Using the information below to calculate the three-, and six-month forward premium or discount for US Dollar versus the British Pound using European term quotations. Assume each month has 30 days.
UK Pound in US$ per US$
Spot 1.1405 .8768
1-mos forward 1.1402 .8770
3-mos forward 1.1396 .8775
6-mos forward 1.1389 .8780
Answer 0.003159,0.002810
In% = 3 month premium .3159% , 6 month premium .2810%
Explanation
European term
Spot rate $/£ = 1.1405
3 month forward rate $/£ = 1.1396
USD at premium /(discount) =
=Spot rate- forward rate / forward rate *12/n
=1.1405 - 1.1396/1.1396* 12/3
=0.003159 or 0.3159% for premium USD versus british pound
Spot rate $/£ = 1.1405
6 month forward rate $/£ = 1.1389
USD at premium /(discount) =
=Spot rate- forward rate / forward rate *12/n
=1.1405 - 1.1389/1.1389* 12/6
=0.002810 or 0.2810% for premium USD versus british pound
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