ou purchased a share of XYZ Corporation at $25,$ and it has now increased to $45.$

You are given:

$($i$)$ the annual risk free rate is $5\%$;

$($ii$)$ the price for a three month call option with an exercise price of $35$ is $13$;

$($iii$)$ XYZ does not pay dividends; and

$($iv$)$ you want to lock in a sale price of at least $35$ for the next three months.

What is the cost of the option that achieves this result?