Solution:
The formula for calculating the annualized forward premium / discount on a given currency is
= [ ( Forward rate – Spot rate ) / Spot rate ] * ( 12 / No. of months ) * 100
As per the information given in the question we have
Forward rate of British Pound = $ 1.5520 ; Spot rate of British Pound = $ 1.5800 ;
No. of months = 1
Applying the above values in the formula we have
= [ ( 1.5520 – 1.5800 ) / 1.5800 ] * ( 12 / 1 ) * 100
= [ - 0.0280 / 1.5800 ] * 12 * 100
= - 0.017722 * 12 * 100
= - 0.212658 * 100
= - 21.2658 %
= - 21.27 % ( when rounded off to two decimal places )
Since the solution is negative the British pound is said to be selling at a forward discount.
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