds every place, rate and arrangement below and trades nowhere. Its corridor runs from a deposit floor of 5.75 per cent through a policy rate of 6.00 per cent to a lending ceiling of 6.25 per cent, fifty basis pointsRates are quoted in hundredths of a percentage point, and each hundredth is one of these. Going from 9.50 per cent down to 8.72 per cent is a move of 78 of them. wide and even on both sides of the middle. Sankhya then cuts by 100 basis points, and that one cut is the only event worked through below.

What are the two routes out of one rate decision?

A rate decision leaves the room by two doors, and almost every confusion about who felt what and when comes from treating them as one door.

The first door is a price. Anything already bought and sold in a market has a price that people set by looking forward, and a rate decision changes what they are looking at. Nobody has to be instructed and no paperwork has to be opened. The price is nothing but the current opinion written down as a number. The moment the expectation changes, the price changes.

The second door is a contract. A loan is a written arrangement between two parties, and it names the day on which its rate may be recalculated. Until that day arrives, the rate in the contract is the rate in the contract. An announcement made on a Tuesday has no authority over a document that says the rate is looked at every twelve months in September.

The route through a price needs no contract to reset and no institution to act, and the absence of both is the whole reason it is faster. The route through a contract needs a change to reach the money marketThe market for very short borrowing and lending between institutions, mostly overnight. A policy rate change lands there first, and it is a wholesale market that households do not use. first, then reach the rates being offered on new lending, then wait for a particular document to come up for review. Three waits, stacked, before anything changes for the person paying.

How does the change actually reach a borrower?

Follow the Sankhya cut down the lower lane, station by station. The overnight money market reprices every night and has nothing to wait for, so within days 95 basis points of the announced 100 show up there. Reaching the rates quoted on new lending is far slower, and it comes in instalments of its own. One quarter in, 40 basis points have turned up. Two quarters in, 60. Three quarters in, 72. Four quarters in, 78, and there it stops. Twenty two of the announced basis points never reach new lending at all, and any honest account of the journey has to say so rather than quietly rounding the cut back up to a hundred.

Where the twenty two stop is a question about how a lender funds itself and prices what it sells, and banking and lending is where that question is settled. The arithmetic of arrival is what matters instead: anybody who assumes the full hundred lands will overstate the change by more than a fifth, every time.

Now put a household on the receiving end. A Sankhya household is twelve years into nothing in particular and holds a loan of Rs 30,00,000/- running for 20 years at 9.50 per cent, repaid on a reducing balanceA repayment method where interest each month is charged on the amount still outstanding, so the interest share of a fixed monthly payment falls as the balance falls. The mechanics belong with lending products. basis with a fixed monthly payment. The payment, called the instalmentThe single fixed amount a borrower pays each month, covering both interest for that month and a slice of the amount borrowed., works out at Rs 27,964/-. When 78 basis points of pass-throughThe share of an announced policy rate change that actually turns up in some other rate. Pass-through is measured rather than assumed, and monetary policy transmission is where it is covered. reach the contract, the rate becomes 8.72 per cent and the instalment becomes Rs 26,454/-.

So Rs 1,510/- comes off every month, and set against the Rs 27,964/- that was being paid before, that is 5.40 per cent of the payment, rounded to two decimals. Multiplied by the 240 months the loan still runs, the whole of it comes to Rs 3,62,400/-. The multiplication is worth doing rather than taking on trust. Every figure in it is printed above, and a total that cannot be rebuilt from the numbers in front of it is a total worth distrusting.

The borrower waited a full year to receive roughly three quarters of a cut that was announced in full on one morning. Nothing went wrong in that year. No institution behaved badly. The schedule above is what the journey looks like when everybody does exactly what the paperwork says.

How does the same change reach an investor?

The upper lane starts with something concrete. A lender has advanced a neighbour money on the understanding that the neighbour will hand over Rs 6,000/- every year for eight years and then hand back the Rs 1,00,000/- at the end. The arrangement was fair when everybody else was also paying about 6.00 per cent. Then rates fall, and the best anybody new can get is 5.00 per cent. The arrangement itself did not change. Everything it is compared against changed.

Building the same stream fresh at 5.00 per cent would cost more, so somebody who wants that stream of Rs 6,000/- payments has to buy it from the holder, and has to pay more than Rs 1,00,000/- for it. Worked on the Sankhya figures, the fixed payment holdingAnything bought once that then pays a stated amount on stated dates, with the amount written into the arrangement rather than varying with conditions. Priced and analysed under fixed income. that was worth Rs 1,00,000/- at 6.00 per cent is worth Rs 1,06,463/- at 5.00 per cent. The gain is Rs 6,463/-, or 6.46 per cent, rounded to two decimals.

The price is made out of what people expect rather than what has been signed, so the gain lands on the announcement itself, or before it. Nobody had to open a file. Nobody had to wait for a review date. The only thing that had to happen was for a large enough number of people to change their minds about what rates were going to be, and the change of mind can perfectly well come first.

Why an expectation about the future path of rates should govern a price today is a question about how expectations are formed and managed, and forward guidance is where that is settled. Only one consequence of it matters at the doorstep: the investor can be reached by a decision that has not yet been taken.

Why does a saver often feel a cut before a borrower does?

The ordering sounds unfair on first hearing, and is not. Consider one institution, one announcement, and two people who walk through the same door on the same morning. One is opening a new deposit. The other has been repaying a loan for years.

The person opening a deposit is signing a new arrangement today, so the rate written into it is whatever is being offered today. If the offer sheet changed the week after the announcement, that is the rate they get. The person repaying the loan signed years ago, and their rate is reviewed on the schedule their document names. Nothing about the announcement moves that date forward.

