In: Finance
You buy a 950-strike put for 51.777 and sell and 1050-strike call for 71.802. If you wanted a zero-cost collar keeping the put strike equal to $950m in what direction would you have to change the call strike?
Put strike: $950
Put cost: $51.777
Call strike: $1,050
Call price: $71.802
By selling the 1,050 strike call option we would receive a premium of $71.802 per share, which is more than the cost of put.
To make our position a zero-cost collar, we would move our call option strike further out of the money. That is, we move the call option strike greater than $1,050. The price of call options for strikes above 1,050 will be lower than the price of 1,050 strike call option.
We will choose a strike whose call option price is equal to $51.777 (closely)