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Transcript
FORWARD DISCOUNTS AND PREMIUMS
Consider the relationship between
forward and spot rates:
𝑖𝑓 − 𝑖𝑑
𝐹𝑓 𝑑 − 𝑆𝑓 𝑑 = 𝑆𝑓 𝑑
τ
1 + 𝑖𝑑 τ
where
𝐹𝑓
𝑑
= Forward rate
𝑆𝑓
𝑑
= Spot rate
𝑖𝑑 = Domestic interest rate
𝑖𝑓 = Foreign interest rate
τ = Time (in years)
This means that any premium or
discount is a function of the interest
rates (domestic, 𝑖𝑑 , and foreign, 𝑖𝑓 )
and time, τ.
Copyright © 2014 CFA Institute
Example
Suppose that the AUD/USD spot rate
is 0.8808 and that the one-month
forward rate is 0.8789.
Therefore,
• 𝐹𝑓
𝑑
= 0.8789,
• 𝑆𝑓
𝑑
= 0.8808, and
• τ = 30/360.
There is a forward discount of
0.8808 – 0.8789 = – 0.0019
or 19 pips, so 𝑖𝑓 < 𝑖𝑑 .
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