So the same institution can pass a cut to a new saver in a week and to an existing borrower in nine months, and the reason is a difference between a new contract and an old one rather than a difference in good faith. The saver is not being punished and the borrower is not being protected. Both are simply on the schedule they agreed to, and the announcement had no say in either schedule.

A number makes it concrete, and the number deserves an honest label. Suppose a Sankhya saver opens a new deposit of Rs 5,00,000/- and the offer on new deposits has come down by 60 basis points. Sixty basis points on Rs 5,00,000/- is Rs 3,000/- a year less, felt from the week the deposit is opened. The size of the move is an assumption rather than a figure carried from anywhere. The amount is not the lesson. The week is. The borrower next to them holds a loan reviewed once a year, with the review falling nine months out. Nothing changes for nine months, and then Rs 1,395/- a month comes off the instalment, by which point 72 of the 78 basis points had arrived.

What decides how much of the change reaches each position?

Two different questions, one for each lane, and they have almost nothing in common.

For the borrower, what decides it is the paperwork: what kind of rate the contract carries and when it next comes up for review. A contract whose rate floats gets the change eventually. A contract fixed for its whole term names no date on which its rate is looked at, so it does not get the change at all, ever, no matter how large the announcement or how complete the pass-through. A fixed contract is not a slow route to the borrower; it is no route at all.

For the investor, what decides it is how much of the change the price was already carrying. If people had spent two months becoming certain that a cut was coming, the price moved during those two months, and the announcement then confirms something already paid for. Pushed to its limit, that gives the sharpest result of all. The price had already carried the whole of a fully anticipated cut, so on the day it moves by nothing at all.

Run the Sankhya numbers across the range and the pattern is clean. The total move is always Rs 6,463/-. Only the day it lands on changes. If none of the cut was expected, the whole Rs 6,463/- arrives on the announcement. If half of it was expected, Rs 3,167/- had already arrived and Rs 3,296/- arrives on the day. If all of it was expected, Rs 6,463/- had already arrived and the announcement is worth exactly nil.

The last row changes how a news headline is read, and it rewards slow reading. An investor watching the price on announcement day sees nothing happen and concludes the decision did not matter. The decision mattered completely. It mattered earlier, during the weeks when people were making up their minds, and an authority that talks about its intentions in advance is therefore doing something rather than merely being polite. That talking is treated under forward guidanceAn authority saying in advance what it expects to do, so that expectations move before any decision is taken. Covered on its own; used here only for its consequence..

Where do the three positions sit on one timeline?

Put all three on the same axis, from the same Sankhya cut of 100 basis points, and the ordering is the finding. The investor first, on the day or before it, with Rs 6,463/- on a Rs 1,00,000/- holding. The saver next, from about a week later, with Rs 3,000/- a year less on a new Rs 5,00,000/- deposit. The borrower last, at month twelve if the review falls there, with the instalment on Rs 30,00,000/- over 20 years dropping from Rs 27,964/- to Rs 26,454/-, so Rs 1,510/- lighter every month thereafter.

Investor, saver, borrower: one decision, three arrival dates. The ordering holds for the same reason every time, and the reason is how new the arrangement is. A price is remade every second. A deposit opened this week is written this week. A loan signed years ago is looked at on the anniversary somebody chose years ago. Newness is the whole of the ordering, and it has nothing to do with who deserves what.

What does a lender see from the other side of the same cut?

Everything above was written from the doorstep. Turn around and stand inside. The person on the other side of both contracts is watching the same two clocks and cares about the gap between them.

A lender pays for the money it uses and charges for the money it lends, and those two prices sit on separate schedules. Each new deposit is a fresh arrangement, so new deposits reprice quickly. Existing loans reprice on their review dates, and those dates are scattered across the year. So after a cut, one side of the arrangement can move before the other, and the space between them, the marginThe gap between what a lender earns on what it lends and what it pays for the money it uses. How it is measured and managed belongs with banking and lending., widens or narrows purely on the order of arrival.

The same cut helps or hurts a lender depending on which of its two sides reprices first. An announcement that looks straightforwardly good for borrowers is therefore not straightforwardly anything for the institution in the middle. Where the funding side moves first, the space between the two opens up for a while. Where the lending side moves first, it closes for a while. Neither of those is a choice anybody made in response to the announcement; both are consequences of dates agreed long before it.

Why a lender sets the rates it sets, how it funds itself, and what it does about a gap that moves, are settled under banking and lending. The lender side of the same cut explains something a borrower notices: an institution passing a cut on its own schedule is following two sets of contracts, not making a judgement about any one customer.

What can actually be done with any of this?

Two facts, and then a hard stop.

The first fact is which position a person occupies, and most people occupy more than one. Holding a loan makes somebody a borrower. Money sitting in a deposit makes them a saver. Holding anything that pays a fixed amount makes them an investor. The three do not feel a decision at the same time, and a single household can be waiting nine months on one arrangement while another one has already moved.

The second fact is when the arrangement itself next comes up for review. The review date is not in any announcement, any headline or any commentary. The date sits in the household's own paperwork, and it is the only date that decides when a change arrives. Whether it is annual, quarterly or never is a property of the document that was signed.

Both of those are facts about a household's own arrangements, and knowing them is not the same as being told to change them. What anybody should hold, whether any arrangement should be replaced with a different one, and what any authority should do next are questions about personal financial decisions and about policy judgement, and they belong with material written for those purposes, by people qualified to write it.

Why did the announcement not change the instalment?

One failure sends people to a helpdesk more often than any other, and nothing in it is anybody behaving badly.

The Republic of Sankhya, its corridor and arrival schedule, the 20 year loan, the eight year holding and the new deposit are invented.
Educational material. Not advice on any investment, tax, budget or market position.