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:: Interest Rate Swaps ::
An Interest Rate Swap is a private agreement between two parties
to exchange one stream of cash flow for another stream of cash flow on
a specific amount of principal for a specific period of time. Investors
use swaps to exchange fixed-rate liabilities/assets into floating rate
liabilities/assets and vice versa.
For example, consider Company A with £50,000,000 of floating-rate
debt outstanding on which it is paying LIBOR plus 150 bps (basis points),
i.e. if LIBOR is 4%, the interest rate would be 5.5%. The company thinks
that interest rates will rise, i.e. company's interest expense will rise,
and the company decides to convert its debt from floating-rate into fixed-rate
debt.
Now consider Company B which has £50,000,000 of fixed-rate 6%
debt. The company thinks that interest rates will fall, which would benefit
the company if it has floating-rate debt instead of fixed-rate debt, since
its interest expense will reduce. By entering into an interest rate swap
with Company A, both counterparties can effectively convert their existing
liabilities into the ones they truly want.
![[Graphics:Images/interestrateswaps_gr_1.gif]](Images/interestrateswaps_gr_1.gif)
In this swap, Company A might agree to pay Company B fixed-rate interest
payments of 5% and Company B might agree to pay Company A a floating-rate
interest payments of LIBOR. Therefore Company A will pay LIBOR + 150 to
its original lender and 5% in the swap, giving a total of LIBOR + 6.5%,
it receives LIBOR in the swap. This leaves an all-in cost of funds of
6.5%, a fixed rate. In the case of Company B, it pays 6% to its original
lender and LIBOR in the swap, giving a total of LIBOR + 6%. In return
it receives 5% in the swap, leaving an all-in cost of LIBOR + 1%, a floating
rate.
Applications of Swaps
The interest rate swap market is driven by the differences in the credit
quality between entities borrowing money. Some corporations may have a
better borrowing profile in short maturities than they do in long maturities.
Others with more creditworthy status have an advantage raising money with
longer maturities. Therefore in fixed-floating interest rate swaps, the
corporation paying fixed and receiving floating is usually the less creditworthy
of the two counterparties.
Interest rate swaps give the less creditworthy entity a way of borrowing
fixed rate debts for a longer term at cheaper rates than they could in
the capital markets by taking advantage of its relative strength in raising
funds with shorter maturities.
Consider two companies C and D with credit ratings of AA and BBB+ respectively.
The 3-year fixed interest rates for AA and BBB+-rated companies are 6%
and 7% respectively. The 3-year floating interest rates these two companies
are LIBOR + 10 (bp) and LIBOR + 60 respectively. Higher credit rating
means lower borrowing rates.
The AA-rated Company C is able to save 50 bp relative to BBB+-rated
company D if it borrows at the prevailing market floating-rates, however,
it is able to save 100 bp (7% - 6%) over BBB+-rated companies should it
borrows at the fixed-rate. Therefore Company C has a competitive advantage
on the fixed-rate side of the market. Likewise, for BBB+-rated company,
it will have to pay a premium of 100 bp relative to AA-rated companies
at fixed-rate. However, it only has to pay a premium of 50 bp relative
to AA-rated companies at floating-rate. Company D therefore has a competitive
advantage on the floating-rate side of the market.
Say Company C wants to borrow £100,000,000 at floating rate for
three years and Company D wants to borrow the same amount at fixed rate
similarly for three years, i.e. both companies want to borrow at the weak
sides of the market. Instead of doing so, they could borrow on what for
them are the strong sides of the market and enter an interest rate swap
convert their debts to the types they want. By doing so, the combined
savings in interest expense can further reduced their borrowing costs.
If they borrow at the weak side of the market, i.e. Company C at LIBOR
+ 10 and Company D at 7%, the combined interest would be LIBOR + 7.1%
(assume interest calculations are the same). If instead they borrow at
the strong sides of the market, the combined interest would be LIBOR +
6.6%, i.e. a combined savings of 50 bp.
Should they decided to benefit equally from this swap, then each party
will benefit by 25 bp. Therefore Company C could lock in a cost of LIBOR
+ 10, with a benefit of 25 bp, the total all-in cost will be just LIBOR
- 15. Likewise, Company D will have an all-in cost of 6.75%.
![[Graphics:Images/interestrateswaps_gr_2.gif]](Images/interestrateswaps_gr_2.gif)
Valuing Swaps
There are several steps to value swaps:
1. Identify the cash flow.
2. Construct the swap curve, obtained from the government yield curve
and the swap spread curve.
3. Construct a zero-coupon curve from the swap curve.
4. Present value the cash flows using the zero-coupon rates.
The swap spread is usually obtained from market makers (e.g. traders
at financial institutions), the market-determined additional yield that
compensates counterparties who receive fixed payments in a swap for the
credit risk involved in the swap. Most swaps are priced to be at-the-money
at inception, i.e. value of floating-rate cashflows is identical to the
value of fixed-rate cashflows.
Written by Henry Tang.
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