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023

Case 023Currency derivatives and corporate FX hedgingCore

An exporter sold USD 2 million forward at 83.60 for this week, but the buyer will pay a month late. Spot is 84.40 and one-month forward points are plus 0.25. Cancel and rebook: what is the cash flow today, and what effective rate is achieved?

1The situation

Months ago Korigad Exports sold USD 2 million forward to its bank at 83.60, maturing this week, against a shipment to an American buyer. The buyer has now said payment will arrive a month late. The rupee has weakened since the forward was booked: spot USD/INR is 84.40, and one-month forward points are plus 0.25.

The company cannot deliver dollars it does not have, so the bank offers to cancel the existing forward at today's spot and book a new one-month forward. Ignore the bank's spread for the first pass.

2Your task

What does cancelling the forward cost or pay today, at what rate is the new forward booked, and what effective rate does the company end up with on its USD 2 million?

Quick check

Before computing: when the company cancels a forward sale at 83.60 with spot at 84.40, does it receive or pay cash today?

Worked solution

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

30-second answerThe answer to give first

Cancelling costs Rs 16 lakh today, 0.80 a dollar on USD 2 million, and the new forward is booked at 84.40 plus 0.25, 84.65. In a month the company delivers the dollars for Rs 16.93 crore; less the Rs 16 lakh paid today, it nets Rs 16.77 crore, an effective 83.85. That is the original 83.60 plus the 0.25 of forward points for the extra month, so the hedge still protected the budget rate; the cost is cash out today and a month of funding on it.

Step 1Why does cancelling cost money today?

If you promised to sell a friend your bicycle for Rs 8,360 next week and the market price is now Rs 8,440, getting out of the promise costs you the Rs 80 difference. The company's forward obliges it to sell USD 2 million at 83.60; with spot at 84.40, closing that obligation means buying the dollars at 84.40 and delivering them at 83.60, a loss of 0.80 a dollar, Rs 16 lakh, paid today. That loss is not new: it is the mirror of the gain the company has on its unhedged dollars, which are worth 0.80 more in rupees than when the forward was booked. The cancellationClosing out a forward before or at maturity by doing the opposite trade at the current rate. The difference between the two rates is settled in cash. just turns it into cash now, before the dollars arrive.

The relationship
Cancel=(84.40−83.60)×2,000,000=1,600,000Fnew=84.40+0.25=84.65\text{Cancel} = (84.40 - 83.60) \times 2{,}000{,}000 = 1,600,000 \qquad F_{new} = 84.40 + 0.25 = 84.65
84.40spot, the rate at which the old forward is closed
83.60the rate on the original forward sale
0.25one-month forward points, reflecting the interest gap between the rupee and the dollar
What it says in wordsCancelling at spot crystallises the 0.80 a dollar the old forward has lost; the new forward adds one month of points to today's spot.
Cancel at spot, rebook a month out: the effective rate is the old rate plus the pointsMonths agosell USD 2 m fwd at 83.60Todaybuyer is a month lateOne month ondollars arrive1. Cancel the old forward at spotbuy USD 2 m at 84.40, deliver at 83.60pay Rs 16 lakh today0.80 x USD 2 million2. New forward84.40 + 0.25 = 84.65Rs 16.93 crorereceived in one monthNet 16.93 crore - 0.16 crore = Rs 16.77 crore on USD 2 m: an effective 83.85 = 83.60 + 0.25
Cancelling the 83.60 forward at 84.40 costs Rs 16 lakh today and the new one-month forward at 84.65 brings Rs 16.93 crore when the dollars arrive, a net Rs 16.77 crore, which is an effective 83.85, the original 83.60 plus 0.25 of forward points.
Step 2What effective rate does the company end up with?
Cash flowWhenRateRs
Cancel old forward: buy at spot, sell at 83.60Today-0.80-16,00,000
New forward: deliver USD 2 mIn one month84.65+16,93,00,000
Net83.8516,77,00,000
The Rs 16 lakh paid today and the Rs 16.93 crore received in a month net to Rs 16.77 crore on USD 2 million, an effective rate of 83.85.

Put the two cash flows together. The new forward pays Rs 16.93 crore in a month; take off the Rs 16 lakh paid today and the company nets Rs 16.77 crore for its USD 2 million, an effective 83.85. That is exactly the original 83.60 plus the 0.25 of points, which makes sense: the company has extended a sale at 83.60 by a month, and a month of extension is worth the forward points. Strictly, the Rs 16 lakh leaves a month before the dollars arrive; at a 7% funding cost that month costs about Rs 9,333, which trims the effective rate to about 83.845. The hedge did its job: the rupee weakened, the company gave up that gain on the hedged dollars, and its budget rate held.

Step 3What else would you check with the bank?

Three practical points separate a candidate who has done this from one who has read about it. The bank will cancel at its own buying rate for dollars, not the mid, and book the new forward at its selling rate, so both legs carry a spread and the effective rate will be a few paise worse than 83.85. Some banks offer an early or late delivery on the existing contract instead, an extension at a rate that rolls the old price forward; whether that is allowed, and how the cost is booked, depends on the central bank's rules for hedging contracts, which change and should be confirmed for the current year rather than assumed. And the Rs 16 lakh cash outflow today may matter more to a small exporter than the rate: a CFO short of working capital would want to know it before saying yes.

Say the limit of the working: if the rupee had strengthened instead, say spot at 83.00, the cancellation would have paid the company 0.60 a dollar today and the new forward would have been booked lower, and the effective rate would again come out at about 83.60 plus the points. The arithmetic does not depend on where spot moved, which is the whole point of the hedge.

Where candidates lose it

Candidates treat the cancellation as a gain because the rupee has weakened, reasoning that a weaker rupee helps an exporter. It helps the unhedged dollars; the forward sale at 83.60 is a liability at 84.40, and closing it costs Rs 16 lakh.

The second loss is reporting the new forward at 84.65 as the company's rate and forgetting the cancellation cost. The effective rate is 83.85, the old rate plus the points, and an answer of 84.65 overstates the company's rupees by Rs 16 lakh.

What the interviewer asks next

  • Spot had moved to 83.00 instead. Work out the cancellation cash flow, the new forward and the effective rate.
  • The buyer may pay at any time within the next month. What kind of forward would you book instead?
  • Why are one-month USD/INR forward points positive, and what would make them shrink?
  • The company's auditors ask why the hedge shows a Rs 16 lakh loss. How do you explain it?
← Case 022On a Rs 1,000 stock, compare a covered call, a protective put and a long straddle over three equally likely outcomes of 850, 1,000 and 1,150. Which makes more money on average, which has the more volatile P&L, and where does each come from?Case 024 →An airline hedging 60,000 tonnes of jet fuel with 1,000-barrel crude futures gets a regression of jet fuel price changes on crude futures changes: slope 0.71, standard error 0.08, R-squared 0.64, 36 observations. Read it, set the hedge, and say how much risk it removes.

Company names and figures are illustrative.

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