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Motivation for a currency swap. A small UK firm wants to convert floating-rate debt into fixed-rate $ debt to offset its revenues from US salesThe UK firm's alternatives includeA direct issue in US dollarsA parallel loan that trades floating-rate debt for the fixed-rate $ debt of a U.S. co
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1. Chapter 7Currency Swaps & Swaps Markets
2. Motivation for a currency swap A small UK firm wants to convert floating-rate Ł debt into fixed-rate $ debt to offset its revenues from US sales
The UK firm’s alternatives include
A direct issue in US dollars
A parallel loan that trades floating-rate Ł debt for the fixed-rate $ debt of a U.S. company
3. A parallel loan Borrow in your local currency and then trade for the debt of a foreign counterparty
Parallel loans provide access to new capital markets
Legally circumvent taxes on cross-border currency transactions
Provide foreign-source financing for foreign subsidiaries
May lower the firm’s cost of capital
4. Problems with parallel loans The foreign counterparty may have default risk
Parallel loans must be capitalized on the balance sheet
Search costs can be high
5. The swap contract The solution: Package the parallel loans into a single legal agreement called the swap contract
This reduced the default risk of parallel loans via the rights of set-off
Swaps need not be capitalized on the balance sheet
As volume in the swaps market rose, search costs were reduced and liquidity increased
6. Currency swaps…“I’ll pay yours if you pay mine” Currency Swap
An agreement to exchange a principal amount of two currencies and, after a pre-arranged length of time, re-exchange the original principal
Interest payments are also usually swapped during the life of the contract
7. Development of the swaps market 1981
Salomon Brothers engineers the first currency swap between the World Bank and IBM
Early 1980s
Customized, low-volume, high-margin deals
Late 1980s and 1990s
Commercial and investment banks begin to serve as swaps dealers
Swaps turn into a standardized, high-volume, low-margin business
Volume and liquidity grow
8. A note on day count conventions Adjusting for day count conventions
Bond equivalent yields (BEY) are quoted as Actual/365
Money market yields (MMY) are quoted as Actual/360
The relation between the two is
MMY = BEY (360/365)
9. Example of a currency coupon swap Ford Motor Company (U.S.)
Ford has $100 million in 2-year, fixed-rate dollar debt at 6.62% compounded semiannually (sa)
Ford wants floating-rate Indian rupee debt
Tata Motors (India)
TM has Rupee 4.032 billion in 2-year, floating-rate rupee debt with semiannual payments priced at LIBOR+60 bps
TM wants fixed-rate U.S. dollar debt
10. Pricing schedule for a Rupee/$ currency coupon swap
Maturity Bid ($) Ask ($)
2 years 6.04% 6.20%
All quotes are U.S. dollars semiannual actual/365 against 6-month LIBOR flat in rupees
S0Rp/$ = Rp 40.3200/$
Assume yield curves are flat, and the dollar is selling at a six-month forward premium of 2.04%
11. TM’s “uncovered” swap cash flows
12. TM’s “fully covered” swap cash flows
13. A “fully covered” swap(floating-to-fixed conversion) 1. Convert the floating rate (MMY) spread to LIBOR into BEY = MMY (365/360)
2. Find the corresponding spread in the other currency from equation (7.2)
(7.2)
3. Calculate the fixed rate payment from the spread and the swap ask rate
14. 1. Convert the floating rate (MMY) spread to LIBOR into BEY TM’s 30 bp spread to LIBOR is quoted as a money market yield (MMY)
The bond equivalent yield is
BEY = MMY (365/360)
= (30 bps) (365/360)
= 30.4167 bps every six months
or 60.8333 bps per year (sa)
15. 2. Find the corresponding spread in the other currency The $ swap mid-rate is 6.12 percent or i$ = 3.06 percent per six months
The dollar is at a 6-month forward premium of 2.04%, so the 6-month rupee interest rate is
iRp = (1+i$)(F1Rp/$/S0Rp/$)–1
= (1.0306)(1.0204)–1
= 5.162424% per six months
