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097

Case 097Currency derivatives and corporate FX hedgingHard

A power company borrows USD 100 million for five years at a floating dollar rate plus 1.8% and swaps it into a rupee fixed rate of 8.9%, with principal exchanged at 83.00. Lay out the cash flows, and compare the rupee cost of repaying principal unhedged if the rupee falls to 95.

1The situation

Rangpo Hydro Power earns all its revenue in rupees. It has raised a five-year loan of USD 100 million from an overseas lender at a floating dollar rate plus 1.8%, paid yearly, with the principal due at the end. Its treasurer has been offered a cross-currency swap by a bank: principal exchanged at 83.00 at the start and at the end, the bank paying the dollar floating rate plus 1.8% on USD 100 million, and the company paying 8.9% fixed on the rupee principal.

For the comparison, assume the dollar floating rate stays at 5.0%. The board asks what the swap does, what it costs, and what happens without it if the rupee weakens steadily to 95 by maturity. Rules on hedging foreign currency borrowing change from time to time; confirm the current requirements before relying on this structure.

2Your task

What are the swap's cash flows, and how does the five-year rupee cost compare with leaving the loan unhedged?

Quick check

Without the swap, how much more does repaying USD 100 million cost in rupees if the rupee moves from 83 to 95?

Worked solution

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

30-second answerThe answer to give first

The swap turns the dollar floating loan into a Rs 830 crore loan at 8.9% fixed, about Rs 73.87 crore a year, and removes a Rs 120 crore principal loss if the rupee falls to 95. The bank's dollar payments match the lender's, so only the rupee leg is left. Unhedged, the company saves about Rs 17.4 crore a year while the rupee holds at 83, but a steady fall to 95 costs Rs 57 crore more over five years than the swap.

Step 1What does each exchange in the swap do?

A family that borrows from a relative abroad in dollars, but earns in rupees, worries about two things: the dollar instalments, and the lump sum at the end. A cross-currency swapAn agreement to exchange principal and interest in one currency for principal and interest in another, usually swapping principal at the start and back at the same rate at the end. handles both. At the start Rangpo hands the bank the USD 100 million it borrowed and gets Rs 830 crore; every year the bank pays the dollar interest the lender wants and Rangpo pays 8.9% on Rs 830 crore; at the end Rangpo pays Rs 830 crore and gets back USD 100 million to repay the loan. The dollar legs pass straight through to the lender, so the company is left with a plain rupee fixed-rate loan.

Three exchanges turn a dollar floating loan into a rupee fixed loan1. StartRangpo HydroPowerSwap bankUSD 100 mnRs 830 crorerupees to company; USD goes to bank2. Every yearRangpo HydroPowerSwap bankUSD floating + 1.8%8.9%: Rs 73.87 crorecompany pays bank3. MaturityRangpo HydroPowerSwap bankUSD 100 mnRs 830 crorecompany pays bankGreen: dollar flows that match the loan. Red: the rupee flows the company is left with.
Rangpo swaps USD 100 million for Rs 830 crore at the start, pays 8.9% in rupees while receiving the dollar interest it owes its lender each year, and swaps the rupees back for USD 100 million at maturity, so every dollar flow is matched.
Step 2What does the swap cost, and what does it save?

With the dollar rate at 5.0%, the loan costs 6.8%, USD 6.8 million a year. At 83 that is about Rs 56.44 crore, against Rs 73.87 crore on the swap: the swap costs about Rs 17.4 crore a year more while the rupee holds. That gap is not a fee; it reflects the difference between rupee and dollar interest rates, which is roughly what the forward market expects the rupee to lose each year. Unhedged, a steady fall to 95 raises the yearly interest to Rs 64.60 crore by year five and turns the Rs 830 crore principal into Rs 950 crore, a Rs 120 crore hit that equals about 6.9 years of the interest saving.

YearRupee per dollarUnhedged interest, Rs croreSwapped interest, Rs crore
185.458.0773.87
287.859.7073.87
390.261.3473.87
492.662.9773.87
595.064.6073.87
Principal at maturity950830
Five-year total1,256.71,199.3
If the rupee weakens in equal steps to 95, unhedged interest rises from Rs 58.07 crore to Rs 64.60 crore a year and principal costs Rs 950 crore, a five-year total of Rs 1,256.7 crore against Rs 1,199.3 crore swapped.
Five-year rupee cost, Rs crore: the swap fixes it, the open loan bets on 83Swapped, any rupee path1,199Unhedged, rupee stays at 831,112Unhedged, rupee falls to 95+120 principal1,257bars start at Rs 900 croreThe swap costs about Rs 17.4 crore a year more if the rupee holds; the 95 path costs Rs 120 crore on principal alone.
Swapped, the five-year rupee cost is Rs 1,199 crore on any path; unhedged it is Rs 1,112 crore if the rupee stays at 83 but Rs 1,257 crore if it falls to 95, with Rs 120 crore of that coming from the principal alone.
Step 3How would you put the choice to the board?

Lead with the mismatch. Rangpo earns rupees and owes dollars; without the swap it is running a five-year bet that the rupee will hold. The swap costs about Rs 17.4 crore a year in a calm market and protects a Rs 830 crore principal from a move that history shows is entirely possible. For a utility with regulated rupee tariffs, which cannot pass a currency loss to customers, that is insurance most boards will buy. Then name what the swap does not do: it fixes the rupee rate, so if Indian rates fall the company keeps paying 8.9%; it creates credit exposure between the company and the bank, which the bank will charge for; and breaking it early can cost a large mark-to-market if the rupee has moved. The limit of the comparison is the assumed path: it is one illustration, not a forecast of the rupee.

Where candidates lose it

The common loss is a units slip: 100 million dollars times 12 rupees is Rs 120 crore, not Rs 1,200 crore. Interviewers in India watch for million and crore conversions on purpose.

The second is comparing only the interest rates, 6.8% against 8.9%, and calling the swap expensive. The rate gap is the market's price for the currency risk; the comparison must include the principal.

What the interviewer asks next

  • The company swaps only the principal and leaves the interest unhedged. What risk is left?
  • Rupee rates fall 150 basis points in year two. What does the swap's mark-to-market do, and does the company care?
  • Why might the bank charge more for this swap than for a five-year rupee interest rate swap of the same size?
← Case 096A fund is short a bond future settling at 98.00 and must choose what to deliver: bond A at 101.20 with conversion factor 1.0300, B at 96.50 with 0.9850, C at 104.80 with 1.0700. Which is cheapest to deliver, and how could that change if yields rise sharply?Case 098 →A stock is at Rs 250. Price a six-month 260 call by Black-Scholes with 30% volatility and a 6% rate: compute d1, d2, the two probabilities and the call, then the put by parity.

Company names and figures are illustrative.

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