Case 096Risk limits and drawdownsHard
Birkan Capital's book is 20% net long Indian banks and 10% net short IT services. Run a stress scenario in which the rupee falls 8% and rates rise 100 basis points, using bank sensitivities of minus 1.5% per 10 basis points and IT sensitivities of plus 0.8% per 1% rupee fall. What does the book lose and which hedge helps most?
1The situation
Birkan Capital runs a Rs 5,000 crore long-short book. Its largest net exposures are 20% of NAV net long Indian banks, on a view that credit growth is accelerating, and 10% net short IT services, on a view that deal wins are slowing. The rest of the book is close to flat.
The risk team's scenario is a currency scare: the rupee falls 8% against the dollar and the central bank lifts rates by 100 basis points to defend it. Historical sensitivities say bank stocks fall about 1.5% for each 10 basis points of rate rise, and IT exporters rise about 0.8% for each 1% the rupee falls. Assume no other cross-effects for the first pass.
2Your task
What does the book lose in the scenario, which leg drives it, and which hedge would help most?
Quick check
The book is long one sector and short another. In this scenario, what happens?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
The book loses about 3.64% of NAV, Rs 182 crore, and both legs lose together. Rates up 100 basis points take banks down 15%, costing 3.0%; the rupee's 8% fall lifts IT 6.4%, and the IT short loses 0.64%. The rates leg is 82% of the damage, so a rates hedge, paying fixed on interest rate swaps, helps most while keeping the bank stock picks.
Step 1How do you run the scenario, leg by leg?
Exposure times sensitivity times shock, for each leg. Banks: 100 basis points at minus 1.5% per 10 is a 15% fall, on 20% of NAV that is minus 3.0%. IT: an 8% rupee fall at plus 0.8% per 1% is a 6.4% rise, on a 10% short that is minus 0.64%. In rupees that is Rs 150 crore and Rs 32 crore, Rs 182 crore in all. A stress testA calculation of what a portfolio would lose in one specified bad scenario, using its sensitivities to each shock, rather than a statistical average. is only this arithmetic, done before the day rather than after it.
Step 2Why does a long-short book lose on both sides?
Think of a household with a salary in rupees and a loan in dollars, and a second earner whose bonus is cut when rates rise. On an ordinary day the two incomes look unrelated; in a currency crisis both go wrong at once. Birkan's two legs look like diversifiers, but a falling rupee and rising rates arrive together, and that single event hurts the bank long and the IT short at the same time. The scenario is coherent, which is what makes it worth running: central banks do raise rates to defend a falling currency.
| 20% | net long banks, share of NAV |
| -1.5% x 10 | bank move for 100 basis points |
| -10% | net short IT, share of NAV |
| 0.8% x 8 | IT move for an 8% rupee fall |
Step 3Which hedge helps most, and how big is it?
Hedge the biggest line with the instrument that matches its driver. The bank leg loses Rs 150 crore for 100 basis points, Rs 1.5 crore per basis point; paying fixed on interest rate swaps with an assumed Rs 4.5 lakh of sensitivity per basis point per Rs 100 crore needs about Rs 3,333 crore of notional. That removes 3.0 of the 3.64 points and keeps every bank stock. The IT leg's rupee risk can be offset by buying about Rs 400 crore of dollars forward. A short in the bank index would also cut the loss, but it would throw away the stock picking that is the reason for the bank position.
Step 4What does this stress leave out?
Plenty, and the answer should say so. Banks have their own rupee exposure through foreign borrowing, IT valuations fall when rates rise, and sensitivities estimated from calm years understate moves in a crisis. A stress is a lower bound built from assumptions, so the useful output is not the 3.64% but the discovery that the book's two largest bets share a single driver. Close with a decision: put a rates hedge on the bank leg sized to the stress, and set a limit on combined loss in this scenario so the book cannot drift back into it.
Where candidates lose it
The usual miss is netting the long and short as if they must offset. They offset only if they move in the same direction in the scenario, and here the scenario pushes them in opposite directions from what the book needs.
The second is proposing to cut the bank position to fix the risk. That throws away the stock view; the interviewer wants to hear a hedge of the rate factor that leaves the stock picks in place.
What the interviewer asks next
- Rates rise 100 basis points but the rupee is flat. What is the loss now?
- How would you estimate the bank sensitivity of minus 1.5% per 10 basis points, and how much would you trust it?
- The swap hedge loses money if rates fall. What does that do to the book in a rally?
Company names and figures are illustrative.
