=
F$/¥ S$/¥
…so be a bit careful about that
6-10
Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
IRP and Covered Interest Arbitrage
Future
value
=
$100,000(1
+
i£)×
F$/£ S$/£
Since these investments have the same risk, they must have
the same future value (otherwise an arbitrage would exist)
Forward Premium
It’s just the interest rate differential implied by forward premium or discount.
For example, suppose the € is appreciating from S($/€) = 1.25 to F180($/€) = 1.30
Spot exchange rate 360-day forward rate U.S. discount rate British discount rate
S($/£) = $1.25/£
F360($/£) = i$ = i£ =
$1.20/£ 7.10% 11.56%
6-11
Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.