Case 068FinancialsCore
The policy rate is cut 50 bp. At Dhanvela Small Finance Bank 70% of loans reprice at once while term deposits reprice over a year. What happens to net interest margin over the next four quarters?
1The situation
Dhanvela Small Finance Bank has loans of Rs 20,000 crore yielding 18%, funded by Rs 18,000 crore of deposits costing 7.5% and Rs 2,000 crore of equity. 70% of loans are linked to an external benchmark and reprice the moment the policy rate moves; the rest are fixed-rate and do not reprice within the year.
80% of deposits are term deposits, maturing evenly across the year and renewed at the new rate. The other 20% are savings deposits whose rate Dhanvela keeps unchanged to hold on to customers. The policy rate is cut by 50 basis points and Dhanvela cuts term deposit rates by the full 50.
2Your task
Trace net interest margin quarter by quarter for a year, and say what the answer depends on.
Quick check
What happens to Dhanvela's margin in the first quarter after the cut?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
Net interest margin dips about 26 bp in the first quarter, from 11.25% to 10.99%, then recovers to about 11.26% by the fourth quarter. Loans reprice at once and cost Rs 70 crore a year of interest; term deposits reprice only as they mature, and at full pass-through save Rs 72 crore. If competition lets Dhanvela cut deposit rates by only 30 bp, the margin ends about 13 bp lower for good.
Step 1Why does the timing, not the size, drive the next four quarters?
A shop that cuts its selling prices today but keeps paying last month's rent for the next few months feels squeezed until the lease is renewed. A bank's margin moves with the gap in timing between its assets and its liabilities: whichever side reprices first sets the direction of the next few quarters. Dhanvela's external benchmarkA published rate, such as the policy rate, to which a floating loan’s interest rate is tied by contract, so the loan reprices automatically when the benchmark moves. loans reprice the day of the cut; its term deposits reprice only as each one matures.
Step 2How do the four quarters work out?
Loan yield falls by 70% of 50 bp, 35 bp, to 17.65%, straight away: Rs 70 crore a year less interest income. Term deposits are 80% of deposits, and a quarter of them reprice each quarter, so deposit cost falls 10 bp a quarter, to 7.1% after four. Margin drops to 10.99% in the first quarter and recovers 9 bp a quarter as deposits roll over, ending about 1 bp above where it started. The two sides nearly match in the end because Rs 72 crore of deposit savings offsets Rs 70 crore of lost yield.
| Before | Q1 | Q2 | Q3 | Q4 | |
|---|---|---|---|---|---|
| Loan yield | 18.00% | 17.65% | 17.65% | 17.65% | 17.65% |
| Deposit cost, full pass-through | 7.50% | 7.40% | 7.30% | 7.20% | 7.10% |
| NIM, full pass-through | 11.25% | 10.99% | 11.08% | 11.17% | 11.26% |
| NIM, 30 bp pass-through | 11.25% | 10.95% | 11.01% | 11.06% | 11.12% |
Step 3What does the answer depend on?
Three things, in order. The share of floating loans: the higher it is, the sharper the dip. The maturity profile of term deposits: shorter deposits shorten the dip. And how much of the cut Dhanvela can pass to depositors, which for a small finance bank competing for deposits against larger banks may be less than the full 50 bp. At 30 bp the margin settles about 13 bp below where it started, a permanent cost of about Rs 27 crore a year. The limitation: fixed-rate microfinance loans reprice as they run off over the following year, which would pull margins down further in year two.
Where candidates lose it
The common loss is saying rate cuts are good for banks because deposits get cheaper, and giving a single answer for the year. The question asks for a path, and the path starts with a dip.
The other is assuming deposits reprice as fully as loans. For a bank that pays up to attract depositors, the pass-through on deposits is the real uncertainty.
What the interviewer asks next
- How would the path differ for a bank with 30% floating loans and short deposits?
- What happens to the margin in year two as the fixed-rate loans run off?
- How would you read management guidance that margins will be stable through the cycle?
Company names and figures are illustrative.
