Question 16.3: Computing the Percent-Per-Annum Discount Calculate the annua...
Computing the Percent-Per-Annum Discount
Calculate the annualized percentage discount on the 90-day or 3-month British pound given a 3-month forward rate of 1.5344 and a spot rate of 1.5350.
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STEP 1: Formulate a Solution Strategy
First, we have to identify F (the 3-month forward rate), S (the spot rate), and n (the number of months on the forward contract):
F = 1.5344, S = 1.5350, n = 3 months
Next, because S is greater than F, we compute the annualized percentage discount using equation (16-2):
premium (F > S) or discount (S > F) (16-2)
SF–S×n12×100 = Annualized percentage
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STEP 2: Crunch the Numbers
When we substitute into the equation, we get
Annualized percentage =1.53501.5344–1.5350×3 months12 months×100= -0.1564%
STEP 3: Analyze Your Results
The percent-per-annum premium is negative on the 90-day pound at -0.1564%