Question: Consider a 1 0 0 0 - strike put option and a forward contract on the S&R index with 6 months to expiration. The current

Consider a 1000-strike put option and a forward contract on the S&R index with 6 months to expiration. The current index price is $1000. The put writer receives the premium of $74.20 and the forward price is $1020. The annual interest rate is 4%.
At what price of the S&R index the long put option and the short forward contract have the same profit?

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