16. 2. Find the corresponding spread in the other currency Equation (7.2) is used to find an equivalent fixed rate spread in another currency
(7.2)
Yield curves are flat in our problem, so the following values are useful:
PVIFA$ (3.060000%, 4 periods) = 3.711771
PVIFARp (5.162424%, 4 periods) = 3.532613
17. 2. Find the corresponding spread in the other currency TM’s LIBOR spread is 30.4167 bps in rupees
Solving equation (7.2) for the equivalent dollar spread r$ results in
(7.2)
or r$ = (30.4167 bps) (3.532613 / 3.711771)
= 28.9485 bps per six months
18. 3. Calculate the payment from the swap ask rate and the spread TM’s all-in cost of fixed rate dollar debt is
3.100000 percent (swap ask rate)
+ 0.289485 percent (spread)
r$ = 3.389485 percent per six months
or 6.778970 percent per year
compounded semi-annually
or APR = (1.03389485)2 – 1 = 6.893857%
19. Ford’s “uncovered” swap cash flows
20. Ford’s “fully covered” swap cash flows
21. A “fully covered” swap(fixed-to-floating conversion) 1. Find the spread over the swap bid rate
2. Find the corresponding spread in the other currency from equation (7.2)
(7.2)
3. Convert this BEY spread to a MMY spread over LIBOR
22. 1. Calculate the spread to the swap bid rate Ford’s dollar spread to the swap bid rate is
3.31 percent (fixed interest rate)
– 3.02 percent (swap bid rate)
r$ = 0.29 percent every six months ($)
23. 2. Find the corresponding premium in the other currency Solving equation (7.2) for the rupee spread rRp that yields the same present value as the dollar spread results in
(7.2)
or rRp = (29 bps) (3.711771 / 3.532613 )
= 30.4708 bps per six months (BEY)
24. 3. Convert the BEY spread to a floating rate MMY spread Ford’s 30.4708 bp spread is quoted as a bond equivalent yield (BEY)
The corresponding money market yield is
MMY = BEY (360/365)
= (30.4708 bps) (360/365)
= 30.0533 bps every six months
Ford’s all-in cost of floating rate rupee debt is LIBOR + 60.1067 bps (sa)
25. The swap bank’s“uncovered” cash flows
26. The swap bank’s“fully covered” cash flows
27. The swap bank’s“fully covered” cash flows
28. Interest rate swaps Interest rate swap
Same as a currency swap, but in a single currency
A difference check is paid during the life of the swap
The principal is purely notional, and is not swapped
29. Floating-to-fixed conversionfor an interest rate swap 1. Convert the floating rate (MMY) spread to LIBOR into BEY = MMY (365/360)
2. Find the corresponding spread in the other currency from equation (7.2)
Step 2 is no longer necessary…
3. Calculate the fixed rate payment from the spread and the swap ask rate
30. Fixed-to-floating conversionfor an interest rate swap 1. Find the spread over the swap bid rate
2. Find the corresponding spread in the other currency from equation (7.2)
Step 2 is no longer necessary…
3. Convert this BEY spread to a MMY spread over LIBOR
31. Commodity swaps Commodity swaps are traded against a variety of commodity prices including
Oil
Gold
Pork belly prices
Most commodity swaps are fixed-for-floating swaps based upon spot prices
32. An oil-for-euro swap A Dutch chemicals manufacturer uses 500,000 barrels of oil every 3 months
The manufacturer has contracted to sell its products at a fixed euro price for 5 years and wants to fix its input costs in euros as well
33. An oil price swap
34. An oil price swap
35. An oil price swap
36. A debt-for-equity swap A London bank holds a volatile portfolio of H-shares that is highly correlated with the Hang Seng China Enterprises index
The bank decides it would rather hold fixed-rate pound sterling debt
Combine the following three swaps to achieve the desired result:
A fixed-for-floating Ł interest rate swap
A pound-for-HK$ currency swap
An equity swap for fixed-rate HK$ debt
37. Swapping H-shares for Ł debt
38. Swapping H-shares for Ł debt
39. Swapping H-shares for Ł debt
40. Swaptions A swaption is a swap with one or more options attached
Interest rate ceilings or floors
Exchange rate caps
Multiple options (e.g. cylinder options)
The option component of a swaption is on the underlying fixed-rate bond and is priced accordingly