The spot rate for the Singapore dollar is $.588. The 30-day forward rate is $.590. The forward rate contains an annualized ____ of ____ percent. a. discount; -4.07 b. premium; 4.07 c. discount; -4.08 d. premium; 4.08 e. premium; 3.40
Solution:
The formula for calculating the annualized forward premium / discount is
= [ ( Forward rate – Spot rate ) / Spot rate ] * ( 360 / No. of days of forward ) * 100
As per the information given in the question we have
Forward rate of Singapore Dollar= $ 0.590 ; Spot rate of Singapore Dollar = $ 0.588 ;
No. of days of the forward = 30
Applying the above values in the formula we have
= [ ( 0.590 – 0.588 ) / 0.588 ] * ( 360 / 30 ) * 100
= [ 0.002 / 0.588 ] * 12 * 100
= 0.003401 * 12 * 100
= 4.081633 %
= 4.08 % ( when rounded off to two decimal places )
Since the solution is positive the forward rate is at a premium.
Thus the forward rate contains an annualized premium of 4.08 percent .
Thus the solution is Option d. Premium ; 4.08
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