In: Finance
You are long call spread. The initial individual options
prices are c(40) = $2.78 and c(45) = $0.97. The relevant interest
rate is 8.33% and it is 0.25 years to expiry. At expiration, the
stock finishes at $44. Calculate the net P&L of the call
spread
The Call spread is constructed by buying the lower strike call option and Selling the higher strike call option.
The Net premium paid in Long call spread = $2.78- $0.97 = $1.81
Value of Call option at maturity = max(Stock price at maturity - strike price, 0)
So, Value of $40 strike call option at maturity (long) = max(44-40,0) = $4
Value of $45 strike call option at maturity (Short) = max(44-45,0) = 0
Net profit from the position = Net payoff - future value of net premium paid
= ($4-$0) - $1.81*(1+0.0833*0.25)
=$2.15