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093

Case 093Margin, clearing and risk limitsCore

A collateral agreement has a threshold of Rs 5 crore, a minimum transfer of Rs 50 lakh and rounding to Rs 10 lakh. The amount owed to the bank over five days is Rs 3.2, 5.8, 6.1, 9.4 and 7.0 crore. What collateral is called or returned each day?

1The situation

Rohida Bank has a portfolio of swaps with a corporate client under a collateral agreement, a credit support annex. The client must post cash for whatever it owes above a threshold of Rs 5 crore. No transfer is made unless it is at least Rs 50 lakh, the minimum transfer amount, and transfer amounts are rounded to the nearest Rs 10 lakh, calls rounded up and returns rounded down. No collateral is held at the start.

Over five days, the portfolio's mark-to-market owed by the client to the bank is Rs 3.2, 5.8, 6.1, 9.4, 7.0 crore. You are in the collateral team and must say what is called or returned each day.

2Your task

What is called or returned each day, and how much exposure is uncollateralised after each call?

Quick check

On day three the amount owed rises from 5.8 to 6.1 crore. What happens?

Worked solution

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

30-second answerThe answer to give first

Nothing on day one, a Rs 0.8 crore call on day two, nothing on day three, a Rs 3.6 crore call on day four and a Rs 2.4 crore return on day five. Each day, required collateral is the amount owed less the Rs 5 crore threshold, floored at zero. The transfer is required less held, made only if it is at least Rs 50 lakh. Uncollateralised exposure stays at about the threshold, rising to Rs 5.3 crore on day three because of the minimum.

Step 1What are the three numbers in the agreement for?

Picture a landlord who lets a tenant run up to one month's rent in arrears before asking for anything, never sends a bill for less than a few hundred rupees, and rounds every bill to the nearest hundred. The thresholdThe amount of exposure one side agrees to carry unsecured before the other must post collateral. is unsecured credit the bank is willing to extend; the minimum transfer stops collateral moving back and forth for small amounts; rounding keeps the payments clean. Each one leaves the bank with a little more exposure than the bare mark-to-market would suggest, and each one is a deliberate trade of risk for operational sense.

Step 2How do you work each day?

Use the same three steps every day. Required is the amount owed less 5, never below zero. Compare it with what is held. Move the difference only if it is at least 0.5, rounding a call up and a return down to the nearest 0.1. Day one: 3.2 is under the threshold, nothing is required. Day two: required 0.8, held 0, call 0.8. Day three: required 1.1, held 0.8, shortfall 0.3, under the minimum, nothing moves. Day four: required 4.4, held 0.8, call 3.6; day five: required 2.0, held 4.4, return 2.4. Rounding never bites here because the amounts already fall on Rs 10 lakh; had day two's amount owed been 5.83, the 0.83 shortfall would have been called as 0.9.

DayOwed to bankRequiredHeld beforeShortfall or excessActionHeld afterUnsecured
13.20.00.0+0.0nothing owed0.03.2
25.80.80.0+0.8call 0.80.85.0
36.11.10.8+0.3no call, under minimum0.85.3
49.44.40.8+3.6call 3.64.45.0
57.02.04.4-2.4return 2.42.05.0
Rs crore. The bank calls Rs 0.8 crore on day two and Rs 3.6 crore on day four, makes no call on day three because the Rs 0.3 crore shortfall is under the Rs 0.5 crore minimum, and returns Rs 2.4 crore on day five.
Exposure against the threshold, and the collateral that follows it2468100Day 1under threshold0.8Day 2call 0.80.8Day 3no call4.4Day 4call 3.62.0Day 5return 2.4threshold 5.03.25.86.19.47.0line: amount owed to the bank, Rs crorebars: collateral held after the day's call
The amount owed rises from Rs 3.2 crore to Rs 9.4 crore and back to Rs 7.0 crore, and collateral held steps from zero to Rs 0.8 crore, stays there on day three, jumps to Rs 4.4 crore on day four and falls to Rs 2.0 crore on day five, so the bank's unsecured exposure stays close to the Rs 5 crore threshold.
Step 3What exposure is the bank really carrying?

Look at the last column. After each day's transfer the unsecured amount is 3.2, 5.0, 5.3, 5.0 and 5.0 crore. The threshold sets the floor of the bank's unsecured risk, and the minimum transfer can push it above that floor by up to Rs 50 lakh. There is a third, hidden piece: a call made today is usually settled the next business day or later, and if the client defaults in between, the bank has the exposure of a further move during that gap. That is why credit teams size the threshold, the minimum and the settlement lag together rather than one at a time.

A sharper answer adds the direction of the agreement. If the client were owed money, the same mechanics would run in reverse and the bank would be the one posting. Many agreements set different thresholds for the two sides, often zero for the stronger party. The limit of this exercise is that it treats the mark-to-market as agreed; in practice the two sides can dispute the valuation, and a disputed call delays collateral exactly when markets are moving most.

Where candidates lose it

The common loss is calling the whole amount above the threshold each day rather than the change against what is already held. On day four that gives a call of 4.4 instead of 3.6 and double-counts the 0.8 already posted.

The second is forgetting the minimum transfer on day three and calling Rs 30 lakh, or applying it to the total held rather than to the day's movement.

What the interviewer asks next

  • What would day three look like if the minimum transfer were Rs 20 lakh?
  • The client disputes the day four valuation by Rs 1 crore. What is transferred while the dispute is resolved?
  • Why might a bank accept a high threshold from one client and demand zero from another?
← Case 092A family office expects the bank index, at 48,000, to stay between 47,000 and 49,000 for two weeks. Compare selling the 46,500 put and 49,500 call for 180 points with adding 46,000 and 50,000 wings for a net 120, at 45,000, 48,000 and 51,500.Case 094 →A fund is long an at-the-money straddle position with gamma of 1,500 shares per rupee and theta of Rs 45,000 a day, rehedged at each close. Closes run 800, 812, 805, 790, 798, 801. Estimate each day's P&L and the week's.

Company names and figures are illustrative.

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