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019

Case 019Liquidity risk and ALMWarm up

A bank's branches raise one-year deposits at 6% and its lending unit makes three-year loans at 10%. Using the treasury's transfer pricing curve, split the 4 point margin between deposit gathering, lending and the maturity mismatch.

1The situation

Tarangiri Bank's branches raise one-year fixed deposits at 6%. Its lending unit makes three-year fixed-rate loans at 10%. The bank has Rs 1,000 crore of each on its books.

The central treasury runs a funds transfer pricing curve: it pays branches 6.5% for one-year money and charges the lending unit 7.3% for three-year money. Every rupee raised is sold to treasury and every rupee lent is bought from it. For the first pass, ignore credit losses, operating costs and liquidity premiums.

2Your task

How much of the 4 point margin does each unit earn, who carries the interest rate risk, and why does the split matter?

Quick check

Which unit earns the 0.8 point slice between the one-year and three-year transfer prices?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

The branches earn 0.5 points, the lending unit 2.7 points and the treasury 0.8 points for running the maturity mismatch. On Rs 1,000 crore that is Rs 5, 27 and 8 crore a year. The treasury also carries the interest rate risk: if one-year rates rise 1.5 points at renewal, its slice turns to minus 0.7 points while the other two units are untouched.

Step 1Why split one margin into three?

Imagine a family business where one sibling brings in customers' money, another makes the sales, and a third decides how to fund everything. If all profit is credited to whoever makes the sale, nobody values the sibling bringing in cheap money, and nobody notices the risk the funder takes. Funds transfer pricingAn internal price at which a bank treasury buys money from deposit-raising units and sells it to lending units, set by maturity so each unit is paid for its own contribution. gives each unit a price for money by maturity, so each is paid only for what it controls.

Step 2How is the 4 points divided?

The branches raise money at 6.0% and sell it to treasury at 6.5%: 0.5 points. The lending unit buys three-year money at 7.3% and lends at 10.0%: 2.7 points. The treasury buys at 6.5% and sells at 7.3%, earning 0.8 points for funding three-year assets with one-year money. The slices add to the 4.0 points between deposit and loan.

Transfer pricing shows who earns the margin and who carries the mismatch0.5 pts0.8 pts2.7 ptsBranches6.5 less 6Treasury7.3 less 6.5Lending unit10 less 7.36.0% deposit6.5% 1-yr FTP7.3% 3-yr FTP10.0% loanOn Rs 1,000 crore: branches Rs 5 crore, treasury Rs 8 crore, lending Rs 27 crore a year.If one-year rates rise 1.5 points at renewal, only the treasury's slice moves: to -0.7 points.
The transfer pricing curve splits Tarangiri's 4 point margin into 0.5 points for the branches, 0.8 points for the treasury's maturity mismatch and 2.7 points for the lending unit.
Step 3Who carries the risk if rates rise?

The treasury, and that is the point of the design. The loans are fixed for three years; the deposits reprice after one. If one-year rates rise 1.5 points at renewal, treasury must pay 8.0% for money it has already sold at 7.3%, and its slice turns from plus 0.8 to minus 0.7 points. The branches and the lending unit keep their margins, because they were paid against a curve locked on the day. The risk now sits with the one desk that can hedge it, for instance with interest rate swaps.

Say what the first pass left out. A real curve adds a liquidity premium for longer money, which raises the charge to the lending unit and pays the branches more for stable deposits. And the lending unit's 2.7 points must still cover credit losses and operating costs, so it is not all profit. The judgement for management is simple: without transfer pricing, the lending unit would report 4 points and look far better than it is, and the bank would reward it for a mismatch it does not carry.

Where candidates lose it

Candidates give the whole 4 points to lending, or split it evenly, and miss that the treasury earns and carries the maturity mismatch. The interviewer wants to hear who owns the interest rate risk.

The second miss is thinking transfer prices are just accounting. They change behaviour: price long money too cheaply and the lending unit will write long fixed loans the bank cannot fund safely.

What the interviewer asks next

  • How would you add a liquidity premium to the curve, and who pays it?
  • Branch deposits are mostly savings accounts that can be withdrawn any day but in practice stay for years. What transfer price do they get?
  • How would treasury hedge its mismatch with swaps?
← Case 018A trust with a portfolio already 70% in Indian equities asks how to allocate a new Rs 100 crore mandate across an equity fund, a credit fund and a multi-strategy fund. Show how the answer changes when you judge the whole portfolio rather than the mandate alone.Case 020 →A bank has a Rs 100 crore firm-wide VaR budget across rates, credit and equities desks whose standalone VaRs add to Rs 120 crore. Compute the diversified VaR and allocate the budget by component VaR.

Company names and figures are illustrative.

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