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029

Case 029Hedging a bookCore

A company hedged forecast dollar imports with forwards, but the imports came in well below forecast and the rupee strengthened. What did the excess cover cost, and why is it a speculative position?

1The situation

Lumirath Electronics imports components priced in dollars. At the start of the quarter its treasury forecast USD 20 million of imports and bought USD 20 million forward at Rs 84, locking the budget rate for the whole forecast.

Demand softened and actual imports came in at USD 12 million. By settlement the rupee had strengthened to Rs 81. Lumirath must still take delivery of all USD 20 million at Rs 84.

2Your task

What is the loss on the forwards, how much of it is offset by cheaper imports, what does the excess cover cost, and what policy would have prevented it?

Quick check

Which part of the forward loss has nothing offsetting it?

Worked solution

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

30-second answerThe answer to give first

The excess USD 8 million of cover lost Rs 2.4 crore, with nothing to offset it. The forwards lost Rs 6.0 crore in all, but Rs 3.6 crore of that is matched by imports costing less, so the budget rate held on USD 12 million. Once imports fell short, the extra cover became an open bet on the rupee weakening. Hedge a share of uncertain forecasts, and cut cover as soon as the forecast falls.

Step 1How much of the forward loss is a real loss?

Book a wedding hall for 300 guests at a fixed price, and then 180 turn up. The hall costs the same, and you have paid for 120 empty seats. A forward is a hedge only up to the size of the exposure behind it; beyond that it is a position. Lumirath's forwards lost Rs 3 on every dollar, Rs 6.0 crore on USD 20 million. On the USD 12 million of real imports, the goods cost Rs 81 instead of Rs 84, a saving of Rs 3.6 crore that cancels the forward loss. On the other USD 8 million there is no import, so Rs 2.4 crore is lost.

The hedge was 20, the exposure was 12: the extra 8 is a betForward bought12 matched8 excessUSD 20mImports actually paidUSD 12mnothing hereMatched 12m: forward loses Rs 3.6 crore, imports cost Rs 3.6 crore less. Net zero.Excess 8m: bought at 84, sold back at 81. Loss Rs 2.4 crore, nothing offsets it.USD million
Lumirath bought USD 20 million forward against USD 12 million of actual imports; the matched USD 12 million nets to zero, while the USD 8 million excess, bought at 84 and worth 81, loses Rs 2.4 crore with nothing to offset it.
Rs croreMatched USD 12mExcess USD 8mTotal
Forward: bought at 84, worth 81(3.6)(2.4)(6.0)
Imports cost 81 instead of the budgeted 843.6none3.6
Net against budget0.0(2.4)(2.4)
The Rs 6.0 crore forward loss splits into Rs 3.6 crore offset by cheaper imports and Rs 2.4 crore on the excess cover, which is Lumirath's actual loss against budget.
Step 2Why is the excess a speculative position rather than a bad hedge?

Look at what the excess pays in each world. If the rupee had weakened to 87, the USD 8 million bought at 84 would be worth Rs 2.4 crore more and treasury would have reported a gain. A position that gains when the rupee weakens and loses when it strengthens, with no exposure behind it, is a bet on the currency, whatever it was called when it was booked. That matters for governance: most treasury policies forbid speculation, and many firms lose hedge accountingAn accounting treatment that lets a hedge and the item it hedges be reported together, so their gains and losses offset; it requires the hedge to match a real, highly probable exposure. on the excess, so its loss hits reported profit directly.

The matched part is flat; the excess moves with the rupee-4-2+2+407881848790Rs crore against budgetRupees per dollar at settlementat 81: -2.4at 87: +2.4matched 12m: always 0excess 8m
Against the Rs 84 budget rate, the matched USD 12 million nets to zero at every settlement rate, while the USD 8 million excess loses Rs 2.4 crore at 81 and gains Rs 2.4 crore at 87, the profile of an open currency position.
Step 3What policy would have prevented it?

Three rules. First, hedge forecasts in layers: cover firm orders fully, and only a share of the uncertain forecast, larger for next month and smaller for later months. Second, re-measure the exposure every month and cut cover the moment the forecast falls. Suppose Lumirath knew imports would be USD 12 million with two months to go, when the forward rate was 83: closing the extra USD 8 million then would have cost Rs 0.8 crore instead of Rs 2.4 crore. Third, use options for the uncertain slice. An option costs a premium but can be left to lapse if the imports never come, so it cannot turn into an open bet.

The limitation of the layered approach is real: hedging less of the forecast leaves more of it exposed if the rupee weakens and imports do arrive. There is no free answer; there is a trade-off between the risk of being under-hedged on real imports and the risk of being over-hedged on imports that never come, and the policy should state which one the company fears more.

Where candidates lose it

The common error is to report the whole Rs 6 crore as the hedging loss. Rs 3.6 crore of it is the hedge doing its job: the imports that did happen cost exactly the budget rate.

The second is to call the Rs 2.4 crore bad luck with the currency. The loss came from a sizing decision, hedging 100% of an uncertain forecast, and a monitoring failure, not re-sizing when the forecast fell. The rupee only decided its sign.

What the interviewer asks next

  • What hedge ratio would you set for imports forecast three and six months out, and why different?
  • How would an option on the uncertain USD 8 million have changed the outcome, and what would it have cost?
  • The rupee had weakened to 87 instead. How should the treasurer report the Rs 2.4 crore gain?
← Case 028A bank pays the rupee leg of an FX trade in the morning and the dollars are due in the evening. The counterparty is shut by its regulator in the afternoon. What was the exposure, what is the risk called, and what would have removed it?Case 030 →An enhanced index fund with a 2% tracking error budget wants three stock overweights and a sector tilt. Compute the tracking error and check it against the budget.

Company names and figures are illustrative.

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