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A forward rate
agreement (FRA) is a
cash-settled forward contract on a
short-term loan. For example, a 2 5 FRA is a 2-month forward on a 3-month
loan. The interest rate on the loan, called the FRA rate, is set when the
contract is first entered into.
Because FRAs are cash settled, no loan is ever actually
extended. Instead, contracts settle with a single cash payment made on the
first day of the underlying loan, which is called the
settlement date. The
formula for the payment is
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[1] |
where
notional is the
notional amount of the loan,
the reference rate is typically
a
Libor rate or
Euribor,
days is the number of days the loan is for,
and
basis is the day count basis applicable to
money market transactions in the currency of the loan—usually either 360 or 365
days.
Consider an example. A 4 10
USD 20MM FRA is transacted with an FRA rate of
3.4%. The four month forward period starts on the
spot date and extends to
the settlement date. Typically, the spot date is two business days after
the trade date. Two business days before the settlement date is the fixing
date. This is the date on which the value of the reference rate is
determined. For this FRA, the reference rate is 6-month USD Libor. Suppose
6-month Libor is 3.7% on the fixing date. The USD money market uses a 360
day basis. On the settlement date, the borrower (the party that is
long
the FRA) receives from the lender (the party that is short the FRA) the
amount
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[2] |
Suppose for this example that there are 186 days in the
loan period. In that case, the payment would be USD 30,418.
Although they are traded
OTC, FRAs have fairly
standardized contract provisions. As a hedging vehicle, they are very
similar to Eurodollar futures but have the
advantage that they can be traded for any maturity date. Eurodollar
futures, which are traded on exchanges, only mature on four specific dates
a year.
Another difference between FRAs and Eurodollar futures is
the fact that FRA's entail pre-settlement
risk. Eurodollar futures, because they are transacted
through an exchange, do not.
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bankers acceptance
An acceptance that has a bank as its drawee.
compound interest
Any of several methods of crediting interest in which interest is earned on interest.
credit risk Risk due to
uncertainty in a counterparty's ability to meet its obligations.
derivative
instrument An instrument
which derives value from the value of some commodity, energy, or other financial
instrument.
fixed income
term structure Refers collectively to a spot curve, forward curve,
discount curve, yield curve or any other curve that describes the time value of
money at a particulate point in time.
future
An exchange-traded derivative that is similar to a forward.
forward contract
A trade that is agreed to at one point in time but will
take place at some later time.
interest
rate parity An arbitrage condition that must hold between the spot interest
rates of different currencies.
interest
rate swap A swap under which both cash flow streams are in the same currency and are defined as cash flow streams that might be associated with some fixed income obligations.
Libor
London Interbank Offered Rate.
floater
A fixed income instrument whose coupon fluctuates with some designated reference
rate.
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Ads by Contingency Analysis
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Fabozzi, Mann and Choudhry (2002)
is an introduction to the money markets. Das (2003)
is the authoritative reference on derivatives. Both provide
detailed descriptions of FRAs.
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