Final answer:
The total amount paid by the corporation if it acts rationally is approximately $2,797,525.25.
Step-by-step explanation:
To hedge a 75,000 British pound payable, a U.S. corporation has purchased currency call options. The premium for the options is $5,035 and the exercise price is $135. If the spot rate at maturity is $1.45, we can calculate the total amount paid by the corporation as follows:
The number of contracts purchased = Payable amount / Exercise price = 75,000 / 135 = 555.55 (approx)
Total premium paid = Number of contracts * Premium = 555.55 * 5,035 = $2,797,525.25 (approx)
Therefore, the total amount paid by the corporation if it acts rationally is approximately $2,797,525.25.