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\mathrm{.}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?