Case 062Currency derivatives and corporate FX hedgingCore
An exporter will receive USD 3 million in six months; the forward is 84.20. Compare the forward, a zero-cost collar of 82.50 and 85.50, and a seagull that also sells an 80.50 put to lift the cap to 86.50, at final rates of 79.00, 83.00 and 88.00.
1The situation
Nanemachi Seafoods exports frozen shrimp and will receive USD 3 million from a buyer in six months. Its costs are in rupees, so a stronger rupee on the receipt date is its main risk. The six-month forward is 84.20 rupees per dollar.
Its bank offers three hedges. A forward at 84.20. A zero-cost collar: Nanemachi buys a dollar put struck at 82.50 and sells a dollar call struck at 85.50, with the premiums offsetting. And a seagull: the same collar, plus Nanemachi sells a further dollar put struck at 80.50, and uses that premium to lift the call strike to 86.50, still at zero upfront cost.
2Your task
Work out the rupees received under each hedge, and with no hedge, if the rate on the receipt date is 79.00, 83.00 or 88.00, and say what the seagull trades away to get its higher cap.
Quick check
Before working it: at 79.00, how many rupees per dollar does the seagull deliver?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
The forward always gives 84.20, Rs 25.26 crore. The collar gives Rs 24.75 crore at 79.00, Rs 24.90 crore at 83.00 and Rs 25.65 crore at 88.00. The seagull gives Rs 24.30 crore, Rs 24.90 crore and Rs 25.95 crore. The seagull earns Rs 30 lakh more than the collar when the dollar rallies, and gives back Rs 45 lakh when the dollar falls to 79.00, because below 80.50 its floor turns into a fixed 2 rupees over the market.
Step 1What does each hedge deliver at the three rates?
Start with the forward, because it is the yardstick. Nanemachi sells USD 3 million at 84.20 whatever happens, so it receives Rs 25.26 crore in every scenario. The collar lets the rate float between 82.50 and 85.50 and pins it at the nearer strike outside that band; the seagull does the same inside the band, caps at 86.50 instead of 85.50, and below 80.50 stops protecting. The table works each structure at the three rates the treasurer asked about.
| Rate on receipt | No hedge | Forward 84.20 | Collar 82.50 / 85.50 | Seagull 80.50 / 82.50 / 86.50 |
|---|---|---|---|---|
| 79.00 | 23.70 | 25.26 | 24.75 | 24.30 |
| 83.00 | 24.90 | 25.26 | 24.90 | 24.90 |
| 88.00 | 26.40 | 25.26 | 25.65 | 25.95 |
Step 2Why does the seagull deliver less than the collar when the dollar falls?
A collar is like a car insurance policy with a fixed excess: past a certain point, the insurer pays everything. A seagull is the same policy with a payout limit: the insurer pays the first slice of damage and then stops, and the driver accepted the limit to get a lower premium on something else. Nanemachi's bought 82.50 put pays out as the rate falls, but its sold 80.50 put starts paying the bank once the rate goes below 80.50, so the protection stops growing at 2 rupees a dollar. At 79.00 that is 79.00 plus 2.00, which is 81.00, or Rs 24.30 crore, against the collar's Rs 24.75 crore. At 77.00 the gap would be wider still, because the collar holds 82.50 and the seagull drifts down to 79.00.
Step 3What did the extra rupee of upside actually cost?
The seagull raised the cap from 85.50 to 86.50, worth Rs 30 lakh on USD 3 million if the dollar ends above 86.50. It paid for that by giving up all protection below 80.50. For an exporter whose problem is a strong rupee, that is the wrong trade: it improves the outcome Nanemachi was not worried about and worsens the one it was. A seagull suits a company that has a budget rate well below 80.50 and is willing to treat a fall that far as a risk it can bear, or one that wants to look for upside and is honest that it is doing so. Zero-cost in the bank's description means zero upfront premium; the cost is in the strikes, and the bank's margin sits inside them.
Two limits of the comparison are worth saying. Each structure here is held to the receipt date; if the shrimp buyer pays late or pays less, the options are still live and the sold ones can create a loss with no dollars behind it. And the 84.20 forward already includes the interest rate difference between rupees and dollars, so the collar's 82.50 floor is 1.70 below what the company could lock today; a treasurer should compare every structure with the forward, not with the spot rate on the day.
Where candidates lose it
Candidates read the seagull as a collar with a better cap and stop there, because the third leg is easy to miss on a term sheet. Work the 79.00 line and the sold 80.50 put shows up as a red line under the collar.
The second miss is calling a zero-cost structure free. The premium is in the strikes: 82.50 is 1.70 below the forward, and that gap is what Nanemachi gives up for the chance of the cap.
What the interviewer asks next
- At what rate on the receipt date does the seagull give exactly the same rupees as the forward on the way down?
- The buyer may pay only USD 2 million. Which of the three hedges is most dangerous now, and why?
- How would you price the 80.50 put roughly, and what does that tell you about how much upside it can buy?
Company names and figures are illustrative.
