In: Finance
The spot and 30-day forward rates for the Swiss franc are $0.9075 and $0.9120
respectively. The Swiss franc is said to be selling at an annualized forward
Solution :
The formula for calculating the annualized forward premium or forward discount for a given quote is
= [ ( Forward Rate – Spot rate ) / Spot Rate ] * 100 * ( 365 days / Period of quote )
As per the information given in the question we have
Spot rate of the Swiss Franc = $ 0.9075 ; 30 day Forward rate of the Swiss Franc = $ 0.9120
Period of the quote = 30 days ;
Applying the above information in the formula we have
= [ ( 0.9120 - 0.9075 ) / 0.9075 ] * 100 * ( 365 / 30 )
= [ 0.0045 / 0.9075 ] * 100 * 12.166667
= 0.004934 * 100 * 12.166667
= 6.003289 %
= 6.0033 %
Since the solution is positive the 30 day forward rate is at a premium of = 6.0033 %
Thus the Swiss franc is said to be selling at an annualized forward premium of 6.0033 %